TSTP Solution File: SCT065-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT065-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 21:00:57 EDT 2022
% Result : Timeout 300.09s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT065-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 09:08:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.89/1.31 *** allocated 10000 integers for termspace/termends
% 0.89/1.31 *** allocated 10000 integers for clauses
% 0.89/1.31 *** allocated 10000 integers for justifications
% 0.89/1.31 *** allocated 15000 integers for termspace/termends
% 0.89/1.31 *** allocated 22500 integers for termspace/termends
% 0.89/1.31 Bliksem 1.12
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 Automatic Strategy Selection
% 0.89/1.31
% 0.89/1.31 Clauses:
% 0.89/1.31 [
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.89/1.31 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Relation_OImage'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.31 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.31 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.31 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.31 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.31 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.31 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.89/1.31 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.89/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.31 Y, Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.31 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.89/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.89/1.31 , T ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.89/1.31 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.89/1.31 , T ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.89/1.31 , Z ) ],
% 0.89/1.31 [ ~( =( 'c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1'( X, Y ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ),
% 0.89/1.31 'c_Wellfounded_Owf'( X, Y ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.89/1.31 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.31 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 , X ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.89/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.89/1.31 'c_in'( U, T, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.89/1.31 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.89/1.31 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.89/1.31 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.31 , X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.89/1.31 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.89/1.31 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.89/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.31 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.31 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.31 X, T ), Y ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.89/1.31 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.89/1.31 , Z, T ), Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.31 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.89/1.31 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.89/1.31 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.31 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.89/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.89/1.31 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.31 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.89/1.31 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.89/1.31 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.89/1.31 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.89/1.31 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.89/1.31 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.89/1.31 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.89/1.31 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.89/1.31 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.89/1.31 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.89/1.31 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.89/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.89/1.31 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ) ) ), =( Y, Z ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ) ) ), =( Y, Z ) ],
% 0.89/1.31 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.89/1.31 Z ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.89/1.31 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.89/1.31 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.89/1.31 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Oconverse'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.89/1.31 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.89/1.31 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.89/1.31 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.31 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.31 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 T, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 T, Z, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.89/1.31 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.31 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ), Z, X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.89/1.31 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.89/1.31 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.89/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.31 'c_in'( X, T, Z ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.89/1.31 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.89/1.31 Z, T ), T ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.89/1.31 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.89/1.31 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.89/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.89/1.31 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.89/1.31 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.89/1.31 U, W ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ), Y ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ), Y ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.89/1.31 ), Y ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.89/1.31 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.31 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.89/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.89/1.31 , T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.89/1.31 , T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.31 ), Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.31 ), Y ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.31 ), Y ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.89/1.31 , Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.31 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ), Z ), 'c_in'( X, Y, Z ) ],
% 0.89/1.31 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.31 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.89/1.31 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.89/1.31 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.89/1.31 Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.31 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.89/1.31 , Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.89/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.89/1.31 , X, 'tc_prod'( Z, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.89/1.31 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.89/1.31 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.89/1.31 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.89/1.31 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z,
% 0.89/1.31 U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.31 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.89/1.31 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.89/1.31 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), Y, X ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Oconverse'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.89/1.31 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.89/1.31 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.89/1.31 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.89/1.31 , T, Z ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.89/1.31 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.89/1.31 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.89/1.31 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.89/1.31 , Z ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.31 Y, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 T, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.31 Y, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 T, X ), Z, X ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.89/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.31 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.89/1.31 hAPP( X, T ) ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.89/1.31 , X ), X ), X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.89/1.31 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.31 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.31 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.31 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.89/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.31 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.89/1.31 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.89/1.31 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.89/1.31 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.89/1.31 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.89/1.31 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.89/1.31 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.89/1.31 X, Z, T, U ),
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.89/1.31 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.89/1.31 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.89/1.31 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.89/1.31 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.89/1.31 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.89/1.31 Z ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.89/1.31 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.89/1.31 T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.89/1.31 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.89/1.31 U ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.89/1.31 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.89/1.31 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.89/1.31 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.89/1.31 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.31 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.31 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.89/1.31 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.89/1.31 ) ), Y ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.89/1.31 ) ), Y ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.31 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.89/1.31 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.89/1.31 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.89/1.31 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.31 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.89/1.31 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.89/1.31 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.89/1.31 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y,
