TSTP Solution File: SWV913-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV913-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:10 EDT 2022
% Result : Unsatisfiable 20.66s 21.02s
% Output : Refutation 20.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWV913-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Wed Jun 15 04:28:14 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.97/1.33 *** allocated 10000 integers for termspace/termends
% 0.97/1.33 *** allocated 10000 integers for clauses
% 0.97/1.33 *** allocated 10000 integers for justifications
% 0.97/1.33 *** allocated 15000 integers for termspace/termends
% 0.97/1.33 Bliksem 1.12
% 0.97/1.33
% 0.97/1.33
% 0.97/1.33 Automatic Strategy Selection
% 0.97/1.33
% 0.97/1.33 Clauses:
% 0.97/1.33 [
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.97/1.33 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.97/1.33 , 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( X, Y ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.97/1.33 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.97/1.33 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.97/1.33 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.97/1.33 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.97/1.33 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.97/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.97/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.33 ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.97/1.33 , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, hAPP(
% 0.97/1.33 'c_Set_Oimage'( Z, T, Y ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.97/1.33 , ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, W, T ), U ), Z, 'tc_fun'( T
% 0.97/1.33 , 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.97/1.33 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 0.97/1.33 T ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.97/1.33 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.97/1.33 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.97/1.33 ), hBOOL( 'c_in'( hAPP( X, Z ), hAPP( 'c_Set_Oimage'( X, Y, U ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( T, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ) ) ), U ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.33 , X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.97/1.33 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.97/1.33 [ ~( hBOOL( 'c_in'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1'(
% 0.97/1.33 X, Y ),
% 0.97/1.33 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2'(
% 0.97/1.33 X, Y ), Y ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( U, T, 'tc_fun'(
% 0.97/1.33 Z, 'tc_bool' ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~(
% 0.97/1.33 'c_Fun_Oinj__on'( Y, T, Z, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , T ), U ), Z, X ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( U, T, 'tc_fun'(
% 0.97/1.33 Z, 'tc_bool' ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , T ), U ), Z, X ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.97/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.97/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 0.97/1.33 X, T ) ) ],
% 0.97/1.33 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 0.97/1.33 , T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.97/1.33 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.33 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.97/1.33 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oimage'( X
% 0.97/1.33 , Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , T ), Y ), Z ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , Y ), T ), Z ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.97/1.33 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.97/1.33 U, W ) ) ],
% 0.97/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.97/1.33 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.97/1.33 =( Y, Z ) ],
% 0.97/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.97/1.33 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.97/1.33 =( Y, Z ) ],
% 0.97/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.97/1.33 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.97/1.33 , U ) ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.33 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.97/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.97/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.97/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.97/1.33 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.97/1.33 X ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.97/1.33 X ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.97/1.33 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.97/1.33 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), Y ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.97/1.33 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.97/1.33 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.97/1.33 [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL(
% 0.97/1.33 hAPP( hAPP( U, Z ), Y ) ) ), ~( 'c_Orderings_Oorder'( X, U, T ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.97/1.33 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.97/1.33 , T ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.97/1.33 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.97/1.33 , T ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 0.97/1.33 , ~( hBOOL( 'c_in'( Z, U, T ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.97/1.33 , Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 0.97/1.33 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.33 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 ), hBOOL( 'c_in'( T, X, Z ) ) ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 0.97/1.33 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.97/1.33 'c_lessequals'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X,
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.97/1.33 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.97/1.33 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X,
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.97/1.33 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.97/1.33 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y,
% 0.97/1.33 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.97/1.33 , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 0.97/1.33 Y, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( W, X, U ) ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.97/1.33 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.97/1.33 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.97/1.33 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.97/1.33 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.97/1.33 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T,
% 0.97/1.33 U, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.97/1.33 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.97/1.33 ), Y ), hAPP( hAPP( X, Z ), 'c_Finite__Set_Ofold1'( X, T, Y ) ) ), hBOOL(
% 0.97/1.33 'c_in'( Z, T, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), =( T,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'(
% 0.97/1.33 X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.33 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.97/1.33 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.97/1.33 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.97/1.33 , T ) ],
% 0.97/1.33 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.97/1.33 , Z ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.97/1.33 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.97/1.33 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.97/1.33 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.97/1.33 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.97/1.33 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.33 'c_SetInterval_Oord_OatLeastAtMost'( Y, Z, T, X ) ), hBOOL( hAPP( hAPP( Y
% 0.97/1.33 , Z ), T ) ), ~( 'c_Orderings_Oorder'( Y, U, X ) ) ],
% 0.97/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.33 'c_SetInterval_Oord_OatLeastAtMost'( Y, Z, T, X ) ) ), ~(
% 0.97/1.33 'c_Orderings_Oorder'( Y, U, X ) ), ~( hBOOL( hAPP( hAPP( Y, Z ), T ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.97/1.33 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.97/1.33 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.97/1.33 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.97/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.97/1.33 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.97/1.33 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , T ), U ), Y, Z ) ), =( T, U ) ],
% 0.97/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.97/1.33 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.97/1.33 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.33 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.97/1.33 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.97/1.33 , U ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.97/1.33 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.97/1.33 , U ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.97/1.33 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.97/1.33 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 0.97/1.33 Z, Y, Y ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z,
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.97/1.33 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), T ) ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.97/1.33 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.97/1.33 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.97/1.33 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.97/1.33 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.97/1.33 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.97/1.33 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 0.97/1.33 ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.97/1.33 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.97/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.97/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.97/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.97/1.33 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.33 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.97/1.33 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.33 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.97/1.33 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.97/1.33 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.97/1.33 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.97/1.33 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.97/1.33 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.97/1.33 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.97/1.33 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 0.97/1.33 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 0.97/1.33 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.97/1.33 'tc_bool' ) ), hAPP( T, Y ) ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.97/1.33 U, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.97/1.33 'c_SetInterval_Oord_OatLeastAtMost'( X, U, W, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.33 ) ), ~( hBOOL( hAPP( hAPP( X, Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, U )
% 0.97/1.33 , Y ) ) ), ~( 'c_Orderings_Oorder'( X, V0, T ) ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.97/1.33 'c_SetInterval_Oord_OatLeastAtMost'( X, U, W, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.33 ) ), hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Orderings_Oorder'( X, V0, T
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Y ) )
% 0.97/1.33 ), ~( 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X, T, Y, U )
% 0.97/1.33 , 'c_SetInterval_Oord_OatLeastAtMost'( X, W, Z, U ), 'tc_fun'( U,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_Orderings_Oorder'( X, V0, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) )
% 0.97/1.33 ), ~( 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X, Z, T, U )
% 0.97/1.33 , 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, W, U ), 'tc_fun'( U,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_Orderings_Oorder'( X, V0, U ) ) ],
% 0.97/1.33 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.97/1.33 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.97/1.33 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.97/1.33 , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.97/1.33 Z, Y, X ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.97/1.33 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.97/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.97/1.33 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.97/1.33 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.97/1.33 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.33 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.33 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.97/1.33 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.97/1.33 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.97/1.33 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.97/1.33 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.97/1.33 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, hAPP(
% 0.97/1.33 'c_Set_Ovimage'( X, U, T ), Z ), U ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, hAPP(
% 0.97/1.33 'c_Set_Ovimage'( X, U, T ), Z ), U ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.97/1.33 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.97/1.33 , V3, V4, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.97/1.33 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.97/1.33 , V3, V4, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y,
% 0.97/1.33 'c_SetInterval_Oord_OatLeastAtMost'( X, T, Z, U ), U ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Z,
% 0.97/1.33 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, T, U ), U ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), Y ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.97/1.33 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.97/1.33 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.97/1.33 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 0.97/1.33 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 0.97/1.33 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.97/1.33 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.97/1.33 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.97/1.33 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.97/1.33 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.97/1.33 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.97/1.33 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 0.97/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, X ) ), ~(
% 0.97/1.33 'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =(
% 0.97/1.33 'c_Finite__Set_Ofold1'( T, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), X ), hAPP( hAPP( T, 'c_Finite__Set_Ofold1'( T, Y, X ) ),
% 0.97/1.33 'c_Finite__Set_Ofold1'( T, Z, X ) ) ) ],
% 0.97/1.33 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.97/1.33 Y, X ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.97/1.33 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.97/1.33 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( U, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.97/1.33 , 'tc_bool' ) ) ), T ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Z ), Y ), U ), Z, T ) ) ],
% 0.97/1.33 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.97/1.33 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 0.97/1.33 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.97/1.33 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 0.97/1.33 ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.97/1.33 hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , T ), X ), Y ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , X ), T ), Y ) ) ) ],
