TSTP Solution File: SCT062-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT062-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:55 EDT 2022
% Result : Timeout 300.02s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT062-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 06:15:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.94/1.34 *** allocated 10000 integers for termspace/termends
% 0.94/1.34 *** allocated 10000 integers for clauses
% 0.94/1.34 *** allocated 10000 integers for justifications
% 0.94/1.34 *** allocated 15000 integers for termspace/termends
% 0.94/1.34 *** allocated 22500 integers for termspace/termends
% 0.94/1.34 Bliksem 1.12
% 0.94/1.34
% 0.94/1.34
% 0.94/1.34 Automatic Strategy Selection
% 0.94/1.34
% 0.94/1.34 Clauses:
% 0.94/1.34 [
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( =( 'c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1'( X, Y ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ),
% 0.94/1.34 'c_Wellfounded_Owf'( X, Y ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.94/1.34 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.94/1.34 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_Relation_OImage'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.34 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.34 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.94/1.34 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.94/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.94/1.34 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.34 , T, X ) ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.34 , T, X ) ) ), =( Z, T ) ],
% 0.94/1.34 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.94/1.34 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.94/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.94/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.94/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.94/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.94/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.94/1.34 Y, Z ) ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.34 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.94/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.34 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.94/1.34 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.94/1.34 , T ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.94/1.34 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.94/1.34 , T ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.94/1.34 , Z ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.94/1.34 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.34 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.94/1.34 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.94/1.34 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.94/1.34 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.94/1.34 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.94/1.34 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 , X ) ],
% 0.94/1.34 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.34 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.94/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.94/1.34 'c_in'( U, T, Z ) ) ],
% 0.94/1.34 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.94/1.34 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.94/1.34 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.94/1.34 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.94/1.34 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.94/1.34 ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.94/1.34 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.94/1.34 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.94/1.34 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.34 , X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.94/1.34 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.94/1.34 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.94/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.34 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.34 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.94/1.34 X, T ), Y ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.94/1.34 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.94/1.34 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.94/1.34 , Z, T ), Z ) ) ],
% 0.94/1.34 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.94/1.34 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.94/1.34 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.94/1.34 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.94/1.34 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34 ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.34 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.34 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.94/1.34 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.94/1.34 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.94/1.34 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.94/1.34 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.34 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.94/1.34 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.94/1.34 X, 'tc_bool' ) ), Y ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.94/1.34 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.94/1.34 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.94/1.34 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.94/1.34 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.94/1.34 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.94/1.34 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.94/1.34 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34 ) ), Y ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.94/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.94/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.94/1.34 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.94/1.34 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34 , X ) ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34 , X ) ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.94/1.34 Z ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.94/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.94/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 ],
% 0.94/1.34 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.94/1.34 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.94/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.94/1.34 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.34 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Relation_Orel__comp'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.34 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.94/1.34 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Relation_Orel__comp'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.34 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.94/1.34 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 T, Z, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 T, Z, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34 , X ), X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34 , X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34 , X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.94/1.34 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.94/1.34 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ), Z, X ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34 , X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.34 , X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.94/1.34 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.94/1.34 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.34 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.94/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.94/1.34 'c_in'( X, T, Z ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.34 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.94/1.34 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.94/1.34 Z, T ), T ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.94/1.34 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.94/1.34 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.94/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.94/1.34 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.94/1.34 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.94/1.34 U, W ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.94/1.34 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ), Y ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ), Y ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.94/1.34 ), Y ) ],