% 0.89/1.31 Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.89/1.31 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.89/1.31 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.89/1.31 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.89/1.31 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'(
% 0.89/1.31 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ),
% 0.89/1.31 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 0.89/1.31 , 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 0.89/1.31 , 't_a' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.89/1.31 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 0.89/1.31 , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X
% 0.89/1.31 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ),
% 0.89/1.31 ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.89/1.31 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.89/1.31 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.89/1.31 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.89/1.31 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 0.89/1.31 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 0.89/1.31 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 0.89/1.31 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 0.89/1.31 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.89/1.31 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.89/1.31 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.89/1.31 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.89/1.31 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.89/1.31 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 0.89/1.31 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 0.89/1.31 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.89/1.31 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'(
% 0.89/1.31 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ),
% 0.89/1.31 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 0.89/1.31 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.89/1.31 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.89/1.31 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.89/1.31 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.89/1.31 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.89/1.31 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.89/1.31 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.89/1.31 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.89/1.31 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 0.89/1.31 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 0.89/1.31 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.89/1.31 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.89/1.31 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.89/1.31 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.89/1.31 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.89/1.31 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.89/1.31 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.89/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.89/1.31 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.89/1.31 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), 'c_lessequals'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1'( X, Y ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1'(
% 0.89/1.31 X, Y ), Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.31 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.89/1.31 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.89/1.31 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ),
% 0.89/1.31 'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( hAPP( Y,
% 0.89/1.31 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.89/1.31 ), hAPP( W, 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X,
% 0.89/1.31 Y, W, Z, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.89/1.31 'c_Relation_OImage'( 'c_Relation_Oconverse'( X, Z, T ),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus'( U, 'tc_fun'( T, 'tc_bool' ) ), T, Z ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( 'c_Relation_OImage'(
% 0.89/1.31 'c_Relation_Oconverse'( Y, Z, T ), 'c_HOL_Ouminus__class_Ouminus'( U,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( Y, X, Z, T ), U
% 0.89/1.31 , 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.89/1.31 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.89/1.31 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.89/1.31 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.89/1.31 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.89/1.31 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.89/1.31 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.89/1.31 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.89/1.31 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.89/1.31 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.89/1.31 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.89/1.31 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.89/1.31 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.89/1.31 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.89/1.31 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.89/1.31 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.89/1.31 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.89/1.31 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.89/1.31 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.89/1.31 'tc_prod'( Y, Y ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.89/1.31 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.31 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.89/1.31 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.89/1.31 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.89/1.31 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.89/1.31 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.89/1.31 'tc_prod'( Y, Y ) ) ) ],
% 0.89/1.31 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.89/1.31 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.89/1.31 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.89/1.31 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.89/1.31 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.89/1.31 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.89/1.31 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.89/1.31 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.89/1.31 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.89/1.31 T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_in'( W, Y, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.89/1.31 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.89/1.31 ~( 'c_in'( W, T, U ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ),
% 0.89/1.31 'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 0.89/1.31 'tc_bool' ) ), 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.89/1.31 , X, Z ), ~( 'c_lessequals'( X, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.89/1.31 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.89/1.31 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.89/1.31 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.89/1.31 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.89/1.31 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.89/1.31 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.89/1.31 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.89/1.31 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.89/1.31 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.89/1.31 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.89/1.31 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.89/1.31 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.89/1.31 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.89/1.31 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.89/1.31 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.89/1.31 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.89/1.31 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.89/1.31 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.89/1.31 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.31 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.89/1.31 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.89/1.31 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.89/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.89/1.31 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.31 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.89/1.31 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.89/1.31 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.89/1.31 ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.89/1.31 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.89/1.31 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.89/1.31 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.89/1.31 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.31 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.89/1.31 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.89/1.31 , 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.89/1.31 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.89/1.31 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.89/1.31 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.89/1.31 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.89/1.31 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.89/1.31 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.89/1.31 X, U ), W ) ) ],
% 0.89/1.31 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.89/1.31 X, U ), W ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.31 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.89/1.31 , T ) ) ) ],
% 0.89/1.31 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.89/1.31 , Z, T ) ) ],
% 0.89/1.31 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.89/1.31 , Z, T ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.89/1.31 , U ), U ) ],
