%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV855-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 16:28:51 EDT 2022
% Result : Timeout 286.79s 287.15s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV855-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Wed Jun 15 02:18:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.82/1.22 *** allocated 10000 integers for termspace/termends
% 0.82/1.22 *** allocated 10000 integers for clauses
% 0.82/1.22 *** allocated 10000 integers for justifications
% 0.82/1.22 *** allocated 15000 integers for termspace/termends
% 0.82/1.22 Bliksem 1.12
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22 Automatic Strategy Selection
% 0.82/1.22
% 0.82/1.22 Clauses:
% 0.82/1.22 [
% 0.82/1.22 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.82/1.22 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 0.82/1.22 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.82/1.22 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.82/1.22 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X,
% 0.82/1.22 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 0.82/1.22 W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.82/1.22 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Y, U ) ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.82/1.22 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.82/1.22 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.82/1.22 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.82/1.22 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 0.82/1.22 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.82/1.22 X, T ), Y ) ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.82/1.22 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.82/1.22 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), X ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.82/1.22 T ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.82/1.22 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.82/1.22 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.82/1.22 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.82/1.22 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.82/1.22 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.22 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.82/1.22 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.82/1.22 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.82/1.22 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( X, Y ), ~( 'c_Finite__Set_Ofold1Set'( Z, 'c_Set_Oinsert'( X,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), Y, T ) )
% 0.82/1.22 ],
% 0.82/1.22 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.82/1.22 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.82/1.22 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z, T ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.82/1.22 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.82/1.22 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), Y ), T ), X ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), Z ), T ), X ) ) ],
% 0.82/1.22 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( X, W ) ),
% 0.82/1.22 hBOOL( 'c_in'( W, Z, T ) ) ],
% 0.82/1.22 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.82/1.22 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.82/1.22 , Z, T, X, X ), X ), ~( hBOOL( 'c_in'( Y, T, X ) ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.82/1.22 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.82/1.22 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.82/1.22 , Z, V2, Y ) ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.82/1.22 , V2, Z, Y ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.82/1.22 hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, Z, U,
% 0.82/1.22 T, T ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.82/1.22 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.82/1.22 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.82/1.22 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.82/1.22 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.82/1.22 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.82/1.22 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.82/1.22 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.82/1.22 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.82/1.22 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.82/1.22 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.82/1.22 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.82/1.22 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.82/1.22 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.82/1.22 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.82/1.22 , U ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.82/1.22 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.82/1.22 , X, U, Y, W ) ) ],
% 0.82/1.22 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.82/1.22 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.82/1.22 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.82/1.22 [ =( 'c_Relation_OImage'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Relation_OImage'( X, Z, Y, U ) ), 'c_Relation_OImage'( X, T, Y, U )
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'(
% 0.82/1.22 hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~(
% 0.82/1.22 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.82/1.22 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.82/1.22 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 0.82/1.22 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 0.82/1.22 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), U, X ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.82/1.22 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.82/1.22 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.82/1.22 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), U, X ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.82/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.82/1.22 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.22 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.82/1.22 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.82/1.22 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.82/1.22 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.82/1.22 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.82/1.22 ],
