TSTP Solution File: SCT013-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT013-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : Mon Jul 18 21:00:31 EDT 2022
% Result : Timeout 300.05s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SCT013-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 08:55:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.24 *** allocated 10000 integers for termspace/termends
% 0.87/1.24 *** allocated 10000 integers for clauses
% 0.87/1.24 *** allocated 10000 integers for justifications
% 0.87/1.24 *** allocated 15000 integers for termspace/termends
% 0.87/1.24 Bliksem 1.12
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Automatic Strategy Selection
% 0.87/1.24
% 0.87/1.24 Clauses:
% 0.87/1.24 [
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.87/1.24 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.87/1.24 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.87/1.24 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.87/1.24 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.87/1.24 [ =( 'c_Relation_OImage'( X,
% 0.87/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.24 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.24 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.87/1.24 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.24 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.24 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.24 'tc_bool' ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.87/1.24 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 0.87/1.24 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.24 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.87/1.24 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.87/1.24 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.87/1.24 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.24 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 0.87/1.24 , 'c_Equiv__Relations_Oquotient'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_in'( X ), Z ), T ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.87/1.24 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.87/1.24 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.87/1.24 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.87/1.24 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.87/1.24 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.24 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.87/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 0.87/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.87/1.24 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.87/1.24 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.87/1.24 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.24 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.87/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.24 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.24 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.24 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.24 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.24 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.24 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.24 'tc_bool' ) ) ) ],
% 0.87/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.24 Z, 'tc_bool' ) ) ) ],
% 0.87/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.87/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.24 'tc_bool' ) ), Y, Z ) ],
% 0.87/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.24 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.24 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.24 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.24 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.89/1.24 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.89/1.24 ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.24 Y, Z ) ) ],
% 0.89/1.24 [ =( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'(
% 0.89/1.24 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Z, X, Y, T ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, T ) )
% 0.89/1.24 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, 'tc_bool' ) ), X ),
% 0.89/1.24 'c_Equiv__Relations_Oquotient'( Z, Y, T ) ) ) ) ],
% 0.89/1.24 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.24 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.89/1.24 U ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.24 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.24 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ) ),
% 0.89/1.24 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.24 ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP(
% 0.89/1.24 hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.89/1.24 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z ),
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 0.89/1.24 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.24 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.89/1.24 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.24 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.24 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.24 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.24 , X ) ],
% 0.89/1.24 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.89/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.24 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.89/1.24 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.24 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.24 Z, Y ) ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.24 Y, X ) ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.24 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.89/1.24 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.24 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.24 ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.89/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.24 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.24 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.24 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.24 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.24 ],
% 0.89/1.24 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.24 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.89/1.24 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.89/1.24 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.24 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.24 X, T ), Y ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.89/1.24 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.24 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.24 ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.24 ) ],
% 0.89/1.24 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.89/1.24 ), X ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.24 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.24 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.89/1.24 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.24 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.89/1.24 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.89/1.24 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.89/1.24 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.24 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.89/1.24 ) ],
% 0.89/1.24 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.24 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.24 Z, X ) ) ) ],
% 0.89/1.24 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.89/1.24 X ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.24 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.24 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.24 , X ), X ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.24 ) ), Y ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.89/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.24 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.24 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.24 'c_Set_OPow'( Y, X ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.24 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.24 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.24 Z, Y ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.89/1.24 ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.89/1.24 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.89/1.24 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.89/1.24 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.89/1.24 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.89/1.24 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.89/1.24 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.89/1.24 ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.24 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.24 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.89/1.24 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.24 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.24 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.24 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.24 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.24 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.89/1.24 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.89/1.24 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.24 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.89/1.24 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.89/1.24 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.89/1.24 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.24 , X ), X ), X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.89/1.24 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.24 , X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.24 , X ), X ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 0.89/1.24 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.89/1.24 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 0.89/1.24 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.89/1.24 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.24 ) ), Z, X ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.24 , X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.24 , X ), X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.24 ) ) ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.24 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.24 'c_Collect'( T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.24 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.24 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.24 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.89/1.24 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 0.89/1.24 Z, T, U ), U, X ) ) ],