% 0.89/1.31 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.89/1.31 , U ), U ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.31 Y, Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.89/1.31 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.89/1.31 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.89/1.31 'c_Relation_Otrans'( X, Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.89/1.31 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.89/1.31 , T ), T ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.89/1.31 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.89/1.31 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.89/1.31 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.89/1.31 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.89/1.31 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.89/1.31 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.89/1.31 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.89/1.31 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.89/1.31 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.31 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.89/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.89/1.31 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.89/1.31 Y ) ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.89/1.31 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.89/1.31 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.89/1.31 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.31 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 X, Y ), X, Y, Y, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.89/1.31 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.89/1.31 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.89/1.31 'c_Relation_Otrans'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.89/1.31 'c_Relation_OId'( X ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.89/1.31 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.89/1.31 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.89/1.31 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.89/1.31 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.89/1.31 , Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.89/1.31 'c_Relation_Otrans'( X, Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.89/1.31 'c_Relation_OId__on'( X, Y ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.89/1.31 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.89/1.31 , Y ), X, Y ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.89/1.31 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.89/1.31 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.89/1.31 ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.89/1.31 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.89/1.31 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.89/1.31 X ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.89/1.31 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.89/1.31 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.89/1.31 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.89/1.31 Y, Z ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.89/1.31 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 Y, Y ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.89/1.31 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.89/1.31 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.89/1.31 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.89/1.31 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.89/1.31 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.89/1.31 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.89/1.31 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.89/1.31 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.89/1.31 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.89/1.31 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.89/1.31 ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.89/1.31 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.89/1.31 , T ), T ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.89/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.89/1.31 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.89/1.31 ), U ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.89/1.31 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.89/1.31 't_a' ), 't_a' ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.89/1.31 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.31 T, Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.89/1.31 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.89/1.31 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.89/1.31 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.89/1.31 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.31 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.89/1.31 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.89/1.31 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.89/1.31 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.89/1.31 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.89/1.31 ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.89/1.31 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.89/1.31 't_a' ), 't_a' ) ) ],
% 0.89/1.31 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.89/1.31 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 0.89/1.31 V0, 'tc_prod'( T, U ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.89/1.31 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.89/1.31 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.89/1.31 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.89/1.31 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.89/1.31 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.89/1.31 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.89/1.31 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.89/1.31 Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.89/1.31 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.89/1.31 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.89/1.31 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.89/1.31 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.31 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.89/1.31 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.89/1.31 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.89/1.31 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.89/1.31 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.89/1.31 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.89/1.31 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U
% 0.89/1.31 ), X, 'tc_prod'( T, U ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~(
% 0.89/1.31 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.89/1.31 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.89/1.31 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.89/1.31 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.89/1.31 Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.89/1.31 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.89/1.31 Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.89/1.31 Z ) ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.89/1.31 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.31 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.31 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.31 Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.89/1.31 , 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.89/1.31 ), 'tc_prod'( Y, Y ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.89/1.31 ), 'tc_prod'( Y, Y ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.31 T, Z ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.89/1.31 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.89/1.31 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.89/1.31 ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.89/1.31 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.89/1.31 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.89/1.31 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.89/1.31 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.89/1.31 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.89/1.31 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.89/1.31 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.89/1.31 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.89/1.31 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.89/1.31 , Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.89/1.31 , Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.89/1.31 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.89/1.31 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.89/1.31 Z, V0 ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.31 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.31 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.89/1.31 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.89/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.89/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.31 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.31 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.89/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.31 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.31 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.31 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.89/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.89/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.89/1.31 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.89/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 , =( X, Y ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.89/1.31 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.89/1.31 , Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.89/1.31 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.89/1.31 , Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.31 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.89/1.31 Y, Z ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.31 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.89/1.31 Y, Z ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.31 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.31 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.89/1.31 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.89/1.31 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.89/1.31 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.89/1.31 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.89/1.31 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.89/1.31 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.31 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.31 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.89/1.31 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.89/1.31 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.89/1.31 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 0.89/1.31 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.89/1.31 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.89/1.31 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.89/1.31 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.89/1.31 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.89/1.31 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.89/1.31 [ ~( =( 'v_a_H____', 'v_b_H____' ) ) ],
% 0.89/1.31 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.89/1.31 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a_H____',
% 0.89/1.31 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P_H____', X ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 'v_F'( 'v_P_H____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.89/1.31 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P____' ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 'v_F'( 'v_P____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( 'v_a_H____',
% 0.89/1.31 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P_H____' ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.31 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.31 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.31 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.31 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.31 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.31 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.31 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.31 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.31 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.89/1.31 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.31 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.31 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.31 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.31 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.31 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.31 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.31 Y ) ) ],
% 0.89/1.31 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.31 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.31 [ 'c_fequal'( X, X, Y ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.89/1.31 ] .
