TSTP Solution File: SWV834-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV834-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:44 EDT 2022
% Result : Timeout 300.03s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV834-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 05:30:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.11/1.50 *** allocated 10000 integers for termspace/termends
% 1.11/1.50 *** allocated 10000 integers for clauses
% 1.11/1.50 *** allocated 10000 integers for justifications
% 1.11/1.50 *** allocated 15000 integers for termspace/termends
% 1.11/1.50 *** allocated 22500 integers for termspace/termends
% 1.11/1.50 Bliksem 1.12
% 1.11/1.50
% 1.11/1.50
% 1.11/1.50 Automatic Strategy Selection
% 1.11/1.50
% 1.11/1.50 Clauses:
% 1.11/1.50 [
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.11/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.11/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.11/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.11/1.50 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.11/1.50 ), hBOOL( 'c_in'( hAPP( X, Z ), 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.50 'tc_bool' ) ) ) ), Y, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.50 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.11/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.11/1.50 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.11/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 1.11/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.50 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 1.11/1.50 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.50 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.11/1.50 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.50 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Z ), T ) ) ) ],
% 1.11/1.50 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 1.11/1.50 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.11/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.11/1.50 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.50 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.11/1.50 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Y ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.11/1.50 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP(
% 1.11/1.50 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ), X ), X ) ), ~(
% 1.11/1.50 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X ), X ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.11/1.50 , 'tc_bool', X ), 'c_Not' ), Y ), X ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.11/1.50 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X ), X ) ) ],
% 1.11/1.50 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 1.11/1.50 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 1.11/1.50 'c_Set_Oimage'( X, U, W, T ) ), Z ) ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.50 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_Set_Oimage'( Z, T, U, Y ) ) ) ), ~(
% 1.11/1.50 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.11/1.50 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.50 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.11/1.50 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.11/1.50 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) )
% 1.11/1.50 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z )
% 1.11/1.50 , W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.50 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 1.11/1.50 hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ) ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 1.11/1.50 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.50 'c_Set_Oinsert'( X ), Z ), T ) ) ) ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.50 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X
% 1.11/1.50 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.11/1.50 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.50 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X
% 1.11/1.50 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.11/1.50 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.50 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 1.11/1.50 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ), ~(
% 1.11/1.50 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.11/1.50 'tc_bool' ) ), X, T ) ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.50 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 1.11/1.50 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.11/1.50 ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.11/1.50 'tc_bool' ) ), T, X ) ) ],
% 1.11/1.50 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 1.11/1.50 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 1.11/1.50 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.11/1.50 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 1.11/1.50 ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.11/1.50 , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U,
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( X, Y,
% 1.11/1.50 Z ), T ), U ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.50 , Z, Y ), Y ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( U,
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, X ), X ) )
% 1.11/1.50 ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.50 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 1.11/1.50 hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 1.11/1.50 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.50 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.11/1.50 , V2, Z, Y ) ) ],
% 1.11/1.50 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.50 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.11/1.50 , Z, V2, Y ) ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.11/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~(
% 1.11/1.50 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_Finite__Set_Ofold1'(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T, X ) ) ) ), =( T,
% 1.11/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.11/1.50 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.11/1.50 , X ) ) ],
% 1.11/1.50 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.50 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z,
% 1.11/1.50 Y, U ) ) ],
% 1.11/1.50 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.50 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.50 X ), Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ =( 'c_Collect'( X, Y ), X ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.11/1.50 , T ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.11/1.50 , Z ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.50 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.50 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.50 X ), Y ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.11/1.50 ) ) ],
% 1.11/1.50 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.11/1.50 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.11/1.50 ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.11/1.50 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.50 ) ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.11/1.50 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 1.11/1.50 , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.11/1.50 , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 1.11/1.50 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 1.11/1.50 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.11/1.50 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.11/1.50 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.11/1.50 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.50 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), T ), Z ) )
% 1.11/1.50 ) ],
% 1.11/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.50 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.11/1.50 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.11/1.50 hBOOL( 'c_in'( U, T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.11/1.50 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.50 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.11/1.50 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.11/1.50 hBOOL( 'c_in'( U, T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.11/1.50 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.11/1.50 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.50 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.50 hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( T, U, W ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Z, W, 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ) ) ) ) ],
% 1.11/1.50 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) )
% 1.11/1.50 ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.11/1.50 , Z ) ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.50 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, Y, W, 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.11/1.50 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 1.11/1.50 ), X ) ],
% 1.11/1.50 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) )
% 1.11/1.50 , ~( hBOOL( 'c_in'( X,
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 1.11/1.50 T, 'tc_bool' ) ), T ) ) ) ],
% 1.11/1.50 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( T, hAPP( U, X ), W ) )
% 1.11/1.50 , ~( hBOOL( 'c_in'( T,
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, U, Z, 'tc_fun'(
% 1.11/1.50 W, 'tc_bool' ) ), W ) ) ) ],
% 1.11/1.50 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) )
% 1.11/1.50 , ~( hBOOL( 'c_in'( X,
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 1.11/1.50 T, 'tc_bool' ) ), T ) ) ) ],
% 1.11/1.50 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.11/1.50 X ), Y ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.11/1.50 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.11/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), Y ),
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.11/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.11/1.50 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.50 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.11/1.50 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.11/1.50 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.11/1.50 'tc_bool' ) ), Y, U ) ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.11/1.50 , =( Z, W ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.11/1.50 , =( Y, U ) ],
% 1.11/1.50 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.11/1.50 , =( X, T ) ],
% 1.11/1.50 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.50 'c_Set_Oimage'( Y, hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.50 , T ), U ), Z, X ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , 'c_Set_Oimage'( Y, T, Z, X ) ), 'c_Set_Oimage'( Y, U, Z, X ) ) ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.11/1.50 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.11/1.50 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.11/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.11/1.50 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 1.11/1.50 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 1.11/1.50 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 1.11/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.50 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 1.11/1.50 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.50 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 1.11/1.50 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 1.11/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.50 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 1.11/1.50 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.50 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 1.11/1.50 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 1.11/1.50 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), Z ), T ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.50 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.50 X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.11/1.50 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.11/1.50 'tc_bool' ) ), Y ) ) ],
% 1.11/1.50 [ 'c_Finite__Set_Ofinite'(
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z, 'tc_fun'(
% 1.11/1.50 T, 'tc_bool' ) ), T ), ~( 'c_Finite__Set_Ofinite'( hAPP( Y, U ), T ) ),
% 1.11/1.50 ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 1.11/1.50 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.11/1.50 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 1.11/1.50 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, hAPP( hAPP(