% 0.82/1.22 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.82/1.22 'c_Complete__Lattice_OSup__class_OSup'( Y, X ), 'c_Finite__Set_Ofold'(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ), Y, X, X ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.22 , T, X ) ) ), =( Y, Z ) ],
% 0.82/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.22 , T, X ) ) ), =( Z, T ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.82/1.22 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.82/1.22 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), T ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , T ), Y ), Z ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , Y ), T ), Z ) ) ) ],
% 0.82/1.22 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.82/1.22 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.82/1.22 U, W ) ) ],
% 0.82/1.22 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.82/1.22 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.82/1.22 =( Y, Z ) ],
% 0.82/1.22 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.82/1.22 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.82/1.22 =( Y, Z ) ],
% 0.82/1.22 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.82/1.22 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.82/1.22 , U ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.82/1.22 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Relation_OImage'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Relation_OImage'( X, Z, Y, U ) ), 'c_Relation_OImage'( X, T, Y, U )
% 0.82/1.22 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.82/1.22 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Y ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 0.82/1.22 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.82/1.22 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( Y, W ) ),
% 0.82/1.22 ~( hBOOL( 'c_in'( W, Z, T ) ) ) ],
% 0.82/1.22 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.82/1.22 Y, Z ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.82/1.22 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.82/1.22 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), T ) ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.82/1.22 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.82/1.22 , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.82/1.22 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.82/1.22 hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.82/1.22 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.82/1.22 T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.82/1.22 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.82/1.22 , Y, 'c_Set_Oinsert'( Z, T, X ), X, X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ),
% 0.82/1.22 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.82/1.22 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.82/1.22 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.82/1.22 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.82/1.22 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.22 ) ) ), Y ), Y ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), Y ) ],
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.82/1.22 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.82/1.22 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.82/1.22 , X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.22 , Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.22 , Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.82/1.22 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.82/1.22 ), Y ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.82/1.22 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.82/1.22 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.82/1.22 , Y, 'c_Set_Oinsert'( Z, T, X ), X, X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ),
% 0.82/1.22 'c_Finite__Set_Ofold'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.82/1.22 , Y, T, X, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.82/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.82/1.22 ), =( Z, Y ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ) ],
% 0.82/1.22 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.82/1.22 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.82/1.22 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.82/1.22 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.82/1.22 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.82/1.22 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.82/1.22 ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.82/1.22 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.82/1.22 'c_lessequals'( Z, Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.82/1.22 'c_lessequals'( Y, Z, X ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.82/1.22 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.82/1.22 hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'(
% 0.82/1.22 T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.82/1.22 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.82/1.22 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.82/1.22 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.82/1.22 , U, V3, V4, T ) ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.82/1.22 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.82/1.22 V2, V3, V4, T ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y, Z ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.82/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.82/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.82/1.22 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.82/1.22 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.82/1.22 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.82/1.22 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.82/1.22 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.82/1.22 ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.82/1.22 ],