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 percentage equality = 0.227378, percentage horn = 0.880524
% 0.89/1.31 This is a problem with some equality
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 Options Used:
% 0.89/1.31
% 0.89/1.31 useres = 1
% 0.89/1.31 useparamod = 1
% 0.89/1.31 useeqrefl = 1
% 0.89/1.31 useeqfact = 1
% 0.89/1.31 usefactor = 1
% 0.89/1.31 usesimpsplitting = 0
% 0.89/1.31 usesimpdemod = 5
% 0.89/1.31 usesimpres = 3
% 0.89/1.31
% 0.89/1.31 resimpinuse = 1000
% 0.89/1.31 resimpclauses = 20000
% 0.89/1.31 substype = eqrewr
% 0.89/1.31 backwardsubs = 1
% 0.89/1.31 selectoldest = 5
% 0.89/1.31
% 0.89/1.31 litorderings [0] = split
% 0.89/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.31
% 0.89/1.31 termordering = kbo
% 0.89/1.31
% 0.89/1.31 litapriori = 0
% 0.89/1.31 termapriori = 1
% 0.89/1.31 litaposteriori = 0
% 0.89/1.31 termaposteriori = 0
% 0.89/1.31 demodaposteriori = 0
% 0.89/1.31 ordereqreflfact = 0
% 0.89/1.31
% 0.89/1.31 litselect = negord
% 0.89/1.31
% 0.89/1.31 maxweight = 15
% 0.89/1.31 maxdepth = 30000
% 0.89/1.31 maxlength = 115
% 0.89/1.31 maxnrvars = 195
% 0.89/1.31 excuselevel = 1
% 0.89/1.31 increasemaxweight = 1
% 0.89/1.31
% 0.89/1.31 maxselected = 10000000
% 0.89/1.31 maxnrclauses = 10000000
% 0.89/1.31
% 0.89/1.31 showgenerated = 0
% 0.89/1.31 showkept = 0
% 0.89/1.31 showselected = 0
% 0.89/1.31 showdeleted = 0
% 0.89/1.31 showresimp = 1
% 0.89/1.31 showstatus = 2000
% 0.89/1.31
% 0.89/1.31 prologoutput = 1
% 0.89/1.31 nrgoals = 5000000
% 0.89/1.31 totalproof = 1
% 0.89/1.31
% 0.89/1.31 Symbols occurring in the translation:
% 0.89/1.31
% 0.89/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.31 . [1, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.89/1.31 ! [4, 1] (w:0, o:77, a:1, s:1, b:0),
% 0.89/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.31 'tc_bool' [41, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.89/1.31 'tc_fun' [42, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup' [43, 3] (w:1, o:153, a:1
% 0.89/1.31 , s:1, b:0),
% 0.89/1.31 'class_Lattices_Oupper__semilattice' [44, 1] (w:1, o:82, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'tc_prod' [49, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.89/1.31 'c_Relation_OImage' [50, 4] (w:1, o:182, a:1, s:1, b:0),
% 0.89/1.31 hAPP [54, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.89/1.31 hBOOL [55, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.89/1.31 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [56, 3] (w:1, o:154, a:
% 0.89/1.31 1, s:1, b:0),
% 0.89/1.31 'c_Wellfounded_Owf' [57, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.89/1.31 'c_Set_Oinsert' [59, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.89/1.31 'c_COMBK' [60, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.89/1.31 'c_HOL_Ominus__class_Ominus' [62, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.89/1.31 'c_Orderings_Obot__class_Obot' [64, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.89/1.31 'class_OrderedGroup_Oab__group__add' [65, 1] (w:1, o:85, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'c_Set_Oimage' [69, 4] (w:1, o:184, a:1, s:1, b:0),
% 0.89/1.31 'c_HOL_Ouminus__class_Ouminus' [70, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf' [71, 3] (w:1, o:164, a:1
% 0.89/1.31 , s:1, b:0),
% 0.89/1.31 'class_Lattices_Oboolean__algebra' [72, 1] (w:1, o:86, a:1, s:1, b:0)
% 0.89/1.31 ,
% 0.89/1.31 'c_lessequals' [73, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.89/1.31 'class_Lattices_Olattice' [76, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.89/1.31 'class_Lattices_Olower__semilattice' [77, 1] (w:1, o:88, a:1, s:1, b:
% 0.89/1.31 0),
% 0.89/1.31 'c_Wellfounded_Oacyclic' [81, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.89/1.31 'c_in' [83, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.89/1.31 'c_Product__Type_OSigma' [86, 4] (w:1, o:185, a:1, s:1, b:0),
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1' [87, 2] (w:1, o:132
% 0.89/1.31 , a:1, s:1, b:0),
% 0.89/1.31 'class_Lattices_Odistrib__lattice' [88, 1] (w:1, o:89, a:1, s:1, b:0)
% 0.89/1.31 ,
% 0.89/1.31 'c_Relation_ODomain' [89, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.89/1.31 'c_Relation_ORange' [90, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [91, 3] (w:1, o:
% 0.89/1.31 167, a:1, s:1, b:0),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl' [92, 2] (w:1, o:133, a:1, s:1, b:0)
% 0.89/1.31 ,
% 0.89/1.31 'class_OrderedGroup_Opordered__ab__group__add' [93, 1] (w:1, o:90, a:
% 0.89/1.32 1, s:1, b:0),
% 0.89/1.32 'class_Orderings_Obot' [94, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.89/1.32 'c_Pair' [95, 4] (w:1, o:186, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_Osym' [97, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.89/1.32 'class_Lattices_Obounded__lattice' [98, 1] (w:1, o:92, a:1, s:1, b:0)
% 0.89/1.32 ,
% 0.89/1.32 'c_Relation_Orefl__on' [99, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_Otrans' [101, 2] (w:1, o:135, a:1, s:1, b:0),
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% 0.89/1.32 'c_Relation_Ototal__on' [106, 3] (w:1, o:160, a:1, s:1, b:0),
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% 0.89/1.32 , a:1, s:1, b:0),
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% 0.89/1.32 (w:1, o:187, a:1, s:1, b:0),
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% 0.89/1.32 [120, 4] (w:1, o:189, a:1, s:1, b:0),
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% 0.89/1.32 ] (w:1, o:191, a:1, s:1, b:0),
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% 5.51/5.87 , 2] (w:1, o:141, a:1, s:1, b:0),
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% 5.51/5.87 4] (w:1, o:192, a:1, s:1, b:0),
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% 5.51/5.87 (w:1, o:193, a:1, s:1, b:0),
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% 5.51/5.87 , o:143, a:1, s:1, b:0),
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% 5.51/5.87 , o:205, a:1, s:1, b:0),
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% 5.51/5.87 145, a:1, s:1, b:0),
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% 5.51/5.87 , a:1, s:1, b:0),
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% 5.51/5.87 (w:1, o:194, a:1, s:1, b:0),
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% 5.51/5.87 'class_Orderings_Opreorder' [158, 1] (w:1, o:98, a:1, s:1, b:0),
% 5.51/5.87 'class_Orderings_Oorder' [159, 1] (w:1, o:97, a:1, s:1, b:0),
% 5.51/5.87 'class_HOL_Oord' [163, 1] (w:1, o:99, a:1, s:1, b:0),
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% 5.51/5.87 , o:176, a:1, s:1, b:0),
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% 5.51/5.87 1, b:0),
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% 5.51/5.87 (w:1, o:177, a:1, s:1, b:0),
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% 19.95/20.33
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% 19.95/20.33
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% 19.95/20.33 Done
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% 19.95/20.33
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% 19.95/20.33
% 19.95/20.33 Intermediate Status:
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% 19.95/20.33 Resimplifying inuse:
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% 19.95/20.33
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% 19.95/20.33 Resimplifying inuse:
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% 19.95/20.33
% 19.95/20.33 Intermediate Status:
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% 19.95/20.33 Resimplifying inuse:
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% 19.95/20.33
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% 19.95/20.33 Resimplifying inuse:
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% 19.95/20.33
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% 19.95/20.33 Resimplifying inuse:
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% 19.95/20.33
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% 19.95/20.33 Resimplifying inuse:
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% 19.95/20.33 Resimplifying inuse:
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% 19.95/20.33
% 19.95/20.33
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% 19.95/20.33 Resimplifying inuse:
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% 19.95/20.33
% 19.95/20.33
% 19.95/20.33 Intermediate Status:
% 19.95/20.33 Generated: 287343
% 19.95/20.33 Kept: 43946
% 19.95/20.33 Inuse: 1094
% 19.95/20.33 Deleted: 1181
% 19.95/20.33 Deletedinuse: 45
% 19.95/20.33
% 19.95/20.33 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 305667
% 93.60/94.08 Kept: 46042
% 93.60/94.08 Inuse: 1133
% 93.60/94.08 Deleted: 1193
% 93.60/94.08 Deletedinuse: 51
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 327474
% 93.60/94.08 Kept: 48865
% 93.60/94.08 Inuse: 1156
% 93.60/94.08 Deleted: 1198
% 93.60/94.08 Deletedinuse: 54
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 342104
% 93.60/94.08 Kept: 50903
% 93.60/94.08 Inuse: 1186
% 93.60/94.08 Deleted: 1199
% 93.60/94.08 Deletedinuse: 55
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 361555
% 93.60/94.08 Kept: 52963
% 93.60/94.08 Inuse: 1231
% 93.60/94.08 Deleted: 1203
% 93.60/94.08 Deletedinuse: 59
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 379303
% 93.60/94.08 Kept: 54971
% 93.60/94.08 Inuse: 1265
% 93.60/94.08 Deleted: 1204
% 93.60/94.08 Deletedinuse: 60
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 395934
% 93.60/94.08 Kept: 57799
% 93.60/94.08 Inuse: 1276
% 93.60/94.08 Deleted: 1204
% 93.60/94.08 Deletedinuse: 60
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 411973
% 93.60/94.08 Kept: 60402
% 93.60/94.08 Inuse: 1286
% 93.60/94.08 Deleted: 1204
% 93.60/94.08 Deletedinuse: 60
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying clauses:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 426644
% 93.60/94.08 Kept: 62938
% 93.60/94.08 Inuse: 1296
% 93.60/94.08 Deleted: 1949
% 93.60/94.08 Deletedinuse: 60
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 442073
% 93.60/94.08 Kept: 65137
% 93.60/94.08 Inuse: 1331
% 93.60/94.08 Deleted: 1949
% 93.60/94.08 Deletedinuse: 60
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 453380
% 93.60/94.08 Kept: 67272
% 93.60/94.08 Inuse: 1360
% 93.60/94.08 Deleted: 1953
% 93.60/94.08 Deletedinuse: 63
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 469741
% 93.60/94.08 Kept: 69661
% 93.60/94.08 Inuse: 1385
% 93.60/94.08 Deleted: 1953
% 93.60/94.08 Deletedinuse: 63
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 485659
% 93.60/94.08 Kept: 71713
% 93.60/94.08 Inuse: 1415
% 93.60/94.08 Deleted: 1956
% 93.60/94.08 Deletedinuse: 66