% 1.11/1.50 'c_COMBB'( T, 'tc_fun'( W, 'tc_bool' ), Z ), U ), X ), Z, 'tc_fun'( W,
% 1.11/1.50 'tc_bool' ) ) ) ],
% 1.11/1.50 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 1.11/1.50 ) ],
% 1.11/1.50 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 1.11/1.50 ) ],
% 1.11/1.50 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 1.11/1.50 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.11/1.50 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.11/1.50 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 1.11/1.50 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.11/1.50 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.11/1.50 Y, Z ) ],
% 1.11/1.50 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.50 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.11/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.11/1.50 'tc_fun'( X, 'tc_bool' ) ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.50 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.50 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.11/1.50 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.11/1.50 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.50 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T
% 1.11/1.50 ) ), hBOOL( 'c_in'( U, T, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ]
% 1.11/1.50 ,
% 1.11/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.50 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.11/1.51 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ =( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.11/1.51 'c_Set_Oimage'( T, 'c_Set_Oimage'( U, 'c_Orderings_Otop__class_Otop'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), Z, X ), X, Y ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 1.11/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.11/1.51 'c_Set_Oimage'( X, Y, Z, Z ) ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 1.11/1.51 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), T ) ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X
% 1.11/1.51 ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), U ), T ), Z, X ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.11/1.51 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, X ) ),
% 1.11/1.51 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , T ), U ), Z, X ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X
% 1.11/1.51 ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), U ), T ), Z, X ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.11/1.51 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , T ), U ), Z, X ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.11/1.51 , 'tc_bool' ) ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 1.11/1.51 ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 1.11/1.51 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ),
% 1.11/1.51 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T
% 1.11/1.51 , 'tc_bool' ) ), Z ), U ), T, X ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , T ), Y ), Z ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , Y ), T ), Z ) ) ) ],
% 1.11/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.11/1.51 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 1.11/1.51 U, W ) ) ],
% 1.11/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.11/1.51 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 1.11/1.51 =( Y, Z ) ],
% 1.11/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.11/1.51 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 1.11/1.51 =( Y, Z ) ],
% 1.11/1.51 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.11/1.51 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 1.11/1.51 , U ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.11/1.51 Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.11/1.51 Y ), Z ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 1.11/1.51 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.11/1.51 ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Z ), Y ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.11/1.51 ), Y ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 1.11/1.51 ) ],
% 1.11/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 1.11/1.51 ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.11/1.51 Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL(
% 1.11/1.51 'c_in'( X, Z, Y ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.11/1.51 Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL(
% 1.11/1.51 'c_in'( X, Z, Y ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'(
% 1.11/1.51 X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 'c_Fun_Oinj__on'( X
% 1.11/1.51 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, U ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), X ), T ) )
% 1.11/1.51 , Y ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y
% 1.11/1.51 , T, U, X ) ), 'c_Set_Oimage'( Y, T, U, X ) ), ~( hBOOL( 'c_in'( Z, T, U
% 1.11/1.51 ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 1.11/1.51 Z, Y, X ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.51 ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z
% 1.11/1.51 ) ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 1.11/1.51 Z, Y, X ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.11/1.51 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) ), hBOOL( 'c_in'( T, Y
% 1.11/1.51 , X ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X,
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.11/1.51 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 1.11/1.51 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X,
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.11/1.51 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 1.11/1.51 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 1.11/1.51 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 1.11/1.51 Z, 'v_x' ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.11/1.51 , 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.11/1.51 , 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.11/1.51 ), T ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.11/1.51 ), Z ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.11/1.51 ), T ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.11/1.51 ), Z ) ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 1.11/1.51 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.11/1.51 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.11/1.51 X ) ), Z ) ) ],
% 1.11/1.51 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z,
% 1.11/1.51 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.11/1.51 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Otop__class_Otop'(
% 1.11/1.51 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 1.11/1.51 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 1.11/1.51 , V3, V4, U ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 1.11/1.51 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 1.11/1.51 , V3, V4, U ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 1.11/1.51 ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.11/1.51 =( X, Z ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.11/1.51 =( Y, T ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.11/1.51 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), U ), T ) ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 1.11/1.51 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 1.11/1.51 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.11/1.51 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.11/1.51 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.11/1.51 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.11/1.51 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), U ), W ), T, 'tc_fun'(
% 1.11/1.51 Z, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.11/1.51 'c_Set_Oimage'( W, X, T, Y ), U, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.11/1.51 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( Y, X ) ), =( 'c_Finite__Set_Ofold1'(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.51 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X ) ),
% 1.11/1.51 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ) ),
% 1.11/1.51 hAPP( Z, U ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ) ), hAPP( Z, U ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.11/1.51 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.11/1.51 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.11/1.51 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.11/1.51 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Otop__class_Otop'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.11/1.51 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.11/1.51 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 1.11/1.51 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.11/1.51 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.11/1.51 ) ) ), Y ), Y ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ), Y ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.11/1.51 , 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , T ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ],
% 1.11/1.51 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ), T, X ) ), ~( hBOOL( 'c_List_Olistsp'( Z, T, X ) ) ), ~( hBOOL(
% 1.11/1.51 'c_List_Olistsp'( Y, T, X ) ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.11/1.51 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Ofold1'(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ), hBOOL( 'c_in'( Y, Z, X ) )
% 1.11/1.51 , ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), U ), W ), T, 'tc_fun'(
% 1.11/1.51 Z, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.11/1.51 'c_Set_Oimage'( W, X, T, Y ), U, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.11/1.51 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.11/1.51 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.11/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.11/1.51 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), Y ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.11/1.51 ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.11/1.51 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.11/1.51 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.11/1.51 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 1.11/1.51 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 1.11/1.51 'tc_bool' ) ), hAPP( T, Y ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.11/1.51 U, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), 'c_Finite__Set_Ofold1'(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y, X ) ), Z ) ), ~(
% 1.11/1.51 hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 1.11/1.51 X ), Y ) ), Z ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.11/1.51 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.11/1.51 Z ) ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.11/1.51 Z ) ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), Y ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), Z ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.11/1.51 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.11/1.51 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X ) ),
% 1.11/1.51 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ),
% 1.11/1.51 =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.11/1.51 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 1.11/1.51 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.11/1.51 'tc_bool' ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 1.11/1.51 , 'v_x' ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL(
% 1.11/1.51 'c_in'( Y, T, X ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Z ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.11/1.51 , 'tc_bool' ) ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.51 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.11/1.51 ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.11/1.51 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.11/1.51 ) ) ) ],
% 1.11/1.51 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.11/1.51 Y, X ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 1.11/1.51 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.11/1.51 'tc_bool' ) ) ) ), Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Z ), Y ), T ), Z, U ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , T ), X ), Y ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , X ), T ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Y, X ), Z ), 'c_Set_Oimage'( T, U, W, Y ) ),
% 1.11/1.51 hAPP( hAPP( 'c_Finite__Set_Osetsum'( W, X ), 'c_Fun_Ocomp'( Z, T, Y, X, W
% 1.11/1.51 ) ), U ) ), ~( 'c_Fun_Oinj__on'( T, U, W, Y ) ) ],