% 0.82/1.22 [ 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.82/1.22 [ 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.82/1.22 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.82/1.22 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.82/1.22 'c_lessequals'( Y, Z, X ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.82/1.22 'c_lessequals'( Z, Y, X ) ) ],
% 0.82/1.22 [ 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.82/1.22 [ 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.82/1.22 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.82/1.22 X ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.82/1.22 X ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.82/1.22 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.82/1.22 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), Y ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.82/1.22 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.82/1.22 Y, Z ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.82/1.22 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.82/1.22 ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.82/1.22 ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.82/1.22 , T ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.82/1.22 , T ) ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.82/1.22 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.82/1.22 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T, U ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.82/1.22 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.82/1.22 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.82/1.22 'c_in'( Y, X, T ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.82/1.22 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.82/1.22 'c_in'( Y, X, T ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.82/1.22 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.82/1.22 T, X, Z ) ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.82/1.22 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.82/1.22 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.82/1.22 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.82/1.22 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.82/1.22 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.82/1.22 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.82/1.22 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.82/1.22 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.82/1.22 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.82/1.22 'c_Finite__Set_Ofold'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.82/1.22 , Y, Z, X, X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 X ), T ), Y ), X ), ~( hBOOL( 'c_in'( T, Z, X ) ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.82/1.22 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.82/1.22 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.82/1.22 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.82/1.22 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.82/1.22 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.82/1.22 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.82/1.22 , V3, V4, U ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.82/1.22 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.82/1.22 , V3, V4, U ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.82/1.22 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.82/1.22 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), Y ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z ) ), Y ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.82/1.22 Y, X ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.82/1.22 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.82/1.22 U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.82/1.22 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.82/1.22 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), X ), X ), X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.82/1.22 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.82/1.22 T, 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.82/1.22 'c_Set_Oinsert'( Y, Z, T ), T, U ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.82/1.22 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.82/1.22 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.82/1.22 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.82/1.22 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.82/1.22 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 0.82/1.22 'c_in'( T, Z, W ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.82/1.22 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.82/1.22 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , T ), X ), Y ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , X ), T ), Y ) ) ) ],
% 0.82/1.22 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.82/1.22 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.82/1.22 , Z ) ) ],
% 0.82/1.22 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , U ), Y ), Z, T ) ) ],
% 0.82/1.22 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , Y ), U ), Z, T ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 0.82/1.22 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.82/1.22 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.82/1.22 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.82/1.22 , Z ) ) ],
% 0.82/1.22 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.82/1.22 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.82/1.22 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.82/1.22 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.82/1.22 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.82/1.22 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.82/1.22 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, 't_a' ), ~( 'c_Wellfounded_Omax__extp'( Y
% 0.82/1.22 , Z, X, 't_a' ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, 't_a' ), ~( 'c_Wellfounded_Omax__extp'( Y