% 0.94/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.94/1.34 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.94/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.94/1.34 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.94/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.94/1.34 , T ) ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.94/1.34 , T ) ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.94/1.34 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.34 ), Y ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.34 ), Y ) ) ],
% 0.94/1.34 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.94/1.34 ), Y ) ) ],
% 0.94/1.34 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.94/1.34 , Z ) ) ],
% 0.94/1.34 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.34 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ), Z ), 'c_in'( X, Y, Z ) ],
% 0.94/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.34 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.94/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.94/1.34 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.94/1.34 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.94/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.94/1.34 , U ), U ) ],
% 0.94/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.94/1.34 , U ), U ) ],
% 0.94/1.34 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.94/1.34 , Z, T ) ) ],
% 0.94/1.34 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.94/1.34 , Z, T ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.94/1.34 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.94/1.34 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.94/1.34 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_Wellfounded_Oacyclic'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X
% 0.94/1.34 ), ~( 'c_Wellfounded_Oacyclic'( Y, X ) ) ],
% 0.94/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( hAPP(
% 0.94/1.34 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.94/1.34 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.94/1.34 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.34 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.94/1.34 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.94/1.34 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.34 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.94/1.34 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.94/1.34 Z ) ) ],
% 0.94/1.34 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.34 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.94/1.34 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.94/1.34 , Z ) ) ],
% 0.94/1.34 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.34 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.94/1.34 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.94/1.34 , X, 'tc_prod'( Z, Z ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.94/1.34 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.94/1.34 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.34 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_in'( 'c_Pair'(
% 0.94/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.94/1.34 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.34 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.34 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.94/1.34 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.94/1.34 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.94/1.34 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.94/1.34 'tc_bool' ) ), Y, X ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.94/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.94/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.94/1.34 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.34 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.94/1.35 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.94/1.35 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.94/1.35 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.35 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.94/1.35 , T, Z ) ) ],
% 0.94/1.35 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.94/1.35 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.94/1.35 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.35 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.35 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.94/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.94/1.35 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.35 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.35 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.94/1.35 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.35 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.94/1.35 , Z ) ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.94/1.35 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.94/1.35 'tc_bool' ) ), X ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.35 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.94/1.35 Y, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.35 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.35 T, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.94/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.35 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.94/1.35 Y, X ), Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.35 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.35 T, X ), Z, X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.35 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.35 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.35 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.35 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.35 T, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.35 Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.35 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.94/1.35 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.94/1.35 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.94/1.35 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.94/1.35 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.94/1.35 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.94/1.35 Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.35 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.35 T, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.94/1.35 hAPP( X, T ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.35 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.94/1.35 , X ), X ), X ) ) ],