% 0.97/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, hAPP(
% 0.97/1.33 'c_Set_Oimage'( X, Z, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.97/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , U ), Y ), Z, T ) ) ],
% 0.97/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , Y ), U ), Z, T ) ) ],
% 0.97/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( T, Z, U ), Y ), U ) ) ],
% 0.97/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( T, Z, U ), Y ), U ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ), U ), T )
% 0.97/1.33 ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ), U ), T )
% 0.97/1.33 ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.97/1.33 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.97/1.33 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.33 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.97/1.33 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.33 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.97/1.33 , V2, Z, Y ) ) ],
% 0.97/1.33 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.97/1.33 , Z, V2, Y ) ) ],
% 0.97/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.33 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.97/1.33 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.33 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.33 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.33 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.33 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), Y ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.33 ) ) ), Y ), Y ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), X ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.33 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.33 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.97/1.33 , 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ), Y, Z ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Z )
% 0.97/1.33 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ) ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.33 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( hBOOL(
% 0.97/1.33 'c_in'( Y, Z, X ) ) ) ],
% 0.97/1.33 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, hAPP( 'c_Set_Ovimage'( X, T
% 0.97/1.33 , U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), T ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ), X ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 0.97/1.33 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.97/1.33 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.97/1.33 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.97/1.33 ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.97/1.33 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.97/1.33 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.97/1.33 hAPP( X, Y ), Z ) ), ~( 'c_Orderings_Oorder'( X, U, T ) ) ],
% 0.97/1.33 [ ~( =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), ~(
% 0.97/1.33 'c_Orderings_Oorder'( X, U, T ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 0.97/1.33 ) ), hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, T, Y, Z, U ), U, Z ), W ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.97/1.33 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.97/1.33 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.97/1.33 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 0.97/1.33 ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ) ), Y ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.97/1.33 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_COMBB'( X, Y, Z, 'tc_fun'(
% 0.97/1.33 T, T ), U ), U, T ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, Z, T )
% 0.97/1.33 ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, 'c_SetInterval_Oord_OatLeastAtMost'( Y, Z, T, U ), U
% 0.97/1.33 ) ), ~( hBOOL( hAPP( hAPP( Y, X ), T ) ) ), ~( hBOOL( hAPP( hAPP( Y, Z )
% 0.97/1.33 , X ) ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.97/1.33 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.33 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.33 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.97/1.33 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.33 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.97/1.33 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.97/1.33 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.97/1.33 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.97/1.33 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.97/1.33 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.97/1.33 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.97/1.33 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.97/1.33 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( U, X
% 0.97/1.33 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_lessequals'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.97/1.33 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.97/1.33 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.97/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.97/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.97/1.33 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.97/1.33 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.97/1.33 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T, U
% 0.97/1.33 , 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.97/1.33 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ),
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.33 ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.97/1.33 'c_in'( X, Z, Y ) ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.97/1.33 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.97/1.33 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.97/1.33 U, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.97/1.33 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 0.97/1.33 hAPP( T, hAPP( X, U ) ) ) ) ],
% 0.97/1.33 [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.97/1.33 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 0.97/1.33 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.97/1.33 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 0.97/1.33 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.97/1.33 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 0.97/1.33 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.97/1.33 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.97/1.33 Z, Y ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.97/1.33 Z, Y ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.97/1.33 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.97/1.33 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.97/1.33 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.97/1.33 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.33 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.33 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.33 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.97/1.33 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.97/1.33 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.97/1.33 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 Z, 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.97/1.33 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.97/1.33 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.33 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.97/1.33 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.97/1.33 Y, Z, X ) ) ) ],
% 0.97/1.33 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.97/1.33 'c_lessequals'( Z, Y, X ) ],
% 0.97/1.33 [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Y, Z ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ) ), ~( 'c_Orderings_Oorder'( X, T, Z ) ) ],
% 0.97/1.33 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.97/1.33 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1'(
% 0.97/1.33 X, Y ) ),
% 0.97/1.33 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2'(
% 0.97/1.33 X, Y ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.97/1.33 ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( T ), hAPP( Y, X ) ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( T, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 0.97/1.33 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z
% 0.97/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.97/1.33 'c_in'( Y, Z, X ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.97/1.33 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.97/1.33 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), =( 'c_Finite__Set_Ofold1'( T
% 0.97/1.33 , hAPP( hAPP( 'c_Set_Oinsert'( U ), W ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( U, 'tc_bool' ) ) ), U ), W ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.33 hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 0.97/1.33 ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.33 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 0.97/1.33 ) ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.97/1.33 , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.97/1.33 , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.97/1.33 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.97/1.33 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.97/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.97/1.33 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.97/1.33 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.97/1.33 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.97/1.33 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 0.97/1.33 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.97/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.97/1.33 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 0.97/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.97/1.33 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.97/1.33 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 0.97/1.33 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.97/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.97/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Y ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.97/1.33 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , Z ), T ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.97/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.33 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'( X ), X,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 0.97/1.33 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 0.97/1.33 Y, Z, X ) ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.97/1.33 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T,
% 0.97/1.33 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.97/1.33 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.97/1.33 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.97/1.33 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 0.97/1.33 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.97/1.33 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.97/1.33 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.97/1.33 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.97/1.33 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.97/1.33 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.97/1.33 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.97/1.33 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 0.97/1.33 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 0.97/1.33 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.97/1.33 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.97/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.33 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.97/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.97/1.33 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ) ) ) ],
% 0.97/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 0.97/1.33 ) ],
% 0.97/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 0.97/1.33 ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.97/1.33 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.97/1.33 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.97/1.33 , Y ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.97/1.33 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 0.97/1.33 ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 0.97/1.33 ), Z ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.97/1.33 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.97/1.33 ) ],
% 0.97/1.33 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.97/1.33 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.97/1.33 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.97/1.33 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.97/1.33 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.33 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.97/1.33 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.97/1.33 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 0.97/1.33 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 0.97/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.97/1.33 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.97/1.33 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.97/1.33 ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.33 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.97/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.97/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.97/1.33 'c_in'( Y, Z, X ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.33 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.97/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.97/1.33 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.97/1.33 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.97/1.33 , Y ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.97/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.97/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.97/1.33 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.33 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.97/1.33 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.33 ) ), Y ) ) ) ],
% 0.97/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.97/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.97/1.33 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.33 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.97/1.33 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.97/1.34 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.97/1.34 ,
% 0.97/1.34 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.97/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.97/1.34 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.34 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.97/1.34 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.97/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ) ) ],
% 0.97/1.34 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 0.97/1.34 hBOOL( hAPP( Z, T ) ) ) ],
% 0.97/1.34 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 0.97/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.34 't_a' ), 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.97/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 0.97/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.97/1.34 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.97/1.34 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.97/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.97/1.34 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.97/1.34 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.97/1.34 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.97/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.97/1.34 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.97/1.34 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.97/1.34 Y ) ) ],