% 1.11/1.51 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, Y, Z, Z ) ) ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.11/1.51 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , U ), Y ), Z, T ) ) ],
% 1.11/1.51 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.11/1.51 , Y ), U ), Z, T ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.11/1.51 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.11/1.51 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.11/1.51 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.11/1.51 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.11/1.51 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.11/1.51 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.11/1.51 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.11/1.51 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.11/1.51 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.11/1.51 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( U, W, T ), X ), Y ), Z, T, W ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.11/1.51 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.11/1.51 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.11/1.51 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.51 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.11/1.51 , V2, Z, Y ) ) ],
% 1.11/1.51 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.51 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.11/1.51 , Z, V2, Y ) ) ],
% 1.11/1.51 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.11/1.51 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ), Y ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ), Y ) ) ) ],
% 1.11/1.51 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ), Y ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.11/1.51 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.11/1.51 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.11/1.51 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.11/1.51 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 1.11/1.51 ],
% 1.11/1.51 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ), Y ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.11/1.51 ) ) ), Y ), Y ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 1.11/1.51 ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), X ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.11/1.51 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.11/1.51 ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.11/1.51 'tc_bool' ) ) ) ],
% 1.11/1.51 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ), Y, Z ) ],
% 1.11/1.51 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.11/1.51 ) ), Z, X ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 X ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.11/1.51 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.11/1.51 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 1.11/1.51 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ), Z ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.11/1.51 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 1.11/1.51 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 1.11/1.51 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.11/1.51 ), hAPP( hAPP( 'c_Set_Oinsert'( U ), hAPP( X, Z ) ), 'c_Set_Oimage'( X,
% 1.11/1.51 T, Y, U ) ) ) ],
% 1.11/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.11/1.51 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.11/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.11/1.51 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.11/1.51 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.11/1.51 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Y ) ), Z ) ) ) ],
% 1.11/1.51 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 1.11/1.51 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 1.11/1.51 Y, Z, X ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Ocontents'( X, Y ), 'c_The'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.11/1.51 Y, 'tc_bool' ), 'tc_bool', Y ), hAPP( 'c_fequal'( 'tc_fun'( Y, 'tc_bool'
% 1.11/1.51 ) ), X ) ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( Y, 'tc_bool' ) ) ) ), Y ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X,
% 1.11/1.51 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.11/1.51 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ), X ), X ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( 'c_Collect'( Z, X ), X ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X ), X ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( X, Y ), Y ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( Y, 'tc_bool'
% 1.11/1.51 , 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.11/1.51 'tc_bool' ), Y ), 'c_or' ), Z ) ), X ), Y ), Y ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( X, Y ), Y ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( Y, 'tc_bool'
% 1.11/1.51 , 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.11/1.51 'tc_bool' ), Y ), 'c_or' ), X ) ), Z ), Y ), Y ) ) ],
% 1.11/1.51 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or'
% 1.11/1.51 ), Y ) ), Z ), X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , 'c_Collect'( Y, X ) ), 'c_Collect'( Z, X ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.11/1.51 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.11/1.51 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.11/1.51 , hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ), X ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T
% 1.11/1.51 ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) )
% 1.11/1.51 ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 1.11/1.51 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.11/1.51 ) ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.11/1.51 ) ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.11/1.51 ) ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.11/1.51 ) ), Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.11/1.51 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Ofold1'(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.11/1.51 Z, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 1.11/1.51 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.11/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.11/1.51 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.11/1.51 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.11/1.51 ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) )
% 1.11/1.51 ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.11/1.51 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 1.11/1.51 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.11/1.51 ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 X ), Y ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.11/1.51 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.11/1.51 Z ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.11/1.51 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 1.11/1.51 Y ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~(
% 1.11/1.51 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X
% 1.11/1.51 , U, 'tc_fun'( W, 'tc_bool' ) ), Z ) ) ) ],
% 1.11/1.51 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( hAPP( hAPP( T, X ), U ) ), ~(
% 1.11/1.51 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T
% 1.11/1.51 , Z, 'tc_fun'( W, 'tc_bool' ) ), U ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~(
% 1.11/1.51 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X
% 1.11/1.51 , U, 'tc_fun'( W, 'tc_bool' ) ), Z ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.11/1.51 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, hAPP( hAPP(
% 1.11/1.51 'c_COMBB'( T, 'tc_fun'( W, 'tc_bool' ), Z ), U ), X ), Z, 'tc_fun'( W,
% 1.11/1.51 'tc_bool' ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.11/1.51 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.11/1.51 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.11/1.51 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.11/1.51 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Z ), T ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.11/1.51 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'(
% 1.11/1.51 X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) ) ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), W ) ) ), ~(
% 1.11/1.51 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.11/1.51 , 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T, X,
% 1.11/1.51 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 1.11/1.51 U, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 1.11/1.51 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.51 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 1.11/1.51 'c_in'( X, Z, Y ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, Y, U, 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 1.11/1.51 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.11/1.51 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 1.11/1.51 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 1.11/1.51 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 1.11/1.51 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 1.11/1.51 , V4 ), W ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.11/1.51 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice'(
% 1.11/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.11/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_COMBC'( 'c_lessequals'( X
% 1.11/1.51 ), X, X, 'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X,
% 1.11/1.51 'tc_bool' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.11/1.51 , X ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.11/1.51 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 1.11/1.51 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.11/1.51 U, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 1.11/1.51 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 1.11/1.51 ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 1.11/1.51 Z, Y ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 1.11/1.51 Z, Y ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.11/1.51 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 1.11/1.51 ) ), Z ), T ) ), T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 1.11/1.51 , 'tc_bool' ) ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.11/1.51 ), U ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.11/1.51 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 1.11/1.51 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.11/1.51 ) ],
% 1.11/1.51 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.11/1.51 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 1.11/1.51 , 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.11/1.51 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 1.11/1.51 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 1.11/1.51 ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.11/1.51 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.11/1.51 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U,
% 1.11/1.51 'tc_bool' ) ), hAPP( T, Y ) ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, X, 'tc_fun'(
% 1.11/1.51 U, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.11/1.51 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.11/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( 'c_in'( Y
% 1.11/1.51 , Z, X ) ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.11/1.51 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.11/1.51 Z ), Y ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 1.11/1.51 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 1.11/1.51 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.11/1.51 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.11/1.51 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.11/1.51 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y )
% 1.11/1.51 ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'(
% 1.11/1.51 'c_Com_Obody'( T ), 'tc_Com_Ocom' ), U, Y ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 1.11/1.51 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.11/1.51 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 1.11/1.51 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.11/1.51 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 1.11/1.51 [ 'c_Fun_Oinj__on'( hAPP( 'c_COMBC'( 'c_Set_Oinsert'( X ), X, 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ) ) ],
% 1.11/1.51 [ =( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.11/1.51 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.11/1.51 'tc_bool' ), 't_a' ), 'c_and' ), X ) ), Y ), 'v_x', 't_a' ), hAPP( hAPP(
% 1.11/1.51 'c_and', 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y,