% 0.94/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.94/1.35 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.94/1.35 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.35 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.94/1.35 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.94/1.35 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.94/1.35 'tc_bool' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.94/1.35 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.94/1.35 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.94/1.35 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.94/1.35 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.94/1.35 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.94/1.35 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.94/1.35 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.94/1.35 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.94/1.35 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.35 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.94/1.35 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.94/1.35 Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.94/1.35 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.94/1.35 T ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.94/1.35 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.94/1.35 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.94/1.35 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.94/1.35 U ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.94/1.35 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.94/1.35 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.35 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.35 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.94/1.35 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.35 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.94/1.35 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.94/1.35 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.94/1.35 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.94/1.35 , T ), T ) ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.94/1.35 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.94/1.35 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.94/1.35 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.94/1.35 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.94/1.35 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.94/1.35 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.94/1.35 , T ), T ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.35 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.35 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.35 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.35 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.94/1.35 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.94/1.35 'tc_bool' ) ), Z ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.35 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.35 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.94/1.35 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.35 hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ), Y ) ],
% 0.94/1.35 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.35 hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ), Y ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.35 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.35 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.35 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.35 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.94/1.35 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.94/1.35 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.94/1.35 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.94/1.35 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.94/1.35 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.35 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.94/1.35 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.94/1.35 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.94/1.35 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.94/1.35 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.94/1.35 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 0.94/1.35 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 0.94/1.35 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.35 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 0.94/1.35 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 0.94/1.35 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.94/1.35 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.94/1.35 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.94/1.35 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.94/1.35 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.94/1.35 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 0.94/1.35 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 0.94/1.35 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'(
% 0.94/1.35 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ),
% 0.94/1.35 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 0.94/1.35 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.94/1.35 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.94/1.35 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.94/1.35 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.94/1.35 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.94/1.35 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.94/1.35 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.94/1.35 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.94/1.35 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 0.94/1.35 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 0.94/1.35 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.94/1.35 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.94/1.35 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.35 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.94/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.94/1.35 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.94/1.35 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.94/1.35 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.94/1.35 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.94/1.35 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.94/1.35 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.94/1.35 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( X, Y ), 'c_lessequals'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1'( X, Y ),
% 0.94/1.35 'c_Relation_OImage'( X, 'c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1'(
% 0.94/1.35 X, Y ), Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.94/1.35 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.94/1.35 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.94/1.35 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.94/1.35 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ),
% 0.94/1.35 'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 0.94/1.35 'tc_bool' ) ), ~( 'c_lessequals'( hAPP( Y,
% 0.94/1.35 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.94/1.35 ), hAPP( W, 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X,
% 0.94/1.35 Y, W, Z, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.94/1.35 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.35 'c_Relation_OImage'( hAPP( 'c_Relation_Oconverse'( Z, T ), X ),
% 0.94/1.35 'c_HOL_Ouminus__class_Ouminus'( U, 'tc_fun'( T, 'tc_bool' ) ), T, Z ),
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( 'c_Relation_OImage'(
% 0.94/1.35 hAPP( 'c_Relation_Oconverse'( Y, Z ), T ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.94/1.35 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.94/1.35 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, X