% 0.97/1.34 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.97/1.34 ,
% 0.97/1.34 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.97/1.34 ,
% 0.97/1.34 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.97/1.34 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.97/1.34 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.97/1.34 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.97/1.34 ] .
% 0.97/1.34
% 0.97/1.34
% 0.97/1.34 percentage equality = 0.283384, percentage horn = 0.888158
% 0.97/1.34 This is a problem with some equality
% 0.97/1.34
% 0.97/1.34
% 0.97/1.34
% 0.97/1.34 Options Used:
% 0.97/1.34
% 0.97/1.34 useres = 1
% 0.97/1.34 useparamod = 1
% 0.97/1.34 useeqrefl = 1
% 0.97/1.34 useeqfact = 1
% 0.97/1.34 usefactor = 1
% 0.97/1.34 usesimpsplitting = 0
% 0.97/1.34 usesimpdemod = 5
% 0.97/1.34 usesimpres = 3
% 0.97/1.34
% 0.97/1.34 resimpinuse = 1000
% 0.97/1.34 resimpclauses = 20000
% 0.97/1.34 substype = eqrewr
% 0.97/1.34 backwardsubs = 1
% 0.97/1.34 selectoldest = 5
% 0.97/1.34
% 0.97/1.34 litorderings [0] = split
% 0.97/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.97/1.34
% 0.97/1.34 termordering = kbo
% 0.97/1.34
% 0.97/1.34 litapriori = 0
% 0.97/1.34 termapriori = 1
% 0.97/1.34 litaposteriori = 0
% 0.97/1.34 termaposteriori = 0
% 0.97/1.34 demodaposteriori = 0
% 0.97/1.34 ordereqreflfact = 0
% 0.97/1.34
% 0.97/1.34 litselect = negord
% 0.97/1.34
% 0.97/1.34 maxweight = 15
% 0.97/1.34 maxdepth = 30000
% 0.97/1.34 maxlength = 115
% 0.97/1.34 maxnrvars = 195
% 0.97/1.34 excuselevel = 1
% 0.97/1.34 increasemaxweight = 1
% 0.97/1.34
% 0.97/1.34 maxselected = 10000000
% 2.09/2.45 maxnrclauses = 10000000
% 2.09/2.45
% 2.09/2.45 showgenerated = 0
% 2.09/2.45 showkept = 0
% 2.09/2.45 showselected = 0
% 2.09/2.45 showdeleted = 0
% 2.09/2.45 showresimp = 1
% 2.09/2.45 showstatus = 2000
% 2.09/2.45
% 2.09/2.45 prologoutput = 1
% 2.09/2.45 nrgoals = 5000000
% 2.09/2.45 totalproof = 1
% 2.09/2.45
% 2.09/2.45 Symbols occurring in the translation:
% 2.09/2.45
% 2.09/2.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.09/2.45 . [1, 2] (w:1, o:104, a:1, s:1, b:0),
% 2.09/2.45 ! [4, 1] (w:0, o:78, a:1, s:1, b:0),
% 2.09/2.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.09/2.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.09/2.45 'c_Set_Oinsert' [40, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.09/2.45 hAPP [42, 2] (w:1, o:129, a:1, s:1, b:0),
% 2.09/2.45 'tc_bool' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 2.09/2.45 'tc_fun' [46, 2] (w:1, o:130, a:1, s:1, b:0),
% 2.09/2.45 'c_HOL_Ominus__class_Ominus' [47, 3] (w:1, o:150, a:1, s:1, b:0),
% 2.09/2.45 'c_in' [48, 3] (w:1, o:151, a:1, s:1, b:0),
% 2.09/2.45 hBOOL [49, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.09/2.45 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [52, 4] (w:1
% 2.09/2.45 , o:163, a:1, s:1, b:0),
% 2.09/2.45 'c_lessequals' [53, 3] (w:1, o:152, a:1, s:1, b:0),
% 2.09/2.45 'class_Complete__Lattice_Ocomplete__lattice' [54, 1] (w:1, o:85, a:1
% 2.09/2.45 , s:1, b:0),
% 2.09/2.45 'c_Finite__Set_Ofold1' [58, 3] (w:1, o:153, a:1, s:1, b:0),
% 2.09/2.45 'c_Finite__Set_Ofold1Set' [59, 3] (w:1, o:154, a:1, s:1, b:0),
% 2.09/2.45 'c_The' [60, 2] (w:1, o:133, a:1, s:1, b:0),
% 2.09/2.45 'c_Orderings_Obot__class_Obot' [61, 1] (w:1, o:86, a:1, s:1, b:0),
% 2.09/2.45 'c_Set_Oimage' [62, 3] (w:1, o:155, a:1, s:1, b:0),
% 2.09/2.45 'c_Lattices_Olower__semilattice__class_Oinf' [63, 1] (w:1, o:87, a:1
% 2.09/2.45 , s:1, b:0),
% 2.09/2.45 'c_Fun_Oinj__on' [65, 4] (w:1, o:164, a:1, s:1, b:0),
% 2.09/2.45 'c_Finite__Set_Ofinite' [66, 2] (w:1, o:134, a:1, s:1, b:0),
% 2.09/2.45 'class_Lattices_Olattice' [67, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.09/2.45 't_a' [68, 0] (w:1, o:22, a:1, s:1, b:0),
% 2.09/2.45 'c_Lattices_Oupper__semilattice__class_Osup' [69, 1] (w:1, o:89, a:1
% 2.09/2.45 , s:1, b:0),
% 2.09/2.45 'v_x' [71, 0] (w:1, o:28, a:1, s:1, b:0),
% 2.09/2.45 'class_Lattices_Odistrib__lattice' [72, 1] (w:1, o:90, a:1, s:1, b:0)
% 2.09/2.45 ,
% 2.09/2.45 'c_Collect' [76, 2] (w:1, o:135, a:1, s:1, b:0),
% 2.09/2.45 'c_Orderings_Oorder' [79, 3] (w:1, o:156, a:1, s:1, b:0),
% 2.09/2.45 'class_Lattices_Oupper__semilattice' [80, 1] (w:1, o:91, a:1, s:1, b:
% 2.09/2.45 0),
% 2.09/2.45 'c_COMBB' [81, 5] (w:1, o:176, a:1, s:1, b:0),
% 2.09/2.45
% 2.09/2.45 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1'
% 2.09/2.45 [83, 2] (w:1, o:136, a:1, s:1, b:0),
% 2.09/2.45
% 2.09/2.45 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2'
% 2.09/2.45 [84, 2] (w:1, o:137, a:1, s:1, b:0),
% 2.09/2.45 'class_OrderedGroup_Oab__group__add' [88, 1] (w:1, o:92, a:1, s:1, b:
% 2.09/2.45 0),
% 2.09/2.45 'class_Orderings_Olinorder' [92, 1] (w:1, o:93, a:1, s:1, b:0),
% 2.09/2.45 'c_Finite__Set_Olinorder__class_OMax' [93, 2] (w:1, o:138, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'c_Orderings_Olinorder' [95, 3] (w:1, o:157, a:1, s:1, b:0),
% 2.09/2.45 'c_SetInterval_Oord__class_OlessThan' [96, 2] (w:1, o:131, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'class_Lattices_Olower__semilattice' [98, 1] (w:1, o:94, a:1, s:1, b:
% 2.09/2.45 0),
% 2.09/2.45 'c_SetInterval_Oord_OatLeastAtMost' [100, 4] (w:1, o:165, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'c_Set_Ovimage' [101, 3] (w:1, o:158, a:1, s:1, b:0),
% 2.09/2.45 'c_Complete__Lattice_OInf__class_OInf' [103, 2] (w:1, o:139, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'c_OrderedGroup_Oab__semigroup__mult' [105, 2] (w:1, o:141, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'c_Finite__Set_Ofun__left__comm__idem' [106, 3] (w:1, o:159, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'c_Com_Ocom_OSemi' [109, 2] (w:1, o:142, a:1, s:1, b:0),
% 2.09/2.45 'c_Complete__Lattice_OSup__class_OSup' [112, 2] (w:1, o:143, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'class_Orderings_Oorder' [117, 1] (w:1, o:95, a:1, s:1, b:0),
% 2.09/2.45 'c_SetInterval_Oord__class_OatLeastAtMost' [118, 3] (w:1, o:160, a:1
% 2.09/2.45 , s:1, b:0),
% 2.09/2.45 'c_Finite__Set_Olinorder__class_OMin' [122, 2] (w:1, o:144, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'c_Hoare__Mirabelle_Otriple_Otriple' [126, 4] (w:1, o:166, a:1, s:1
% 2.09/2.45 , b:0),
% 2.09/2.45 'class_HOL_Ominus' [130, 1] (w:1, o:96, a:1, s:1, b:0),
% 2.09/2.45 'c_Complete__Lattice_Ocomplete__lattice' [137, 9] (w:1, o:179, a:1
% 2.09/2.45 , s:1, b:0),
% 2.09/2.45 'class_Finite__Set_Ofinite_Ofinite' [139, 1] (w:1, o:97, a:1, s:1, b:
% 11.57/11.96 0),
% 11.57/11.96 'class_HOL_Oord' [141, 1] (w:1, o:98, a:1, s:1, b:0),
% 11.57/11.96 'class_Lattices_Obounded__lattice' [142, 1] (w:1, o:99, a:1, s:1, b:0
% 11.57/11.96 ),
% 11.57/11.96 'class_Orderings_Obot' [143, 1] (w:1, o:100, a:1, s:1, b:0),
% 11.57/11.96 'c_Com_Ocom_OSKIP' [144, 0] (w:1, o:70, a:1, s:1, b:0),
% 11.57/11.96 'class_Orderings_Opreorder' [145, 1] (w:1, o:101, a:1, s:1, b:0),
% 11.57/11.96 'c_fequal' [147, 2] (w:1, o:145, a:1, s:1, b:0),
% 11.57/11.96 'class_OrderedGroup_Opordered__ab__group__add' [148, 1] (w:1, o:102
% 11.57/11.96 , a:1, s:1, b:0),
% 11.57/11.96 'c_Hoare__Mirabelle_Ohoare__derivs' [150, 3] (w:1, o:161, a:1, s:1
% 11.57/11.96 , b:0),
% 11.57/11.96 'tc_Hoare__Mirabelle_Otriple' [152, 1] (w:1, o:103, a:1, s:1, b:0),
% 11.57/11.96 'c_Hoare__Mirabelle_Ohoare__valids' [154, 3] (w:1, o:162, a:1, s:1
% 11.57/11.96 , b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [156, 6] (w:1
% 11.57/11.96 , o:177, a:1, s:1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [157, 4] (w:1
% 11.57/11.96 , o:168, a:1, s:1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xconseq12__3' [160, 4] (w:1, o:171, a:1, s:
% 11.57/11.96 1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xconseq12__2' [161, 4] (w:1, o:170, a:1, s:
% 11.57/11.96 1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [162, 6] (w:
% 11.57/11.96 1, o:178, a:1, s:1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [163, 4] (w:
% 11.57/11.96 1, o:173, a:1, s:1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [164, 4] (w:
% 11.57/11.96 1, o:172, a:1, s:1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [165, 4] (w:1
% 11.57/11.96 , o:167, a:1, s:1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xconseq2__1' [166, 2] (w:1, o:148, a:1, s:1
% 11.57/11.96 , b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xconseq2__2' [167, 2] (w:1, o:149, a:1, s:1
% 11.57/11.96 , b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xconseq12__1' [168, 4] (w:1, o:169, a:1, s:
% 11.57/11.96 1, b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xconseq1__1' [169, 2] (w:1, o:146, a:1, s:1
% 11.57/11.96 , b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xconseq1__2' [170, 2] (w:1, o:147, a:1, s:1
% 11.57/11.96 , b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xescape__1' [171, 4] (w:1, o:174, a:1, s:1
% 11.57/11.96 , b:0),
% 11.57/11.96 'v_sko__Hoare__Mirabelle__Xescape__2' [172, 4] (w:1, o:175, a:1, s:1
% 11.57/11.96 , b:0),
% 11.57/11.96 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [173, 2] (w:1, o:140, a:1
% 11.57/11.96 , s:1, b:0),
% 11.57/11.96 'c_Set_Ocontents' [174, 2] (w:1, o:132, a:1, s:1, b:0),
% 11.57/11.96 'v_t' [175, 0] (w:1, o:74, a:1, s:1, b:0).
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Starting Search:
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 4696
% 11.57/11.96 Kept: 2009
% 11.57/11.96 Inuse: 160
% 11.57/11.96 Deleted: 6
% 11.57/11.96 Deletedinuse: 1
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 10361
% 11.57/11.96 Kept: 4012
% 11.57/11.96 Inuse: 219
% 11.57/11.96 Deleted: 14
% 11.57/11.96 Deletedinuse: 5
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 17320
% 11.57/11.96 Kept: 6018
% 11.57/11.96 Inuse: 294
% 11.57/11.96 Deleted: 16
% 11.57/11.96 Deletedinuse: 7
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 28592
% 11.57/11.96 Kept: 8255
% 11.57/11.96 Inuse: 339
% 11.57/11.96 Deleted: 25
% 11.57/11.96 Deletedinuse: 10
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 37955
% 11.57/11.96 Kept: 10668
% 11.57/11.96 Inuse: 390
% 11.57/11.96 Deleted: 32
% 11.57/11.96 Deletedinuse: 11
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 51523
% 11.57/11.96 Kept: 13610
% 11.57/11.96 Inuse: 452
% 11.57/11.96 Deleted: 50
% 11.57/11.96 Deletedinuse: 16
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 62158
% 11.57/11.96 Kept: 15675
% 11.57/11.96 Inuse: 496
% 11.57/11.96 Deleted: 55
% 11.57/11.96 Deletedinuse: 19
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 69300
% 11.57/11.96 Kept: 17725
% 11.57/11.96 Inuse: 519
% 11.57/11.96 Deleted: 71
% 11.57/11.96 Deletedinuse: 19
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 77346
% 11.57/11.96 Kept: 19727
% 11.57/11.96 Inuse: 549
% 11.57/11.96 Deleted: 86
% 11.57/11.96 Deletedinuse: 21
% 11.57/11.96
% 11.57/11.96 Resimplifying clauses:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 11.57/11.96 Done
% 11.57/11.96
% 11.57/11.96
% 11.57/11.96 Intermediate Status:
% 11.57/11.96 Generated: 86422
% 11.57/11.96 Kept: 21747
% 11.57/11.96 Inuse: 584
% 11.57/11.96 Deleted: 422
% 11.57/11.96 Deletedinuse: 22
% 11.57/11.96
% 11.57/11.96 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02
% 20.61/21.02 Intermediate Status:
% 20.61/21.02 Generated: 102499
% 20.61/21.02 Kept: 23764
% 20.61/21.02 Inuse: 610
% 20.61/21.02 Deleted: 422
% 20.61/21.02 Deletedinuse: 22
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02
% 20.61/21.02 Intermediate Status:
% 20.61/21.02 Generated: 115494
% 20.61/21.02 Kept: 25841
% 20.61/21.02 Inuse: 656
% 20.61/21.02 Deleted: 422
% 20.61/21.02 Deletedinuse: 22
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02
% 20.61/21.02 Intermediate Status:
% 20.61/21.02 Generated: 125815
% 20.61/21.02 Kept: 27878
% 20.61/21.02 Inuse: 689
% 20.61/21.02 Deleted: 424
% 20.61/21.02 Deletedinuse: 22
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02
% 20.61/21.02 Intermediate Status:
% 20.61/21.02 Generated: 141949
% 20.61/21.02 Kept: 30523
% 20.61/21.02 Inuse: 697
% 20.61/21.02 Deleted: 450
% 20.61/21.02 Deletedinuse: 26
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02
% 20.61/21.02 Intermediate Status:
% 20.61/21.02 Generated: 155927
% 20.61/21.02 Kept: 32530
% 20.61/21.02 Inuse: 728
% 20.61/21.02 Deleted: 456
% 20.61/21.02 Deletedinuse: 26
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02
% 20.61/21.02 Intermediate Status:
% 20.61/21.02 Generated: 169925
% 20.61/21.02 Kept: 34536
% 20.61/21.02 Inuse: 781
% 20.61/21.02 Deleted: 459
% 20.61/21.02 Deletedinuse: 28
% 20.61/21.02
% 20.61/21.02 Resimplifying inuse:
% 20.61/21.02 Done
% 20.61/21.02
% 20.61/21.02
% 20.61/21.02 Intermediate Status:
% 20.66/21.02 Generated: 186017
% 20.66/21.02 Kept: 37607
% 20.66/21.02 Inuse: 808
% 20.66/21.02 Deleted: 467
% 20.66/21.02 Deletedinuse: 29
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 209961
% 20.66/21.02 Kept: 40325
% 20.66/21.02 Inuse: 815
% 20.66/21.02 Deleted: 477
% 20.66/21.02 Deletedinuse: 31
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying clauses:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 220517
% 20.66/21.02 Kept: 42566
% 20.66/21.02 Inuse: 825
% 20.66/21.02 Deleted: 1019
% 20.66/21.02 Deletedinuse: 32
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 230533
% 20.66/21.02 Kept: 44739
% 20.66/21.02 Inuse: 855
% 20.66/21.02 Deleted: 1035
% 20.66/21.02 Deletedinuse: 33
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 242147
% 20.66/21.02 Kept: 46790
% 20.66/21.02 Inuse: 884
% 20.66/21.02 Deleted: 1042
% 20.66/21.02 Deletedinuse: 34
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 252896
% 20.66/21.02 Kept: 49149
% 20.66/21.02 Inuse: 892
% 20.66/21.02 Deleted: 1055
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 263892
% 20.66/21.02 Kept: 51847
% 20.66/21.02 Inuse: 905
% 20.66/21.02 Deleted: 1057
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 274315
% 20.66/21.02 Kept: 53852
% 20.66/21.02 Inuse: 914
% 20.66/21.02 Deleted: 1057
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 285558
% 20.66/21.02 Kept: 55882
% 20.66/21.02 Inuse: 934
% 20.66/21.02 Deleted: 1057
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 304958
% 20.66/21.02 Kept: 58827
% 20.66/21.02 Inuse: 965
% 20.66/21.02 Deleted: 1057
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying clauses:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 320798
% 20.66/21.02 Kept: 61598
% 20.66/21.02 Inuse: 975
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 352212
% 20.66/21.02 Kept: 63791
% 20.66/21.02 Inuse: 1006
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 363788
% 20.66/21.02 Kept: 65836
% 20.66/21.02 Inuse: 1010
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 374530
% 20.66/21.02 Kept: 67944
% 20.66/21.02 Inuse: 1038
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 385172
% 20.66/21.02 Kept: 70083
% 20.66/21.02 Inuse: 1065
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 395726
% 20.66/21.02 Kept: 72098
% 20.66/21.02 Inuse: 1095
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 412648
% 20.66/21.02 Kept: 74973
% 20.66/21.02 Inuse: 1130
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 436170
% 20.66/21.02 Kept: 77202
% 20.66/21.02 Inuse: 1165
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 456590
% 20.66/21.02 Kept: 79448
% 20.66/21.02 Inuse: 1185
% 20.66/21.02 Deleted: 1708
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying clauses:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 470997
% 20.66/21.02 Kept: 81645
% 20.66/21.02 Inuse: 1205
% 20.66/21.02 Deleted: 1977
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 493403
% 20.66/21.02 Kept: 84415
% 20.66/21.02 Inuse: 1225
% 20.66/21.02 Deleted: 1977
