TSTP Solution File: SWV827-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV827-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:42 EDT 2022
% Result : Timeout 300.11s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV827-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 22:20:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.87/1.25 *** allocated 10000 integers for termspace/termends
% 0.87/1.25 *** allocated 10000 integers for clauses
% 0.87/1.25 *** allocated 10000 integers for justifications
% 0.87/1.25 *** allocated 15000 integers for termspace/termends
% 0.87/1.25 Bliksem 1.12
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Automatic Strategy Selection
% 0.87/1.25
% 0.87/1.25 Clauses:
% 0.87/1.25 [
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.87/1.25 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.87/1.25 [ =( 'c_COMBS'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), hAPP( Y, Z ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.87/1.25 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 0.87/1.25 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 0.87/1.25 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), U, X ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.87/1.25 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.87/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), U, X ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.25 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.25 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.87/1.25 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.25 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), Y ), Z ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ), Z ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.25 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.87/1.25 U, W ) ) ],
% 0.87/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.25 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.87/1.25 =( Y, Z ) ],
% 0.87/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.25 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.87/1.25 =( Y, Z ) ],
% 0.87/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.87/1.25 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.87/1.25 , U ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.87/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.87/1.25 X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.87/1.25 X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.87/1.25 ), hBOOL( 'c_in'( hAPP( X, Z ), 'c_Set_Oimage'( X,
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( T, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ), Y, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 0.87/1.25 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.87/1.25 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.87/1.25 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.87/1.25 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.87/1.25 , U ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.25 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.87/1.25 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.25 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.87/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.87/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.87/1.25 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.25 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.87/1.25 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( X, Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.87/1.25 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.87/1.25 , 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y,
% 0.87/1.25 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.87/1.25 , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.87/1.25 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.87/1.25 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.87/1.25 , T ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.87/1.25 , Z ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.87/1.25 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.87/1.25 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.87/1.25 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.87/1.25 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.87/1.25 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.87/1.25 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.87/1.25 ), X ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.87/1.25 , =( Z, W ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.87/1.25 , =( Y, U ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.87/1.25 , =( X, T ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.25 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 0.87/1.25 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.87/1.25 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.87/1.25 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.25 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.87/1.25 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.87/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.25 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.87/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.25 , T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.25 , T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.87/1.25 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y
% 0.87/1.25 , T, U, X ) ), 'c_Set_Oimage'( Y, T, U, X ) ), ~( hBOOL( 'c_in'( Z, T, U
% 0.87/1.25 ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.87/1.25 , Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 0.87/1.25 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 ), hBOOL( 'c_in'( T, X, Z ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X,
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X,
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.87/1.25 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.87/1.25 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.87/1.25 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.87/1.25 , V3, V4, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.87/1.25 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.87/1.25 , V3, V4, U ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.87/1.25 =( X, Z ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.87/1.25 =( Y, T ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.87/1.25 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 0.87/1.25 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.87/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.87/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.87/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.87/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.87/1.25 Y, X ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_Set_Oinsert'( T ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'( T
% 0.87/1.25 , 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( T ), Y ), Z ), T, U ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.87/1.25 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 0.87/1.25 ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.87/1.25 hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), X ), Y ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , X ), T ), Y ) ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.87/1.25 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.87/1.25 , Z ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , U ), Y ), Z, T ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , Y ), U ), Z, T ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.87/1.25 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.87/1.25 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.87/1.25 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.87/1.25 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.87/1.25 , V2, Z, Y ) ) ],
% 0.87/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.87/1.25 , Z, V2, Y ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.25 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), Y ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ) ), Y ), Y ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), X ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y, Z ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.25 ) ), Z, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( hBOOL(
