TSTP Solution File: SCT046-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT046-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 21:00:48 EDT 2022
% Result : Timeout 300.05s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT046-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jul 2 02:00:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.94/1.31 *** allocated 10000 integers for termspace/termends
% 0.94/1.31 *** allocated 10000 integers for clauses
% 0.94/1.31 *** allocated 10000 integers for justifications
% 0.94/1.31 *** allocated 15000 integers for termspace/termends
% 0.94/1.31 *** allocated 22500 integers for termspace/termends
% 0.94/1.31 Bliksem 1.12
% 0.94/1.31
% 0.94/1.31
% 0.94/1.31 Automatic Strategy Selection
% 0.94/1.31
% 0.94/1.31 Clauses:
% 0.94/1.31 [
% 0.94/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.94/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.31 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.31 , X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.94/1.31 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.94/1.31 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.94/1.31 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.94/1.31 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.94/1.31 'tc_bool' ) ), X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.31 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.94/1.31 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.94/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.94/1.31 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ =( 'c_Relation_OImage'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.31 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.31 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.94/1.31 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.94/1.31 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.31 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.94/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.31 , T, X ) ) ), =( Y, Z ) ],
% 0.94/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.31 , T, X ) ) ), =( Z, T ) ],
% 0.94/1.31 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.31 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.94/1.31 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.31 ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.31 ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.94/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.94/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.94/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.31 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.94/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.94/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.31 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.94/1.31 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.94/1.31 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.31 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.31 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.31 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.94/1.31 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.94/1.31 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.31 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.31 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.94/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Z ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.94/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), T ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.31 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.94/1.31 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.31 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.94/1.31 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.94/1.31 X, T ), Y ) ) ) ],
% 0.94/1.31 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.94/1.31 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.94/1.31 , Z, T ), Z ) ) ],
% 0.94/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.94/1.31 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.94/1.31 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.94/1.31 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.31 ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.31 ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.94/1.31 ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.31 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.94/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.94/1.31 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.94/1.31 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.94/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.94/1.31 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.94/1.31 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.94/1.31 X, 'tc_bool' ) ), Y ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.31 'tc_bool' ) ), X ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.31 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.31 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.94/1.31 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.94/1.31 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.94/1.31 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.94/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.94/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.94/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.31 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.94/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.94/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.94/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.31 ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.31 ],
% 0.94/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.31 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.31 ],
% 0.94/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.94/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.94/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.94/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.94/1.31 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.94/1.31 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.31 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.31 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.94/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.31 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_List_Oset'( X, Y ), 'c_List_Oset'(
% 0.94/1.31 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.94/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.94/1.31 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.94/1.31 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.31 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Relation_Oconverse'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.94/1.31 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.94/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.31 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.94/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.31 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.31 ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.94/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.31 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.94/1.31 Y, Z ) ) ],
% 0.94/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.31 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.94/1.31 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.94/1.31 ) ) ],
% 0.94/1.31 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.94/1.31 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.94/1.31 'c_in'( Y, X, T ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.94/1.31 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.94/1.31 'c_in'( Y, X, T ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.94/1.31 T, X, Z ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.94/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.94/1.31 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.94/1.31 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.94/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.31 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.31 ) ],
% 0.94/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.31 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.31 ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Relation_Orel__comp'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.31 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.94/1.31 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Relation_Orel__comp'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.31 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.94/1.31 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.94/1.31 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.94/1.31 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 Z, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 T, Z, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.94/1.31 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.94/1.31 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 Z, T, X ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 T, Z, X ), X ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.94/1.31 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.94/1.31 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.94/1.31 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.94/1.31 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.31 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.94/1.31 ) ), Z, X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.94/1.31 ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.94/1.31 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.31 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.31 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.94/1.31 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.94/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.31 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.94/1.31 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.94/1.31 Z, T ), T ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.94/1.31 , Z ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.94/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.94/1.31 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.94/1.31 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.94/1.31 U, W ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.94/1.31 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.94/1.31 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.94/1.31 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.94/1.31 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.94/1.31 X, Z, T ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.94/1.31 X, Z, T ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.94/1.31 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.94/1.31 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.94/1.31 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.94/1.31 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.94/1.31 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.94/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Z ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Z ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.94/1.31 , T ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.94/1.31 , T ) ) ) ],
% 0.94/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.94/1.31 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.94/1.31 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.94/1.31 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.94/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.94/1.31 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.94/1.31 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.94/1.31 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.94/1.31 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.94/1.31 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.94/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.94/1.31 ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.94/1.31 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ) ],
% 0.94/1.31 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.94/1.31 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.94/1.31 ), ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.94/1.31 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), hBOOL( 'c_in'( 'c_Pair'( X, T,
% 0.94/1.31 Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.94/1.31 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.94/1.31 , Y, T, T ), Z, 'tc_prod'( T, T ) ) ), =( X, Y ), ~( hBOOL( 'c_in'(
% 0.94/1.31 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ),
% 0.94/1.31 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.31 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), 't_a',
% 0.94/1.31 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a',
% 0.94/1.31 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' )
% 0.94/1.31 , 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' )
% 0.94/1.31 ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.94/1.31 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.31 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.94/1.31 'c_in'( X, T, Z ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.94/1.31 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.94/1.31 'c_in'( X, Y, Z ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.94/1.31 'tc_bool' ) ), X ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.94/1.31 Y, X ), Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 T, X ), