TSTP Solution File: SCT053-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT053-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 21:00:51 EDT 2022
% Result : Timeout 300.02s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT053-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 04:09:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.98/1.39 *** allocated 10000 integers for termspace/termends
% 0.98/1.39 *** allocated 10000 integers for clauses
% 0.98/1.39 *** allocated 10000 integers for justifications
% 0.98/1.39 *** allocated 15000 integers for termspace/termends
% 0.98/1.39 *** allocated 22500 integers for termspace/termends
% 0.98/1.39 Bliksem 1.12
% 0.98/1.39
% 0.98/1.39
% 0.98/1.39 Automatic Strategy Selection
% 0.98/1.39
% 0.98/1.39 Clauses:
% 0.98/1.39 [
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.98/1.39 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.98/1.39 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( 'c_Relation_OImage'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.98/1.39 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.98/1.39 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.98/1.39 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.39 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.39 , T, X ) ) ), =( Y, Z ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.39 , T, X ) ) ), =( Z, T ) ],
% 0.98/1.39 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.98/1.39 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.98/1.39 ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.98/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.98/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.98/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.98/1.39 Y, Z ) ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.98/1.39 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Product__Type_OSigma'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.98/1.39 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.98/1.39 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.98/1.39 , T ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.98/1.39 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.98/1.39 ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.98/1.39 , T ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.98/1.39 , Z ) ],
% 0.98/1.39 [ =( 'c_Relation_Oconverse'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.98/1.39 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.98/1.39 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.98/1.39 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.98/1.39 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.98/1.39 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.98/1.39 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.98/1.39 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.98/1.39 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.39 ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.98/1.39 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.98/1.39 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.98/1.39 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.39 , X ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( 'c_Product__Type_OSigma'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.98/1.39 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.98/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.98/1.39 'c_in'( U, T, Z ) ) ],
% 0.98/1.39 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.98/1.39 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.98/1.39 ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.98/1.39 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.98/1.39 ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), X,
% 0.98/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.39 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.98/1.39 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.98/1.39 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), T ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.98/1.39 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.98/1.39 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.39 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.98/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.98/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.98/1.39 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.98/1.39 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.98/1.39 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.98/1.39 X, T ), Y ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.39 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.98/1.39 'tc_bool' ) ) ],
% 0.98/1.39 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.98/1.39 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.98/1.39 , Z, T ), Z ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.98/1.39 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.98/1.39 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.98/1.39 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.98/1.39 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.39 ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.98/1.39 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.98/1.39 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.98/1.39 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.98/1.39 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.98/1.39 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.98/1.39 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.98/1.39 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.98/1.39 [ =( 'c_Product__Type_OSigma'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.98/1.39 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.98/1.39 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.98/1.39 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.98/1.39 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.98/1.39 X, 'tc_bool' ) ), Y ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), X ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.98/1.39 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.98/1.39 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.98/1.39 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.98/1.39 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.98/1.39 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.98/1.39 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.98/1.39 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.39 ) ), Y ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.98/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.98/1.39 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.98/1.39 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.98/1.39 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Equiv__Relations_Oquotient'( T, X, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 ~( 'c_in'( Y, T, Z ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ) ) ), =( Y, Z ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ) ) ), =( Y, Z ) ],
% 0.98/1.39 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.98/1.39 Z ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.98/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.98/1.39 ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.98/1.39 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.39 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.98/1.39 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.98/1.39 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.39 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.39 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Orel__comp'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.98/1.39 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Orel__comp'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.98/1.39 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 T, Z, X ), X ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.98/1.39 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.98/1.39 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.39 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.98/1.39 ) ), Z, X ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.98/1.39 ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.98/1.39 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.98/1.39 'c_in'( X, T, Z ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.39 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.98/1.39 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.98/1.39 Z, T ), T ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.39 ), ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.98/1.39 ) ) ), 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.98/1.39 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.98/1.39 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.98/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.98/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.98/1.39 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.98/1.39 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.98/1.39 U, W ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.98/1.39 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.39 ), Y ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.39 ), Y ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.39 ), Y ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.39 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.98/1.39 , T ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.98/1.39 , T ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.98/1.39 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.98/1.39 ), Y ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.98/1.39 ), Y ) ) ],
% 0.98/1.39 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.98/1.39 ), Y ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.98/1.39 , Z ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.39 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.98/1.39 ), Z ), 'c_in'( X, Y, Z ) ],
% 0.98/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.98/1.39 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.98/1.39 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.98/1.39 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.98/1.39 , U ), U ) ],
% 0.98/1.39 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.98/1.39 , U ), U ) ],
% 0.98/1.39 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.98/1.39 , Z, T ) ) ],
% 0.98/1.39 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.98/1.39 , Z, T ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.98/1.39 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.98/1.39 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.39 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.98/1.39 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.98/1.39 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.39 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.98/1.39 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.98/1.39 Z ) ) ],
% 0.98/1.39 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.98/1.39 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.98/1.39 , Z ) ) ],
% 0.98/1.39 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.39 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.98/1.39 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.98/1.39 , X, 'tc_prod'( Z, Z ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.98/1.39 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.98/1.39 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.98/1.39 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'(
% 0.98/1.39 T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z
% 0.98/1.39 , Y ) ) ],
% 0.98/1.39 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.98/1.39 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.98/1.39 ), ~( 'c_in'( T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~(
% 0.98/1.39 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), 'c_in'( 'c_Pair'( X, T, Y, Y )
% 0.98/1.39 , Z, 'tc_prod'( Y, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.39 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X,
% 0.98/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.98/1.39 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.98/1.39 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.98/1.39 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.39 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.98/1.39 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.98/1.39 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.98/1.39 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.98/1.39 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.39 'tc_bool' ) ), Y, X ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Oconverse'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.98/1.39 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.98/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.98/1.39 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.98/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.98/1.39 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Product__Type_OSigma'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.98/1.39 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.98/1.39 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.98/1.39 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.98/1.39 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.98/1.39 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.98/1.39 , T, Z ) ) ],