% 0.87/1.25 'c_in'( Y, Z, X ) ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.87/1.25 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.87/1.25 'tc_bool' ) ), hAPP( T, Y ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.87/1.25 , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.87/1.25 Z, Y, X ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.25 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.25 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.87/1.25 ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.87/1.25 ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.87/1.25 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.87/1.25 , 'v_x' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.87/1.25 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.87/1.25 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 0.87/1.25 ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ), Y ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.87/1.25 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.87/1.25 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.87/1.25 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.87/1.25 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.87/1.25 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.87/1.25 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.25 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.87/1.25 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.87/1.25 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.87/1.25 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.87/1.25 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.87/1.25 'c_in'( X, Z, Y ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.87/1.25 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.87/1.25 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.87/1.25 , V4 ), W ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.25 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.87/1.25 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.87/1.25 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.25 Z, Y ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.25 Z, Y ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.87/1.25 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.25 [ =( 'c_Fun_Ocomp'( hAPP( X, Y ), hAPP( X, Y ), Z, Z, Z ), hAPP( X, Y )
% 0.87/1.25 ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, Z ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.25 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.87/1.25 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.25 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.25 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.25 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.87/1.25 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.87/1.25 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.87/1.25 'tc_bool' ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.87/1.25 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.25 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.25 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.25 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.87/1.25 Y, Z, X ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 0.87/1.25 ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 0.87/1.25 ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.87/1.25 , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.87/1.25 , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.87/1.25 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.87/1.25 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.87/1.25 ), hAPP( hAPP( 'c_Set_Oinsert'( U ), hAPP( X, Z ) ), 'c_Set_Oimage'( X,
% 0.87/1.25 T, Y, U ) ) ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.87/1.25 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.87/1.25 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 0.87/1.25 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.25 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'( X ), X,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 0.87/1.25 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 0.87/1.25 Y, Z, X ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.87/1.25 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.87/1.25 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.87/1.25 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X,
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.87/1.25 hAPP( X, Y ), Z ), T ) ) ],
% 0.87/1.25 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X,
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.87/1.25 hAPP( X, Y ), Z ), T ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.87/1.25 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.87/1.25 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.87/1.25 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.87/1.25 [ =( 'c_COMBS'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP(
% 0.87/1.25 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.87/1.25 [ =( 'c_COMBC'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP(
% 0.87/1.25 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 0.87/1.25 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.87/1.25 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.25 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.87/1.25 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 0.87/1.25 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.87/1.25 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 0.87/1.25 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.87/1.25 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 0.87/1.25 ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.87/1.25 , Y ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 0.87/1.25 ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 0.87/1.25 ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.87/1.25 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.87/1.25 ) ],
% 0.87/1.25 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.87/1.25 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.87/1.25 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.87/1.25 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 0.87/1.25 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 0.87/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.87/1.25 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.87/1.25 ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.87/1.25 'c_in'( Y, Z, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.87/1.25 , Y ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.87/1.25 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.87/1.25 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 0.87/1.25 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.87/1.25 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.87/1.25 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.87/1.25 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.25 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.25 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.87/1.25 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.87/1.25 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 0.87/1.25 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.25 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.87/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ), Y ) ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 0.87/1.25 hBOOL( hAPP( Z, T ) ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 'v_Q_H', 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ],
% 0.87/1.25 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 'v_Q', 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( 'v_Q', X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'v_Q_H', X
% 0.87/1.25 ), Y ) ) ) ],
% 0.87/1.25 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.87/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.25 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.87/1.25 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.87/1.25 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.87/1.25 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.25 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.25 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.25 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.25 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.25 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.87/1.25 Y ) ) ],
% 0.87/1.25 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.87/1.25 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.25 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.87/1.25 ] .