% 1.11/1.51 'v_x', 't_a' ) ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X,
% 1.11/1.51 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.11/1.51 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ), X ), X ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( 'c_Collect'( Z, X ), X ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X,
% 1.11/1.51 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.11/1.51 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ), X ), X ), ~(
% 1.11/1.51 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X ), X ) ) ],
% 1.11/1.51 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.11/1.51 'c_and' ), Y ) ), Z ), X ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , 'c_Collect'( Y, X ) ), 'c_Collect'( Z, X ) ) ) ],
% 1.11/1.51 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'( X ) ), hAPP( 'c_COMBC'( hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.11/1.51 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.11/1.51 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.11/1.51 X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Y ),
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.11/1.51 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, Y ), 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.11/1.51 , 'c_COMBB'( Y, 'tc_bool', X ) ), 'c_fequal'( Y ) ), Y, 'tc_fun'( X, Y )
% 1.11/1.51 , 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ), Y, 'tc_fun'( X, 'tc_bool' ),
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ), T ) ), Y ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.11/1.51 'c_Collect'( T, X ), X ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.11/1.51 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ) ) ) ) ) ],
% 1.11/1.51 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.11/1.51 ) ],
% 1.11/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.11/1.51 ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.51 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.11/1.51 , Y ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 1.11/1.51 ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 1.11/1.51 ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.11/1.51 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.11/1.51 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.11/1.51 ) ],
% 1.11/1.51 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ), T ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.11/1.51 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.11/1.51 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.11/1.51 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 1.11/1.51 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 1.11/1.51 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.11/1.51 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.11/1.51 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.11/1.51 ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.11/1.51 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.11/1.51 'c_in'( Y, Z, X ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.11/1.51 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.11/1.51 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.11/1.51 , Y ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBK'( Z, X
% 1.11/1.51 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.11/1.51 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 1.11/1.51 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.11/1.51 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( X, Y, Z, T ),
% 1.11/1.51 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, hAPP( 'c_COMBC'(
% 1.11/1.51 hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T
% 1.11/1.51 , 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( T ) ), X ), Z, 'tc_fun'( T,
% 1.11/1.51 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( T, 'tc_bool' ) ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.11/1.51 'c_and' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ) ),
% 1.11/1.51 Z ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.11/1.51 hBOOL( hAPP( Z, Y ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBK'(
% 1.11/1.51 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 1.11/1.51 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.11/1.51 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 1.11/1.51 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.11/1.51 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_bool' ), 'v_P' ), hAPP(
% 1.11/1.51 'c_and', hAPP( 'c_Not', 'v_P' ) ) ) ],
% 1.11/1.51 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 1.11/1.51 X, hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 1.11/1.51 , 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'(
% 1.11/1.51 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 1.11/1.51 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ),
% 1.11/1.51 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 1.11/1.51 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 1.11/1.51 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 1.11/1.51 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 1.11/1.51 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 1.11/1.51 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 1.11/1.51 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.11/1.51 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.11/1.51 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 1.11/1.51 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 1.11/1.51 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 1.11/1.51 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 1.11/1.51 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.11/1.51 'c_and' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ) ),
% 1.11/1.51 Z ), X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.11/1.51 hAPP( Z, Y ) ) ) ],
% 1.11/1.51 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.11/1.51 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.11/1.51 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_fun'( U, X ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X
% 1.11/1.51 ), Y ), 'c_Finite__Set_Osetsum'( U, X ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.11/1.51 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X )
% 1.11/1.51 ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.11/1.51 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), Y, 'tc_fun'( U, X )
% 1.11/1.51 , 'tc_fun'( U, X ) ), W ) ), Y, 'tc_fun'( U, 'tc_bool' ), X ), V0 ) ), T
% 1.11/1.51 ) ) ],
% 1.11/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.11/1.51 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.11/1.51 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), X ), Y ),
% 1.11/1.51 'c_Finite__Set_Osetsum'( Z, X ) ), T ), Y, 'tc_fun'( Z, 'tc_bool' ), X )
% 1.11/1.51 , U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP(
% 1.11/1.51 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y
% 1.11/1.51 , 'tc_bool' ), X ), Z ), 'c_Finite__Set_Osetsum'( Y, X ) ), 'c_COMBC'( T
% 1.11/1.51 , Y, Z, X ) ), Z, 'tc_fun'( Y, 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.11/1.51 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.11/1.51 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.11/1.51 'tc_bool' ) ) ) ],
% 1.11/1.51 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.11/1.51 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.11/1.51 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.11/1.51 ) ), Y, 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.11/1.51 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 1.11/1.51 'c_List_Ofilter'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ),
% 1.11/1.51 'c_and' ), Y ) ), X ), Z, T ) ) ],
% 1.11/1.51 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.11/1.51 'c_Collect'( 'c_COMBK'( 'c_False', 'tc_bool', X ), X ) ) ],
% 1.11/1.51 [ 'c_Wellfounded_OwfP'( 'c_COMBK'( 'c_COMBK'( 'c_False', 'tc_bool', X )
% 1.11/1.51 , 'tc_fun'( X, 'tc_bool' ), X ), X ) ],
% 1.11/1.51 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.11/1.51 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ), X ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.11/1.51 Z, Y ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 Y ), 'tc_bool' ) ) ), Y ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 1.11/1.51 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.11/1.51 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.11/1.51 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.11/1.51 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.11/1.51 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ), X ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 1.11/1.51 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.11/1.51 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.11/1.51 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.11/1.51 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 1.11/1.51 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.11/1.51 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.11/1.51 ) ), Y ) ) ) ],
% 1.11/1.51 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 1.11/1.51 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.11/1.51 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.11/1.51 hAPP( U, W ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.11/1.51 U ) ) ],
% 1.11/1.51 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.11/1.51 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.11/1.51 T, W ), hAPP( U, W ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.11/1.51 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.11/1.51 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.11/1.51 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.11/1.51 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.11/1.51 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.11/1.51 hBOOL( hAPP( Z, T ) ) ) ],
% 1.11/1.51 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 1.11/1.51 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.11/1.51 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( 'c_COMBK'( 'c_False',
% 1.11/1.51 'tc_bool', 'tc_Com_Ostate' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.11/1.51 't_a' ), 'v_c', hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.11/1.51 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.11/1.51 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 1.11/1.51 't_a' ), 'c_COMBS'( 'tc_Com_Ostate', 'tc_bool', 'tc_bool' ) ), hAPP( hAPP(
% 1.11/1.51 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.11/1.51 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP(
% 1.11/1.51 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' )
% 1.11/1.51 , 'c_and' ) ), 'v_P' ) ), 't_a', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 1.11/1.51 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.11/1.51 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), 'c_Not' ), 'v_b' ) ), 't_a' ) )
% 1.11/1.51 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.11/1.51 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.11/1.51 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.11/1.51 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Lattices_Olattice'( Y ) ) ],
% 1.11/1.51 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Lattices_Olattice'( Y ) ) ],
% 1.11/1.51 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.11/1.51 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.11/1.51 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.11/1.51 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.11/1.51 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Orderings_Opreorder'( Y ) ) ],
% 1.11/1.51 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Lattices_Olattice'( Y ) ) ],
% 1.11/1.51 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.11/1.51 'class_Orderings_Oorder'( Y ) ) ],
% 1.11/1.51 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.11/1.51 Y ) ) ],
% 1.11/1.51 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.11/1.51 Y ) ) ],
% 1.11/1.51 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.11/1.51 ,
% 1.11/1.51 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.11/1.51 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.11/1.51 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.11/1.51 T, W ), hAPP( U, W ) ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.11/1.51 U ) ) ],
% 1.11/1.51 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.11/1.51 hAPP( U, W ) ) ) ],
% 1.11/1.51 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.11/1.51 [ =( 'c_COMBI'( X, Y ), X ) ],
% 1.11/1.51 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.11/1.51 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.11/1.51 ] .