% 0.89/1.24 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.89/1.24 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.24 , 'tc_bool' ) ) ) ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( T,
% 0.89/1.24 Z, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.24 Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.24 ) ), T ), X ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.24 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.24 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( Z ), X ), Y ) ) ],
% 0.89/1.24 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.89/1.24 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.24 ), Y ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.24 ), Y ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.24 ), Y ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.24 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.89/1.24 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.24 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.24 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.89/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.89/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.89/1.24 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, U )
% 0.89/1.24 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.24 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.24 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.24 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.24 , Z ) ), T ) ), ~( hBOOL( hAPP( U,
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.24 , Z ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.24 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.24 , Z ) ), T ) ), ~( hBOOL( hAPP( X,
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.24 , Z ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.24 , ~( hBOOL( hAPP( X,
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.24 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.24 , Z ) ), T ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.24 , ~( hBOOL( hAPP( U,
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.24 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.24 , Z ) ), T ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.89/1.24 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.89/1.24 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.89/1.24 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.24 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.89/1.24 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL(
% 0.89/1.24 hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.89/1.24 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_SetInterval_Oord_OgreaterThanAtMost'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.89/1.24 hAPP( hAPP( Z, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.24 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.89/1.24 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~(
% 0.89/1.24 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 0.89/1.24 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.24 , 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.24 , Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.24 , Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.89/1.24 [ ~( =( hAPP( X, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X
% 0.89/1.24 , Z, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'(
% 0.89/1.24 Y, X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, U ) ),
% 0.89/1.24 Z ), 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( 'tc_fun'( T, U ) ), X ), 'c_FuncSet_Oextensional'( Y, T, U ) ) )
% 0.89/1.24 ), =( X, Z ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.24 , X ) ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.24 , X ) ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.89/1.24 Z ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.89/1.24 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.24 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.24 ), =( Z, Y ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.24 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.24 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.89/1.24 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.24 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( X ), U ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( X ), U ), Z ) ) ) ],
% 0.89/1.24 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.24 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.89/1.24 , U, V3, V4, T ) ) ],
% 0.89/1.24 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.24 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.89/1.24 V2, V3, V4, T ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.24 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.89/1.24 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 0.89/1.24 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.24 'c_in'( U ), V0 ), Y ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.24 Z, X ) ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.24 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.24 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.24 Y, X ) ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.24 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.24 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.89/1.24 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.89/1.24 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.89/1.24 ) ],
% 0.89/1.24 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.89/1.24 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.89/1.24 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.89/1.24 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X,
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.89/1.24 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.24 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.89/1.24 Y, 'v_x' ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.24 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T
% 0.89/1.24 , Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.24 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.24 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.24 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.24 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.89/1.24 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.89/1.24 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.89/1.24 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.89/1.24 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.24 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.89/1.24 , Z, V2, Y ) ) ],
% 0.89/1.24 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.24 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.89/1.24 , V2, Z, Y ) ) ],
% 0.89/1.24 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.89/1.24 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.24 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.24 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.89/1.24 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.24 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.89/1.25 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.89/1.25 , 'tc_bool' ) ), X ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.89/1.25 ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 0.89/1.25 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.89/1.25 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.89/1.25 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.89/1.25 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.89/1.25 , V4 ), W ) ) ],
% 0.89/1.25 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_OPow'( X, Y ),
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.89/1.25 X, T, U ), Z ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.89/1.25 hAPP( X, U ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.89/1.25 hAPP( X, T ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.25 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.25 , X ), X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.25 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.89/1.25 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.25 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.25 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.89/1.25 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.25 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( U, X, Y, W, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.25 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( X, U, W, Z, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( X,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.25 , Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.25 , Z ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( U,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.25 , Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.25 , Z ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.25 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.25 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.25 , Z ) ), T ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.25 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.89/1.25 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.89/1.25 , Z ) ), T ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( X,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.25 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.25 , X, Z ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( U,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.25 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.25 , U, Z ) ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.89/1.25 , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'(