% 0.98/1.39 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.98/1.39 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.98/1.39 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.98/1.39 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.98/1.39 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.98/1.39 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.98/1.39 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.98/1.39 , Z ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.98/1.39 Y, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 T, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.98/1.39 Y, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 T, X ), Z, X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.98/1.39 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.39 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.98/1.39 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.98/1.39 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.39 ), =( X, Y ), ~( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( T, U, Z ),
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X,
% 0.98/1.39 'c_Equiv__Relations_Oquotient'( T, U, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.98/1.39 ~( 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.98/1.39 hAPP( X, T ) ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ), X ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.98/1.39 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.98/1.39 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.98/1.39 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.39 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.39 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.98/1.39 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.98/1.39 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.98/1.39 'tc_bool' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.98/1.39 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.98/1.39 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.39 ) ],
% 0.98/1.39 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.98/1.39 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.98/1.39 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.98/1.39 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.98/1.39 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.98/1.39 Z ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.98/1.39 T ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.98/1.39 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.98/1.39 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.98/1.39 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.98/1.39 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.98/1.39 U ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.98/1.39 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.98/1.39 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.98/1.39 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.98/1.39 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.39 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.98/1.39 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.39 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.39 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.39 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.98/1.39 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.39 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.98/1.39 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.98/1.39 , T ), T ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.98/1.39 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.98/1.39 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.98/1.39 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.39 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.98/1.39 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.98/1.39 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.98/1.39 , T ), T ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.98/1.39 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.98/1.39 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.98/1.39 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.98/1.39 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.39 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.98/1.39 ) ), Y ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.39 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.98/1.39 ) ), Y ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.98/1.39 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.98/1.39 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.98/1.39 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.98/1.39 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.98/1.39 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.39 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.98/1.39 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.98/1.39 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.98/1.39 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.98/1.39 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.98/1.39 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.98/1.39 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ),
% 0.98/1.39 'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_lessequals'( hAPP( Y,
% 0.98/1.39 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.98/1.39 ), hAPP( W, 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X,
% 0.98/1.39 Y, W, Z, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Relation_OImage'( 'c_Relation_Oconverse'( X, Z, T ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( U, 'tc_fun'( T, 'tc_bool' ) ), T, Z ),
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( 'c_Relation_OImage'(
% 0.98/1.39 'c_Relation_Oconverse'( Y, Z, T ), 'c_HOL_Ouminus__class_Ouminus'( U,
% 0.98/1.39 'tc_fun'( T, 'tc_bool' ) ), T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( Y, X, Z, T ), U
% 0.98/1.39 , 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.98/1.39 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.98/1.39 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.98/1.39 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.98/1.39 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.98/1.39 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.98/1.39 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.98/1.39 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.98/1.39 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.39 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.98/1.39 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.98/1.39 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.98/1.39 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.98/1.39 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.98/1.39 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.98/1.39 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.98/1.39 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.98/1.39 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.98/1.39 ],
% 0.98/1.39 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.98/1.39 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.98/1.39 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.98/1.39 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.98/1.39 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.98/1.39 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.98/1.39 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.98/1.39 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.98/1.39 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.98/1.39 'tc_prod'( Y, Y ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.98/1.39 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.98/1.39 [ =( 'c_Relation_OImage'( X,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.98/1.39 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.98/1.39 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.98/1.39 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.98/1.39 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.98/1.39 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.98/1.39 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.98/1.39 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.39 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.98/1.39 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.98/1.39 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.98/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.98/1.39 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.98/1.39 T, Z ) ) ],
% 0.98/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.98/1.39 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.98/1.39 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.98/1.39 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 0.98/1.39 V0, 'tc_prod'( T, U ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.98/1.39 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.98/1.39 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.98/1.39 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.98/1.39 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X,
% 0.98/1.39 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.98/1.39 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.98/1.39 Z ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.98/1.39 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.98/1.39 ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.98/1.39 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.98/1.39 ), U ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.98/1.39 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.98/1.39 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.98/1.39 't_a' ), 't_a' ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.98/1.39 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.98/1.39 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.98/1.39 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.98/1.39 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.98/1.39 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.98/1.39 't_a' ), 't_a' ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.98/1.39 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.98/1.39 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.98/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.98/1.39 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.98/1.39 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.98/1.39 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.98/1.39 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.98/1.39 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.98/1.39 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.98/1.39 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.98/1.39 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X,
% 0.98/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.98/1.39 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.98/1.39 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.98/1.39 ), 'tc_prod'( T, T ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.98/1.39 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.98/1.39 T ), 'tc_prod'( T, T ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.98/1.39 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.98/1.39 'c_in'( W, Y, Z ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.98/1.39 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.98/1.39 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.98/1.39 ~( 'c_in'( W, T, U ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ),
% 0.98/1.39 'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 0.98/1.39 'tc_bool' ) ), 'c_in'(
% 0.98/1.39 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.98/1.39 , X, Z ), ~( 'c_lessequals'( X, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.98/1.39 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.98/1.39 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Z, T ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.98/1.39 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.98/1.39 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.39 Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.98/1.39 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.98/1.39 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.98/1.39 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.98/1.39 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ =( X, Y ), =( X, Z ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OLin',