% 1.11/1.51
% 1.11/1.51
% 1.11/1.51 percentage equality = 0.314097, percentage horn = 0.900175
% 1.11/1.51 This is a problem with some equality
% 1.11/1.51
% 1.11/1.51
% 1.11/1.51
% 1.11/1.51 Options Used:
% 1.11/1.51
% 1.11/1.51 useres = 1
% 1.11/1.51 useparamod = 1
% 1.11/1.51 useeqrefl = 1
% 1.11/1.51 useeqfact = 1
% 1.11/1.51 usefactor = 1
% 1.11/1.51 usesimpsplitting = 0
% 1.11/1.51 usesimpdemod = 5
% 1.11/1.51 usesimpres = 3
% 1.11/1.51
% 1.11/1.51 resimpinuse = 1000
% 1.11/1.51 resimpclauses = 20000
% 1.11/1.51 substype = eqrewr
% 1.11/1.51 backwardsubs = 1
% 1.11/1.51 selectoldest = 5
% 1.11/1.51
% 1.11/1.51 litorderings [0] = split
% 1.11/1.51 litorderings [1] = extend the termordering, first sorting on arguments
% 1.11/1.51
% 1.11/1.51 termordering = kbo
% 1.11/1.51
% 1.11/1.51 litapriori = 0
% 1.11/1.51 termapriori = 1
% 1.11/1.51 litaposteriori = 0
% 1.11/1.51 termaposteriori = 0
% 1.11/1.51 demodaposteriori = 0
% 1.11/1.51 ordereqreflfact = 0
% 1.11/1.51
% 1.11/1.51 litselect = negord
% 1.11/1.51
% 1.11/1.51 maxweight = 15
% 1.11/1.51 maxdepth = 30000
% 1.11/1.51 maxlength = 115
% 1.11/1.51 maxnrvars = 195
% 1.11/1.51 excuselevel = 1
% 1.11/1.51 increasemaxweight = 1
% 1.11/1.51
% 1.11/1.51 maxselected = 10000000
% 1.11/1.51 maxnrclauses = 10000000
% 1.11/1.51
% 1.11/1.51 showgenerated = 0
% 1.11/1.51 showkept = 0
% 1.11/1.51 showselected = 0
% 1.11/1.51 showdeleted = 0
% 1.11/1.51 showresimp = 1
% 1.11/1.51 showstatus = 2000
% 1.11/1.51
% 1.11/1.51 prologoutput = 1
% 1.11/1.51 nrgoals = 5000000
% 1.11/1.51 totalproof = 1
% 1.11/1.51
% 1.11/1.51 Symbols occurring in the translation:
% 1.11/1.51
% 1.11/1.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.11/1.51 . [1, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.11/1.51 ! [4, 1] (w:0, o:102, a:1, s:1, b:0),
% 1.11/1.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.11/1.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.11/1.51 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:107, a:1
% 1.11/1.51 , s:1, b:0),
% 1.11/1.51 'c_HOL_Otimes__class_Otimes' [41, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.11/1.51 hAPP [43, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.11/1.51 'tc_bool' [47, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.11/1.51 'tc_fun' [48, 2] (w:1, o:174, a:1, s:1, b:0),
% 1.11/1.51 'c_Lattices_Oupper__semilattice__class_Osup' [49, 1] (w:1, o:109, a:1
% 1.11/1.51 , s:1, b:0),
% 1.11/1.51 'class_Lattices_Oupper__semilattice' [51, 1] (w:1, o:110, a:1, s:1
% 1.11/1.51 , b:0),
% 1.11/1.51 'class_Orderings_Opreorder' [52, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.11/1.51 'c_HOL_Oord__class_Oless' [53, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.11/1.51 hBOOL [55, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.11/1.51 'class_Orderings_Oorder' [56, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.11/1.51 'c_Set_Oinsert' [58, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.11/1.51 'c_Fun_Oinj__on' [60, 4] (w:1, o:204, a:1, s:1, b:0),
% 1.11/1.51 'c_HOL_Ominus__class_Ominus' [61, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.11/1.51 'c_Orderings_Obot__class_Obot' [62, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.11/1.51 'c_Set_Oimage' [63, 4] (w:1, o:205, a:1, s:1, b:0),
% 1.96/2.34 'c_in' [64, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.96/2.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [66, 4] (w:1
% 1.96/2.34 , o:206, a:1, s:1, b:0),
% 1.96/2.34 'c_Lattices_Olower__semilattice__class_Oinf' [69, 1] (w:1, o:118, a:1
% 1.96/2.34 , s:1, b:0),
% 1.96/2.34 'c_Collect' [70, 2] (w:1, o:175, a:1, s:1, b:0),
% 1.96/2.34 'class_Lattices_Odistrib__lattice' [71, 1] (w:1, o:119, a:1, s:1, b:0
% 1.96/2.34 ),
% 1.96/2.34 'c_Fun_Ocomp' [75, 5] (w:1, o:219, a:1, s:1, b:0),
% 1.96/2.34 'class_Lattices_Olattice' [76, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.96/2.34 't_a' [77, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.96/2.34 'v_x' [78, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.96/2.34 'c_Com_Ocom_OBODY' [80, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.96/2.34 'c_Com_Ocom_OSemi' [83, 2] (w:1, o:176, a:1, s:1, b:0),
% 1.96/2.34 'c_Orderings_Otop__class_Otop' [84, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.96/2.34 'c_Finite__Set_Ofinite' [85, 2] (w:1, o:177, a:1, s:1, b:0),
% 1.96/2.34 'c_COMBB' [86, 3] (w:1, o:193, a:1, s:1, b:0),
% 1.96/2.34 'c_Not' [87, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.96/2.34 'c_lessequals' [88, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.96/2.34 'c_Finite__Set_Ofold1' [89, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.96/2.34 'c_Finite__Set_Ofold1Set' [90, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.96/2.34 'c_The' [91, 2] (w:1, o:179, a:1, s:1, b:0),
% 1.96/2.34 'class_Complete__Lattice_Ocomplete__lattice' [92, 1] (w:1, o:125, a:1
% 1.96/2.34 , s:1, b:0),
% 1.96/2.34 'c_Complete__Lattice_Ocomplete__lattice' [103, 9] (w:1, o:222, a:1
% 1.96/2.34 , s:1, b:0),
% 1.96/2.34 'c_Com_Ocom_OWhile' [106, 2] (w:1, o:180, a:1, s:1, b:0),
% 1.96/2.34 'c_Com_Ocom_OSKIP' [107, 0] (w:1, o:62, a:1, s:1, b:0),
% 1.96/2.34 'class_Lattices_Olower__semilattice' [108, 1] (w:1, o:126, a:1, s:1
% 1.96/2.34 , b:0),
% 1.96/2.34 'c_Complete__Lattice_OInf__class_OInf' [112, 1] (w:1, o:127, a:1, s:1
% 1.96/2.34 , b:0),
% 1.96/2.34 'c_Complete__Lattice_OSup__class_OSup' [115, 1] (w:1, o:128, a:1, s:1
% 1.96/2.34 , b:0),
% 1.96/2.34 'class_Lattices_Obounded__lattice' [116, 1] (w:1, o:129, a:1, s:1, b:
% 1.96/2.34 0),