% 20.66/21.02 Deletedinuse: 40
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 508672
% 20.66/21.02 Kept: 86560
% 20.66/21.02 Inuse: 1253
% 20.66/21.02 Deleted: 1980
% 20.66/21.02 Deletedinuse: 41
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 524951
% 20.66/21.02 Kept: 89751
% 20.66/21.02 Inuse: 1279
% 20.66/21.02 Deleted: 1986
% 20.66/21.02 Deletedinuse: 43
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 535366
% 20.66/21.02 Kept: 92318
% 20.66/21.02 Inuse: 1299
% 20.66/21.02 Deleted: 1988
% 20.66/21.02 Deletedinuse: 45
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 554039
% 20.66/21.02 Kept: 96575
% 20.66/21.02 Inuse: 1309
% 20.66/21.02 Deleted: 1988
% 20.66/21.02 Deletedinuse: 45
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 573735
% 20.66/21.02 Kept: 98689
% 20.66/21.02 Inuse: 1337
% 20.66/21.02 Deleted: 1988
% 20.66/21.02 Deletedinuse: 45
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Intermediate Status:
% 20.66/21.02 Generated: 620431
% 20.66/21.02 Kept: 101324
% 20.66/21.02 Inuse: 1354
% 20.66/21.02 Deleted: 1988
% 20.66/21.02 Deletedinuse: 45
% 20.66/21.02
% 20.66/21.02 Resimplifying inuse:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02 Resimplifying clauses:
% 20.66/21.02 Done
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 Bliksems!, er is een bewijs:
% 20.66/21.02 % SZS status Unsatisfiable
% 20.66/21.02 % SZS output start Refutation
% 20.66/21.02
% 20.66/21.02 clause( 89, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.66/21.02 .
% 20.66/21.02 clause( 286, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.66/21.02 .
% 20.66/21.02 clause( 349, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.66/21.02 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 .
% 20.66/21.02 clause( 368, [ =( hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_fequal'(
% 20.66/21.02 X, Y ) ) ] )
% 20.66/21.02 .
% 20.66/21.02 clause( 394, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_fequal'( 'v_t',
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_fequal'( 'v_t',
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 20.66/21.02 .
% 20.66/21.02 clause( 102067, [] )
% 20.66/21.02 .
% 20.66/21.02
% 20.66/21.02
% 20.66/21.02 % SZS output end Refutation
% 20.66/21.02 found a proof!
% 20.66/21.02
% 20.66/21.02 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 20.66/21.02
% 20.66/21.02 initialclauses(
% 20.66/21.02 [ clause( 102069, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 20.66/21.02 hBOOL( 'c_in'( Y, T, X ) ) ) ] )
% 20.66/21.02 , clause( 102070, [ 'c_lessequals'( hAPP( X, Y ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 20.66/21.02 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102071, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , 'c_lessequals'( hAPP( Y, Z ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ), X )
% 20.66/21.02 , ~( hBOOL( 'c_in'( Z, T, U ) ) ) ] )
% 20.66/21.02 , clause( 102072, [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 20.66/21.02 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ] )
% 20.66/21.02 , clause( 102073, [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z
% 20.66/21.02 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 20.66/21.02 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102074, [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z
% 20.66/21.02 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 20.66/21.02 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102075, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 20.66/21.02 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 20.66/21.02 ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102076, [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 20.66/21.02 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 20.66/21.02 , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ] )
% 20.66/21.02 , clause( 102077, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 20.66/21.02 hAPP( 'c_Set_Oimage'( Z, T, Y ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( U, T ) ) ] )
% 20.66/21.02 , clause( 102078, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'(
% 20.66/21.02 Y, U, W ) ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, W, T ), U ), Z
% 20.66/21.02 , 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102079, [ ~( =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 20.66/21.02 ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ), Y
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102080, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X )
% 20.66/21.02 ), Y ), Z ), 'v_x' ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( Y, 'v_x' ) ),
% 20.66/21.02 hAPP( Z, 'v_x' ) ) ) ] )
% 20.66/21.02 , clause( 102081, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102082, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102083, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102084, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102085, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102086, [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~(
% 20.66/21.02 'c_Orderings_Oorder'( Z, X, T ) ) ] )
% 20.66/21.02 , clause( 102087, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 20.66/21.02 T, Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ] )
% 20.66/21.02 , clause( 102088, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Y ), Y ) ] )
% 20.66/21.02 , clause( 102089, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102090, [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 20.66/21.02 Z ), T ), Y, U ), hBOOL( 'c_in'( hAPP( X, Z ), hAPP( 'c_Set_Oimage'( X, Y
% 20.66/21.02 , U ), 'c_HOL_Ominus__class_Ominus'( T, hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 20.66/21.02 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ) ), U ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102091, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 20.66/21.02 , X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102092, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 20.66/21.02 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 20.66/21.02 , clause( 102093, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102094, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102095, [ ~( hBOOL( 'c_in'(
% 20.66/21.02 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1'(
% 20.66/21.02 X, Y ),
% 20.66/21.02 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2'(
% 20.66/21.02 X, Y ), Y ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102096, [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP(
% 20.66/21.02 Y, W ) ) ) ] )
% 20.66/21.02 , clause( 102097, [ ~( =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( 'c_Set_Oimage'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T, U,
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( U, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 20.66/21.02 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, X ) ),
% 20.66/21.02 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , T ), U ), Z, X ) ] )
% 20.66/21.02 , clause( 102098, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( 'c_Set_Oimage'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T, U,
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( U, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , T ), U ), Z, X ) ) ] )
% 20.66/21.02 , clause( 102099, [ =( 'c_HOL_Ominus__class_Ominus'(
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 20.66/21.02 Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102100, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 20.66/21.02 , T, X ) ) ), =( Y, Z ) ] )
% 20.66/21.02 , clause( 102101, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 20.66/21.02 , T, X ) ) ), =( Z, T ) ] )
% 20.66/21.02 , clause( 102102, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102103, [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~(
% 20.66/21.02 'c_Orderings_Olinorder'( Z, X, T ) ) ] )
% 20.66/21.02 , clause( 102104, [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP(
% 20.66/21.02 hAPP( Y, T ), T ) ) ) ] )
% 20.66/21.02 , clause( 102105, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 20.66/21.02 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102106, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 Y, Z, X ), ~( 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 20.66/21.02 ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool'
% 20.66/21.02 ) ) ) ] )
% 20.66/21.02 , clause( 102107, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 20.66/21.02 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ),
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102108, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102109, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102110, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102111, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102112, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102113, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102114, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ), T ), Y ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102115, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ), Y ), T ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102116, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 20.66/21.02 Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~(
% 20.66/21.02 'c_Fun_Oinj__on'( X, T, U, W ) ) ] )
% 20.66/21.02 , clause( 102117, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 20.66/21.02 Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T
% 20.66/21.02 , U, W ) ), =( Y, Z ) ] )
% 20.66/21.02 , clause( 102118, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 20.66/21.02 Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T
% 20.66/21.02 , U, W ) ), =( Y, Z ) ] )
% 20.66/21.02 , clause( 102119, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 20.66/21.02 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U )
% 20.66/21.02 ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ) ] )
% 20.66/21.02 , clause( 102120, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U,
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102121, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102122, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102123, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ),
% 20.66/21.02 ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102124, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 20.66/21.02 Y ) ), 'c_lessequals'( Y, Z, X ) ] )
% 20.66/21.02 , clause( 102125, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ),
% 20.66/21.02 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 20.66/21.02 , clause( 102126, [ 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102127, [ 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102128, [ 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102129, [ 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102130, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 X ), Y ), Z ), T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 20.66/21.02 Y, T, X ) ) ] )
% 20.66/21.02 , clause( 102131, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ] )
% 20.66/21.02 , clause( 102132, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ] )
% 20.66/21.02 , clause( 102133, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 X ), Y ), Z ), T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 20.66/21.02 Y, T, X ) ) ] )
% 20.66/21.02 , clause( 102134, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 X ), Y ), Z ), T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 20.66/21.02 Y, T, X ) ) ] )
% 20.66/21.02 , clause( 102135, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y )
% 20.66/21.02 , X ) ] )
% 20.66/21.02 , clause( 102136, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z )
% 20.66/21.02 , X ) ] )
% 20.66/21.02 , clause( 102137, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102138, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102139, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102140, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102141, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 20.66/21.02 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 20.66/21.02 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ] )
% 20.66/21.02 , clause( 102142, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ] )
% 20.66/21.02 , clause( 102143, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102144, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102145, [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL(
% 20.66/21.02 hAPP( hAPP( U, Z ), Y ) ) ), ~( 'c_Orderings_Oorder'( X, U, T ) ) ] )
% 20.66/21.02 , clause( 102146, [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL(
% 20.66/21.02 hAPP( Y, X ) ) ) ] )
% 20.66/21.02 , clause( 102147, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'(
% 20.66/21.02 X, Z ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102148, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 20.66/21.02 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 20.66/21.02 'c_in'( X, Y, T ) ) ) ] )
% 20.66/21.02 , clause( 102149, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 20.66/21.02 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 20.66/21.02 'c_in'( X, Y, T ) ) ) ] )
% 20.66/21.02 , clause( 102150, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP(
% 20.66/21.02 hAPP( 'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102151, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ),
% 20.66/21.02 hAPP( 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ),
% 20.66/21.02 U ) ), ~( hBOOL( 'c_in'( Z, U, T ) ) ) ] )
% 20.66/21.02 , clause( 102152, [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z
% 20.66/21.02 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ] )
% 20.66/21.02 , clause( 102153, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL(
% 20.66/21.02 'c_in'( T, X, Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z
% 20.66/21.02 ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102154, [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z
% 20.66/21.02 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ] )
% 20.66/21.02 , clause( 102155, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'(
% 20.66/21.02 Z, 'tc_bool' ) ) ), hBOOL( 'c_in'( T, X, Z ) ) ] )
% 20.66/21.02 , clause( 102156, [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ),
% 20.66/21.02 hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102157, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ] )
% 20.66/21.02 , clause( 102158, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ] )
% 20.66/21.02 , clause( 102159, [ hBOOL( 'c_in'( X,
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 20.66/21.02 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 20.66/21.02 hBOOL( 'c_in'( W, Y, T ) ) ) ] )
% 20.66/21.02 , clause( 102160, [ hBOOL( 'c_in'( X,
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 20.66/21.02 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 20.66/21.02 hBOOL( 'c_in'( W, Y, T ) ) ) ] )
% 20.66/21.02 , clause( 102161, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Z ),
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102162, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102163, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~(
% 20.66/21.02 'c_lessequals'( Y, 'c_Finite__Set_Ofold1'(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T, X ), X ) ), =( T,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( T, X ) ) ] )
% 20.66/21.02 , clause( 102164, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( W, X, U ) ) ) ] )