% 0.89/1.25 Z, T, X ) ), Z ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.25 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.25 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.25 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.89/1.25 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.89/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.25 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.89/1.25 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.25 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.89/1.25 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.89/1.25 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.89/1.25 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.25 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.89/1.25 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL(
% 0.89/1.25 hAPP( Z, Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.25 'c_Collect'( X, Z ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z,
% 0.89/1.25 T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.25 ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.25 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.25 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.25 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.25 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.25 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.25 , X, Z ) ), T ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.25 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.25 , U, Z ) ), T ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.89/1.25 , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.25 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.89/1.25 ), X ), Y ) ), =( Y, T ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 0.89/1.25 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 0.89/1.25 hBOOL( hAPP( Z, T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.89/1.25 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.89/1.25 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'(
% 0.89/1.25 Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.25 ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X,
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.89/1.25 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.89/1.25 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.25 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.25 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 0.89/1.25 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.25 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.25 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.25 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.89/1.25 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.89/1.25 ), Z ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.89/1.25 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.89/1.25 ), Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 0.89/1.25 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( X ), T ), Y ) ) ) ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.89/1.25 , X ), Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 0.89/1.25 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.25 ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.89/1.25 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.89/1.25 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.25 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.89/1.25 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.89/1.25 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.25 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.25 ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.25 ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.89/1.25 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 0.89/1.25 ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 0.89/1.25 , Y ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.89/1.25 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.89/1.25 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.25 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.25 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ), T ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.25 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.25 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ), T ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.25 T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, Z ) ), X ),
% 0.89/1.25 'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.25 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.89/1.25 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.89/1.25 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.89/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.25 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( T, X, Y, Z, U ) ), T )
% 0.89/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, U ) ), Y ),
% 0.89/1.25 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.25 'tc_fun'( Z, U ) ), X ), 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.25 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.25 U, X ) ), Y ), 'c_FuncSet_OPi'( W, 'c_COMBK'( T, 'tc_fun'( X, 'tc_bool' )
% 0.89/1.25 , U ), U, X ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.25 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.89/1.25 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.89/1.25 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.25 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.25 , hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ), Z )
% 0.89/1.25 ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ), Z )
% 0.89/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.25 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Y, Z, T, X ) ), Y ) )
% 0.89/1.25 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 0.89/1.25 'c_Equiv__Relations_Oquotient'( Y, T, X ) ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( 'c_COMBC'(
% 0.89/1.25 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ),
% 0.89/1.25 hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.89/1.25 'tc_bool' ), Y ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP(
% 0.89/1.25 'c_in'( 't_a' ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 0.89/1.25 , Y, 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 'c_COMBC'(
% 0.89/1.25 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ),
% 0.89/1.25 hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.89/1.25 'tc_bool' ), Y ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP(
% 0.89/1.25 'c_in'( 't_a' ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.89/1.25 , Y, 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ =( 'c_Predicate_OPowp'( hAPP( 'c_COMBC'( 'c_in'( 't_a' ), 't_a',
% 0.89/1.25 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ), X ), 'v_x', 't_a' ), hAPP(
% 0.89/1.25 hAPP( 'c_in'( 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), 'c_Set_OPow'( X,
% 0.89/1.25 't_a' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.25 'c_Set_OPow'( Y, X ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.89/1.25 , 'v_x' ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.89/1.25 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.89/1.25 X, 'v_x' ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.25 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~(
% 0.89/1.25 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( T, 'tc_fun'( X
% 0.89/1.25 , 'tc_bool' ) ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.25 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.25 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.25 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ) ),
% 0.89/1.25 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.25 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.89/1.25 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' ),
% 0.89/1.25 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), X ), 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP(
% 0.89/1.25 hAPP( 'c_in'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 0.89/1.25 'c_Relation_Oconverse'( X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_OLin' )
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), 'c_Relation_Oconverse'( X,
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.25 , 'c_Arrow__Order__Mirabelle_OLin' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.25 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), X ),
% 0.89/1.25 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), 'v_L' ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.25 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.25 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'( 'v_L', 'v_x' ) ),
% 0.89/1.25 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.25 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.89/1.25 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.25 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.25 Y ) ) ],
% 0.89/1.25 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.89/1.25 ] .