% 1.96/2.34 'c_Com_Ocom_OCond' [117, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.96/2.34 'class_OrderedGroup_Oab__group__add' [119, 1] (w:1, o:130, a:1, s:1
% 1.96/2.34 , b:0),
% 1.96/2.34 'c_Finite__Set_Osetsum' [120, 2] (w:1, o:181, a:1, s:1, b:0),
% 1.96/2.34 'class_Ring__and__Field_Oring' [121, 1] (w:1, o:131, a:1, s:1, b:0),
% 1.96/2.34
% 1.96/2.34 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [123, 4] (w:1
% 1.96/2.34 , o:207, a:1, s:1, b:0),
% 1.96/2.34 'c_COMBK' [124, 3] (w:1, o:197, a:1, s:1, b:0),
% 1.96/2.34 'c_fequal' [125, 1] (w:1, o:132, a:1, s:1, b:0),
% 1.96/2.34 'c_COMBC' [126, 4] (w:1, o:208, a:1, s:1, b:0),
% 1.96/2.34 'c_SetInterval_Oord__class_OatLeastAtMost' [130, 3] (w:1, o:198, a:1
% 1.96/2.34 , s:1, b:0),
% 1.96/2.34 'class_Orderings_Olinorder' [133, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.96/2.34 'c_Finite__Set_Olinorder__class_OMax' [136, 2] (w:1, o:182, a:1, s:1
% 1.96/2.34 , b:0),
% 1.96/2.34 'class_Ring__and__Field_Osemiring__0' [138, 1] (w:1, o:134, a:1, s:1
% 1.96/2.34 , b:0),
% 1.96/2.34 'class_HOL_Ominus' [140, 1] (w:1, o:135, a:1, s:1, b:0),
% 1.96/2.34 'class_OrderedGroup_Oab__semigroup__mult' [142, 1] (w:1, o:136, a:1
% 1.96/2.34 , s:1, b:0),
% 1.96/2.34 'c_List_Olistsp' [149, 3] (w:1, o:199, a:1, s:1, b:0),
% 1.96/2.34 'class_Orderings_Otop' [150, 1] (w:1, o:137, a:1, s:1, b:0),
% 1.96/2.34 'class_Ring__and__Field_Oordered__idom' [151, 1] (w:1, o:138, a:1, s:
% 1.96/2.34 1, b:0),
% 1.96/2.34 'c_Finite__Set_Olinorder__class_OMin' [153, 2] (w:1, o:183, a:1, s:1
% 1.96/2.34 , b:0),
% 1.96/2.34 'class_OrderedGroup_Oab__semigroup__idem__mult' [154, 1] (w:1, o:139
% 1.96/2.34 , a:1, s:1, b:0),
% 1.96/2.34 'class_Ring__and__Field_Oordered__ring__strict' [156, 1] (w:1, o:140
% 1.96/2.34 , a:1, s:1, b:0),
% 1.96/2.34 'class_Finite__Set_Ofinite_Ofinite' [157, 1] (w:1, o:141, a:1, s:1
% 1.96/2.34 , b:0),
% 1.96/2.34 'class_OrderedGroup_Ocomm__monoid__add' [158, 1] (w:1, o:142, a:1, s:
% 1.96/2.34 1, b:0),
% 1.96/2.34 'class_HOL_Oord' [160, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.96/2.34 'class_Orderings_Obot' [161, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.96/2.34 'c_COMBS' [162, 3] (w:1, o:200, a:1, s:1, b:0),
% 1.96/2.34 'c_Set_Ocontents' [164, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.96/2.34 'c_or' [165, 0] (w:1, o:79, a:1, s:1, b:0),
% 1.96/2.34 'class_OrderedGroup_Opordered__ab__group__add' [171, 1] (w:1, o:145
% 1.96/2.34 , a:1, s:1, b:0),
% 1.96/2.34 'tc_Hoare__Mirabelle_Otriple' [172, 1] (w:1, o:146, a:1, s:1, b:0),
% 11.90/12.24 'tc_Com_Ostate' [173, 0] (w:1, o:84, a:1, s:1, b:0),
% 11.90/12.24 'c_Hoare__Mirabelle_Opeek__and' [174, 3] (w:1, o:201, a:1, s:1, b:0)
% 11.90/12.24 ,
% 11.90/12.24 'c_Hoare__Mirabelle_Otriple_Otriple' [175, 4] (w:1, o:209, a:1, s:1
% 11.90/12.24 , b:0),
% 11.90/12.24 'c_Hoare__Mirabelle_Ohoare__derivs' [176, 3] (w:1, o:202, a:1, s:1
% 11.90/12.24 , b:0),
% 11.90/12.24 'c_Com_Obody' [178, 1] (w:1, o:121, a:1, s:1, b:0),
% 11.90/12.24 'tc_Com_Ocom' [179, 0] (w:1, o:86, a:1, s:1, b:0),
% 11.90/12.24 'c_Option_Othe' [180, 2] (w:1, o:185, a:1, s:1, b:0),
% 11.90/12.24 'c_and' [181, 0] (w:1, o:87, a:1, s:1, b:0),
% 11.90/12.24 'c_Ex' [182, 1] (w:1, o:147, a:1, s:1, b:0),
% 11.90/12.24 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [183, 2] (w:1, o:184, a:1
% 11.90/12.24 , s:1, b:0),
% 11.90/12.24 'v_P' [184, 0] (w:1, o:88, a:1, s:1, b:0),
% 11.90/12.24 't_b' [185, 0] (w:1, o:89, a:1, s:1, b:0),
% 11.90/12.24 'v_Q' [186, 0] (w:1, o:90, a:1, s:1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xescape__2' [187, 4] (w:1, o:211, a:1, s:1
% 11.90/12.24 , b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xescape__1' [188, 4] (w:1, o:210, a:1, s:1
% 11.90/12.24 , b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [190, 6] (w:1
% 11.90/12.24 , o:220, a:1, s:1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [191, 4] (w:1
% 11.90/12.24 , o:213, a:1, s:1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xconseq12__3' [194, 4] (w:1, o:216, a:1, s:
% 11.90/12.24 1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xconseq12__2' [195, 4] (w:1, o:215, a:1, s:
% 11.90/12.24 1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [196, 6] (w:
% 11.90/12.24 1, o:221, a:1, s:1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [197, 4] (w:
% 11.90/12.24 1, o:218, a:1, s:1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [198, 4] (w:
% 11.90/12.24 1, o:217, a:1, s:1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [199, 4] (w:1
% 11.90/12.24 , o:212, a:1, s:1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xconseq2__1' [200, 2] (w:1, o:188, a:1, s:1
% 11.90/12.24 , b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xconseq2__2' [201, 2] (w:1, o:189, a:1, s:1
% 11.90/12.24 , b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xconseq12__1' [202, 4] (w:1, o:214, a:1, s:
% 11.90/12.24 1, b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xconseq1__1' [203, 2] (w:1, o:186, a:1, s:1
% 11.90/12.24 , b:0),
% 11.90/12.24 'v_sko__Hoare__Mirabelle__Xconseq1__2' [204, 2] (w:1, o:187, a:1, s:1
% 11.90/12.24 , b:0),
% 11.90/12.24 'c_List_Ofilter' [206, 3] (w:1, o:203, a:1, s:1, b:0),
% 11.90/12.24 'c_False' [207, 0] (w:1, o:94, a:1, s:1, b:0),
% 11.90/12.24 'c_Wellfounded_OwfP' [208, 2] (w:1, o:190, a:1, s:1, b:0),
% 11.90/12.24 'v_G' [216, 0] (w:1, o:97, a:1, s:1, b:0),
% 11.90/12.24 'v_c' [217, 0] (w:1, o:99, a:1, s:1, b:0),
% 11.90/12.24 'v_b' [218, 0] (w:1, o:98, a:1, s:1, b:0),
% 11.90/12.24 'c_COMBI' [221, 2] (w:1, o:191, a:1, s:1, b:0).