% 0.94/1.35 , Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.94/1.35 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.94/1.35 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.94/1.35 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.94/1.35 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.94/1.35 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.35 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.94/1.35 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.35 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.94/1.35 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.35 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.94/1.35 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.94/1.35 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.94/1.35 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.94/1.35 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.35 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.35 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.35 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.94/1.35 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.94/1.35 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.94/1.35 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.35 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.94/1.35 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.94/1.35 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.35 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.94/1.35 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.94/1.35 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.94/1.35 hAPP( 'c_Relation_Oconverse'( 't_a', 't_b' ), 'v_r' ), 't_b', 't_a' ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.94/1.35 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.94/1.35 'tc_prod'( Y, Y ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.94/1.35 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.94/1.35 [ =( 'c_Relation_OImage'( X,
% 0.94/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.35 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.35 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.35 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( T, U ), X ), U, T ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.94/1.35 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.94/1.35 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.35 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.94/1.35 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.94/1.35 'tc_prod'( Y, Y ) ) ) ],
% 0.94/1.35 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.94/1.35 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.94/1.35 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.94/1.35 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.94/1.35 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.35 T, Z ) ) ],
% 0.94/1.35 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.94/1.35 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 0.94/1.35 V0, 'tc_prod'( T, U ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.94/1.35 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.94/1.35 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.94/1.35 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.94/1.35 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.94/1.35 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.94/1.35 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.94/1.35 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.94/1.35 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.94/1.35 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.94/1.35 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.94/1.35 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.94/1.35 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.94/1.35 ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.94/1.35 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.94/1.35 ), U ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.35 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.94/1.35 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.94/1.35 't_a' ), 't_a' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.35 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.94/1.35 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.94/1.35 't_a' ), 't_a' ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.94/1.35 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.94/1.35 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.94/1.35 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.94/1.35 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.94/1.35 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.94/1.35 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.94/1.35 'c_in'( W, Y, Z ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.35 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.94/1.35 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.94/1.35 ~( 'c_in'( W, T, U ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ),
% 0.94/1.35 'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 0.94/1.35 'tc_bool' ) ), 'c_in'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.94/1.35 , X, Z ), ~( 'c_lessequals'( X, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.94/1.35 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.94/1.35 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.94/1.35 Z, T ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.35 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.94/1.35 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.94/1.35 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.35 Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.94/1.35 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.94/1.35 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.94/1.35 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Y, Y ), X ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y
% 0.94/1.35 , Y ), 'tc_bool' ) ), ~( 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.94/1.35 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.94/1.35 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.94/1.35 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.94/1.35 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.94/1.35 ) ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.35 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.94/1.35 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.94/1.35 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.94/1.35 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.94/1.35 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.94/1.35 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.94/1.35 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.94/1.35 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.94/1.35 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.94/1.35 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.94/1.35 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.94/1.35 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.94/1.35 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.35 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.94/1.35 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.94/1.35 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.94/1.35 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.94/1.35 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.35 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.94/1.35 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.35 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.94/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.94/1.35 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.94/1.35 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'(
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.94/1.35 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.94/1.35 T ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.94/1.35 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.94/1.35 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.94/1.35 ), 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_lessequals'( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'(
% 0.94/1.35 X, X ), Y ), Y, X, X, X ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) )
% 0.94/1.35 , ~( 'c_Relation_Otrans'( Y, X ) ), ~( 'c_Relation_Osym'( Y, X ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X1__1'( W, Z