% 0.98/1.39 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, Z, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 T, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Z,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), T
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , =( Y, T ), =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( U, T ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Oabove'( Z, T, Y ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( T, Y ), 'c_in'( 'c_Pair'( X, T,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( X, T ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, T, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( T, X ), 'c_in'( 'c_Pair'( T, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, T,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), ~( 'c_in'( Z,
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, T ), 'c_in'(
% 0.98/1.39 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, U ), =( X, U ), =( X, Y )
% 0.98/1.39 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, T ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, T ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, U ), ~( 'c_in'( 'c_Pair'(
% 0.98/1.39 T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, T,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, U ), =( X, Y ), ~( 'c_in'(
% 0.98/1.39 Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ =( X, Y ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.98/1.39 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.98/1.39 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.98/1.39 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ),
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.98/1.39 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.98/1.39 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.98/1.39 ) ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.39 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.98/1.39 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.98/1.39 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.98/1.39 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.98/1.39 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.98/1.39 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.98/1.39 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.98/1.39 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.98/1.39 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.98/1.39 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.39 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.98/1.39 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.98/1.39 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.98/1.39 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.98/1.39 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.98/1.39 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.98/1.39 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.98/1.39 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.98/1.39 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.39 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.98/1.39 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, T ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.98/1.39 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, T ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.98/1.39 Y, Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( Z, T ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.98/1.39 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.98/1.39 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.98/1.39 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, Y, Z ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.98/1.39 ~( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z,
% 0.98/1.39 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, W, Z ) ), 'c_in'(
% 0.98/1.39 'c_Pair'( T, X, Z, Z ), W, 'tc_prod'( Z, Z ) ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, T, U, U ), W, 'tc_prod'( U, U ) ) )
% 0.98/1.39 , ~( 'c_in'( T, Y, U ) ), ~( 'c_in'( Z, X, U ) ), ~( 'c_in'( Y,
% 0.98/1.39 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.98/1.39 , ~( 'c_in'( X, 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U,
% 0.98/1.39 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( V0, W, U ) ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.98/1.39 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.98/1.39 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.98/1.39 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.98/1.39 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.98/1.39 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , =( Y, X ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.98/1.39 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.98/1.39 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.39 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.98/1.39 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.98/1.39 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.98/1.39 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.98/1.39 , 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.98/1.39 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.98/1.39 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.39 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.39 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.98/1.39 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.39 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.98/1.39 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.98/1.39 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.98/1.39 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.39 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.39 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.98/1.39 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.98/1.39 X, U ), W ) ) ],
% 0.98/1.39 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.98/1.39 X, U ), W ) ) ],
% 0.98/1.39 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.39 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.98/1.39 , T ) ) ) ],
% 0.98/1.39 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.98/1.39 Y, Z ) ) ],
% 0.98/1.39 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.98/1.39 'c_Relation_Osym'( X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.98/1.39 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.98/1.39 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.98/1.39 'c_Relation_Osym'( X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.98/1.39 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.98/1.39 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.98/1.39 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.98/1.39 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.98/1.39 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.98/1.39 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.98/1.39 'c_Relation_Osym'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.98/1.39 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.98/1.39 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.98/1.39 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.98/1.39 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.98/1.39 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.98/1.39 Y ) ],
% 0.98/1.39 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.98/1.39 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.98/1.39 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.98/1.39 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.98/1.39 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.98/1.39 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 X, Y ), X, Y, Y, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.98/1.39 'c_Relation_Osym'( X, Z ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.98/1.39 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.98/1.39 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.98/1.39 'c_Relation_OId'( X ) ) ],
% 0.98/1.39 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.98/1.39 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.98/1.39 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.98/1.39 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.98/1.39 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.98/1.39 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.98/1.39 , Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.98/1.39 'c_Relation_Otrans'( X, Z ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.98/1.39 'c_Relation_OId__on'( X, Y ) ) ],
% 0.98/1.39 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.98/1.39 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.98/1.39 , Y ), X, Y ) ],
% 0.98/1.39 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.98/1.39 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.98/1.39 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.98/1.39 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.98/1.39 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.98/1.39 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.98/1.39 X ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.98/1.39 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.98/1.39 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.98/1.39 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.98/1.39 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.98/1.39 Y, Z ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.98/1.39 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.39 Y, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_in'( hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', X ), Y )
% 0.98/1.39 , Z ), 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.98/1.39 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.98/1.39 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.98/1.39 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ),
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ),
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ),
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ), =( X, Y ) ],
% 0.98/1.39 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.98/1.39 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.98/1.39 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.98/1.39 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.98/1.39 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.98/1.39 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.98/1.39 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.98/1.39 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.98/1.39 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.98/1.39 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.98/1.39 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.98/1.39 ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.98/1.39 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.39 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.39 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, X ), 'c_in'(
% 0.98/1.39 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), X ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, Y ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), Y ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, T ), ~( 'c_in'( 'c_Pair'( X, U,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), ~( 'c_in'( Z,
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( 'c_Pair'( U, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( Y, T ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.98/1.39 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ =( X, Y ), =( Y, X ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.98/1.39 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, X ), 'c_in'(
% 0.98/1.39 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), X ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Y ), Z ), T ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( Y, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( Z, T ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( Y, T ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.98/1.39 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, X ), 'c_in'(
% 0.98/1.39 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), X ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ =( X, Y ), =( Z, X ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OLin',
% 0.98/1.39 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, X ), 'c_in'(
% 0.98/1.39 'c_Pair'( Z, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', T ), Y ), X ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( Z, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), T, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , =( X, T ), =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ),
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), T ),