% 20.66/21.02 , clause( 102165, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 20.66/21.02 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102166, [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 20.66/21.02 , 'tc_fun'( T, 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102167, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , =( 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 X ), Y ), Z ), X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 20.66/21.02 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ] )
% 20.66/21.02 , clause( 102168, [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 20.66/21.02 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102169, [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), T ), Y ), hAPP( hAPP( X, Z ),
% 20.66/21.02 'c_Finite__Set_Ofold1'( X, T, Y ) ) ), hBOOL( 'c_in'( Z, T, Y ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( T, Y ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 20.66/21.02 , Y ) ) ] )
% 20.66/21.02 , clause( 102170, [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 20.66/21.02 'c_Set_Ovimage'( X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102171, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.66/21.02 , clause( 102172, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_Finite__Set_Ofun__left__comm__idem'(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ] )
% 20.66/21.02 , clause( 102173, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 20.66/21.02 , T ) ) ), =( Y, T ) ] )
% 20.66/21.02 , clause( 102174, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z
% 20.66/21.02 , T ) ) ), =( X, Z ) ] )
% 20.66/21.02 , clause( 102175, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , =( 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 X ), Y ), Z ), X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 20.66/21.02 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ] )
% 20.66/21.02 , clause( 102176, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 20.66/21.02 , clause( 102177, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 20.66/21.02 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 20.66/21.02 ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 20.66/21.02 , clause( 102178, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), 'c_SetInterval_Oord_OatLeastAtMost'( Y, Z, T, X ) ), hBOOL(
% 20.66/21.02 hAPP( hAPP( Y, Z ), T ) ), ~( 'c_Orderings_Oorder'( Y, U, X ) ) ] )
% 20.66/21.02 , clause( 102179, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), 'c_SetInterval_Oord_OatLeastAtMost'( Y, Z, T, X ) ) ), ~(
% 20.66/21.02 'c_Orderings_Oorder'( Y, U, X ) ), ~( hBOOL( hAPP( hAPP( Y, Z ), T ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102180, [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL(
% 20.66/21.02 'c_in'( Y, T, U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 20.66/21.02 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 20.66/21.02 , clause( 102181, [ ~( =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 20.66/21.02 T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool'
% 20.66/21.02 ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 20.66/21.02 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ] )
% 20.66/21.02 , clause( 102182, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102183, [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 20.66/21.02 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , T ), U ), Y, Z ) ), =( T, U ) ] )
% 20.66/21.02 , clause( 102184, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102185, [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool'
% 20.66/21.02 ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 20.66/21.02 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102186, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( Y, Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ] )
% 20.66/21.02 , clause( 102187, [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ), T ), U ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z )
% 20.66/21.02 , U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102188, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 20.66/21.02 , clause( 102189, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 20.66/21.02 , clause( 102190, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102191, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 20.66/21.02 Z, X ), ~( 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102192, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 20.66/21.02 Z, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102193, [ ~( =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102194, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102195, [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP(
% 20.66/21.02 hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ) ), ~(
% 20.66/21.02 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ] )
% 20.66/21.02 , clause( 102196, [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP(
% 20.66/21.02 hAPP( X, Z ), hAPP( hAPP( X, Y ), T ) ) ), ~(
% 20.66/21.02 'c_OrderedGroup_Oab__semigroup__mult'( X, U ) ) ] )
% 20.66/21.02 , clause( 102197, [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ),
% 20.66/21.02 ~( 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ] )
% 20.66/21.02 , clause( 102198, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ] )
% 20.66/21.02 , clause( 102199, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 20.66/21.02 hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 20.66/21.02 T, 'tc_bool' ) ), Z ), X ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102200, [ hBOOL( hAPP( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ] )
% 20.66/21.02 , clause( 102201, [ hBOOL( hAPP( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 20.66/21.02 , clause( 102202, [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~(
% 20.66/21.02 'c_Fun_Oinj__on'( X, Z, Y, Y ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'(
% 20.66/21.02 X, Y, Y ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 20.66/21.02 , clause( 102203, [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) )
% 20.66/21.02 , ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , T ), Y ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102204, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102205, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102206, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102207, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102208, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102209, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102210, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( Y, Z
% 20.66/21.02 , T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 20.66/21.02 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102211, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 20.66/21.02 Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 20.66/21.02 'c_in'( U, Y, T ) ) ) ] )
% 20.66/21.02 , clause( 102212, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , X ), Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102213, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), X ), Y ) ) ] )
% 20.66/21.02 , clause( 102214, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ] )
% 20.66/21.02 , clause( 102215, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ] )
% 20.66/21.02 , clause( 102216, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102217, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102218, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'(
% 20.66/21.02 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y,
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102219, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T
% 20.66/21.02 , Z ) ) ), ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102220, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ] )
% 20.66/21.02 , clause( 102221, [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP(
% 20.66/21.02 X, T ), T ) ) ] )
% 20.66/21.02 , clause( 102222, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102223, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ] )
% 20.66/21.02 , clause( 102224, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102225, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102226, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 20.66/21.02 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102227, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 20.66/21.02 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102228, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 20.66/21.02 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 20.66/21.02 , clause( 102229, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ] )
% 20.66/21.02 , clause( 102230, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), Y ) ] )
% 20.66/21.02 , clause( 102231, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ),
% 20.66/21.02 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 20.66/21.02 , clause( 102232, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 20.66/21.02 Z ) ), 'c_lessequals'( Y, Z, X ) ] )
% 20.66/21.02 , clause( 102233, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ),
% 20.66/21.02 ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102234, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102235, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102236, [ ~( =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), Z ) ), 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102237, [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z
% 20.66/21.02 ), T ), Z ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ] )
% 20.66/21.02 , clause( 102238, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U,
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102239, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.66/21.02 't_a', 'tc_bool' ) ), 'v_x' ), 'c_in'( 'v_x',
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102240, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102241, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP(
% 20.66/21.02 hAPP( X, Z ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102242, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP(
% 20.66/21.02 hAPP( T, Z ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102243, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T
% 20.66/21.02 , Z ), Y ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ] )
% 20.66/21.02 , clause( 102244, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X
% 20.66/21.02 , Z ), Y ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ] )
% 20.66/21.02 , clause( 102245, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T
% 20.66/21.02 , Z ), Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102246, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP(
% 20.66/21.02 hAPP( T, Z ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ] )
% 20.66/21.02 , clause( 102247, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T
% 20.66/21.02 , Z ), Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102248, [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~(
% 20.66/21.02 'c_Orderings_Olinorder'( Z, X, T ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102249, [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~(
% 20.66/21.02 'c_Orderings_Olinorder'( X, Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102250, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 20.66/21.02 'tc_bool' ) ), hAPP( T, Y ) ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 20.66/21.02 U, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102251, [ 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X
% 20.66/21.02 , Y, Z, T ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, W, T ), 'tc_fun'(
% 20.66/21.02 T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( X, Z ), W ) ) ), ~( hBOOL( hAPP(
% 20.66/21.02 hAPP( X, U ), Y ) ) ), ~( 'c_Orderings_Oorder'( X, V0, T ) ) ] )
% 20.66/21.02 , clause( 102252, [ 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X
% 20.66/21.02 , Y, Z, T ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, W, T ), 'tc_fun'(
% 20.66/21.02 T, 'tc_bool' ) ), hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~(
% 20.66/21.02 'c_Orderings_Oorder'( X, V0, T ) ) ] )
% 20.66/21.02 , clause( 102253, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 20.66/21.02 X, T ), Y ) ) ), ~( 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'(
% 20.66/21.02 X, T, Y, U ), 'c_SetInterval_Oord_OatLeastAtMost'( X, W, Z, U ), 'tc_fun'(
% 20.66/21.02 U, 'tc_bool' ) ) ), ~( 'c_Orderings_Oorder'( X, V0, U ) ) ] )
% 20.66/21.02 , clause( 102254, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 20.66/21.02 X, Z ), T ) ) ), ~( 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'(
% 20.66/21.02 X, Z, T, U ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, W, U ), 'tc_fun'(
% 20.66/21.02 U, 'tc_bool' ) ) ), ~( 'c_Orderings_Oorder'( X, V0, U ) ) ] )
% 20.66/21.02 , clause( 102255, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T
% 20.66/21.02 ), 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102256, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T
% 20.66/21.02 ), 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102257, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T
% 20.66/21.02 ), 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102258, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( 'c_Finite__Set_Ofold1'(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y, X ), Z, X ), ~(
% 20.66/21.02 hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 20.66/21.02 , clause( 102259, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , 'c_lessequals'( 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X )
% 20.66/21.02 , ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ] )
% 20.66/21.02 , clause( 102260, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), 'c_lessequals'(
% 20.66/21.02 Y, Z, X ) ] )
% 20.66/21.02 , clause( 102261, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 20.66/21.02 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102262, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ] )
% 20.66/21.02 , clause( 102263, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP(
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102264, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102265, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102266, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ] )
% 20.66/21.02 , clause( 102267, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ] )
% 20.66/21.02 , clause( 102268, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 X ), Y ), Z ), T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 20.66/21.02 , clause( 102269, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 X ), Y ), Z ), T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 20.66/21.02 , clause( 102270, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ] )
% 20.66/21.02 , clause( 102271, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ] )
% 20.66/21.02 , clause( 102272, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102273, [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U )
% 20.66/21.02 , Z ) ), ~( hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ] )
% 20.66/21.02 , clause( 102274, [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U )
% 20.66/21.02 , Z ) ), ~( hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ] )
% 20.66/21.02 , clause( 102275, [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U )
% 20.66/21.02 , Z ) ), ~( hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ] )
% 20.66/21.02 , clause( 102276, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'(
% 20.66/21.02 Y, hAPP( 'c_Set_Ovimage'( X, U, T ), Z ), U ) ) ) ] )
% 20.66/21.02 , clause( 102277, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'(
% 20.66/21.02 Y, hAPP( 'c_Set_Ovimage'( X, U, T ), Z ), U ) ) ) ] )