% 0.82/1.22 , X, Z, 't_a' ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.22 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.82/1.22 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.82/1.22 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.82/1.22 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.82/1.22 'c_in'( X, T, Z ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), 'c_Finite__Set_Ofold'( X, Y, T
% 0.82/1.22 , U, U ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 0.82/1.22 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, V0, V1, V2, X, V3, V4, U
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), 'c_Finite__Set_Ofold'( X, Y, T
% 0.82/1.22 , U, U ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 0.82/1.22 'c_Complete__Lattice_Ocomplete__lattice'( Z, W, V0, V1, X, V2, V3, V4, U
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ =( hAPP( X, Y ), 'c_Finite__Set_Ofold'( Z, T, Y, U, U ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Y, U ) ), ~(
% 0.82/1.22 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, Z, T, V3, U )
% 0.82/1.22 ) ],
% 0.82/1.22 [ =( hAPP( X, Y ), 'c_Finite__Set_Ofold'( Z, T, Y, U, U ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Y, U ) ), ~(
% 0.82/1.22 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, Z, V2, V3, T, U )
% 0.82/1.22 ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.82/1.22 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.82/1.22 , 'tc_bool' ) ), Z ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.82/1.22 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), T ) ) ],
% 0.82/1.22 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.82/1.22 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.82/1.22 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.82/1.22 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ), 'c_Finite__Set_Ofold'(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y, Z, X, X ) ), ~(
% 0.82/1.22 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.82/1.22 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.82/1.22 'c_in'( X, Y, Z ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.82/1.22 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.82/1.22 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.82/1.22 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.82/1.22 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.82/1.22 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.82/1.22 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.82/1.22 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.82/1.22 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.82/1.22 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.82/1.22 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.82/1.22 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.82/1.22 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.82/1.22 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.82/1.22 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.82/1.22 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.82/1.22 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.82/1.22 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.82/1.22 , X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.82/1.22 , X ) ) ],
% 0.82/1.22 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.82/1.22 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.82/1.22 ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.82/1.22 X, Z, T ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.82/1.22 X, Z, T ) ) ) ],
% 0.82/1.22 [ 'c_lessequals'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.82/1.22 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.82/1.22 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.22 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.82/1.22 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.82/1.22 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.82/1.22 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.82/1.22 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.82/1.22 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.82/1.22 ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.82/1.22 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.82/1.22 ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.82/1.22 'c_in'( X, Z, Y ) ) ) ],
% 0.82/1.22 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.82/1.22 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.82/1.22 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.82/1.22 Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( T, 'tc_bool' ) ), T ), U, T ) ), 'c_Set_Ovimage'( X, Z, U, T )
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.82/1.22 X, T, U ), Z ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.82/1.22 hAPP( X, U ) ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.82/1.22 Z, Y ) ) ) ],
% 0.82/1.22 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.82/1.22 Z, Y ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.82/1.22 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.82/1.22 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.82/1.22 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.82/1.22 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.22 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.22 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.22 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.22 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.82/1.22 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.82/1.22 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.82/1.22 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.82/1.22 'tc_bool' ) ) ],