% 0.94/1.35 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( W, 'v_sko__local__X1__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X1__1'( W, Z
% 0.94/1.35 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( W, 'v_sko__local__X1__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X2__1'( W, Z
% 0.94/1.35 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( W, 'v_sko__local__X2__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__local__X2__1'( Z, W
% 0.94/1.35 , X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( Z, 'v_sko__local__X2__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X2__1'( W, Z
% 0.94/1.35 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( W, 'v_sko__local__X2__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__local__X2__1'( Z, W
% 0.94/1.35 , X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( Z, 'v_sko__local__X2__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( T ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X3__1'( T, Z
% 0.94/1.35 , Y, X ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( Y, X,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( T, 'v_sko__local__X3__1'( T, Z, Y, X ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( Y, X ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( T ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 'v_sko__local__X3__1'( Z, T
% 0.94/1.35 , X, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( Z, 'v_sko__local__X3__1'( Z, T, X, Y ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( X, Y ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( T ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X3__1'( T, Z
% 0.94/1.35 , Y, X ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( Y, X,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( T, 'v_sko__local__X3__1'( T, Z, Y, X ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( Y, X ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( T ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 'v_sko__local__X3__1'( Z, T
% 0.94/1.35 , X, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( Z, 'v_sko__local__X3__1'( Z, T, X, Y ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.35 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ), =( X, Y ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.94/1.35 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.94/1.35 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.94/1.35 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.94/1.35 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Osym'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ), ~(
% 0.94/1.35 'c_Relation_Osym'( Y, X ) ) ],
% 0.94/1.35 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X, hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Z, Z ), Y ), Z ) ) ],
% 0.94/1.35 [ 'c_Relation_Orefl__on'( X, hAPP( 'c_Relation_Oconverse'( Y, Y ), Z ),
% 0.94/1.35 Y ), ~( 'c_Relation_Orefl__on'( X, Z, Y ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ), ~(
% 0.94/1.35 'c_Relation_Osym'( Y, X ) ) ],
% 0.94/1.35 [ ~( =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ) ),
% 0.94/1.35 'c_Relation_Osym'( Y, X ) ],
% 0.94/1.35 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), 'c_Relation_Orel__comp'( Z, T
% 0.94/1.35 , X, U, Y ) ), 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( U,
% 0.94/1.35 Y ), T ), hAPP( 'c_Relation_Oconverse'( X, U ), Z ), Y, U, X ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ),
% 0.94/1.35 ~( 'c_Relation_Otrans'( Y, X ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId'( X ) ),
% 0.94/1.35 'c_Relation_OId'( X ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_Oinv__image'( Y,
% 0.94/1.35 Z, T, X ) ), 'c_Relation_Oinv__image'( hAPP( 'c_Relation_Oconverse'( T, T
% 0.94/1.35 ), Y ), Z, T, X ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Otrancl'( hAPP( 'c_Relation_Oconverse'( X, X
% 0.94/1.35 ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId__on'( Y, X )
% 0.94/1.35 ), 'c_Relation_OId__on'( Y, X ) ) ],
% 0.94/1.35 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Oantisym'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X )
% 0.94/1.35 , ~( 'c_Relation_Oantisym'( Y, X ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( X,
% 0.94/1.35 X ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ) ],
% 0.94/1.35 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.94/1.35 hAPP( 'c_Relation_Oconverse'( Z, Z ), Y ), Z ) ) ],
% 0.94/1.35 [ 'c_Relation_Ototal__on'( X, hAPP( 'c_Relation_Oconverse'( Y, Y ), Z )
% 0.94/1.35 , Y ), ~( 'c_Relation_Ototal__on'( X, Z, Y ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.94/1.35 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.94/1.35 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.94/1.35 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.94/1.35 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.35 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.94/1.35 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.94/1.35 X, U ), W ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.94/1.35 X, U ), W ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.94/1.35 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.94/1.35 , T ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'v_P_H____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.35 Y, Z ) ) ],
% 0.94/1.35 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.94/1.35 'c_Relation_Osym'( X, Y ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.94/1.35 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.35 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.94/1.35 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.94/1.35 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.35 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( Y, X ) ), X ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.35 hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ) ) ],
% 0.94/1.35 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.94/1.35 'c_Relation_Osym'( X, Y ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.94/1.35 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.35 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.94/1.35 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.94/1.35 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.94/1.35 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.94/1.35 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.35 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.94/1.35 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.35 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.35 X, Y ), X, Y, Y, Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.94/1.35 'c_Relation_Osym'( X, Z ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.35 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.94/1.35 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.35 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.94/1.35 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.94/1.35 'c_Relation_Otrans'( X, Z ) ) ],
% 0.94/1.35 [ ~( =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( X, X ), Y
% 0.94/1.35 ), Y, X, X, X ), Y ) ), 'c_Equiv__Relations_Oequiv'(
% 0.94/1.35 'c_Relation_ODomain'( Y, X, X ), Y, X ) ],
% 0.94/1.35 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.94/1.35 [ =( 'c_Relation_ORange'( hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), Y,
% 0.94/1.35 X ), 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.94/1.35 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.94/1.35 ],
% 0.94/1.35 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.94/1.35 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.94/1.35 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.94/1.35 [ =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( X, X ), Y )