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 percentage equality = 0.336957, percentage horn = 0.893204
% 0.89/1.25 This is a problem with some equality
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 Options Used:
% 0.89/1.25
% 0.89/1.25 useres = 1
% 0.89/1.25 useparamod = 1
% 0.89/1.25 useeqrefl = 1
% 0.89/1.25 useeqfact = 1
% 0.89/1.25 usefactor = 1
% 0.89/1.25 usesimpsplitting = 0
% 0.89/1.25 usesimpdemod = 5
% 0.89/1.25 usesimpres = 3
% 0.89/1.25
% 0.89/1.25 resimpinuse = 1000
% 0.89/1.25 resimpclauses = 20000
% 0.89/1.25 substype = eqrewr
% 0.89/1.25 backwardsubs = 1
% 0.89/1.25 selectoldest = 5
% 0.89/1.25
% 0.89/1.25 litorderings [0] = split
% 0.89/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.25
% 0.89/1.25 termordering = kbo
% 0.89/1.25
% 0.89/1.25 litapriori = 0
% 0.89/1.25 termapriori = 1
% 0.89/1.25 litaposteriori = 0
% 0.89/1.25 termaposteriori = 0
% 0.89/1.25 demodaposteriori = 0
% 0.89/1.25 ordereqreflfact = 0
% 0.89/1.25
% 0.89/1.25 litselect = negord
% 0.89/1.25
% 0.89/1.25 maxweight = 15
% 0.89/1.25 maxdepth = 30000
% 0.89/1.25 maxlength = 115
% 0.89/1.25 maxnrvars = 195
% 0.89/1.25 excuselevel = 1
% 0.89/1.25 increasemaxweight = 1
% 0.89/1.25
% 0.89/1.25 maxselected = 10000000
% 0.89/1.25 maxnrclauses = 10000000
% 0.89/1.25
% 0.89/1.25 showgenerated = 0
% 0.89/1.25 showkept = 0
% 0.89/1.25 showselected = 0
% 0.89/1.25 showdeleted = 0
% 0.89/1.25 showresimp = 1
% 0.89/1.25 showstatus = 2000
% 0.89/1.25
% 0.89/1.25 prologoutput = 1
% 0.89/1.25 nrgoals = 5000000
% 0.89/1.25 totalproof = 1
% 0.89/1.25
% 0.89/1.25 Symbols occurring in the translation:
% 0.89/1.25
% 0.89/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.25 . [1, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.89/1.25 ! [4, 1] (w:0, o:73, a:1, s:1, b:0),
% 0.89/1.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.25 'c_in' [40, 1] (w:1, o:78, a:1, s:1, b:0),
% 0.89/1.25 hAPP [42, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.89/1.25 'c_Relation_OImage' [46, 4] (w:1, o:158, a:1, s:1, b:0),
% 0.89/1.25 hBOOL [47, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.89/1.25 'tc_prod' [48, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.89/1.25 'c_Pair' [50, 4] (w:1, o:159, a:1, s:1, b:0),
% 0.89/1.25 'tc_bool' [54, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.89/1.25 'tc_fun' [55, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup' [56, 3] (w:1, o:137, a:1
% 0.89/1.25 , s:1, b:0),
% 0.89/1.25 'c_Orderings_Obot__class_Obot' [57, 1] (w:1, o:80, a:1, s:1, b:0),
% 3.19/3.54 'c_Set_Oinsert' [58, 3] (w:1, o:139, a:1, s:1, b:0),
% 3.19/3.54 'c_Equiv__Relations_Oquotient' [59, 3] (w:1, o:140, a:1, s:1, b:0),
% 3.19/3.54 'c_HOL_Ominus__class_Ominus' [61, 3] (w:1, o:141, a:1, s:1, b:0),
% 3.19/3.54 'c_Set_Oimage' [62, 4] (w:1, o:160, a:1, s:1, b:0),
% 3.19/3.54 'c_Lattices_Olower__semilattice__class_Oinf' [63, 3] (w:1, o:142, a:1
% 3.19/3.54 , s:1, b:0),
% 3.19/3.54 'c_Fun_Oinj__on' [64, 4] (w:1, o:161, a:1, s:1, b:0),
% 3.19/3.54 'class_OrderedGroup_Oab__group__add' [66, 1] (w:1, o:81, a:1, s:1, b:
% 3.19/3.54 0),
% 3.19/3.54 'c_HOL_Ouminus__class_Ouminus' [70, 2] (w:1, o:130, a:1, s:1, b:0),
% 3.19/3.54 'class_Lattices_Oboolean__algebra' [71, 1] (w:1, o:82, a:1, s:1, b:0)
% 3.19/3.54 ,
% 3.19/3.54 'class_Lattices_Oupper__semilattice' [73, 1] (w:1, o:83, a:1, s:1, b:
% 3.19/3.54 0),
% 3.19/3.54 'class_Lattices_Olattice' [75, 1] (w:1, o:84, a:1, s:1, b:0),
% 3.19/3.54 'class_Lattices_Olower__semilattice' [76, 1] (w:1, o:85, a:1, s:1, b:
% 3.19/3.54 0),
% 3.19/3.54 'c_COMBC' [80, 4] (w:1, o:162, a:1, s:1, b:0),
% 3.19/3.54 'c_Complete__Lattice_Ocomplete__lattice' [86, 9] (w:1, o:179, a:1, s:
% 3.19/3.54 1, b:0),
% 3.19/3.54 'c_List_Osko__Equiv__Relations__XquotientE__1__1' [88, 4] (w:1, o:163
% 3.19/3.54 , a:1, s:1, b:0),
% 3.19/3.54 'c_COMBK' [90, 3] (w:1, o:143, a:1, s:1, b:0),
% 3.19/3.54 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [93, 4] (w:1
% 3.19/3.54 , o:164, a:1, s:1, b:0),
% 3.19/3.54 'c_Fun_Oid' [94, 1] (w:1, o:86, a:1, s:1, b:0),
% 3.19/3.54 'tc_Arrow__Order__Mirabelle_Oalt' [95, 0] (w:1, o:49, a:1, s:1, b:0)
% 3.19/3.54 ,
% 3.19/3.54 'c_Arrow__Order__Mirabelle_Omkbot' [97, 2] (w:1, o:131, a:1, s:1, b:0
% 3.19/3.54 ),
% 3.19/3.54 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1' [98, 3] (w:1
% 3.19/3.54 , o:144, a:1, s:1, b:0),
% 3.19/3.54 'c_Complete__Lattice_OSup__class_OSup' [99, 2] (w:1, o:133, a:1, s:1
% 3.19/3.54 , b:0),
% 3.19/3.54 'class_Orderings_Oorder' [100, 1] (w:1, o:87, a:1, s:1, b:0),
% 3.19/3.54 'c_HOL_Oord__class_Oless' [101, 3] (w:1, o:145, a:1, s:1, b:0),
% 3.19/3.54 'class_Orderings_Opreorder' [102, 1] (w:1, o:88, a:1, s:1, b:0),
% 3.19/3.54 'c_Fun_Ocomp' [104, 5] (w:1, o:171, a:1, s:1, b:0),
% 3.19/3.54 'c_Collect' [105, 2] (w:1, o:132, a:1, s:1, b:0),
% 3.19/3.54 'class_Lattices_Odistrib__lattice' [106, 1] (w:1, o:89, a:1, s:1, b:0
% 3.19/3.54 ),
% 3.19/3.54 't_a' [107, 0] (w:1, o:53, a:1, s:1, b:0),
% 3.19/3.54 'v_x' [108, 0] (w:1, o:54, a:1, s:1, b:0),
% 3.19/3.54 'c_Complete__Lattice_OInf__class_OInf' [109, 2] (w:1, o:134, a:1, s:1
% 3.19/3.54 , b:0),
% 3.19/3.54 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1' [110, 3] (w:1
% 3.19/3.54 , o:146, a:1, s:1, b:0),
% 3.19/3.54 'class_Orderings_Obot' [112, 1] (w:1, o:90, a:1, s:1, b:0),
% 3.19/3.54 'class_Complete__Lattice_Ocomplete__lattice' [113, 1] (w:1, o:91, a:1
% 3.19/3.54 , s:1, b:0),
% 3.19/3.54 'c_Set_Ovimage' [114, 4] (w:1, o:165, a:1, s:1, b:0),
% 3.19/3.54 'class_Lattices_Obounded__lattice' [116, 1] (w:1, o:92, a:1, s:1, b:0
% 3.19/3.54 ),
% 3.19/3.54 'c_Relation_Oconverse' [120, 3] (w:1, o:138, a:1, s:1, b:0),
% 3.19/3.54 'class_OrderedGroup_Opordered__ab__group__add' [121, 1] (w:1, o:93
% 3.19/3.54 , a:1, s:1, b:0),
% 3.19/3.54 'c_Set_OPow' [122, 2] (w:1, o:135, a:1, s:1, b:0),
% 3.19/3.54 'c_Arrow__Order__Mirabelle_Omktop' [123, 2] (w:1, o:136, a:1, s:1, b:
% 3.19/3.54 0),
% 3.19/3.54 'class_HOL_Ominus' [125, 1] (w:1, o:94, a:1, s:1, b:0),
% 3.19/3.54 'c_fequal' [126, 1] (w:1, o:95, a:1, s:1, b:0),
% 3.19/3.54 'class_OrderedGroup_Olordered__ab__group__add' [127, 1] (w:1, o:96