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( Y, T ), 'c_in'( 'c_Pair'( T, X,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( X, T ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), T ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( Y, T ), 'c_in'( 'c_Pair'( X, T,
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.39 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( 'c_Pair'( U, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), ~( 'c_in'( 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), X ), Y ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.98/1.39 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, Y ), 'c_in'(
% 0.98/1.39 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), Y ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.98/1.39 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.39 ), =( X, T ), =( Y, T ), =( X, Y ), ~( 'c_in'( Z,
% 0.98/1.39 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.98/1.39 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.39 'tc_bool' ) ) ), =( T, U ) ],
% 0.98/1.39 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 0.98/1.39 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.98/1.39 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.98/1.39 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.98/1.39 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.98/1.39 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.98/1.39 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.98/1.39 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.98/1.39 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.98/1.39 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.98/1.39 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.98/1.39 [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U
% 0.98/1.39 ), X, 'tc_prod'( T, U ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~(
% 0.98/1.39 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.98/1.39 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.98/1.39 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.98/1.39 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.98/1.39 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.98/1.39 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.98/1.39 Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.98/1.39 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.98/1.39 Z ) ) ) ],
% 0.98/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.98/1.40 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.98/1.40 Z ) ) ) ],
% 0.98/1.40 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.98/1.40 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.40 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.98/1.40 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.98/1.40 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.40 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.40 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.98/1.40 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.98/1.40 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.98/1.40 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.98/1.40 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.98/1.40 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.40 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.40 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.40 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.98/1.40 Z, Z ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.98/1.40 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.40 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.40 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.98/1.40 , 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.98/1.40 ), 'tc_prod'( Y, Y ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.98/1.40 ), 'tc_prod'( Y, Y ) ) ],
% 0.98/1.40 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.98/1.40 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.98/1.40 T, Z ) ) ],
% 0.98/1.40 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.98/1.40 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.40 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.98/1.40 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.98/1.40 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.40 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.98/1.40 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.98/1.40 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.98/1.40 ) ],
% 0.98/1.40 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.98/1.40 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.40 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.98/1.40 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.98/1.40 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.98/1.40 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.98/1.40 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.98/1.40 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.98/1.40 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.98/1.40 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.98/1.40 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.98/1.40 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.98/1.40 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.98/1.40 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.98/1.40 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.98/1.40 , Z ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.98/1.40 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.98/1.40 , Z ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.98/1.40 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.98/1.40 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.98/1.40 Z, V0 ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.40 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.98/1.40 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.98/1.40 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.40 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.98/1.40 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.98/1.40 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.98/1.40 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.40 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.98/1.40 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.40 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.98/1.40 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.98/1.40 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.40 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.98/1.40 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.40 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.98/1.40 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.98/1.40 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.40 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.98/1.40 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.40 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.98/1.40 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.98/1.40 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.40 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
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% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.98/1.40 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.98/1.40 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.40 ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.98/1.40 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
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% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 0.98/1.40 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
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% 0.98/1.40 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
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% 0.98/1.40 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.98/1.40 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
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% 0.98/1.40 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
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% 0.98/1.40 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.98/1.40 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.98/1.40 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
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% 0.98/1.40 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
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% 0.98/1.40 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.98/1.40 ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.98/1.40 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.98/1.40 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
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% 0.98/1.40 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.98/1.40 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
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% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
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% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P_H____'( X ), 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.40 ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
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% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.98/1.40 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
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% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
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% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
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% 0.98/1.40 'c_Arrow__Order__Mirabelle_Obelow', 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.98/1.40 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P____' ), 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.40 ) ],
% 0.98/1.40 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.98/1.40 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.98/1.40 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
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% 0.98/1.40 'c_Arrow__Order__Mirabelle_Obelow', 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.98/1.40 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'c_COMBC'( 'c_COMBC'(
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% 0.98/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
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% 0.98/1.40 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Obelow', 'v_P____', 'tc_fun'(
% 0.98/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_b____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_a____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.98/1.40 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'v_F'( 'c_COMBC'( 'c_COMBC'( 'c_COMBB'(
% 0.98/1.40 'c_Arrow__Order__Mirabelle_Obelow', 'c_COMBC'( 'c_COMBC'( 'c_COMBB'(
% 0.98/1.40 'c_Arrow__Order__Mirabelle_Obelow', 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_b____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_a____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( 'v_b____',
% 0.98/1.40 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'c_COMBC'( 'c_COMBC'(
% 0.98/1.40 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Obelow', 'c_COMBC'( 'c_COMBC'(
% 0.98/1.40 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Obelow', 'c_COMBC'( 'c_COMBC'(
% 0.98/1.40 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Obelow', 'v_P____', 'tc_fun'(
% 0.98/1.40 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_c____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_b____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_a____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_a____',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'v_c____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.40 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.40 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.40 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.40 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.40 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.98/1.40 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.40 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.98/1.40 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.40 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.98/1.40 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.40 'class_Orderings_Opreorder'( Y ) ) ],
% 0.98/1.40 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.40 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.40 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.40 'class_Orderings_Oorder'( Y ) ) ],
% 0.98/1.40 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.98/1.40 Y ) ) ],
% 0.98/1.40 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.98/1.40 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.98/1.40 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'c_fequal'( X, X, Y ) ],
% 0.98/1.40 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.98/1.40 ] .