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Starting Search:
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 4819
% 11.90/12.24 Kept: 2169
% 11.90/12.24 Inuse: 158
% 11.90/12.24 Deleted: 8
% 11.90/12.24 Deletedinuse: 0
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 11847
% 11.90/12.24 Kept: 4169
% 11.90/12.24 Inuse: 212
% 11.90/12.24 Deleted: 11
% 11.90/12.24 Deletedinuse: 0
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 19424
% 11.90/12.24 Kept: 6183
% 11.90/12.24 Inuse: 272
% 11.90/12.24 Deleted: 14
% 11.90/12.24 Deletedinuse: 0
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 30968
% 11.90/12.24 Kept: 8311
% 11.90/12.24 Inuse: 305
% 11.90/12.24 Deleted: 17
% 11.90/12.24 Deletedinuse: 1
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 40889
% 11.90/12.24 Kept: 10823
% 11.90/12.24 Inuse: 344
% 11.90/12.24 Deleted: 17
% 11.90/12.24 Deletedinuse: 1
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 52559
% 11.90/12.24 Kept: 13236
% 11.90/12.24 Inuse: 374
% 11.90/12.24 Deleted: 18
% 11.90/12.24 Deletedinuse: 1
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 65456
% 11.90/12.24 Kept: 15266
% 11.90/12.24 Inuse: 431
% 11.90/12.24 Deleted: 22
% 11.90/12.24 Deletedinuse: 1
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 74279
% 11.90/12.24 Kept: 17275
% 11.90/12.24 Inuse: 458
% 11.90/12.24 Deleted: 23
% 11.90/12.24 Deletedinuse: 2
% 11.90/12.24
% 11.90/12.24 Resimplifying inuse:
% 11.90/12.24 Done
% 11.90/12.24
% 11.90/12.24
% 11.90/12.24 Intermediate Status:
% 11.90/12.24 Generated: 85988
% 11.90/12.24 Kept: 19796
% 11.90/12.24 Inuse: 484
% 11.90/12.24 Deleted: 24
% 11.90/12.24 Deletedinuse: 2
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying clauses:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 100637
% 29.78/30.15 Kept: 21811
% 29.78/30.15 Inuse: 529
% 29.78/30.15 Deleted: 246
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 113780
% 29.78/30.15 Kept: 25020
% 29.78/30.15 Inuse: 535
% 29.78/30.15 Deleted: 246
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 125059
% 29.78/30.15 Kept: 27111
% 29.78/30.15 Inuse: 579
% 29.78/30.15 Deleted: 246
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 138609
% 29.78/30.15 Kept: 29180
% 29.78/30.15 Inuse: 638
% 29.78/30.15 Deleted: 247
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 148185
% 29.78/30.15 Kept: 31184
% 29.78/30.15 Inuse: 672
% 29.78/30.15 Deleted: 247
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 160515
% 29.78/30.15 Kept: 33355
% 29.78/30.15 Inuse: 703
% 29.78/30.15 Deleted: 247
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 172067
% 29.78/30.15 Kept: 35367
% 29.78/30.15 Inuse: 728
% 29.78/30.15 Deleted: 247
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 186200
% 29.78/30.15 Kept: 37367
% 29.78/30.15 Inuse: 769
% 29.78/30.15 Deleted: 247
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 206688
% 29.78/30.15 Kept: 39536
% 29.78/30.15 Inuse: 783
% 29.78/30.15 Deleted: 247
% 29.78/30.15 Deletedinuse: 5
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying clauses:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 224609
% 29.78/30.15 Kept: 42090
% 29.78/30.15 Inuse: 818
% 29.78/30.15 Deleted: 317
% 29.78/30.15 Deletedinuse: 6
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 234043
% 29.78/30.15 Kept: 45124
% 29.78/30.15 Inuse: 824
% 29.78/30.15 Deleted: 317
% 29.78/30.15 Deletedinuse: 6
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 243589
% 29.78/30.15 Kept: 47362
% 29.78/30.15 Inuse: 838
% 29.78/30.15 Deleted: 317
% 29.78/30.15 Deletedinuse: 6
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 258609
% 29.78/30.15 Kept: 49508
% 29.78/30.15 Inuse: 870
% 29.78/30.15 Deleted: 336
% 29.78/30.15 Deletedinuse: 7
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 278089
% 29.78/30.15 Kept: 52516
% 29.78/30.15 Inuse: 884
% 29.78/30.15 Deleted: 347
% 29.78/30.15 Deletedinuse: 7
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 302484
% 29.78/30.15 Kept: 55494
% 29.78/30.15 Inuse: 894
% 29.78/30.15 Deleted: 348
% 29.78/30.15 Deletedinuse: 8
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 317391
% 29.78/30.15 Kept: 57522
% 29.78/30.15 Inuse: 907
% 29.78/30.15 Deleted: 348
% 29.78/30.15 Deletedinuse: 8
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 327458
% 29.78/30.15 Kept: 59581
% 29.78/30.15 Inuse: 934
% 29.78/30.15 Deleted: 349
% 29.78/30.15 Deletedinuse: 9
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying clauses:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 343890
% 29.78/30.15 Kept: 62180
% 29.78/30.15 Inuse: 963
% 29.78/30.15 Deleted: 682
% 29.78/30.15 Deletedinuse: 9
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 356284
% 29.78/30.15 Kept: 64191
% 29.78/30.15 Inuse: 994
% 29.78/30.15 Deleted: 682
% 29.78/30.15 Deletedinuse: 9
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 369395
% 29.78/30.15 Kept: 66243
% 29.78/30.15 Inuse: 1017
% 29.78/30.15 Deleted: 683
% 29.78/30.15 Deletedinuse: 9
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 382352
% 29.78/30.15 Kept: 68275
% 29.78/30.15 Inuse: 1049
% 29.78/30.15 Deleted: 684
% 29.78/30.15 Deletedinuse: 9
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 409414
% 29.78/30.15 Kept: 70906
% 29.78/30.15 Inuse: 1061
% 29.78/30.15 Deleted: 684
% 29.78/30.15 Deletedinuse: 9
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 424944
% 29.78/30.15 Kept: 73088
% 29.78/30.15 Inuse: 1096
% 29.78/30.15 Deleted: 684
% 29.78/30.15 Deletedinuse: 9
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15
% 29.78/30.15 Intermediate Status:
% 29.78/30.15 Generated: 437989
% 29.78/30.15 Kept: 75434
% 29.78/30.15 Inuse: 1120
% 29.78/30.15 Deleted: 685
% 29.78/30.15 Deletedinuse: 9
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 29.78/30.15 Done
% 29.78/30.15
% 29.78/30.15 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 449650
% 88.54/88.90 Kept: 77489
% 88.54/88.90 Inuse: 1155
% 88.54/88.90 Deleted: 685
% 88.54/88.90 Deletedinuse: 9
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 461015
% 88.54/88.90 Kept: 79566
% 88.54/88.90 Inuse: 1185
% 88.54/88.90 Deleted: 685
% 88.54/88.90 Deletedinuse: 9
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying clauses:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 479095
% 88.54/88.90 Kept: 82620
% 88.54/88.90 Inuse: 1220
% 88.54/88.90 Deleted: 1258
% 88.54/88.90 Deletedinuse: 13
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 485658
% 88.54/88.90 Kept: 84834
% 88.54/88.90 Inuse: 1221
% 88.54/88.90 Deleted: 1258
% 88.54/88.90 Deletedinuse: 13
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 494643
% 88.54/88.90 Kept: 86876
% 88.54/88.90 Inuse: 1229
% 88.54/88.90 Deleted: 1258
% 88.54/88.90 Deletedinuse: 13
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 510657
% 88.54/88.90 Kept: 90381
% 88.54/88.90 Inuse: 1235
% 88.54/88.90 Deleted: 1258
% 88.54/88.90 Deletedinuse: 13
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 519884
% 88.54/88.90 Kept: 92835
% 88.54/88.90 Inuse: 1240
% 88.54/88.90 Deleted: 1258
% 88.54/88.90 Deletedinuse: 13
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 534324
% 88.54/88.90 Kept: 94897
% 88.54/88.90 Inuse: 1260
% 88.54/88.90 Deleted: 1258
% 88.54/88.90 Deletedinuse: 13
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 553765
% 88.54/88.90 Kept: 97899
% 88.54/88.90 Inuse: 1295
% 88.54/88.90 Deleted: 1258
% 88.54/88.90 Deletedinuse: 13
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 566310
% 88.54/88.90 Kept: 99905
% 88.54/88.90 Inuse: 1306
% 88.54/88.90 Deleted: 1259
% 88.54/88.90 Deletedinuse: 14