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 percentage equality = 0.309955, percentage horn = 0.916279
% 0.87/1.25 This is a problem with some equality
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Options Used:
% 0.87/1.25
% 0.87/1.25 useres = 1
% 0.87/1.25 useparamod = 1
% 0.87/1.25 useeqrefl = 1
% 0.87/1.25 useeqfact = 1
% 0.87/1.25 usefactor = 1
% 0.87/1.25 usesimpsplitting = 0
% 0.87/1.25 usesimpdemod = 5
% 0.87/1.25 usesimpres = 3
% 0.87/1.25
% 0.87/1.25 resimpinuse = 1000
% 0.87/1.25 resimpclauses = 20000
% 0.87/1.25 substype = eqrewr
% 0.87/1.25 backwardsubs = 1
% 0.87/1.25 selectoldest = 5
% 0.87/1.25
% 0.87/1.25 litorderings [0] = split
% 0.87/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.25
% 0.87/1.25 termordering = kbo
% 0.87/1.25
% 0.87/1.25 litapriori = 0
% 0.87/1.25 termapriori = 1
% 0.87/1.25 litaposteriori = 0
% 0.87/1.25 termaposteriori = 0
% 0.87/1.25 demodaposteriori = 0
% 0.87/1.25 ordereqreflfact = 0
% 0.87/1.25
% 0.87/1.25 litselect = negord
% 0.87/1.25
% 0.87/1.25 maxweight = 15
% 0.87/1.25 maxdepth = 30000
% 0.87/1.25 maxlength = 115
% 0.87/1.25 maxnrvars = 195
% 0.87/1.25 excuselevel = 1
% 0.87/1.25 increasemaxweight = 1
% 0.87/1.25
% 0.87/1.25 maxselected = 10000000
% 0.87/1.25 maxnrclauses = 10000000
% 0.87/1.25
% 0.87/1.25 showgenerated = 0
% 0.87/1.25 showkept = 0
% 0.87/1.25 showselected = 0
% 0.87/1.25 showdeleted = 0
% 0.87/1.25 showresimp = 1
% 0.87/1.25 showstatus = 2000
% 0.87/1.25
% 0.87/1.25 prologoutput = 1
% 0.87/1.25 nrgoals = 5000000
% 0.87/1.25 totalproof = 1
% 0.87/1.25
% 0.87/1.25 Symbols occurring in the translation:
% 0.87/1.25
% 0.87/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.25 . [1, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.87/1.25 ! [4, 1] (w:0, o:99, a:1, s:1, b:0),
% 0.87/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.25 hAPP [41, 2] (w:1, o:151, a:1, s:1, b:0),
% 0.87/1.25 hBOOL [42, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.87/1.25 'c_in' [44, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.87/1.25 'c_COMBB' [49, 5] (w:1, o:192, a:1, s:1, b:0),
% 0.87/1.25 'c_COMBC' [51, 6] (w:1, o:194, a:1, s:1, b:0),
% 0.87/1.25 'c_COMBI' [52, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.87/1.25 'c_COMBK' [53, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.87/1.25 'c_COMBS' [54, 6] (w:1, o:195, a:1, s:1, b:0),
% 0.87/1.25 'tc_bool' [55, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.87/1.25 'tc_fun' [56, 2] (w:1, o:152, a:1, s:1, b:0),
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf' [57, 1] (w:1, o:106, a:1
% 0.87/1.25 , s:1, b:0),
% 3.18/3.56 'c_HOL_Ominus__class_Ominus' [61, 3] (w:1, o:170, a:1, s:1, b:0),
% 3.18/3.56 'c_Set_Oimage' [62, 4] (w:1, o:179, a:1, s:1, b:0),
% 3.18/3.56 'c_Orderings_Obot__class_Obot' [63, 1] (w:1, o:107, a:1, s:1, b:0),
% 3.18/3.56 'c_Fun_Oinj__on' [64, 4] (w:1, o:180, a:1, s:1, b:0),
% 3.18/3.56 'c_Lattices_Oupper__semilattice__class_Osup' [65, 1] (w:1, o:108, a:1