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 500828
% 93.60/94.08 Kept: 73868
% 93.60/94.08 Inuse: 1440
% 93.60/94.08 Deleted: 1956
% 93.60/94.08 Deletedinuse: 66
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 510394
% 93.60/94.08 Kept: 75906
% 93.60/94.08 Inuse: 1475
% 93.60/94.08 Deleted: 1958
% 93.60/94.08 Deletedinuse: 68
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 527975
% 93.60/94.08 Kept: 78283
% 93.60/94.08 Inuse: 1514
% 93.60/94.08 Deleted: 1961
% 93.60/94.08 Deletedinuse: 70
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 552851
% 93.60/94.08 Kept: 82406
% 93.60/94.08 Inuse: 1534
% 93.60/94.08 Deleted: 1961
% 93.60/94.08 Deletedinuse: 70
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying clauses:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 568145
% 93.60/94.08 Kept: 84674
% 93.60/94.08 Inuse: 1564
% 93.60/94.08 Deleted: 2240
% 93.60/94.08 Deletedinuse: 70
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 583494
% 93.60/94.08 Kept: 86694
% 93.60/94.08 Inuse: 1597
% 93.60/94.08 Deleted: 2240
% 93.60/94.08 Deletedinuse: 70
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 609363
% 93.60/94.08 Kept: 89074
% 93.60/94.08 Inuse: 1619
% 93.60/94.08 Deleted: 2242
% 93.60/94.08 Deletedinuse: 72
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 630577
% 93.60/94.08 Kept: 91080
% 93.60/94.08 Inuse: 1632
% 93.60/94.08 Deleted: 2242
% 93.60/94.08 Deletedinuse: 72
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 645056
% 93.60/94.08 Kept: 93257
% 93.60/94.08 Inuse: 1654
% 93.60/94.08 Deleted: 2242
% 93.60/94.08 Deletedinuse: 72
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 675470
% 93.60/94.08 Kept: 97743
% 93.60/94.08 Inuse: 1684
% 93.60/94.08 Deleted: 2245
% 93.60/94.08 Deletedinuse: 75
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 695306
% 93.60/94.08 Kept: 99851
% 93.60/94.08 Inuse: 1713
% 93.60/94.08 Deleted: 2246
% 93.60/94.08 Deletedinuse: 75
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 93.60/94.08 Done
% 93.60/94.08
% 93.60/94.08
% 93.60/94.08 Intermediate Status:
% 93.60/94.08 Generated: 707889
% 93.60/94.08 Kept: 101857
% 93.60/94.08 Inuse: 1753
% 93.60/94.08 Deleted: 2246
% 93.60/94.08 Deletedinuse: 75
% 93.60/94.08
% 93.60/94.08 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying clauses:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 724994
% 208.92/209.35 Kept: 103861
% 208.92/209.35 Inuse: 1810
% 208.92/209.35 Deleted: 2477
% 208.92/209.35 Deletedinuse: 75
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 744505
% 208.92/209.35 Kept: 105875
% 208.92/209.35 Inuse: 1864
% 208.92/209.35 Deleted: 2481
% 208.92/209.35 Deletedinuse: 78
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 753582
% 208.92/209.35 Kept: 107889
% 208.92/209.35 Inuse: 1897
% 208.92/209.35 Deleted: 2490
% 208.92/209.35 Deletedinuse: 87
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 765391
% 208.92/209.35 Kept: 110035
% 208.92/209.35 Inuse: 1922
% 208.92/209.35 Deleted: 2492
% 208.92/209.35 Deletedinuse: 89
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 791099
% 208.92/209.35 Kept: 114622
% 208.92/209.35 Inuse: 1947
% 208.92/209.35 Deleted: 2492
% 208.92/209.35 Deletedinuse: 89
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 815632
% 208.92/209.35 Kept: 117269
% 208.92/209.35 Inuse: 1962
% 208.92/209.35 Deleted: 2492
% 208.92/209.35 Deletedinuse: 89
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 828602
% 208.92/209.35 Kept: 119337
% 208.92/209.35 Inuse: 1997
% 208.92/209.35 Deleted: 2494
% 208.92/209.35 Deletedinuse: 91