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying clauses:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 578100
% 88.54/88.90 Kept: 103397
% 88.54/88.90 Inuse: 1325
% 88.54/88.90 Deleted: 1409
% 88.54/88.90 Deletedinuse: 18
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 596994
% 88.54/88.90 Kept: 108915
% 88.54/88.90 Inuse: 1335
% 88.54/88.90 Deleted: 1515
% 88.54/88.90 Deletedinuse: 124
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 605280
% 88.54/88.90 Kept: 111444
% 88.54/88.90 Inuse: 1343
% 88.54/88.90 Deleted: 1515
% 88.54/88.90 Deletedinuse: 124
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 613412
% 88.54/88.90 Kept: 113473
% 88.54/88.90 Inuse: 1365
% 88.54/88.90 Deleted: 1515
% 88.54/88.90 Deletedinuse: 124
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 636112
% 88.54/88.90 Kept: 116327
% 88.54/88.90 Inuse: 1380
% 88.54/88.90 Deleted: 1515
% 88.54/88.90 Deletedinuse: 124
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 647760
% 88.54/88.90 Kept: 118745
% 88.54/88.90 Inuse: 1405
% 88.54/88.90 Deleted: 1516
% 88.54/88.90 Deletedinuse: 125
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 655657
% 88.54/88.90 Kept: 120799
% 88.54/88.90 Inuse: 1425
% 88.54/88.90 Deleted: 1517
% 88.54/88.90 Deletedinuse: 126
% 88.54/88.90
% 88.54/88.90 Resimplifying clauses:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 668372
% 88.54/88.90 Kept: 122816
% 88.54/88.90 Inuse: 1445
% 88.54/88.90 Deleted: 6047
% 88.54/88.90 Deletedinuse: 128
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 683929
% 88.54/88.90 Kept: 125609
% 88.54/88.90 Inuse: 1460
% 88.54/88.90 Deleted: 6047
% 88.54/88.90 Deletedinuse: 128
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 697054
% 88.54/88.90 Kept: 127747
% 88.54/88.90 Inuse: 1475
% 88.54/88.90 Deleted: 6047
% 88.54/88.90 Deletedinuse: 128
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 710305
% 88.54/88.90 Kept: 130205
% 88.54/88.90 Inuse: 1500
% 88.54/88.90 Deleted: 6047
% 88.54/88.90 Deletedinuse: 128
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 716912
% 88.54/88.90 Kept: 132368
% 88.54/88.90 Inuse: 1513
% 88.54/88.90 Deleted: 6047
% 88.54/88.90 Deletedinuse: 128
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 726127
% 88.54/88.90 Kept: 134408
% 88.54/88.90 Inuse: 1530
% 88.54/88.90 Deleted: 6047
% 88.54/88.90 Deletedinuse: 128
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90
% 88.54/88.90 Intermediate Status:
% 88.54/88.90 Generated: 738949
% 88.54/88.90 Kept: 136687
% 88.54/88.90 Inuse: 1550
% 88.54/88.90 Deleted: 6047
% 88.54/88.90 Deletedinuse: 128
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 88.54/88.90 Done
% 88.54/88.90
% 88.54/88.90 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 755134
% 241.02/241.47 Kept: 139169
% 241.02/241.47 Inuse: 1565
% 241.02/241.47 Deleted: 6047
% 241.02/241.47 Deletedinuse: 128
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 766046
% 241.02/241.47 Kept: 141309
% 241.02/241.47 Inuse: 1575
% 241.02/241.47 Deleted: 6047
% 241.02/241.47 Deletedinuse: 128
% 241.02/241.47
% 241.02/241.47 Resimplifying clauses:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 779696
% 241.02/241.47 Kept: 144086
% 241.02/241.47 Inuse: 1600
% 241.02/241.47 Deleted: 6365
% 241.02/241.47 Deletedinuse: 128
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 792121
% 241.02/241.47 Kept: 146652
% 241.02/241.47 Inuse: 1619
% 241.02/241.47 Deleted: 6367
% 241.02/241.47 Deletedinuse: 129
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 813197
% 241.02/241.47 Kept: 151470
% 241.02/241.47 Inuse: 1629
% 241.02/241.47 Deleted: 6367
% 241.02/241.47 Deletedinuse: 129
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 833132
% 241.02/241.47 Kept: 156126
% 241.02/241.47 Inuse: 1634
% 241.02/241.47 Deleted: 6367
% 241.02/241.47 Deletedinuse: 129
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 843534
% 241.02/241.47 Kept: 158128
% 241.02/241.47 Inuse: 1657
% 241.02/241.47 Deleted: 6367
% 241.02/241.47 Deletedinuse: 129
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 863781
% 241.02/241.47 Kept: 160411
% 241.02/241.47 Inuse: 1699
% 241.02/241.47 Deleted: 6367
% 241.02/241.47 Deletedinuse: 129
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying clauses:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 907389
% 241.02/241.47 Kept: 162424
% 241.02/241.47 Inuse: 1736
% 241.02/241.47 Deleted: 6527
% 241.02/241.47 Deletedinuse: 132
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 929262
% 241.02/241.47 Kept: 165609
% 241.02/241.47 Inuse: 1746
% 241.02/241.47 Deleted: 6532
% 241.02/241.47 Deletedinuse: 132
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 946200
% 241.02/241.47 Kept: 168400
% 241.02/241.47 Inuse: 1761
% 241.02/241.47 Deleted: 6533
% 241.02/241.47 Deletedinuse: 133
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47
% 241.02/241.47 Intermediate Status:
% 241.02/241.47 Generated: 963380
% 241.02/241.47 Kept: 171420
% 241.02/241.47 Inuse: 1771
% 241.02/241.47 Deleted: 6533
% 241.02/241.47 Deletedinuse: 133
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.47 Done
% 241.02/241.47
% 241.02/241.47 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 997849
% 241.02/241.48 Kept: 175787
% 241.02/241.48 Inuse: 1801
% 241.02/241.48 Deleted: 6533
% 241.02/241.48 Deletedinuse: 133
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1019661
% 241.02/241.48 Kept: 178331
% 241.02/241.48 Inuse: 1806
% 241.02/241.48 Deleted: 6533
% 241.02/241.48 Deletedinuse: 133
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1041557
% 241.02/241.48 Kept: 180843
% 241.02/241.48 Inuse: 1811
% 241.02/241.48 Deleted: 6533
% 241.02/241.48 Deletedinuse: 133
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1065144
% 241.02/241.48 Kept: 186128
% 241.02/241.48 Inuse: 1816
% 241.02/241.48 Deleted: 6533
% 241.02/241.48 Deletedinuse: 133
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying clauses:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1087043
% 241.02/241.48 Kept: 189421
% 241.02/241.48 Inuse: 1817
% 241.02/241.48 Deleted: 6677
% 241.02/241.48 Deletedinuse: 137
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1096019
% 241.02/241.48 Kept: 191917
% 241.02/241.48 Inuse: 1841
% 241.02/241.48 Deleted: 7028
% 241.02/241.48 Deletedinuse: 488
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1163909
% 241.02/241.48 Kept: 194039
% 241.02/241.48 Inuse: 1892
% 241.02/241.48 Deleted: 7049
% 241.02/241.48 Deletedinuse: 509
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1204499
% 241.02/241.48 Kept: 196245
% 241.02/241.48 Inuse: 1968
% 241.02/241.48 Deleted: 7087
% 241.02/241.48 Deletedinuse: 533
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1264183
% 241.02/241.48 Kept: 198256
% 241.02/241.48 Inuse: 2054
% 241.02/241.48 Deleted: 7088
% 241.02/241.48 Deletedinuse: 533
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1371570
% 241.02/241.48 Kept: 200265
% 241.02/241.48 Inuse: 2184
% 241.02/241.48 Deleted: 7089
% 241.02/241.48 Deletedinuse: 533
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1433791
% 241.02/241.48 Kept: 202265
% 241.02/241.48 Inuse: 2281
% 241.02/241.48 Deleted: 7152
% 241.02/241.48 Deletedinuse: 557
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48
% 241.02/241.48 Intermediate Status:
% 241.02/241.48 Generated: 1557736
% 241.02/241.48 Kept: 204268
% 241.02/241.48 Inuse: 2424
% 241.02/241.48 Deleted: 7284
% 241.02/241.48 Deletedinuse: 565
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 241.02/241.48 Resimplifying inuse:
% 241.02/241.48 Done
% 241.02/241.48
% 300.03/300.49 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------