% 0.82/1.22 [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), 'c_Set_Oinsert'( X,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.82/1.22 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.82/1.22 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.82/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.82/1.22 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.82/1.22 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.22 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.82/1.22 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.82/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.22 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 0.82/1.22 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.82/1.22 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.82/1.22 Y, Z, X ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.22 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.82/1.22 'c_lessequals'( Z, Y, X ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.22 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.22 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.82/1.22 , V2, Z, Y ) ) ],
% 0.82/1.22 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.82/1.22 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.82/1.22 , Z, V2, Y ) ) ],
% 0.82/1.22 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.82/1.22 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.82/1.22 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), Y, X ) ],
% 0.82/1.22 [ =( 'c_Finite__Set_Ofold__image'( X, Y, Z,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), U, T ), Z ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Y ) ) ) ],
% 0.82/1.22 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Y ) ) ) ],
% 0.82/1.22 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Y ) ) ) ],
% 0.82/1.22 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.82/1.22 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.82/1.22 [ =( 'c_Finite__Set_Ofold'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), Y ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.22 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.82/1.22 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.82/1.22 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.82/1.22 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.82/1.22 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.82/1.22 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.82/1.22 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.82/1.22 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.82/1.22 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.82/1.22 [ ~( 'c_Wellfounded_Omax__extp'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.82/1.22 [ ~( 'c_Finite__Set_Ofold1Set'( X, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Y, 'tc_bool' ) ), Z, Y ) ) ],
% 0.82/1.22 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.82/1.22 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.22 ) ), Y ) ) ) ],
% 0.82/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), Y ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.22 ) ) ), Y ), Y ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.82/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.82/1.22 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.82/1.22 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ), X ) ],
% 0.82/1.22 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.82/1.22 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.22 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.22 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.82/1.22 ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.82/1.22 ) ) ],
% 0.82/1.22 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.82/1.22 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.82/1.22 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.22 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.82/1.22 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.82/1.22 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.82/1.22 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.82/1.22 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.82/1.22 'tc_bool' ) ) ) ],
% 0.82/1.22 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.82/1.22 'tc_bool' ) ), Y, Z ) ],
% 0.82/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.82/1.22 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.82/1.22 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.82/1.22 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.82/1.22 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.82/1.22 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.82/1.22 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.82/1.22 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.82/1.22 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.82/1.22 ) ), Z, X ) ) ],
% 0.82/1.22 [ =( 'c_Fun_Ooverride__on'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.82/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), X ) ],
% 0.82/1.22 [ ~( 'c_Hoare__Mirabelle_Ohoare__valids'( 'v_Ga',
% 0.82/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.82/1.22 't_a' ), 'tc_bool' ) ), 't_a' ) ) ],
% 0.82/1.22 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.82/1.22 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Lattices_Olattice'( Y ) ) ],
% 0.82/1.22 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Lattices_Olattice'( Y ) ) ],
% 0.82/1.22 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.82/1.22 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.82/1.22 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.82/1.22 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.82/1.22 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Orderings_Opreorder'( Y ) ) ],
% 0.82/1.22 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Lattices_Olattice'( Y ) ) ],
% 0.82/1.22 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.82/1.22 'class_Orderings_Oorder'( Y ) ) ],
% 0.82/1.22 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.82/1.22 Y ) ) ],
% 0.82/1.22 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.82/1.22 Y ) ) ],
% 0.82/1.22 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.82/1.22 ,
% 0.82/1.22 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.82/1.22 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.82/1.22 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.82/1.22 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.82/1.22 ] .