% 3.18/3.56 , s:1, b:0),
% 3.18/3.56 'class_OrderedGroup_Oab__group__add' [66, 1] (w:1, o:109, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'class_Orderings_Olinorder' [71, 1] (w:1, o:110, a:1, s:1, b:0),
% 3.18/3.56 'c_Finite__Set_Olinorder__class_OMax' [73, 2] (w:1, o:153, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'c_lessequals' [75, 3] (w:1, o:171, a:1, s:1, b:0),
% 3.18/3.56 'c_Finite__Set_Ofinite' [76, 2] (w:1, o:154, a:1, s:1, b:0),
% 3.18/3.56 'c_SetInterval_Oord__class_OlessThan' [77, 2] (w:1, o:155, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'class_Lattices_Oupper__semilattice' [79, 1] (w:1, o:111, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'class_Lattices_Olattice' [81, 1] (w:1, o:112, a:1, s:1, b:0),
% 3.18/3.56 'class_Lattices_Olower__semilattice' [83, 1] (w:1, o:113, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'c_Com_Ocom_OSKIP' [86, 0] (w:1, o:38, a:1, s:1, b:0),
% 3.18/3.56 'c_Com_Ocom_OCond' [90, 3] (w:1, o:172, a:1, s:1, b:0),
% 3.18/3.56 'c_Collect' [91, 2] (w:1, o:156, a:1, s:1, b:0),
% 3.18/3.56 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [92, 4] (w:1
% 3.18/3.56 , o:181, a:1, s:1, b:0),
% 3.18/3.56 'c_Set_Oinsert' [93, 1] (w:1, o:114, a:1, s:1, b:0),
% 3.18/3.56 'class_Lattices_Odistrib__lattice' [94, 1] (w:1, o:115, a:1, s:1, b:0
% 3.18/3.56 ),
% 3.18/3.56 'c_Fun_Ocomp' [96, 5] (w:1, o:193, a:1, s:1, b:0),
% 3.18/3.56 't_a' [97, 0] (w:1, o:51, a:1, s:1, b:0),
% 3.18/3.56 'v_x' [98, 0] (w:1, o:52, a:1, s:1, b:0),
% 3.18/3.56 'c_Finite__Set_Ofold1' [99, 3] (w:1, o:173, a:1, s:1, b:0),
% 3.18/3.56 'c_Finite__Set_Ofold1Set' [100, 3] (w:1, o:174, a:1, s:1, b:0),
% 3.18/3.56 'c_The' [101, 2] (w:1, o:158, a:1, s:1, b:0),
% 3.18/3.56 'class_Complete__Lattice_Ocomplete__lattice' [102, 1] (w:1, o:116, a:
% 3.18/3.56 1, s:1, b:0),
% 3.18/3.56 'c_Com_Ocom_OWhile' [106, 2] (w:1, o:159, a:1, s:1, b:0),
% 3.18/3.56 'c_Complete__Lattice_OInf__class_OInf' [107, 2] (w:1, o:160, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'c_Finite__Set_Ofun__left__comm__idem' [108, 3] (w:1, o:175, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'c_Com_Ocom_OSemi' [111, 2] (w:1, o:161, a:1, s:1, b:0),
% 3.18/3.56 'c_Complete__Lattice_OSup__class_OSup' [112, 2] (w:1, o:162, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'class_Orderings_Oorder' [118, 1] (w:1, o:117, a:1, s:1, b:0),
% 3.18/3.56 'c_SetInterval_Oord__class_OatLeastAtMost' [119, 3] (w:1, o:176, a:1
% 3.18/3.56 , s:1, b:0),
% 3.18/3.56 'class_HOL_Ominus' [123, 1] (w:1, o:118, a:1, s:1, b:0),
% 3.18/3.56 'c_Complete__Lattice_Ocomplete__lattice' [132, 9] (w:1, o:198, a:1
% 3.18/3.56 , s:1, b:0),
% 3.18/3.56 'class_Finite__Set_Ofinite_Ofinite' [134, 1] (w:1, o:119, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'class_HOL_Oord' [136, 1] (w:1, o:120, a:1, s:1, b:0),
% 3.18/3.56 'class_Lattices_Obounded__lattice' [137, 1] (w:1, o:121, a:1, s:1, b:
% 3.18/3.56 0),
% 3.18/3.56 'class_Orderings_Obot' [138, 1] (w:1, o:122, a:1, s:1, b:0),
% 3.18/3.56 'c_Finite__Set_Olinorder__class_OMin' [140, 2] (w:1, o:163, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'class_Orderings_Opreorder' [143, 1] (w:1, o:123, a:1, s:1, b:0),
% 3.18/3.56 'c_fequal' [148, 2] (w:1, o:164, a:1, s:1, b:0),
% 3.18/3.56 'class_OrderedGroup_Opordered__ab__group__add' [149, 1] (w:1, o:124
% 3.18/3.56 , a:1, s:1, b:0),
% 3.18/3.56 't_b' [155, 0] (w:1, o:84, a:1, s:1, b:0),
% 3.18/3.56 'c_Hoare__Mirabelle_Otriple_Otriple' [156, 4] (w:1, o:182, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'c_Hoare__Mirabelle_Otriple_Otriple__case' [157, 4] (w:1, o:183, a:1
% 3.18/3.56 , s:1, b:0),
% 3.18/3.56 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [160, 4] (w:1, o:184, a:1
% 3.18/3.56 , s:1, b:0),
% 3.18/3.56 'v_P' [161, 0] (w:1, o:85, a:1, s:1, b:0),
% 3.18/3.56 'c_Hoare__Mirabelle_Ohoare__derivs' [163, 3] (w:1, o:177, a:1, s:1
% 3.18/3.56 , b:0),
% 3.18/3.56 'tc_Hoare__Mirabelle_Otriple' [165, 1] (w:1, o:125, a:1, s:1, b:0),
% 3.18/3.56 'v_Q' [166, 0] (w:1, o:86, a:1, s:1, b:0),
% 3.18/3.56 't_c' [167, 0] (w:1, o:87, a:1, s:1, b:0),
% 3.18/3.56 'v_R' [168, 0] (w:1, o:89, a:1, s:1, b:0),
% 3.18/3.56 'c_Not' [169, 0] (w:1, o:90, a:1, s:1, b:0),
% 3.18/3.56 'tc_Com_Ostate' [170, 0] (w:1, o:91, a:1, s:1, b:0),
% 3.18/3.56 'c_Hoare__Mirabelle_Opeek__and' [171, 3] (w:1, o:178, a:1, s:1, b:0)
% 3.18/3.56 ,
% 15.85/16.22 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [172, 2] (w:1, o:165, a:1
% 15.85/16.22 , s:1, b:0),
% 15.85/16.22 'c_Set_Ocontents' [173, 2] (w:1, o:157, a:1, s:1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [175, 6] (w:1
% 15.85/16.22 , o:196, a:1, s:1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [176, 4] (w:1
% 15.85/16.22 , o:186, a:1, s:1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xconseq12__3' [179, 4] (w:1, o:189, a:1, s:
% 15.85/16.22 1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xconseq12__2' [180, 4] (w:1, o:188, a:1, s:
% 15.85/16.22 1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [181, 6] (w:
% 15.85/16.22 1, o:197, a:1, s:1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [182, 4] (w:
% 15.85/16.22 1, o:191, a:1, s:1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [183, 4] (w:
% 15.85/16.22 1, o:190, a:1, s:1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [184, 4] (w:1
% 15.85/16.22 , o:185, a:1, s:1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xconseq12__1' [185, 4] (w:1, o:187, a:1, s:
% 15.85/16.22 1, b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xconseq1__1' [186, 2] (w:1, o:166, a:1, s:1
% 15.85/16.22 , b:0),
% 15.85/16.22 'v_sko__Hoare__Mirabelle__Xconseq1__2' [187, 2] (w:1, o:167, a:1, s:1
% 15.85/16.22 , b:0),
% 15.85/16.22 'v_G' [191, 0] (w:1, o:94, a:1, s:1, b:0),
% 15.85/16.22 'v_c' [192, 0] (w:1, o:95, a:1, s:1, b:0),
% 15.85/16.22 'v_Q_H' [193, 0] (w:1, o:88, a:1, s:1, b:0).