% 0.98/1.40
% 0.98/1.40
% 0.98/1.40 percentage equality = 0.265670, percentage horn = 0.866987
% 0.98/1.40 This is a problem with some equality
% 0.98/1.40
% 0.98/1.40
% 0.98/1.40
% 0.98/1.40 Options Used:
% 0.98/1.40
% 0.98/1.40 useres = 1
% 0.98/1.40 useparamod = 1
% 0.98/1.40 useeqrefl = 1
% 0.98/1.40 useeqfact = 1
% 0.98/1.40 usefactor = 1
% 0.98/1.40 usesimpsplitting = 0
% 0.98/1.40 usesimpdemod = 5
% 0.98/1.40 usesimpres = 3
% 0.98/1.40
% 0.98/1.40 resimpinuse = 1000
% 0.98/1.40 resimpclauses = 20000
% 0.98/1.40 substype = eqrewr
% 0.98/1.40 backwardsubs = 1
% 0.98/1.40 selectoldest = 5
% 0.98/1.40
% 0.98/1.40 litorderings [0] = split
% 0.98/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.40
% 0.98/1.40 termordering = kbo
% 0.98/1.40
% 0.98/1.40 litapriori = 0
% 0.98/1.40 termapriori = 1
% 0.98/1.40 litaposteriori = 0
% 0.98/1.40 termaposteriori = 0
% 0.98/1.40 demodaposteriori = 0
% 0.98/1.40 ordereqreflfact = 0
% 0.98/1.40
% 0.98/1.40 litselect = negord
% 0.98/1.40
% 0.98/1.40 maxweight = 15
% 0.98/1.40 maxdepth = 30000
% 0.98/1.40 maxlength = 115
% 0.98/1.40 maxnrvars = 195
% 0.98/1.40 excuselevel = 1
% 0.98/1.40 increasemaxweight = 1
% 0.98/1.40
% 0.98/1.40 maxselected = 10000000
% 0.98/1.40 maxnrclauses = 10000000
% 0.98/1.40
% 0.98/1.40 showgenerated = 0
% 0.98/1.40 showkept = 0
% 0.98/1.40 showselected = 0
% 0.98/1.40 showdeleted = 0
% 0.98/1.40 showresimp = 1
% 0.98/1.40 showstatus = 2000
% 0.98/1.40
% 0.98/1.40 prologoutput = 1
% 0.98/1.40 nrgoals = 5000000
% 0.98/1.40 totalproof = 1
% 1.02/1.46
% 1.02/1.46 Symbols occurring in the translation:
% 1.02/1.46
% 1.02/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.02/1.46 . [1, 2] (w:1, o:99, a:1, s:1, b:0),
% 1.02/1.46 ! [4, 1] (w:0, o:74, a:1, s:1, b:0),
% 1.02/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.46 'tc_bool' [43, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.02/1.46 'tc_fun' [44, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.02/1.46 'c_Lattices_Oupper__semilattice__class_Osup' [45, 3] (w:1, o:147, a:1
% 1.02/1.46 , s:1, b:0),
% 1.02/1.46 'c_Lattices_Olower__semilattice__class_Oinf' [46, 3] (w:1, o:148, a:1
% 1.02/1.46 , s:1, b:0),
% 1.02/1.46 'class_Lattices_Odistrib__lattice' [47, 1] (w:1, o:79, a:1, s:1, b:0)
% 1.02/1.46 ,
% 1.02/1.46 'class_Lattices_Oupper__semilattice' [51, 1] (w:1, o:80, a:1, s:1, b:
% 1.02/1.46 0),
% 1.02/1.46 'tc_prod' [55, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_OImage' [56, 4] (w:1, o:172, a:1, s:1, b:0),
% 1.02/1.46 'c_Set_Oinsert' [57, 3] (w:1, o:155, a:1, s:1, b:0),
% 1.02/1.46 'c_COMBK' [59, 3] (w:1, o:156, a:1, s:1, b:0),
% 1.02/1.46 hAPP [61, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.02/1.46 'c_HOL_Ominus__class_Ominus' [62, 3] (w:1, o:157, a:1, s:1, b:0),
% 1.02/1.46 'c_Orderings_Obot__class_Obot' [64, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.02/1.46 'class_OrderedGroup_Oab__group__add' [65, 1] (w:1, o:82, a:1, s:1, b:
% 1.02/1.46 0),
% 1.02/1.46 'c_Set_Oimage' [69, 4] (w:1, o:174, a:1, s:1, b:0),
% 1.02/1.46 'c_HOL_Ouminus__class_Ouminus' [70, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.02/1.46 'class_Lattices_Oboolean__algebra' [71, 1] (w:1, o:83, a:1, s:1, b:0)
% 1.02/1.46 ,
% 1.02/1.46 'c_lessequals' [72, 3] (w:1, o:158, a:1, s:1, b:0),
% 1.02/1.46 'class_Lattices_Olattice' [73, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.02/1.46 'class_Lattices_Olower__semilattice' [74, 1] (w:1, o:85, a:1, s:1, b:
% 1.02/1.46 0),
% 1.02/1.46 'c_in' [78, 3] (w:1, o:159, a:1, s:1, b:0),