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22 percentage equality = 0.251592, percentage horn = 0.917620
% 0.82/1.22 This is a problem with some equality
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22 Options Used:
% 0.82/1.22
% 0.82/1.22 useres = 1
% 0.82/1.22 useparamod = 1
% 0.82/1.22 useeqrefl = 1
% 0.82/1.22 useeqfact = 1
% 3.90/4.27 usefactor = 1
% 3.90/4.27 usesimpsplitting = 0
% 3.90/4.27 usesimpdemod = 5
% 3.90/4.27 usesimpres = 3
% 3.90/4.27
% 3.90/4.27 resimpinuse = 1000
% 3.90/4.27 resimpclauses = 20000
% 3.90/4.27 substype = eqrewr
% 3.90/4.27 backwardsubs = 1
% 3.90/4.27 selectoldest = 5
% 3.90/4.27
% 3.90/4.27 litorderings [0] = split
% 3.90/4.27 litorderings [1] = extend the termordering, first sorting on arguments
% 3.90/4.27
% 3.90/4.27 termordering = kbo
% 3.90/4.27
% 3.90/4.27 litapriori = 0
% 3.90/4.27 termapriori = 1
% 3.90/4.27 litaposteriori = 0
% 3.90/4.27 termaposteriori = 0
% 3.90/4.27 demodaposteriori = 0
% 3.90/4.27 ordereqreflfact = 0
% 3.90/4.27
% 3.90/4.27 litselect = negord
% 3.90/4.27
% 3.90/4.27 maxweight = 15
% 3.90/4.27 maxdepth = 30000
% 3.90/4.27 maxlength = 115
% 3.90/4.27 maxnrvars = 195
% 3.90/4.27 excuselevel = 1
% 3.90/4.27 increasemaxweight = 1
% 3.90/4.27
% 3.90/4.27 maxselected = 10000000
% 3.90/4.27 maxnrclauses = 10000000
% 3.90/4.27
% 3.90/4.27 showgenerated = 0
% 3.90/4.27 showkept = 0
% 3.90/4.27 showselected = 0
% 3.90/4.27 showdeleted = 0
% 3.90/4.27 showresimp = 1
% 3.90/4.27 showstatus = 2000
% 3.90/4.27
% 3.90/4.27 prologoutput = 1
% 3.90/4.27 nrgoals = 5000000
% 3.90/4.27 totalproof = 1
% 3.90/4.27
% 3.90/4.27 Symbols occurring in the translation:
% 3.90/4.27
% 3.90/4.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.90/4.27 . [1, 2] (w:1, o:85, a:1, s:1, b:0),
% 3.90/4.27 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 3.90/4.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.90/4.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.90/4.27 'c_Set_Oimage' [43, 4] (w:1, o:125, a:1, s:1, b:0),
% 3.90/4.27 'tc_bool' [45, 0] (w:1, o:15, a:1, s:1, b:0),
% 3.90/4.27 'tc_fun' [46, 2] (w:1, o:110, a:1, s:1, b:0),
% 3.90/4.27 'c_Lattices_Oupper__semilattice__class_Osup' [47, 1] (w:1, o:62, a:1
% 3.90/4.27 , s:1, b:0),
% 3.90/4.27 hAPP [48, 2] (w:1, o:111, a:1, s:1, b:0),
% 3.90/4.27 'c_Fun_Oinj__on' [49, 4] (w:1, o:126, a:1, s:1, b:0),
% 3.90/4.27 'c_in' [51, 3] (w:1, o:116, a:1, s:1, b:0),
% 3.90/4.27 hBOOL [52, 1] (w:1, o:63, a:1, s:1, b:0),
% 3.90/4.27 'c_HOL_Ominus__class_Ominus' [53, 3] (w:1, o:117, a:1, s:1, b:0),
% 3.90/4.27 'c_Set_Oinsert' [55, 3] (w:1, o:119, a:1, s:1, b:0),
% 3.90/4.27 'c_lessequals' [56, 3] (w:1, o:120, a:1, s:1, b:0),
% 3.90/4.27 'c_Finite__Set_Ofinite' [57, 2] (w:1, o:112, a:1, s:1, b:0),
% 3.90/4.27 'c_Finite__Set_Ofold__graph' [61, 6] (w:1, o:132, a:1, s:1, b:0),
% 3.90/4.27 'c_Orderings_Obot__class_Obot' [62, 1] (w:1, o:64, a:1, s:1, b:0),
% 3.90/4.27 'c_Lattices_Olower__semilattice__class_Oinf' [63, 1] (w:1, o:65, a:1
% 3.90/4.27 , s:1, b:0),
% 3.90/4.27 'c_Orderings_Otop__class_Otop' [64, 1] (w:1, o:66, a:1, s:1, b:0),
% 3.90/4.27 'c_Complete__Lattice_Ocomplete__lattice' [74, 9] (w:1, o:135, a:1, s:
% 3.90/4.27 1, b:0),
% 3.90/4.27 'c_Set_Ovimage' [78, 4] (w:1, o:127, a:1, s:1, b:0),
% 3.90/4.27 'class_Lattices_Obounded__lattice' [79, 1] (w:1, o:67, a:1, s:1, b:0)
% 3.90/4.27 ,
% 3.90/4.27 'class_Complete__Lattice_Ocomplete__lattice' [80, 1] (w:1, o:68, a:1
% 3.90/4.27 , s:1, b:0),
% 3.90/4.27 'c_Complete__Lattice_OSup__class_OSup' [81, 2] (w:1, o:114, a:1, s:1
% 3.90/4.27 , b:0),
% 3.90/4.27 'c_Finite__Set_Ofold1Set' [82, 4] (w:1, o:128, a:1, s:1, b:0),
% 3.90/4.27 'c_Collect' [84, 2] (w:1, o:113, a:1, s:1, b:0),
% 3.90/4.27 'c_HOL_Oord__class_Oless' [85, 3] (w:1, o:121, a:1, s:1, b:0),
% 3.90/4.27 'c_Fun_Ooverride__on' [88, 5] (w:1, o:130, a:1, s:1, b:0),
% 3.90/4.27 'class_Lattices_Oupper__semilattice' [89, 1] (w:1, o:69, a:1, s:1, b:
% 3.90/4.27 0),
% 3.90/4.27 'c_Finite__Set_Ofold' [90, 5] (w:1, o:131, a:1, s:1, b:0),
% 3.90/4.27 'class_Lattices_Olattice' [91, 1] (w:1, o:70, a:1, s:1, b:0),
% 3.90/4.27 't_a' [92, 0] (w:1, o:44, a:1, s:1, b:0),
% 3.90/4.27 'v_x' [93, 0] (w:1, o:45, a:1, s:1, b:0),
% 3.90/4.27 'class_Lattices_Odistrib__lattice' [94, 1] (w:1, o:71, a:1, s:1, b:0)
% 3.90/4.27 ,
% 3.90/4.27 'class_Orderings_Opreorder' [96, 1] (w:1, o:73, a:1, s:1, b:0),
% 3.90/4.27 'class_Orderings_Oorder' [97, 1] (w:1, o:72, a:1, s:1, b:0),
% 3.90/4.27 'c_Relation_OImage' [99, 4] (w:1, o:124, a:1, s:1, b:0),
% 3.90/4.27 'class_Orderings_Olinorder' [101, 1] (w:1, o:74, a:1, s:1, b:0),
% 3.90/4.27 'class_HOL_Oord' [102, 1] (w:1, o:75, a:1, s:1, b:0),
% 3.90/4.27 'class_OrderedGroup_Oab__group__add' [103, 1] (w:1, o:76, a:1, s:1
% 3.90/4.27 , b:0),
% 3.90/4.27 'class_Lattices_Olower__semilattice' [107, 1] (w:1, o:77, a:1, s:1
% 3.90/4.27 , b:0),
% 3.90/4.27 'class_Orderings_Otop' [109, 1] (w:1, o:78, a:1, s:1, b:0),
% 3.90/4.27 'class_Ring__and__Field_Oordered__idom' [110, 1] (w:1, o:79, a:1, s:1
% 3.90/4.27 , b:0),
% 3.90/4.27 'c_Hoare__Mirabelle_Ohoare__derivs' [112, 3] (w:1, o:122, a:1, s:1
% 3.90/4.27 , b:0),
% 3.90/4.27 'class_HOL_Ominus' [114, 1] (w:1, o:80, a:1, s:1, b:0),
% 3.90/4.27 'class_Finite__Set_Ofinite_Ofinite' [115, 1] (w:1, o:81, a:1, s:1, b:
% 32.70/33.07 0),
% 32.70/33.07 'c_Nitpick_Ofold__graph_H' [116, 6] (w:1, o:133, a:1, s:1, b:0),
% 32.70/33.07 'c_Wellfounded_Omax__extp' [119, 4] (w:1, o:129, a:1, s:1, b:0),
% 32.70/33.07 'class_OrderedGroup_Opordered__ab__group__add' [122, 1] (w:1, o:82
% 32.70/33.07 , a:1, s:1, b:0),
% 32.70/33.07 'c_fequal' [123, 2] (w:1, o:115, a:1, s:1, b:0),
% 32.70/33.07 'c_Relation_Ototal__on' [125, 3] (w:1, o:118, a:1, s:1, b:0),
% 32.70/33.07 'c_Finite__Set_Ofold__image' [126, 6] (w:1, o:134, a:1, s:1, b:0),
% 32.70/33.07 'tc_Hoare__Mirabelle_Otriple' [128, 1] (w:1, o:83, a:1, s:1, b:0),
% 32.70/33.07 'class_Orderings_Obot' [129, 1] (w:1, o:84, a:1, s:1, b:0),
% 32.70/33.07 'v_Ga' [130, 0] (w:1, o:52, a:1, s:1, b:0),
% 32.70/33.07 'c_Hoare__Mirabelle_Ohoare__valids' [131, 3] (w:1, o:123, a:1, s:1
% 32.70/33.07 , b:0).