% 20.66/21.02 , clause( 102278, [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL(
% 20.66/21.02 'c_in'( T, Z, U ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W
% 20.66/21.02 , X, V0, V1, V2, V3, V4, U ) ) ] )
% 20.66/21.02 , clause( 102279, [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL(
% 20.66/21.02 'c_in'( Y, T, U ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z
% 20.66/21.02 , X, V0, V1, V2, V3, V4, U ) ) ] )
% 20.66/21.02 , clause( 102280, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y,
% 20.66/21.02 'c_SetInterval_Oord_OatLeastAtMost'( X, T, Z, U ), U ) ) ) ] )
% 20.66/21.02 , clause( 102281, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Z,
% 20.66/21.02 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, T, U ), U ) ) ) ] )
% 20.66/21.02 , clause( 102282, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102283, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102284, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102285, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), U ), U,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102286, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), U ), U,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102287, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102288, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102289, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102290, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 20.66/21.02 T, Y ), Z ) ) ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102291, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL(
% 20.66/21.02 hAPP( hAPP( T, Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102292, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL(
% 20.66/21.02 hAPP( hAPP( T, Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102293, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL(
% 20.66/21.02 hAPP( hAPP( T, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ] )
% 20.66/21.02 , clause( 102294, [ hBOOL( hAPP(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 20.66/21.02 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 20.66/21.02 'c_in'( W, X, Z ) ) ) ] )
% 20.66/21.02 , clause( 102295, [ hBOOL( hAPP(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 20.66/21.02 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 20.66/21.02 'c_in'( W, X, Z ) ) ) ] )
% 20.66/21.02 , clause( 102296, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102297, [ ~( =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 20.66/21.02 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Y, X ) ), ~(
% 20.66/21.02 'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =(
% 20.66/21.02 'c_Finite__Set_Ofold1'( T, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), X ), hAPP( hAPP( T, 'c_Finite__Set_Ofold1'( T, Y, X ) ),
% 20.66/21.02 'c_Finite__Set_Ofold1'( T, Z, X ) ) ) ] )
% 20.66/21.02 , clause( 102298, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 20.66/21.02 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 20.66/21.02 , clause( 102299, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ), Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102300, [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 20.66/21.02 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ] )
% 20.66/21.02 , clause( 102301, [ ~( hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X
% 20.66/21.02 , Z, T ), 'c_HOL_Ominus__class_Ominus'( U, hAPP( hAPP( 'c_Set_Oinsert'( Z
% 20.66/21.02 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ) ), T ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Z ), Y ), U ), Z, T ) ) ] )
% 20.66/21.02 , clause( 102302, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL(
% 20.66/21.02 hAPP( hAPP( T, X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ] )
% 20.66/21.02 , clause( 102303, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL(
% 20.66/21.02 hAPP( hAPP( T, X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ] )
% 20.66/21.02 , clause( 102304, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( Y, T, X ) ) ] )
% 20.66/21.02 , clause( 102305, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , T ), X ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102306, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , X ), T ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102307, [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y,
% 20.66/21.02 hAPP( 'c_Set_Oimage'( X, Z, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 20.66/21.02 , clause( 102308, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ), U ), Y ), Z, T ) ) ] )
% 20.66/21.02 , clause( 102309, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ), Y ), U ), Z, T ) ) ] )
% 20.66/21.02 , clause( 102310, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T
% 20.66/21.02 , X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y ), U ) ) ] )
% 20.66/21.02 , clause( 102311, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T
% 20.66/21.02 , X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y ), U ) ) ] )
% 20.66/21.02 , clause( 102312, [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z
% 20.66/21.02 , T ), U ), T ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ] )
% 20.66/21.02 , clause( 102313, [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z
% 20.66/21.02 , T ), U ), T ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ] )
% 20.66/21.02 , clause( 102314, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102315, [ 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102316, [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 20.66/21.02 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 20.66/21.02 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ] )
% 20.66/21.02 , clause( 102317, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_Finite__Set_Ofun__left__comm__idem'(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ] )
% 20.66/21.02 , clause( 102318, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ] )
% 20.66/21.02 , clause( 102319, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 20.66/21.02 , clause( 102320, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z
% 20.66/21.02 ), hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 20.66/21.02 , clause( 102321, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ] )
% 20.66/21.02 , clause( 102322, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ] )
% 20.66/21.02 , clause( 102323, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.66/21.02 , clause( 102324, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102325, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 20.66/21.02 , clause( 102326, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.66/21.02 , clause( 102327, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.66/21.02 , clause( 102328, [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102329, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102330, [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102331, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T
% 20.66/21.02 , U, W, V0, V1, V2, Z, Y ) ) ] )
% 20.66/21.02 , clause( 102332, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X
% 20.66/21.02 , U, W, V0, V1, Z, V2, Y ) ) ] )
% 20.66/21.02 , clause( 102333, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ] )
% 20.66/21.02 , clause( 102334, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102335, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102336, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102337, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102338, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102339, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102340, [ ~( =( 'c_Collect'( X, Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), ~( hBOOL(
% 20.66/21.02 hAPP( X, Z ) ) ) ] )
% 20.66/21.02 , clause( 102341, [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102342, [ =( 'c_HOL_Ominus__class_Ominus'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 20.66/21.02 ) ) ) ] )
% 20.66/21.02 , clause( 102343, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102344, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ), Y )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102345, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102346, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ), X ) ] )
% 20.66/21.02 , clause( 102347, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 20.66/21.02 , clause( 102348, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102349, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102350, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102351, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102352, [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102353, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 20.66/21.02 , clause( 102354, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102355, [ ~( =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 20.66/21.02 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102356, [ ~( =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 20.66/21.02 ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102357, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102358, [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Z ), T ), U ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), T )
% 20.66/21.02 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ), hAPP(
% 20.66/21.02 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ] )
% 20.66/21.02 , clause( 102359, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 20.66/21.02 , 'tc_bool' ) ) ), Z ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ) ] )
% 20.66/21.02 , clause( 102360, [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, hAPP(
% 20.66/21.02 'c_Set_Ovimage'( X, T, U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), T ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102361, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 20.66/21.02 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ), X ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102362, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102363, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ] )
% 20.66/21.02 , clause( 102364, [ 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 20.66/21.02 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102365, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 20.66/21.02 Y, X ) ] )
% 20.66/21.02 , clause( 102366, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 20.66/21.02 Z, X ) ] )
% 20.66/21.02 , clause( 102367, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), ~(
% 20.66/21.02 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102368, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), ~(
% 20.66/21.02 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102369, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), ~(
% 20.66/21.02 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102370, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 X ), Y ), Z ), Z, X ) ] )
% 20.66/21.02 , clause( 102371, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 X ), Y ), Z ), Y, X ) ] )
% 20.66/21.02 , clause( 102372, [ 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102373, [ 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102374, [ 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102375, [ 'c_lessequals'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102376, [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 20.66/21.02 hAPP( X, Y ), Z ) ), ~( 'c_Orderings_Oorder'( X, U, T ) ) ] )
% 20.66/21.02 , clause( 102377, [ ~( =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T )
% 20.66/21.02 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), ~(
% 20.66/21.02 'c_Orderings_Oorder'( X, U, T ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102378, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102379, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102380, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102381, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102382, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102383, [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X
% 20.66/21.02 , 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ] )
% 20.66/21.02 , clause( 102384, [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP(
% 20.66/21.02 'c_Set_Oimage'( T, U, Y ), W ) ), hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, T,
% 20.66/21.02 Y, Z, U ), U, Z ), W ) ) ] )
% 20.66/21.02 , clause( 102385, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102386, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102387, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102388, [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102389, [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP(
% 20.66/21.02 hAPP( X, Y ), Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102390, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 20.66/21.02 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 20.66/21.02 ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 20.66/21.02 , clause( 102391, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'(
% 20.66/21.02 X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Y ), ~( 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 20.66/21.02 , clause( 102392, [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 20.66/21.02 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102393, [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ] )
% 20.66/21.02 , clause( 102394, [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ] )
% 20.66/21.02 , clause( 102395, [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_COMBB'( X, Y
% 20.66/21.02 , Z, 'tc_fun'( T, T ), U ), U, T ), ~(
% 20.66/21.02 'c_Finite__Set_Ofun__left__comm__idem'( X, Z, T ) ) ] )
% 20.66/21.02 , clause( 102396, [ hBOOL( 'c_in'( X, 'c_SetInterval_Oord_OatLeastAtMost'(
% 20.66/21.02 Y, Z, T, U ), U ) ), ~( hBOOL( hAPP( hAPP( Y, X ), T ) ) ), ~( hBOOL(
% 20.66/21.02 hAPP( hAPP( Y, Z ), X ) ) ) ] )
% 20.66/21.02 , clause( 102397, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102398, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Y ), Y ) ] )
% 20.66/21.02 , clause( 102399, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102400, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102401, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 20.66/21.02 'c_lessequals'( Y, T, X ) ) ] )
% 20.66/21.02 , clause( 102402, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 20.66/21.02 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102403, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102404, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102405, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102406, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102407, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 20.66/21.02 , clause( 102408, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X )
% 20.66/21.02 ), Y ), Z ), 'v_x' ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( Y, 'v_x' ) ),
% 20.66/21.02 hAPP( Z, 'v_x' ) ) ) ] )
% 20.66/21.02 , clause( 102409, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 20.66/21.02 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102410, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102411, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z )
% 20.66/21.02 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102412, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z )
% 20.66/21.02 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102413, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102414, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y,
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ] )