% 1.02/1.46 'c_Product__Type_OSigma' [81, 4] (w:1, o:175, a:1, s:1, b:0),
% 1.02/1.46 hBOOL [82, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_Oconverse' [85, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_Ototal__on' [86, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.02/1.46 'c_Order__Relation_Ostrict__linear__order__on' [87, 3] (w:1, o:160
% 1.02/1.46 , a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_ODomain' [88, 3] (w:1, o:152, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_ORange' [89, 3] (w:1, o:153, a:1, s:1, b:0),
% 1.02/1.46 'c_Transitive__Closure_Ortrancl' [90, 2] (w:1, o:128, a:1, s:1, b:0)
% 1.02/1.46 ,
% 1.02/1.46 'class_OrderedGroup_Opordered__ab__group__add' [91, 1] (w:1, o:87, a:
% 1.02/1.46 1, s:1, b:0),
% 1.02/1.46 'class_Orderings_Obot' [92, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.02/1.46 'c_Pair' [93, 4] (w:1, o:176, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_Osym' [94, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.02/1.46 'class_Lattices_Obounded__lattice' [95, 1] (w:1, o:89, a:1, s:1, b:0)
% 1.02/1.46 ,
% 1.02/1.46 'c_Wellfounded_Owf' [96, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_Orefl__on' [97, 3] (w:1, o:154, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_Otrans' [99, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.02/1.46 'c_Equiv__Relations_Oquotient' [100, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.02/1.46
% 1.02/1.46 'class_OrderedGroup_Ogroup__add' [101, 1] (w:1, o:90, a:1, s:1, b:0)
% 1.02/1.46 ,
% 1.02/1.46 'c_Relation_Orel__comp' [105, 5] (w:1, o:185, a:1, s:1, b:0),
% 1.02/1.46 'class_OrderedGroup_Olordered__ab__group__add' [106, 1] (w:1, o:91
% 1.02/1.46 , a:1, s:1, b:0),
% 1.02/1.46 'c_List_Osko__Recdef__Xcuts__eq__1__1' [108, 6] (w:1, o:193, a:1, s:1
% 1.02/1.46 , b:0),
% 1.02/1.46 'c_Recdef_Ocut' [109, 5] (w:1, o:186, a:1, s:1, b:0),
% 1.02/1.46 'c_COMBB' [111, 5] (w:1, o:187, a:1, s:1, b:0),
% 1.02/1.46 'c_Equiv__Relations_Oequiv' [112, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_OId' [113, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.02/1.46 'c_Relation_Oirrefl' [114, 2] (w:1, o:132, a:1, s:1, b:0),
% 1.02/1.46 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [115, 4]
% 1.02/1.46 (w:1, o:177, a:1, s:1, b:0),
% 1.02/1.46 'c_Transitive__Closure_Otrancl' [116, 2] (w:1, o:133, a:1, s:1, b:0)
% 1.02/1.46 ,
% 1.02/1.46 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [117, 4]
% 1.02/1.46 (w:1, o:178, a:1, s:1, b:0),
% 1.02/1.46 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [121, 3]
% 1.02/1.46 (w:1, o:163, a:1, s:1, b:0),
% 1.02/1.46 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [122, 3] (w:1, o:
% 1.02/1.46 164, a:1, s:1, b:0),
% 1.02/1.46 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [123, 5] (w:1, o:188
% 6.13/6.51 , a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [124, 5] (w:1, o:
% 6.13/6.51 189, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [125, 3] (w:1
% 6.13/6.51 , o:165, a:1, s:1, b:0),
% 6.13/6.51 'c_Wellfounded_Oacc' [126, 2] (w:1, o:134, a:1, s:1, b:0),
% 6.13/6.51 'v_sko__Wellfounded__Xacc__Xinducts__1' [127, 2] (w:1, o:135, a:1, s:
% 6.13/6.51 1, b:0),
% 6.13/6.51 't_a' [128, 0] (w:1, o:52, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [129, 3]
% 6.13/6.51 (w:1, o:166, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [130, 3] (w:
% 6.13/6.51 1, o:167, a:1, s:1, b:0),
% 6.13/6.51 'v_sko__Wellfounded__Xacc__Xinduct__1' [131, 2] (w:1, o:136, a:1, s:1