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Starting Search:
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 4523
% 32.70/33.07 Kept: 2015
% 32.70/33.07 Inuse: 180
% 32.70/33.07 Deleted: 10
% 32.70/33.07 Deletedinuse: 0
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 9162
% 32.70/33.07 Kept: 4036
% 32.70/33.07 Inuse: 209
% 32.70/33.07 Deleted: 15
% 32.70/33.07 Deletedinuse: 3
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 16488
% 32.70/33.07 Kept: 6057
% 32.70/33.07 Inuse: 335
% 32.70/33.07 Deleted: 19
% 32.70/33.07 Deletedinuse: 3
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 24328
% 32.70/33.07 Kept: 8135
% 32.70/33.07 Inuse: 397
% 32.70/33.07 Deleted: 22
% 32.70/33.07 Deletedinuse: 3
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 34020
% 32.70/33.07 Kept: 10144
% 32.70/33.07 Inuse: 462
% 32.70/33.07 Deleted: 26
% 32.70/33.07 Deletedinuse: 5
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 43678
% 32.70/33.07 Kept: 12210
% 32.70/33.07 Inuse: 499
% 32.70/33.07 Deleted: 27
% 32.70/33.07 Deletedinuse: 5
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 56690
% 32.70/33.07 Kept: 14971
% 32.70/33.07 Inuse: 546
% 32.70/33.07 Deleted: 30
% 32.70/33.07 Deletedinuse: 6
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 68192
% 32.70/33.07 Kept: 17077
% 32.70/33.07 Inuse: 577
% 32.70/33.07 Deleted: 33
% 32.70/33.07 Deletedinuse: 9
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 77535
% 32.70/33.07 Kept: 19152
% 32.70/33.07 Inuse: 627
% 32.70/33.07 Deleted: 38
% 32.70/33.07 Deletedinuse: 9
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying clauses:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 89530
% 32.70/33.07 Kept: 21849
% 32.70/33.07 Inuse: 667
% 32.70/33.07 Deleted: 132
% 32.70/33.07 Deletedinuse: 9
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 107859
% 32.70/33.07 Kept: 24307
% 32.70/33.07 Inuse: 683
% 32.70/33.07 Deleted: 165
% 32.70/33.07 Deletedinuse: 33
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 118656
% 32.70/33.07 Kept: 26476
% 32.70/33.07 Inuse: 696
% 32.70/33.07 Deleted: 173
% 32.70/33.07 Deletedinuse: 33
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 130790
% 32.70/33.07 Kept: 28890
% 32.70/33.07 Inuse: 741
% 32.70/33.07 Deleted: 194
% 32.70/33.07 Deletedinuse: 35
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 141541
% 32.70/33.07 Kept: 30894
% 32.70/33.07 Inuse: 783
% 32.70/33.07 Deleted: 202
% 32.70/33.07 Deletedinuse: 35
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 154570
% 32.70/33.07 Kept: 32945
% 32.70/33.07 Inuse: 822
% 32.70/33.07 Deleted: 203
% 32.70/33.07 Deletedinuse: 35
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 172002
% 32.70/33.07 Kept: 35570
% 32.70/33.07 Inuse: 867
% 32.70/33.07 Deleted: 210
% 32.70/33.07 Deletedinuse: 38
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 189559
% 32.70/33.07 Kept: 38439
% 32.70/33.07 Inuse: 909
% 32.70/33.07 Deleted: 213
% 32.70/33.07 Deletedinuse: 40
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying clauses:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 211616
% 32.70/33.07 Kept: 40576
% 32.70/33.07 Inuse: 947
% 32.70/33.07 Deleted: 1340
% 32.70/33.07 Deletedinuse: 41
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 223659
% 32.70/33.07 Kept: 42606
% 32.70/33.07 Inuse: 989
% 32.70/33.07 Deleted: 1340
% 32.70/33.07 Deletedinuse: 41
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07 Resimplifying inuse:
% 32.70/33.07 Done
% 32.70/33.07
% 32.70/33.07
% 32.70/33.07 Intermediate Status:
% 32.70/33.07 Generated: 236524
% 32.70/33.07 Kept: 44715
% 286.79/287.15 Inuse: 1026
% 286.79/287.15 Deleted: 1341
% 286.79/287.15 Deletedinuse: 41
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 247998
% 286.79/287.15 Kept: 46834
% 286.79/287.15 Inuse: 1063
% 286.79/287.15 Deleted: 1355
% 286.79/287.15 Deletedinuse: 47
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 268928
% 286.79/287.15 Kept: 50114
% 286.79/287.15 Inuse: 1105
% 286.79/287.15 Deleted: 1355
% 286.79/287.15 Deletedinuse: 47
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 278663
% 286.79/287.15 Kept: 52169
% 286.79/287.15 Inuse: 1133