% 0.94/1.35 , Y, X, X, X ), Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, Y, X ) ) ],
% 0.94/1.35 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.94/1.35 Y, Z ) ) ],
% 0.94/1.35 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.94/1.35 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.94/1.35 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.94/1.35 [ =( 'c_Relation_ODomain'( hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), Y
% 0.94/1.35 , X ), 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.94/1.35 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.94/1.35 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Y, Z ), X ), Z, Y ) ) ],
% 0.94/1.35 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.94/1.35 ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.35 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.35 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.35 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.35 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.94/1.35 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X,
% 0.94/1.35 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.94/1.35 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.94/1.35 Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.94/1.35 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.94/1.35 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.94/1.35 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.94/1.35 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.94/1.35 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XconverseE__1__1'( X
% 0.94/1.35 , Y, Z, T ), 'c_ATP__Linkup_Osko__Relation__XconverseE__1__2'( X, Y, Z, T
% 0.94/1.35 ), Z, T ), X, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Z, T ), X ), 'tc_prod'( T, Z ) ) ) ],
% 0.94/1.35 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XconverseE__1__2'( Y, X
% 0.94/1.35 , Z, T ), 'c_ATP__Linkup_Osko__Relation__XconverseE__1__1'( Y, X, Z, T )
% 0.94/1.35 , T, Z ) ), ~( 'c_in'( X, hAPP( 'c_Relation_Oconverse'( Z, T ), Y ),
% 0.94/1.35 'tc_prod'( T, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 0.94/1.35 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.94/1.35 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.94/1.35 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.94/1.35 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.94/1.35 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.94/1.35 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U
% 0.94/1.35 ), X, 'tc_prod'( T, U ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~(
% 0.94/1.35 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.94/1.35 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.94/1.35 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.94/1.35 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.94/1.35 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.94/1.35 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.94/1.35 Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.94/1.35 , 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.94/1.35 ), 'tc_prod'( Y, Y ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.94/1.35 ), 'tc_prod'( Y, Y ) ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.35 T, Z ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.35 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.94/1.35 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.94/1.35 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.94/1.35 ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.94/1.35 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.94/1.35 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.94/1.35 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.94/1.35 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.94/1.35 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.94/1.35 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.94/1.35 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.94/1.35 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.94/1.35 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.94/1.35 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.94/1.35 , Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.94/1.35 , Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.94/1.35 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.94/1.35 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.94/1.35 Z, V0 ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.94/1.35 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.35 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.94/1.35 ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.35 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.35 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.35 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.35 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.35 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.35 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.35 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.35 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.35 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.35 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.35 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.35 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.35 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.35 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.35 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.94/1.35 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.35 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.35 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , =( X, Y ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.94/1.35 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.94/1.35 , Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.94/1.35 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.94/1.35 , Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.94/1.35 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.94/1.35 Y, Z ), Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.94/1.35 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.94/1.35 Y, Z ), Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.94/1.35 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.94/1.35 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.94/1.35 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.94/1.35 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.94/1.35 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.94/1.35 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.94/1.35 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.94/1.35 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.94/1.35 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.94/1.35 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.94/1.35 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.94/1.35 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.94/1.35 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 0.94/1.35 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.94/1.35 ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.94/1.35 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.94/1.35 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.94/1.35 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.94/1.35 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( X, Y, Z, Z ), hAPP( 'c_Relation_Oconverse'( Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( T, Z ) ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), hAPP( 'c_Relation_Oconverse'( Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Otrancl'( T, Z ) ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.35 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.35 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( Z, Z ), T