% 20.66/21.02 , clause( 102415, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z )
% 20.66/21.02 ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102416, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102417, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 20.66/21.02 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102418, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U
% 20.66/21.02 , 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 20.66/21.02 , clause( 102419, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 20.66/21.02 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102420, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 20.66/21.02 Y, X ) ] )
% 20.66/21.02 , clause( 102421, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 Y, Y, X ) ] )
% 20.66/21.02 , clause( 102422, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102423, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X,
% 20.66/21.02 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 20.66/21.02 , clause( 102424, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X,
% 20.66/21.02 Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102425, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 20.66/21.02 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( U, X
% 20.66/21.02 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102426, [ 'c_lessequals'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 20.66/21.02 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102427, [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102428, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_lessequals'( Y, Z, X ) ] )
% 20.66/21.02 , clause( 102429, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 20.66/21.02 'c_lessequals'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102430, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102431, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~(
% 20.66/21.02 hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102432, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~(
% 20.66/21.02 hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102433, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~(
% 20.66/21.02 hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102434, [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 20.66/21.02 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_lessequals'( U, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( T
% 20.66/21.02 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102435, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 20.66/21.02 , clause( 102436, [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 20.66/21.02 'c_in'( X, Z, Y ) ) ) ] )
% 20.66/21.02 , clause( 102437, [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102438, [ =(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 20.66/21.02 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 20.66/21.02 'tc_fun'( U, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 20.66/21.02 U, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102439, [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 20.66/21.02 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102440, [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U )
% 20.66/21.02 ), ~( hBOOL( hAPP( T, hAPP( X, U ) ) ) ) ] )
% 20.66/21.02 , clause( 102441, [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ] )
% 20.66/21.02 , clause( 102442, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL(
% 20.66/21.02 hAPP( hAPP( Z, X ), Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ] )
% 20.66/21.02 , clause( 102443, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X
% 20.66/21.02 , Z ), Y ) ), =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102444, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL(
% 20.66/21.02 hAPP( hAPP( X, Z ), Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ] )
% 20.66/21.02 , clause( 102445, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL(
% 20.66/21.02 hAPP( hAPP( Z, Y ), X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ] )
% 20.66/21.02 , clause( 102446, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 20.66/21.02 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 20.66/21.02 , clause( 102447, [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 20.66/21.02 Z, Y ) ) ) ] )
% 20.66/21.02 , clause( 102448, [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 20.66/21.02 Z, Y ) ) ) ] )
% 20.66/21.02 , clause( 102449, [ hBOOL( hAPP( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( Y, T ) ) )
% 20.66/21.02 ] )
% 20.66/21.02 , clause( 102450, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 20.66/21.02 T, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' )
% 20.66/21.02 ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102451, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.66/21.02 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 20.66/21.02 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 20.66/21.02 , clause( 102452, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 20.66/21.02 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 20.66/21.02 ~( 'c_lessequals'( U, T, X ) ) ] )
% 20.66/21.02 , clause( 102453, [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 20.66/21.02 hAPP( 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102454, [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 20.66/21.02 'c_lessequals'( hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP(
% 20.66/21.02 'c_Set_Oimage'( T, Z, U ), Y ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102455, [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102456, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z
% 20.66/21.02 , X, Y, T ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T
% 20.66/21.02 ), X ), T ) ) ] )
% 20.66/21.02 , clause( 102457, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, 'c_COMBB'( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ), U ), U,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102458, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 Y, 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 20.66/21.02 Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ] )
% 20.66/21.02 , clause( 102459, [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 20.66/21.02 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 20.66/21.02 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ] )
% 20.66/21.02 , clause( 102460, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , 'c_lessequals'( Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X )
% 20.66/21.02 , ~( hBOOL( 'c_in'( Y, Z, X ) ) ) ] )
% 20.66/21.02 , clause( 102461, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102462, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 20.66/21.02 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 20.66/21.02 , clause( 102463, [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Y, Z ),
% 20.66/21.02 hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( 'c_Orderings_Oorder'( X, T, Z ) ) ] )
% 20.66/21.02 , clause( 102464, [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 20.66/21.02 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1'(
% 20.66/21.02 X, Y ) ),
% 20.66/21.02 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2'(
% 20.66/21.02 X, Y ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 20.66/21.02 ) ) ) ] )
% 20.66/21.02 , clause( 102465, [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ),
% 20.66/21.02 hAPP( hAPP( 'c_Set_Oinsert'( T ), hAPP( Y, X ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), Z ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102466, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 20.66/21.02 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 20.66/21.02 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z
% 20.66/21.02 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102467, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 20.66/21.02 'c_in'( Y, Z, X ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102468, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , =( 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102469, [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), =(
% 20.66/21.02 'c_Finite__Set_Ofold1'( T, hAPP( hAPP( 'c_Set_Oinsert'( U ), W ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), U ), W ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102470, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_SetInterval_Oord__class_OlessThan'( Y, X ), 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102471, [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z
% 20.66/21.02 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X,
% 20.66/21.02 hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102472, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 20.66/21.02 , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102473, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , =( 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102474, [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' )
% 20.66/21.02 ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102475, [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z )
% 20.66/21.02 , T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ] )
% 20.66/21.02 , clause( 102476, [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z )
% 20.66/21.02 , T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ] )
% 20.66/21.02 , clause( 102477, [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP(
% 20.66/21.02 X, T ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ] )
% 20.66/21.02 , clause( 102478, [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T )
% 20.66/21.02 ), hAPP( hAPP( U, Z ), hAPP( X, T ) ) ), ~(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102479, [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T )
% 20.66/21.02 ), hAPP( hAPP( U, Z ), hAPP( X, T ) ) ), ~(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102480, [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'(
% 20.66/21.02 X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102481, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X
% 20.66/21.02 ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ] )
% 20.66/21.02 , clause( 102482, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 20.66/21.02 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102483, [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z
% 20.66/21.02 ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102484, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102485, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102486, [ =( hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 20.66/21.02 , Z ), T ) ) ) ] )
% 20.66/21.02 , clause( 102487, [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z
% 20.66/21.02 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102488, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 20.66/21.02 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'(
% 20.66/21.02 Z, 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102489, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X
% 20.66/21.02 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ] )
% 20.66/21.02 , clause( 102490, [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X )
% 20.66/21.02 , Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102491, [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X )
% 20.66/21.02 , Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102492, [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X )
% 20.66/21.02 , Z ), Y ) ) ] )
% 20.66/21.02 , clause( 102493, [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'(
% 20.66/21.02 X ), X, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 20.66/21.02 , clause( 102494, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP(
% 20.66/21.02 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ),
% 20.66/21.02 hBOOL( 'c_in'( Y, Z, X ) ), =( Z, T ) ] )
% 20.66/21.02 , clause( 102495, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~(
% 20.66/21.02 hBOOL( 'c_in'( Y, Z, X ) ) ) ] )
% 20.66/21.02 , clause( 102496, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.66/21.02 'c_lessequals'( Y, T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 20.66/21.02 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ] )
% 20.66/21.02 , clause( 102497, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.66/21.02 'c_lessequals'( T, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 20.66/21.02 'tc_bool' ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 20.66/21.02 , clause( 102498, [ 'c_Hoare__Mirabelle_Ohoare__valids'( X, Y, Z ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ) ) ] )
% 20.66/21.02 , clause( 102499, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.66/21.02 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 20.66/21.02 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102500, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 20.66/21.02 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 20.66/21.02 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102501, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 20.66/21.02 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 20.66/21.02 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102502, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 20.66/21.02 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 20.66/21.02 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102503, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 20.66/21.02 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102504, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 20.66/21.02 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 20.66/21.02 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102505, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102506, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102507, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102508, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102509, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 20.66/21.02 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102510, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102511, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102512, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102513, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 20.66/21.02 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ] )
% 20.66/21.02 , clause( 102514, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 Y ), 'tc_bool' ) ) ), Y ) ] )
% 20.66/21.02 , clause( 102515, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 20.66/21.02 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 20.66/21.02 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 20.66/21.02 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 Y ), 'tc_bool' ) ) ), Y ) ) ] )
% 20.66/21.02 , clause( 102516, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.66/21.02 , clause( 102517, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , =( 'c_Complete__Lattice_OSup__class_OSup'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 20.66/21.02 , clause( 102518, [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102519, [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 20.66/21.02 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102520, [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X )
% 20.66/21.02 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102521, [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102522, [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102523, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , =( 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 20.66/21.02 ), Y ) ] )