% 6.13/6.51 , b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [132, 3] (w:1
% 6.13/6.51 , o:168, a:1, s:1, b:0),
% 6.13/6.51 'c_Relation_OId__on' [133, 2] (w:1, o:137, a:1, s:1, b:0),
% 6.13/6.51 'c_Relation_Oantisym' [134, 2] (w:1, o:138, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [135, 2] (w:1
% 6.13/6.51 , o:139, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [136, 2] (w:1, o:
% 6.13/6.51 140, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1' [137, 5] (w:1
% 6.13/6.51 , o:190, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [138, 3] (w:1, o:169
% 6.13/6.51 , a:1, s:1, b:0),
% 6.13/6.51 'v_r' [139, 0] (w:1, o:53, a:1, s:1, b:0),
% 6.13/6.51 't_b' [140, 0] (w:1, o:54, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [141, 2] (w:1, o:
% 6.13/6.51 141, a:1, s:1, b:0),
% 6.13/6.51 'c_Relation_Osingle__valued' [142, 3] (w:1, o:150, a:1, s:1, b:0),
% 6.13/6.51 'c_Nitpick_Orefl_H' [143, 2] (w:1, o:142, a:1, s:1, b:0),
% 6.13/6.51 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [144, 2] (w:1, o:143
% 6.13/6.51 , a:1, s:1, b:0),
% 6.13/6.51 'c_split' [145, 4] (w:1, o:179, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [146, 4] (w:1, o:180
% 6.13/6.51 , a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [147, 4] (w:1, o:
% 6.13/6.51 181, a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [149, 4] (w:1, o:182
% 6.13/6.51 , a:1, s:1, b:0),
% 6.13/6.51 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [150, 4] (w:1, o:
% 6.13/6.51 183, a:1, s:1, b:0),
% 6.13/6.51 'c_Arrow__Order__Mirabelle_OLin' [152, 0] (w:1, o:56, a:1, s:1, b:0)
% 6.13/6.51 ,
% 6.13/6.51 'tc_Arrow__Order__Mirabelle_Oalt' [153, 0] (w:1, o:57, a:1, s:1, b:0)
% 6.13/6.51 ,
% 6.13/6.51 'c_Arrow__Order__Mirabelle_Oabove' [154, 3] (w:1, o:170, a:1, s:1, b:
% 6.13/6.51 0),
% 6.13/6.51 'class_Orderings_Olinorder' [156, 1] (w:1, o:93, a:1, s:1, b:0),
% 6.13/6.51 'class_Orderings_Opreorder' [158, 1] (w:1, o:95, a:1, s:1, b:0),
% 6.13/6.51 'class_Orderings_Oorder' [159, 1] (w:1, o:94, a:1, s:1, b:0),
% 6.13/6.51 'class_HOL_Oord' [163, 1] (w:1, o:96, a:1, s:1, b:0),
% 6.13/6.51 'c_Relation_Oinv__image' [165, 4] (w:1, o:173, a:1, s:1, b:0),
% 6.13/6.51 'c_Arrow__Order__Mirabelle_Obelow' [167, 0] (w:1, o:62, a:1, s:1, b:0
% 6.13/6.51 ),
% 6.13/6.51 'c_Equiv__Relations_Ocongruent' [169, 4] (w:1, o:184, a:1, s:1, b:0)
% 6.13/6.51 ,
% 6.13/6.51 'c_Equiv__Relations_Ocongruent2' [171, 6] (w:1, o:194, a:1, s:1, b:0)
% 6.13/6.51 ,
% 6.13/6.51 'c_Arrow__Order__Mirabelle_Omkbot' [172, 2] (w:1, o:144, a:1, s:1, b:
% 6.13/6.51 0),
% 6.13/6.51 'c_Arrow__Order__Mirabelle_Omktop' [173, 2] (w:1, o:145, a:1, s:1, b:
% 6.13/6.51 0),
% 6.13/6.51 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [174, 2] (w:1, o:
% 6.13/6.51 146, a:1, s:1, b:0),
% 6.13/6.51 'c_FunDef_Oin__rel' [179, 5] (w:1, o:191, a:1, s:1, b:0),
% 6.13/6.51 'v_a____' [180, 0] (w:1, o:65, a:1, s:1, b:0),
% 6.13/6.51 'v_b____' [181, 0] (w:1, o:66, a:1, s:1, b:0),
% 6.13/6.51 'v_P____' [182, 0] (w:1, o:67, a:1, s:1, b:0),
% 6.13/6.51 'v_P_H____' [184, 1] (w:1, o:97, a:1, s:1, b:0),
% 6.13/6.51 'v_F' [187, 1] (w:1, o:98, a:1, s:1, b:0),
% 6.13/6.51 'v_c____' [188, 0] (w:1, o:69, a:1, s:1, b:0),
% 6.13/6.51 'tc_Arrow__Order__Mirabelle_Oindi' [189, 0] (w:1, o:70, a:1, s:1, b:0
% 6.13/6.51 ),
% 6.13/6.51 'c_COMBC' [190, 5] (w:1, o:192, a:1, s:1, b:0),
% 6.13/6.51 'c_Arrow__Order__Mirabelle_OProf' [191, 0] (w:1, o:71, a:1, s:1, b:0)
% 6.13/6.51 ,
% 6.13/6.51 'c_fequal' [194, 3] (w:1, o:171, a:1, s:1, b:0).