% 3.19/3.54 , a:1, s:1, b:0),
% 3.19/3.54 'class_OrderedGroup_Ogroup__add' [129, 1] (w:1, o:97, a:1, s:1, b:0)
% 3.19/3.54 ,
% 3.19/3.54 'c_ATP__Linkup_Osko__Set__XbexCI__1__1' [130, 3] (w:1, o:147, a:1, s:
% 3.19/3.54 1, b:0),
% 3.19/3.54 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3' [132,
% 3.19/3.54 3] (w:1, o:148, a:1, s:1, b:0),
% 3.19/3.54 'c_SetInterval_Oord_OatLeastLessThan' [136, 5] (w:1, o:172, a:1, s:1
% 3.19/3.54 , b:0),
% 3.19/3.54 'c_SetInterval_Oord_OatLeastAtMost' [137, 4] (w:1, o:166, a:1, s:1
% 3.19/3.54 , b:0),
% 3.19/3.54 'c_SetInterval_Oord_OgreaterThanLessThan' [138, 4] (w:1, o:167, a:1
% 3.19/3.54 , s:1, b:0),
% 3.19/3.54 'c_SetInterval_Oord_OgreaterThanAtMost' [139, 5] (w:1, o:173, a:1, s:
% 3.19/3.54 1, b:0),
% 3.19/3.54 'c_ATP__Linkup_Osko__Set__XbexI__1__1' [140, 3] (w:1, o:149, a:1, s:1
% 3.19/3.54 , b:0),
% 3.19/3.54 'class_Orderings_Olinorder' [141, 1] (w:1, o:98, a:1, s:1, b:0),
% 3.19/3.54 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1' [142, 5] (w:1, o:
% 50.21/50.65 174, a:1, s:1, b:0),
% 50.21/50.65 'c_FuncSet_Oextensional' [143, 3] (w:1, o:150, a:1, s:1, b:0),
% 50.21/50.65 'class_Ring__and__Field_Oordered__idom' [144, 1] (w:1, o:99, a:1, s:1
% 50.21/50.65 , b:0),
% 50.21/50.65 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [146, 4] (w:1, o:168, a:1
% 50.21/50.65 , s:1, b:0),
% 50.21/50.65 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3' [147, 5] (w:1
% 50.21/50.65 , o:175, a:1, s:1, b:0),
% 50.21/50.65 'c_Fun_Ofcomp' [148, 5] (w:1, o:176, a:1, s:1, b:0),
% 50.21/50.65 'class_HOL_Ouminus' [151, 1] (w:1, o:100, a:1, s:1, b:0),
% 50.21/50.65 'c_ATP__Linkup_Osko__Set__XbexE__1__1' [157, 3] (w:1, o:151, a:1, s:1
% 50.21/50.65 , b:0),
% 50.21/50.65 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1' [160,
% 50.21/50.65 4] (w:1, o:169, a:1, s:1, b:0),
% 50.21/50.65 'c_ATP__Linkup_Osko__Set__XballE__1__1' [162, 3] (w:1, o:152, a:1, s:
% 50.21/50.65 1, b:0),
% 50.21/50.65 'c_SetInterval_Oord_OatMost' [164, 3] (w:1, o:153, a:1, s:1, b:0),
% 50.21/50.65 'c_SetInterval_Oord_OgreaterThan' [167, 3] (w:1, o:154, a:1, s:1, b:0
% 50.21/50.65 ),
% 50.21/50.65 'c_SetInterval_Oord_OlessThan' [168, 3] (w:1, o:155, a:1, s:1, b:0),
% 50.21/50.65
% 50.21/50.65 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1' [169, 3] (w:1, o:156, a:1
% 50.21/50.65 , s:1, b:0),
% 50.21/50.65 'c_FuncSet_OPi' [170, 4] (w:1, o:170, a:1, s:1, b:0),
% 50.21/50.65 'c_FuncSet_Osko__FuncSet__XPi__I__1__1' [171, 5] (w:1, o:177, a:1, s:
% 50.21/50.65 1, b:0),
% 50.21/50.65 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1' [172, 5] (w:1, o:178, a:1
% 50.21/50.65 , s:1, b:0),
% 50.21/50.65 'c_HOL_Oundefined' [173, 1] (w:1, o:101, a:1, s:1, b:0),
% 50.21/50.65 'c_Predicate_OPowp' [174, 3] (w:1, o:157, a:1, s:1, b:0),
% 50.21/50.65 'c_Arrow__Order__Mirabelle_OLin' [175, 0] (w:1, o:68, a:1, s:1, b:0)
% 50.21/50.65 ,
% 50.21/50.65 'v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1' [176, 0] (w:1, o:69
% 50.21/50.65 , a:1, s:1, b:0),
% 50.21/50.65 'v_L' [177, 0] (w:1, o:70, a:1, s:1, b:0).