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Starting Search:
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 6034
% 15.85/16.22 Kept: 2065
% 15.85/16.22 Inuse: 172
% 15.85/16.22 Deleted: 3
% 15.85/16.22 Deletedinuse: 0
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 11718
% 15.85/16.22 Kept: 4080
% 15.85/16.22 Inuse: 228
% 15.85/16.22 Deleted: 7
% 15.85/16.22 Deletedinuse: 1
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 18941
% 15.85/16.22 Kept: 6109
% 15.85/16.22 Inuse: 296
% 15.85/16.22 Deleted: 12
% 15.85/16.22 Deletedinuse: 2
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 27425
% 15.85/16.22 Kept: 8112
% 15.85/16.22 Inuse: 331
% 15.85/16.22 Deleted: 14
% 15.85/16.22 Deletedinuse: 2
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 38356
% 15.85/16.22 Kept: 10380
% 15.85/16.22 Inuse: 366
% 15.85/16.22 Deleted: 14
% 15.85/16.22 Deletedinuse: 2
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 49267
% 15.85/16.22 Kept: 12945
% 15.85/16.22 Inuse: 401
% 15.85/16.22 Deleted: 16
% 15.85/16.22 Deletedinuse: 3
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 63055
% 15.85/16.22 Kept: 14993
% 15.85/16.22 Inuse: 423
% 15.85/16.22 Deleted: 17
% 15.85/16.22 Deletedinuse: 4
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 76345
% 15.85/16.22 Kept: 17026
% 15.85/16.22 Inuse: 478
% 15.85/16.22 Deleted: 20
% 15.85/16.22 Deletedinuse: 6
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 86704
% 15.85/16.22 Kept: 19048
% 15.85/16.22 Inuse: 512
% 15.85/16.22 Deleted: 25
% 15.85/16.22 Deletedinuse: 6
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying clauses:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 93417
% 15.85/16.22 Kept: 21069
% 15.85/16.22 Inuse: 526
% 15.85/16.22 Deleted: 229
% 15.85/16.22 Deletedinuse: 9
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 109266
% 15.85/16.22 Kept: 23136
% 15.85/16.22 Inuse: 556
% 15.85/16.22 Deleted: 229
% 15.85/16.22 Deletedinuse: 9
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 119671
% 15.85/16.22 Kept: 25144
% 15.85/16.22 Inuse: 587
% 15.85/16.22 Deleted: 229
% 15.85/16.22 Deletedinuse: 9
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 131902
% 15.85/16.22 Kept: 27278
% 15.85/16.22 Inuse: 621
% 15.85/16.22 Deleted: 229
% 15.85/16.22 Deletedinuse: 9
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 148001
% 15.85/16.22 Kept: 29421
% 15.85/16.22 Inuse: 681
% 15.85/16.22 Deleted: 229
% 15.85/16.22 Deletedinuse: 9
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 165878
% 15.85/16.22 Kept: 31436
% 15.85/16.22 Inuse: 741
% 15.85/16.22 Deleted: 230
% 15.85/16.22 Deletedinuse: 9
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 15.85/16.22 Generated: 179697
% 15.85/16.22 Kept: 33451
% 15.85/16.22 Inuse: 795
% 15.85/16.22 Deleted: 230
% 15.85/16.22 Deletedinuse: 9
% 15.85/16.22
% 15.85/16.22 Resimplifying inuse:
% 15.85/16.22 Done
% 15.85/16.22
% 15.85/16.22
% 15.85/16.22 Intermediate Status:
% 176.00/176.44 Generated: 193502
% 176.00/176.44 Kept: 35792
% 176.00/176.44 Inuse: 805
% 176.00/176.44 Deleted: 233
% 176.00/176.44 Deletedinuse: 12
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 202710
% 176.00/176.44 Kept: 37957
% 176.00/176.44 Inuse: 815
% 176.00/176.44 Deleted: 233
% 176.00/176.44 Deletedinuse: 12
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 213424
% 176.00/176.44 Kept: 40130
% 176.00/176.44 Inuse: 825
% 176.00/176.44 Deleted: 233
% 176.00/176.44 Deletedinuse: 12
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying clauses:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 230812
% 176.00/176.44 Kept: 42157
% 176.00/176.44 Inuse: 864
% 176.00/176.44 Deleted: 639
% 176.00/176.44 Deletedinuse: 12
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 246792
% 176.00/176.44 Kept: 44784
% 176.00/176.44 Inuse: 880