% 0.94/1.35 ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.94/1.35 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.94/1.35 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.94/1.35 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.94/1.35 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.94/1.35 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.94/1.35 , V4 ), W ) ) ],
% 0.94/1.35 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.94/1.35 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.94/1.35 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP( 'c_Relation_Oconverse'( T, Z ),
% 0.94/1.35 U ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'(
% 0.94/1.35 T, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP( 'c_Relation_Oconverse'( T, Z ),
% 0.94/1.35 U ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'(
% 0.94/1.35 T, Z ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.94/1.35 'c_Pair'( Y, X, T, Z ), hAPP( 'c_Relation_Oconverse'( Z, T ), U ),
% 0.94/1.35 'tc_prod'( T, Z ) ) ) ],
% 0.94/1.35 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.94/1.35 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.94/1.35 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P_H____', X ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.94/1.35 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( =( 'v_b____', 'v_c____' ) ) ],
% 0.94/1.35 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), hAPP( 'c_Relation_Oconverse'(
% 0.94/1.35 Y, X ), Z ) ), Z ) ],
% 0.94/1.35 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.94/1.35 ) ],
% 0.94/1.35 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.94/1.35 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.94/1.35 [ ~( =( 'v_a____', 'v_c____' ) ) ],
% 0.94/1.35 [ 'c_in'( 'v_P_H____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ ~( =( 'v_a____', 'v_c____' ) ) ],
% 0.94/1.35 [ ~( =( 'v_b____', 'v_c____' ) ) ],
% 0.94/1.35 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.94/1.35 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), X ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , ~( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.94/1.35 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_Fun_Ocomp'(
% 0.94/1.35 'c_Relation_Oconverse'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ),
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi' ), X ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ ~( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'v_F'( 'v_P_H____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.94/1.35 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'c_Fun_Ocomp'(
% 0.94/1.35 'c_Relation_Oconverse'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ),
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oindi' ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 ) ],
% 0.94/1.35 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'v_F'( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ) ), 'tc_prod'(
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.35 , 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.35 'v_F'( 'v_P_H____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.94/1.35 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.35 'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.35 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.35 'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.35 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.35 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.94/1.35 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.35 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.94/1.35 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.35 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.94/1.35 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.35 'class_Orderings_Opreorder'( Y ) ) ],
% 0.94/1.35 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.35 'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.35 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.35 'class_Orderings_Oorder'( Y ) ) ],
% 0.94/1.35 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.94/1.35 Y ) ) ],
% 0.94/1.35 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.94/1.35 ,
% 0.94/1.35 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.94/1.35 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.94/1.35 [ 'c_fequal'( X, X, Y ) ],
% 0.94/1.35 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.94/1.35 ] .
% 0.94/1.35
% 0.94/1.35
% 0.94/1.35 percentage equality = 0.241405, percentage horn = 0.880192
% 0.94/1.35 This is a problem with some equality
% 0.94/1.35
% 0.94/1.35
% 0.94/1.35
% 0.94/1.35 Options Used:
% 0.94/1.35
% 0.94/1.35 useres = 1
% 0.94/1.35 useparamod = 1
% 0.94/1.35 useeqrefl = 1
% 0.94/1.35 useeqfact = 1
% 0.94/1.35 usefactor = 1
% 0.94/1.35 usesimpsplitting = 0
% 0.94/1.35 usesimpdemod = 5
% 0.94/1.35 usesimpres = 3
% 0.94/1.35
% 0.94/1.35 resimpinuse = 1000
% 0.94/1.35 resimpclauses = 20000
% 0.94/1.35 substype = eqrewr
% 0.94/1.35 backwardsubs = 1
% 0.94/1.35 selectoldest = 5
% 0.94/1.35
% 0.94/1.35 litorderings [0] = split
% 0.94/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.35
% 0.94/1.35 termordering = kbo
% 0.94/1.35
% 0.94/1.35 litapriori = 0
% 0.94/1.35 termapriori = 1
% 0.94/1.35 litaposteriori = 0
% 0.94/1.35 termaposteriori = 0
% 0.94/1.35 demodaposteriori = 0
% 0.94/1.35 ordereqreflfact = 0
% 0.94/1.35
% 0.94/1.35 litselect = negord
% 0.94/1.35
% 0.94/1.35 maxweight = 15
% 0.94/1.35 maxdepth = 30000
% 0.94/1.35 maxlength = 115
% 0.94/1.35 maxnrvars = 195
% 0.94/1.35 excuselevel = 1
% 0.94/1.35 increasemaxweight = 1
% 0.94/1.35
% 0.94/1.35 maxselected = 10000000
% 0.94/1.35 maxnrclauses = 10000000
% 0.94/1.35
% 0.94/1.35 showgenerated = 0
% 0.94/1.35 showkept = 0
% 0.94/1.35 showselected = 0
% 0.94/1.35 showdeleted = 0
% 0.94/1.35 showresimp = 1
% 0.94/1.35 showstatus = 2000
% 0.94/1.35
% 0.94/1.35 prologoutput = 1
% 0.94/1.35 nrgoals = 5000000
% 0.94/1.35 totalproof = 1
% 0.94/1.35
% 0.94/1.35 Symbols occurring in the translation:
% 0.94/1.35
% 0.94/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.35 . [1, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.94/1.35 ! [4, 1] (w:0, o:85, a:1, s:1, b:0),
% 0.94/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
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% 0.94/1.35 , s:1, b:0),
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% 0.94/1.35 ,
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% 0.94/1.35 'class_Lattices_Oupper__semilattice' [55, 1] (w:1, o:92, a:1, s:1, b:
% 0.94/1.35 0),
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% 0.94/1.35 hAPP [62, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.94/1.35 hBOOL [63, 1] (w:1, o:93, a:1, s:1, b:0),
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% 0.94/1.35 1, s:1, b:0),
% 0.94/1.35 'c_Set_Oinsert' [65, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.94/1.35 'c_COMBK' [66, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.94/1.35 'c_HOL_Ominus__class_Ominus' [68, 3] (w:1, o:172, a:1, s:1, b:0),
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% 0.94/1.35 0),
% 0.94/1.35 'c_Set_Oimage' [74, 4] (w:1, o:191, a:1, s:1, b:0),
% 0.94/1.35 'c_HOL_Ouminus__class_Ouminus' [75, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.94/1.35 'class_Lattices_Oboolean__algebra' [76, 1] (w:1, o:95, a:1, s:1, b:0)
% 0.94/1.35 ,
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% 0.94/1.35 'class_Lattices_Olower__semilattice' [79, 1] (w:1, o:97, a:1, s:1, b:
% 0.94/1.35 0),
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% 0.94/1.35 'c_in' [85, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.94/1.35 'c_Product__Type_OSigma' [88, 4] (w:1, o:192, a:1, s:1, b:0),
% 0.94/1.35 'c_Relation_Ototal__on' [89, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.94/1.35 'c_Order__Relation_Ostrict__linear__order__on' [90, 3] (w:1, o:175