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Starting Search:
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 12528
% 50.21/50.65 Kept: 2185
% 50.21/50.65 Inuse: 152
% 50.21/50.65 Deleted: 11
% 50.21/50.65 Deletedinuse: 2
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 27960
% 50.21/50.65 Kept: 4613
% 50.21/50.65 Inuse: 316
% 50.21/50.65 Deleted: 26
% 50.21/50.65 Deletedinuse: 4
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 39192
% 50.21/50.65 Kept: 6647
% 50.21/50.65 Inuse: 343
% 50.21/50.65 Deleted: 69
% 50.21/50.65 Deletedinuse: 6
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 57091
% 50.21/50.65 Kept: 8690
% 50.21/50.65 Inuse: 458
% 50.21/50.65 Deleted: 85
% 50.21/50.65 Deletedinuse: 7
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 66471
% 50.21/50.65 Kept: 10900
% 50.21/50.65 Inuse: 470
% 50.21/50.65 Deleted: 86
% 50.21/50.65 Deletedinuse: 7
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 80556
% 50.21/50.65 Kept: 13195
% 50.21/50.65 Inuse: 511
% 50.21/50.65 Deleted: 87
% 50.21/50.65 Deletedinuse: 7
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 93961
% 50.21/50.65 Kept: 15200
% 50.21/50.65 Inuse: 547
% 50.21/50.65 Deleted: 89
% 50.21/50.65 Deletedinuse: 8
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 106196
% 50.21/50.65 Kept: 17241
% 50.21/50.65 Inuse: 573
% 50.21/50.65 Deleted: 138
% 50.21/50.65 Deletedinuse: 10
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 123524
% 50.21/50.65 Kept: 19341
% 50.21/50.65 Inuse: 636
% 50.21/50.65 Deleted: 145
% 50.21/50.65 Deletedinuse: 10
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying clauses:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 139477
% 50.21/50.65 Kept: 21435
% 50.21/50.65 Inuse: 698
% 50.21/50.65 Deleted: 671
% 50.21/50.65 Deletedinuse: 10
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 155818
% 50.21/50.65 Kept: 24066
% 50.21/50.65 Inuse: 728
% 50.21/50.65 Deleted: 671
% 50.21/50.65 Deletedinuse: 10
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 180832
% 50.21/50.65 Kept: 27510
% 50.21/50.65 Inuse: 773
% 50.21/50.65 Deleted: 671
% 50.21/50.65 Deletedinuse: 10
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 206269
% 50.21/50.65 Kept: 30064
% 50.21/50.65 Inuse: 788
% 50.21/50.65 Deleted: 672
% 50.21/50.65 Deletedinuse: 11
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 50.21/50.65 Generated: 225228
% 50.21/50.65 Kept: 32436
% 50.21/50.65 Inuse: 798
% 50.21/50.65 Deleted: 672
% 50.21/50.65 Deletedinuse: 11
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65 Resimplifying inuse:
% 50.21/50.65 Done
% 50.21/50.65
% 50.21/50.65
% 50.21/50.65 Intermediate Status:
% 106.50/106.91 Generated: 246406
% 106.50/106.91 Kept: 34863
% 106.50/106.91 Inuse: 833
% 106.50/106.91 Deleted: 675
% 106.50/106.91 Deletedinuse: 14
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 259858
% 106.50/106.91 Kept: 37095
% 106.50/106.91 Inuse: 853
% 106.50/106.91 Deleted: 675
% 106.50/106.91 Deletedinuse: 14
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 275308
% 106.50/106.91 Kept: 39130
% 106.50/106.91 Inuse: 897
% 106.50/106.91 Deleted: 741
% 106.50/106.91 Deletedinuse: 79
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying clauses:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 289264
% 106.50/106.91 Kept: 41811
% 106.50/106.91 Inuse: 916
% 106.50/106.91 Deleted: 1512
% 106.50/106.91 Deletedinuse: 79
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 312790
% 106.50/106.91 Kept: 44475
% 106.50/106.91 Inuse: 946
% 106.50/106.91 Deleted: 1512
% 106.50/106.91 Deletedinuse: 79
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 335220
% 106.50/106.91 Kept: 46511
% 106.50/106.91 Inuse: 976