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 837956
% 208.92/209.35 Kept: 121653
% 208.92/209.35 Inuse: 2022
% 208.92/209.35 Deleted: 2495
% 208.92/209.35 Deletedinuse: 92
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 860572
% 208.92/209.35 Kept: 123903
% 208.92/209.35 Inuse: 2037
% 208.92/209.35 Deleted: 2496
% 208.92/209.35 Deletedinuse: 93
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying clauses:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 879850
% 208.92/209.35 Kept: 127525
% 208.92/209.35 Inuse: 2047
% 208.92/209.35 Deleted: 3193
% 208.92/209.35 Deletedinuse: 93
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 900485
% 208.92/209.35 Kept: 131184
% 208.92/209.35 Inuse: 2057
% 208.92/209.35 Deleted: 3194
% 208.92/209.35 Deletedinuse: 94
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 910900
% 208.92/209.35 Kept: 133623
% 208.92/209.35 Inuse: 2087
% 208.92/209.35 Deleted: 3197
% 208.92/209.35 Deletedinuse: 97
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 967104
% 208.92/209.35 Kept: 140835
% 208.92/209.35 Inuse: 2102
% 208.92/209.35 Deleted: 3197
% 208.92/209.35 Deletedinuse: 97
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1019780
% 208.92/209.35 Kept: 147300
% 208.92/209.35 Inuse: 2107
% 208.92/209.35 Deleted: 3197
% 208.92/209.35 Deletedinuse: 97
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying clauses:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1043561
% 208.92/209.35 Kept: 151047
% 208.92/209.35 Inuse: 2117
% 208.92/209.35 Deleted: 3283
% 208.92/209.35 Deletedinuse: 97
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1100080
% 208.92/209.35 Kept: 158011
% 208.92/209.35 Inuse: 2127
% 208.92/209.35 Deleted: 3285
% 208.92/209.35 Deletedinuse: 99
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1155866
% 208.92/209.35 Kept: 164600
% 208.92/209.35 Inuse: 2132
% 208.92/209.35 Deleted: 3289
% 208.92/209.35 Deletedinuse: 103
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1175934
% 208.92/209.35 Kept: 167983
% 208.92/209.35 Inuse: 2137
% 208.92/209.35 Deleted: 3290
% 208.92/209.35 Deletedinuse: 104
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying clauses:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1192874
% 208.92/209.35 Kept: 172269
% 208.92/209.35 Inuse: 2138
% 208.92/209.35 Deleted: 3420
% 208.92/209.35 Deletedinuse: 105
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1213976
% 208.92/209.35 Kept: 175834
% 208.92/209.35 Inuse: 2140
% 208.92/209.35 Deleted: 3423
% 208.92/209.35 Deletedinuse: 106
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1233558
% 208.92/209.35 Kept: 179360
% 208.92/209.35 Inuse: 2145
% 208.92/209.35 Deleted: 3426
% 208.92/209.35 Deletedinuse: 109
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1239554
% 208.92/209.35 Kept: 181681
% 208.92/209.35 Inuse: 2152
% 208.92/209.35 Deleted: 3450
% 208.92/209.35 Deletedinuse: 110
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1268239
% 208.92/209.35 Kept: 185489
% 208.92/209.35 Inuse: 2162
% 208.92/209.35 Deleted: 3474
% 208.92/209.35 Deletedinuse: 114
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1292266
% 208.92/209.35 Kept: 188645
% 208.92/209.35 Inuse: 2176
% 208.92/209.35 Deleted: 3481
% 208.92/209.35 Deletedinuse: 115
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying clauses:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35 Resimplifying inuse:
% 208.92/209.35 Done
% 208.92/209.35
% 208.92/209.35
% 208.92/209.35 Intermediate Status:
% 208.92/209.35 Generated: 1315753
% 208.92/209.35 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------