% 6.13/6.51
% 6.13/6.51
% 6.13/6.51 Starting Search:
% 6.13/6.51
% 6.13/6.51 Resimplifying inuse:
% 6.13/6.51 Done
% 6.13/6.51
% 6.13/6.51
% 6.13/6.51 Intermediate Status:
% 6.13/6.51 Generated: 6226
% 101.53/101.95 Kept: 2008
% 101.53/101.95 Inuse: 185
% 101.53/101.95 Deleted: 5
% 101.53/101.95 Deletedinuse: 0
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 13694
% 101.53/101.95 Kept: 4027
% 101.53/101.95 Inuse: 297
% 101.53/101.95 Deleted: 9
% 101.53/101.95 Deletedinuse: 0
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 21303
% 101.53/101.95 Kept: 6027
% 101.53/101.95 Inuse: 428
% 101.53/101.95 Deleted: 14
% 101.53/101.95 Deletedinuse: 4
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 28052
% 101.53/101.95 Kept: 8098
% 101.53/101.95 Inuse: 473
% 101.53/101.95 Deleted: 17
% 101.53/101.95 Deletedinuse: 6
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 39002
% 101.53/101.95 Kept: 10102
% 101.53/101.95 Inuse: 570
% 101.53/101.95 Deleted: 20
% 101.53/101.95 Deletedinuse: 8
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 50145
% 101.53/101.95 Kept: 12120
% 101.53/101.95 Inuse: 636
% 101.53/101.95 Deleted: 23
% 101.53/101.95 Deletedinuse: 8
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 78886
% 101.53/101.95 Kept: 15945
% 101.53/101.95 Inuse: 693
% 101.53/101.95 Deleted: 27
% 101.53/101.95 Deletedinuse: 9
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 96138
% 101.53/101.95 Kept: 17952
% 101.53/101.95 Inuse: 698
% 101.53/101.95 Deleted: 27
% 101.53/101.95 Deletedinuse: 9
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 105528
% 101.53/101.95 Kept: 19957
% 101.53/101.95 Inuse: 715
% 101.53/101.95 Deleted: 29
% 101.53/101.95 Deletedinuse: 10
% 101.53/101.95
% 101.53/101.95 Resimplifying clauses:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 116550
% 101.53/101.95 Kept: 21996
% 101.53/101.95 Inuse: 748
% 101.53/101.95 Deleted: 395
% 101.53/101.95 Deletedinuse: 11
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 125958
% 101.53/101.95 Kept: 24026
% 101.53/101.95 Inuse: 798
% 101.53/101.95 Deleted: 413
% 101.53/101.95 Deletedinuse: 13
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 136912
% 101.53/101.95 Kept: 26107
% 101.53/101.95 Inuse: 847
% 101.53/101.95 Deleted: 416
% 101.53/101.95 Deletedinuse: 16
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 152707
% 101.53/101.95 Kept: 28586
% 101.53/101.95 Inuse: 871
% 101.53/101.95 Deleted: 420
% 101.53/101.95 Deletedinuse: 20
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 171483
% 101.53/101.95 Kept: 30606
% 101.53/101.95 Inuse: 907
% 101.53/101.95 Deleted: 426
% 101.53/101.95 Deletedinuse: 26
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 195066
% 101.53/101.95 Kept: 32889
% 101.53/101.95 Inuse: 930
% 101.53/101.95 Deleted: 438
% 101.53/101.95 Deletedinuse: 38
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 213792
% 101.53/101.95 Kept: 34919
% 101.53/101.95 Inuse: 952
% 101.53/101.95 Deleted: 438
% 101.53/101.95 Deletedinuse: 38
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 229934
% 101.53/101.95 Kept: 36988
% 101.53/101.95 Inuse: 1007
% 101.53/101.95 Deleted: 441
% 101.53/101.95 Deletedinuse: 41
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 248302
% 101.53/101.95 Kept: 39010
% 101.53/101.95 Inuse: 1045
% 101.53/101.95 Deleted: 441
% 101.53/101.95 Deletedinuse: 41
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying clauses:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 265590
% 101.53/101.95 Kept: 41026
% 101.53/101.95 Inuse: 1074
% 101.53/101.95 Deleted: 1086
% 101.53/101.95 Deletedinuse: 41
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 282133
% 101.53/101.95 Kept: 43646
% 101.53/101.95 Inuse: 1082
% 101.53/101.95 Deleted: 1086
% 101.53/101.95 Deletedinuse: 41
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 297297
% 101.53/101.95 Kept: 45698
% 101.53/101.95 Inuse: 1092
% 101.53/101.95 Deleted: 1086
% 101.53/101.95 Deletedinuse: 41
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 309714
% 101.53/101.95 Kept: 47703
% 101.53/101.95 Inuse: 1128
% 101.53/101.95 Deleted: 1096
% 101.53/101.95 Deletedinuse: 47
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 331978
% 101.53/101.95 Kept: 49711
% 101.53/101.95 Inuse: 1154
% 101.53/101.95 Deleted: 1104
% 101.53/101.95 Deletedinuse: 51
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 351633
% 101.53/101.95 Kept: 52326
% 101.53/101.95 Inuse: 1193
% 101.53/101.95 Deleted: 1104
% 101.53/101.95 Deletedinuse: 51
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 Done
% 101.53/101.95
% 101.53/101.95
% 101.53/101.95 Intermediate Status:
% 101.53/101.95 Generated: 368588
% 101.53/101.95 Kept: 54346
% 101.53/101.95 Inuse: 1226
% 101.53/101.95 Deleted: 1108
% 101.53/101.95 Deletedinuse: 55
% 101.53/101.95
% 101.53/101.95 Resimplifying inuse:
% 101.53/101.95 DonCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------