% 106.50/106.91 Deleted: 1513
% 106.50/106.91 Deletedinuse: 80
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 357830
% 106.50/106.91 Kept: 48515
% 106.50/106.91 Inuse: 1035
% 106.50/106.91 Deleted: 1516
% 106.50/106.91 Deletedinuse: 80
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 422476
% 106.50/106.91 Kept: 50519
% 106.50/106.91 Inuse: 1248
% 106.50/106.91 Deleted: 1630
% 106.50/106.91 Deletedinuse: 137
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 434688
% 106.50/106.91 Kept: 52561
% 106.50/106.91 Inuse: 1306
% 106.50/106.91 Deleted: 1645
% 106.50/106.91 Deletedinuse: 138
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 465381
% 106.50/106.91 Kept: 54571
% 106.50/106.91 Inuse: 1405
% 106.50/106.91 Deleted: 1676
% 106.50/106.91 Deletedinuse: 141
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 480421
% 106.50/106.91 Kept: 57401
% 106.50/106.91 Inuse: 1423
% 106.50/106.91 Deleted: 1685
% 106.50/106.91 Deletedinuse: 141
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 510291
% 106.50/106.91 Kept: 59402
% 106.50/106.91 Inuse: 1502
% 106.50/106.91 Deleted: 1699
% 106.50/106.91 Deletedinuse: 141
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying clauses:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 645563
% 106.50/106.91 Kept: 61431
% 106.50/106.91 Inuse: 1695
% 106.50/106.91 Deleted: 25339
% 106.50/106.91 Deletedinuse: 141
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 748066
% 106.50/106.91 Kept: 63431
% 106.50/106.91 Inuse: 1937
% 106.50/106.91 Deleted: 25339
% 106.50/106.91 Deletedinuse: 141
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 831324
% 106.50/106.91 Kept: 65793
% 106.50/106.91 Inuse: 2091
% 106.50/106.91 Deleted: 25339
% 106.50/106.91 Deletedinuse: 141
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 962267
% 106.50/106.91 Kept: 68391
% 106.50/106.91 Inuse: 2365
% 106.50/106.91 Deleted: 25349
% 106.50/106.91 Deletedinuse: 145
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 1088272
% 106.50/106.91 Kept: 70398
% 106.50/106.91 Inuse: 2563
% 106.50/106.91 Deleted: 25352
% 106.50/106.91 Deletedinuse: 147
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 1143258
% 106.50/106.91 Kept: 72400
% 106.50/106.91 Inuse: 2677
% 106.50/106.91 Deleted: 25356
% 106.50/106.91 Deletedinuse: 148
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 1294904
% 106.50/106.91 Kept: 74409
% 106.50/106.91 Inuse: 2907
% 106.50/106.91 Deleted: 25361
% 106.50/106.91 Deletedinuse: 152
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 1551243
% 106.50/106.91 Kept: 76412
% 106.50/106.91 Inuse: 3111
% 106.50/106.91 Deleted: 25365
% 106.50/106.91 Deletedinuse: 156
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 1713286
% 106.50/106.91 Kept: 78444
% 106.50/106.91 Inuse: 3262
% 106.50/106.91 Deleted: 25367
% 106.50/106.91 Deletedinuse: 156
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 2463842
% 106.50/106.91 Kept: 80463
% 106.50/106.91 Inuse: 3517
% 106.50/106.91 Deleted: 25397
% 106.50/106.91 Deletedinuse: 161
% 106.50/106.91
% 106.50/106.91 Resimplifying clauses:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91 Resimplifying inuse:
% 106.50/106.91 Done
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 2651203
% 106.50/106.91 Kept: 82466
% 106.50/106.91 Inuse: 3690
% 106.50/106.91 Deleted: 26069
% 106.50/106.91 Deletedinuse: 161
% 106.50/106.91
% 106.50/106.91
% 106.50/106.91 Intermediate Status:
% 106.50/106.91 Generated: 2716840
% 106.50/106.91 Kept: 84954
% 106.50/106.91 Inuse: 3702
% 106.50/106.91 Deleted: 26069
% 106.50/106.91 Deletedinuse: 161
% 106.50/106.91
% 106.50/106.91 ResimCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------