% 20.66/21.02 , clause( 102524, [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 20.66/21.02 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 20.66/21.02 ) ) ) ] )
% 20.66/21.02 , clause( 102525, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102526, [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102527, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 20.66/21.02 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102528, [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102529, [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP(
% 20.66/21.02 hAPP( 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102530, [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP(
% 20.66/21.02 hAPP( 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 20.66/21.02 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102531, [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 20.66/21.02 ) ) ] )
% 20.66/21.02 , clause( 102532, [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 20.66/21.02 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 20.66/21.02 , 'tc_bool' ) ) ) ] )
% 20.66/21.02 , clause( 102533, [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z
% 20.66/21.02 , hAPP( hAPP( 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( T, 'tc_bool' ) ) ), T ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102534, [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 20.66/21.02 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 20.66/21.02 , Y ) ] )
% 20.66/21.02 , clause( 102535, [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP(
% 20.66/21.02 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 20.66/21.02 Y, 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y
% 20.66/21.02 ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X
% 20.66/21.02 ) ) ) ] )
% 20.66/21.02 , clause( 102536, [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 20.66/21.02 'tc_bool' ) ) ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102537, [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.02 'tc_bool' ) ) ), Y ), Z ) ] )
% 20.66/21.02 , clause( 102538, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 20.66/21.02 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 20.66/21.02 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 20.66/21.02 ) ] )
% 20.66/21.02 , clause( 102539, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 20.66/21.02 , 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102540, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 20.66/21.02 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102541, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 20.66/21.02 'c_in'( Y, Z, X ) ) ] )
% 20.66/21.02 , clause( 102542, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP(
% 20.66/21.02 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ]
% 20.66/21.02 )
% 20.66/21.02 , clause( 102543, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) )
% 20.66/21.02 , =( 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 20.66/21.02 ), Y ) ] )
% 20.66/21.02 , clause( 102544, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ] )
% 20.66/21.02 , clause( 102545, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( Z ) ), T ), Y ), Z ) ) ] )
% 20.66/21.02 , clause( 102546, [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z )
% 20.66/21.02 , Y ) ) ] )
% 20.66/21.02 , clause( 102547, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 20.66/21.02 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 20.66/21.02 , clause( 102548, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ] )
% 20.66/21.02 , clause( 102549, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ] )
% 20.66/21.02 , clause( 102550, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ] )
% 20.66/21.02 , clause( 102551, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ] )
% 20.66/21.02 , clause( 102552, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ] )
% 20.66/21.02 , clause( 102553, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'(
% 20.66/21.02 'tc_fun'( X, 'tc_bool' ) ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102554, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 Y ), 'tc_bool' ) ), Y ) ] )
% 20.66/21.02 , clause( 102555, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 20.66/21.02 hAPP( 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ] )
% 20.66/21.02 , clause( 102556, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 Z ) ) ] )
% 20.66/21.02 , clause( 102557, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 20.66/21.02 , clause( 102558, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 20.66/21.02 hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ) ) ] )
% 20.66/21.02 , clause( 102559, [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ) ) ] )
% 20.66/21.02 , clause( 102560, [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 20.66/21.02 'tc_bool' ) ) ) ) ), =( Y, Z ) ] )
% 20.66/21.02 , clause( 102561, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 20.66/21.02 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T
% 20.66/21.02 ), Y ) ) ] )
% 20.66/21.02 , clause( 102562, [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z )
% 20.66/21.02 , T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ] )
% 20.66/21.02 , clause( 102563, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 20.66/21.02 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'(
% 20.66/21.02 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 20.66/21.02 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.66/21.02 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.66/21.02 , clause( 102564, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'(
% 20.66/21.02 X, Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 20.66/21.02 , clause( 102565, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y )
% 20.66/21.02 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 20.66/21.02 , clause( 102566, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y )
% 20.66/21.02 ), ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 20.66/21.02 , clause( 102567, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) )
% 20.66/21.02 , ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 20.66/21.02 , clause( 102568, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) )
% 20.66/21.02 , ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 20.66/21.02 , clause( 102569, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) )
% 20.66/21.04 , ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 20.66/21.04 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 20.66/21.04 , clause( 102570, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 20.66/21.04 'class_Orderings_Opreorder'( Y ) ) ] )
% 20.66/21.04 , clause( 102571, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 20.66/21.04 'class_Lattices_Olattice'( Y ) ) ] )
% 20.66/21.04 , clause( 102572, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 20.66/21.04 'class_Orderings_Oorder'( Y ) ) ] )
% 20.66/21.04 , clause( 102573, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 20.66/21.04 'class_Orderings_Obot'( Y ) ) ] )
% 20.66/21.04 , clause( 102574, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 20.66/21.04 'class_HOL_Ominus'( Y ) ) ] )
% 20.66/21.04 , clause( 102575, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~(
% 20.66/21.04 'class_HOL_Oord'( Y ) ) ] )
% 20.66/21.04 , clause( 102576, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool'
% 20.66/21.04 ) ] )
% 20.66/21.04 , clause( 102577, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102578, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102579, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102580, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102581, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102582, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102583, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102584, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102585, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102586, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102587, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 20.66/21.04 , clause( 102588, [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ] )
% 20.66/21.04 , clause( 102589, [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) )
% 20.66/21.04 ] )
% 20.66/21.04 ] ).
% 20.66/21.04
% 20.66/21.04
% 20.66/21.04
% 20.66/21.04 subsumption(
% 20.66/21.04 clause( 89, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.66/21.04 , clause( 102171, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.66/21.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 20.66/21.04 )] ) ).
% 20.66/21.04
% 20.66/21.04
% 20.66/21.04 subsumption(
% 20.66/21.04 clause( 286, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.66/21.04 , clause( 102413, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.66/21.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 20.66/21.04 )] ) ).
% 20.66/21.04
% 20.66/21.04
% 20.66/21.04 subsumption(
% 20.66/21.04 clause( 349, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.66/21.04 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 20.66/21.04 'tc_bool' ) ) ) ] )
% 20.66/21.04 , clause( 102499, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.66/21.04 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 20.66/21.04 'tc_bool' ) ) ) ] )
% 20.66/21.04 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 20.66/21.04 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 20.66/21.04
% 20.66/21.04
% 20.66/21.04 paramod(
% 20.66/21.04 clause( 104056, [ =( 'c_fequal'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 20.66/21.04 X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ] )
% 20.66/21.04 , clause( 89, [ =( 'c_Collect'( X, Y ), X ) ] )
% 20.66/21.04 , 0, clause( 102518, [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), hAPP( hAPP(
% 20.66/21.04 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 20.66/21.04 'tc_bool' ) ) ) ) ] )
% 20.66/21.04 , 0, 1, substitution( 0, [ :=( X, 'c_fequal'( X, Y ) ), :=( Y, Y )] ),
% 20.66/21.04 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 20.66/21.04
% 20.66/21.04
% 20.66/21.04 eqswap(
% 20.66/21.04 clause( 104057, [ =( hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 20.66/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_fequal'(
% 20.66/21.04 X, Y ) ) ] )
% 20.66/21.04 , clause( 104056, [ =( 'c_fequal'( X, Y ), hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 20.66/21.04 , X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ]
% 20.66/21.04 )
% 20.66/21.04 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 20.66/21.04
% 20.66/21.04
% 20.66/21.04 subsumption(
% 20.66/21.04 clause( 368, [ =( hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 20.66/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_fequal'(
% 20.66/21.04 X, Y ) ) ] )
% 20.66/21.04 , clause( 104057, [ =( hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 20.66/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_fequal'(
% 20.66/21.04 X, Y ) ) ] )
% 20.66/21.04 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 20.66/21.04 )] ) ).
% 20.66/21.04
% 20.66/21.04
% 20.66/21.04 paramod(
% 20.66/21.04 clause( 106700, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 20.66/21.04 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 20.66/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.69/21.04 't_a' ), 'tc_bool' ) ) ), 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 20.69/21.04 , clause( 368, [ =( hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 20.69/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_fequal'(
% 20.69/21.04 X, Y ) ) ] )
% 20.69/21.04 , 0, clause( 102563, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 20.69/21.04 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 20.69/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.69/21.04 't_a' ), 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'(
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 20.69/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.69/21.04 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ] )
% 20.69/21.04 , 0, 13, substitution( 0, [ :=( X, 'v_t' ), :=( Y,
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )] ), substitution( 1, [] )).
% 20.69/21.04
% 20.69/21.04
% 20.69/21.04 paramod(
% 20.69/21.04 clause( 106701, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_fequal'( 'v_t'
% 20.69/21.04 , 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 20.69/21.04 , clause( 368, [ =( hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 20.69/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_fequal'(
% 20.69/21.04 X, Y ) ) ] )
% 20.69/21.04 , 0, clause( 106700, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP(
% 20.69/21.04 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 20.69/21.04 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 20.69/21.04 't_a' ), 'tc_bool' ) ) ), 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 20.69/21.04 , 0, 2, substitution( 0, [ :=( X, 'v_t' ), :=( Y,
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )] ), substitution( 1, [] )).
% 20.69/21.04
% 20.69/21.04
% 20.69/21.04 subsumption(
% 20.69/21.04 clause( 394, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 20.69/21.04 , clause( 106701, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_fequal'(
% 20.69/21.04 'v_t', 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 20.69/21.04 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 20.69/21.04
% 20.69/21.04
% 20.69/21.04 resolution(
% 20.69/21.04 clause( 106702, [ ~( 'c_lessequals'( 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_fun'(
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ) ] )
% 20.69/21.04 , clause( 394, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_fequal'( 'v_t'
% 20.69/21.04 , 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 20.69/21.04 , 0, clause( 349, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 20.69/21.04 'c_lessequals'( Y, X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ),
% 20.69/21.04 'tc_bool' ) ) ) ] )
% 20.69/21.04 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), :=( Y, 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), :=( Z, 't_a' )] )).
% 20.69/21.04
% 20.69/21.04
% 20.69/21.04 resolution(
% 20.69/21.04 clause( 106703, [] )
% 20.69/21.04 , clause( 106702, [ ~( 'c_lessequals'( 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'tc_fun'(
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ) ] )
% 20.69/21.04 , 0, clause( 286, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 20.69/21.04 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_fequal'( 'v_t',
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ) ), :=( Y,
% 20.69/21.04 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )] )).
% 20.69/21.04
% 20.69/21.04
% 20.69/21.04 subsumption(
% 20.69/21.04 clause( 102067, [] )
% 20.69/21.04 , clause( 106703, [] )
% 20.69/21.04 , substitution( 0, [] ), permutation( 0, [] ) ).
% 20.69/21.04
% 20.69/21.04
% 20.69/21.04 end.
% 20.69/21.04
% 20.69/21.04 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 20.69/21.04
% 20.69/21.04 Memory use:
% 20.69/21.04
% 20.69/21.04 space for terms: 3859609
% 20.69/21.04 space for clauses: 5262353
% 20.69/21.04
% 20.69/21.04
% 20.69/21.04 clauses generated: 628762
% 20.69/21.04 clauses kept: 102068
% 20.69/21.04 clauses selected: 1374
% 20.69/21.04 clauses deleted: 2307
% 20.69/21.04 clauses inuse deleted: 45
% 20.69/21.04
% 20.69/21.04 subsentry: 3173191
% 20.69/21.04 literals s-matched: 1726828
% 20.69/21.04 literals matched: 1586394
% 20.69/21.04 full subsumption: 792873
% 20.69/21.04
% 20.69/21.04 checksum: -45308518
% 20.69/21.04
% 20.69/21.04
% 20.69/21.04 Bliksem ended
%------------------------------------------------------------------------------