% 286.79/287.15 Deleted: 1356
% 286.79/287.15 Deletedinuse: 48
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 287650
% 286.79/287.15 Kept: 54318
% 286.79/287.15 Inuse: 1158
% 286.79/287.15 Deleted: 1356
% 286.79/287.15 Deletedinuse: 48
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 302951
% 286.79/287.15 Kept: 56419
% 286.79/287.15 Inuse: 1213
% 286.79/287.15 Deleted: 1359
% 286.79/287.15 Deletedinuse: 51
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 321380
% 286.79/287.15 Kept: 58428
% 286.79/287.15 Inuse: 1262
% 286.79/287.15 Deleted: 1361
% 286.79/287.15 Deletedinuse: 52
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying clauses:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 339848
% 286.79/287.15 Kept: 60432
% 286.79/287.15 Inuse: 1319
% 286.79/287.15 Deleted: 1761
% 286.79/287.15 Deletedinuse: 54
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 354173
% 286.79/287.15 Kept: 62435
% 286.79/287.15 Inuse: 1351
% 286.79/287.15 Deleted: 1761
% 286.79/287.15 Deletedinuse: 54
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 379896
% 286.79/287.15 Kept: 65593
% 286.79/287.15 Inuse: 1363
% 286.79/287.15 Deleted: 1779
% 286.79/287.15 Deletedinuse: 54
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 391932
% 286.79/287.15 Kept: 67920
% 286.79/287.15 Inuse: 1364
% 286.79/287.15 Deleted: 1786
% 286.79/287.15 Deletedinuse: 57
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 404556
% 286.79/287.15 Kept: 70339
% 286.79/287.15 Inuse: 1368
% 286.79/287.15 Deleted: 1787
% 286.79/287.15 Deletedinuse: 57
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 422163
% 286.79/287.15 Kept: 73818
% 286.79/287.15 Inuse: 1390
% 286.79/287.15 Deleted: 1791
% 286.79/287.15 Deletedinuse: 58
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 441289
% 286.79/287.15 Kept: 76966
% 286.79/287.15 Inuse: 1409
% 286.79/287.15 Deleted: 1792
% 286.79/287.15 Deletedinuse: 58
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 459442
% 286.79/287.15 Kept: 79073
% 286.79/287.15 Inuse: 1449
% 286.79/287.15 Deleted: 1792
% 286.79/287.15 Deletedinuse: 58
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 473693
% 286.79/287.15 Kept: 82009
% 286.79/287.15 Inuse: 1454
% 286.79/287.15 Deleted: 1792
% 286.79/287.15 Deletedinuse: 58
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying clauses:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 482461
% 286.79/287.15 Kept: 84164
% 286.79/287.15 Inuse: 1469
% 286.79/287.15 Deleted: 2086
% 286.79/287.15 Deletedinuse: 58
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 499175
% 286.79/287.15 Kept: 87118
% 286.79/287.15 Inuse: 1499
% 286.79/287.15 Deleted: 2087
% 286.79/287.15 Deletedinuse: 59
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 515409
% 286.79/287.15 Kept: 90305
% 286.79/287.15 Inuse: 1509
% 286.79/287.15 Deleted: 2087
% 286.79/287.15 Deletedinuse: 59
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 527324
% 286.79/287.15 Kept: 92315
% 286.79/287.15 Inuse: 1523
% 286.79/287.15 Deleted: 2087
% 286.79/287.15 Deletedinuse: 59
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 800221
% 286.79/287.15 Kept: 94325
% 286.79/287.15 Inuse: 1648
% 286.79/287.15 Deleted: 2094
% 286.79/287.15 Deletedinuse: 62
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 849848
% 286.79/287.15 Kept: 96348
% 286.79/287.15 Inuse: 1711
% 286.79/287.15 Deleted: 2095
% 286.79/287.15 Deletedinuse: 62
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 913977
% 286.79/287.15 Kept: 98366
% 286.79/287.15 Inuse: 1773
% 286.79/287.15 Deleted: 2095
% 286.79/287.15 Deletedinuse: 62
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 1014254
% 286.79/287.15 Kept: 100506
% 286.79/287.15 Inuse: 1906
% 286.79/287.15 Deleted: 2095
% 286.79/287.15 Deletedinuse: 62
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying inuse:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15 Resimplifying clauses:
% 286.79/287.15 Done
% 286.79/287.15
% 286.79/287.15
% 286.79/287.15 Intermediate Status:
% 286.79/287.15 Generated: 1174633
% 286.79/287.15 Kept: 102507
% 286.79/287.15 Inuse: 2Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------