% 176.00/176.44 Deleted: 639
% 176.00/176.44 Deletedinuse: 12
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 258846
% 176.00/176.44 Kept: 46844
% 176.00/176.44 Inuse: 900
% 176.00/176.44 Deleted: 639
% 176.00/176.44 Deletedinuse: 12
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 293250
% 176.00/176.44 Kept: 50222
% 176.00/176.44 Inuse: 920
% 176.00/176.44 Deleted: 642
% 176.00/176.44 Deletedinuse: 14
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 306423
% 176.00/176.44 Kept: 52343
% 176.00/176.44 Inuse: 963
% 176.00/176.44 Deleted: 643
% 176.00/176.44 Deletedinuse: 14
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 318844
% 176.00/176.44 Kept: 54397
% 176.00/176.44 Inuse: 999
% 176.00/176.44 Deleted: 643
% 176.00/176.44 Deletedinuse: 14
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 340430
% 176.00/176.44 Kept: 56514
% 176.00/176.44 Inuse: 1033
% 176.00/176.44 Deleted: 644
% 176.00/176.44 Deletedinuse: 15
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 358432
% 176.00/176.44 Kept: 59425
% 176.00/176.44 Inuse: 1073
% 176.00/176.44 Deleted: 644
% 176.00/176.44 Deletedinuse: 15
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying clauses:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 373344
% 176.00/176.44 Kept: 61459
% 176.00/176.44 Inuse: 1118
% 176.00/176.44 Deleted: 919
% 176.00/176.44 Deletedinuse: 15
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 389465
% 176.00/176.44 Kept: 63870
% 176.00/176.44 Inuse: 1143
% 176.00/176.44 Deleted: 919
% 176.00/176.44 Deletedinuse: 15
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 404990
% 176.00/176.44 Kept: 66073
% 176.00/176.44 Inuse: 1183
% 176.00/176.44 Deleted: 919
% 176.00/176.44 Deletedinuse: 15
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 419185
% 176.00/176.44 Kept: 68075
% 176.00/176.44 Inuse: 1223
% 176.00/176.44 Deleted: 924
% 176.00/176.44 Deletedinuse: 17
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 426669
% 176.00/176.44 Kept: 70845
% 176.00/176.44 Inuse: 1234
% 176.00/176.44 Deleted: 927
% 176.00/176.44 Deletedinuse: 19
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 440011
% 176.00/176.44 Kept: 73387
% 176.00/176.44 Inuse: 1239
% 176.00/176.44 Deleted: 928
% 176.00/176.44 Deletedinuse: 20
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 455106
% 176.00/176.44 Kept: 75395
% 176.00/176.44 Inuse: 1277
% 176.00/176.44 Deleted: 928
% 176.00/176.44 Deletedinuse: 20
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 478287
% 176.00/176.44 Kept: 77408
% 176.00/176.44 Inuse: 1303
% 176.00/176.44 Deleted: 928
% 176.00/176.44 Deletedinuse: 20
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 504243
% 176.00/176.44 Kept: 79413
% 176.00/176.44 Inuse: 1346
% 176.00/176.44 Deleted: 932
% 176.00/176.44 Deletedinuse: 23
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 533556
% 176.00/176.44 Kept: 82190
% 176.00/176.44 Inuse: 1358
% 176.00/176.44 Deleted: 932
% 176.00/176.44 Deletedinuse: 23
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying clauses:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 563370
% 176.00/176.44 Kept: 86344
% 176.00/176.44 Inuse: 1368
% 176.00/176.44 Deleted: 1697
% 176.00/176.44 Deletedinuse: 24
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 578716
% 176.00/176.44 Kept: 88832
% 176.00/176.44 Inuse: 1369
% 176.00/176.44 Deleted: 1702
% 176.00/176.44 Deletedinuse: 29
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 593189
% 176.00/176.44 Kept: 90871
% 176.00/176.44 Inuse: 1421
% 176.00/176.44 Deleted: 1945
% 176.00/176.44 Deletedinuse: 272
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44 Resimplifying inuse:
% 176.00/176.44 Done
% 176.00/176.44
% 176.00/176.44
% 176.00/176.44 Intermediate Status:
% 176.00/176.44 Generated: 6Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------