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% 0.94/1.35 ,
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% 0.94/1.35 'c_Relation_ORange' [93, 3] (w:1, o:168, a:1, s:1, b:0),
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% 0.94/1.35 'c_Relation_Orefl__on' [101, 3] (w:1, o:169, a:1, s:1, b:0),
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% 0.94/1.35 (w:1, o:178, a:1, s:1, b:0),
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% 0.94/1.35 , b:0),
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% 0.94/1.35 'c_Fun_Ocomp' [117, 5] (w:1, o:211, a:1, s:1, b:0),
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% 3.38/3.78 'c_Equiv__Relations_Oequiv' [119, 3] (w:1, o:179, a:1, s:1, b:0),
% 3.38/3.78 'c_Relation_OId' [120, 1] (w:1, o:103, a:1, s:1, b:0),
% 3.38/3.78 'c_Relation_Oirrefl' [121, 2] (w:1, o:145, a:1, s:1, b:0),
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% 3.38/3.78 , a:1, s:1, b:0),
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% 3.38/3.78 , o:181, a:1, s:1, b:0),
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% 3.38/3.78 'v_sko__Wellfounded__Xacc__Xinducts__1' [128, 2] (w:1, o:147, a:1, s:
% 3.38/3.78 1, b:0),
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% 3.38/3.78 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [130, 3]
% 3.38/3.78 (w:1, o:182, a:1, s:1, b:0),
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% 3.38/3.78 'c_Relation_OId__on' [136, 2] (w:1, o:151, a:1, s:1, b:0),
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% 3.38/3.78 [137, 4] (w:1, o:195, a:1, s:1, b:0),
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% 3.38/3.78 , o:220, a:1, s:1, b:0),
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% 3.38/3.78 , s:1, b:0),
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% 3.38/3.78 , o:154, a:1, s:1, b:0),
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% 3.38/3.78 155, a:1, s:1, b:0),
% 3.38/3.78 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1' [150, 5] (w:1
% 3.38/3.78 , o:213, a:1, s:1, b:0),
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% 3.38/3.78 't_b' [153, 0] (w:1, o:61, a:1, s:1, b:0),
% 3.38/3.78 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [154, 2] (w:1, o:
% 3.38/3.78 156, a:1, s:1, b:0),
% 3.38/3.78 'c_Relation_Osingle__valued' [155, 3] (w:1, o:165, a:1, s:1, b:0),
% 3.38/3.78 'c_Nitpick_Orefl_H' [156, 2] (w:1, o:157, a:1, s:1, b:0),
% 3.38/3.78 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [157, 2] (w:1, o:158
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% 3.38/3.78 'c_split' [158, 4] (w:1, o:200, a:1, s:1, b:0),
% 3.38/3.78 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [159, 4] (w:1, o:201
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% 3.38/3.78 (w:1, o:197, a:1, s:1, b:0),
% 3.38/3.78 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [162, 4]
% 3.38/3.78 (w:1, o:198, a:1, s:1, b:0),
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% 3.38/3.78 'class_Orderings_Opreorder' [165, 1] (w:1, o:106, a:1, s:1, b:0),
% 3.38/3.78 'class_Orderings_Oorder' [166, 1] (w:1, o:105, a:1, s:1, b:0),
% 3.38/3.78 'class_HOL_Oord' [170, 1] (w:1, o:107, a:1, s:1, b:0),
% 3.38/3.78 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [172, 4] (w:1, o:202
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% 3.38/3.78 ,
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% 3.38/3.78 'v_sko__local__X1__1' [178, 6] (w:1, o:217, a:1, s:1, b:0),
% 3.38/3.78 'c_Arrow__Order__Mirabelle_OProf' [179, 0] (w:1, o:65, a:1, s:1, b:0)
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% 15.85/16.23 ),
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% 15.85/16.23 'v_P_H____' [184, 0] (w:1, o:67, a:1, s:1, b:0),
% 15.85/16.23 'v_P____' [185, 0] (w:1, o:68, a:1, s:1, b:0),
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% 15.85/16.23 (w:1, o:187, a:1, s:1, b:0),
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% 15.85/16.23 ,
% 15.85/16.23 'c_Equiv__Relations_Ocongruent2' [192, 6] (w:1, o:219, a:1, s:1, b:0)
% 15.85/16.23 ,
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% 15.85/16.23 205, a:1, s:1, b:0),
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% 15.85/16.23 206, a:1, s:1, b:0),
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% 15.85/16.23 'c_Arrow__Order__Mirabelle_Omktop' [204, 2] (w:1, o:159, a:1, s:1, b:
% 15.85/16.23 0),
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% 15.85/16.23 0),
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% 15.85/16.23 161, a:1, s:1, b:0),
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% 15.85/16.23 'v_b____' [208, 0] (w:1, o:74, a:1, s:1, b:0),
% 15.85/16.23 'v_c____' [215, 0] (w:1, o:80, a:1, s:1, b:0),
% 15.85/16.23 'c_fequal' [218, 3] (w:1, o:188, a:1, s:1, b:0).
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Starting Search:
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 7356
% 15.85/16.23 Kept: 2013
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% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 14864
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% 15.85/16.23 Resimplifying inuse:
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% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
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% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
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% 15.85/16.23 Resimplifying inuse:
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% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
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% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
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% 15.85/16.23 Resimplifying inuse:
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% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
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% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
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% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
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% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
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% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
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% 15.85/16.23
% 15.85/16.23 Intermediate Status:
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% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 86738
% 15.85/16.23 Kept: 17390
% 15.85/16.23 Inuse: 713
% 15.85/16.23 Deleted: 27
% 15.85/16.23 Deletedinuse: 9
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 104366
% 15.85/16.23 Kept: 19407
% 15.85/16.23 Inuse: 718
% 15.85/16.23 Deleted: 28
% 15.85/16.23 Deletedinuse: 10
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23 Resimplifying clauses:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 115585
% 15.85/16.23 Kept: 21433
% 15.85/16.23 Inuse: 744
% 15.85/16.23 Deleted: 365
% 15.85/16.23 Deletedinuse: 11
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 125063
% 15.85/16.23 Kept: 23476
% 15.85/16.23 Inuse: 792
% 15.85/16.23 Deleted: 409
% 15.85/16.23 Deletedinuse: 13
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 136289
% 15.85/16.23 Kept: 25544
% 15.85/16.23 Inuse: 832
% 15.85/16.23 Deleted: 410
% 15.85/16.23 Deletedinuse: 14
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 160842
% 15.85/16.23 Kept: 28812
% 15.85/16.23 Inuse: 872
% 15.85/16.23 Deleted: 412
% 15.85/16.23 Deletedinuse: 16
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate Status:
% 15.85/16.23 Generated: 183534
% 15.85/16.23 Kept: 31093
% 15.85/16.23 Inuse: 915
% 15.85/16.23 Deleted: 431
% 15.85/16.23 Deletedinuse: 35
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23 Resimplifying inuse:
% 15.85/16.23 Done
% 15.85/16.23
% 15.85/16.23
% 15.85/16.23 Intermediate StatuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------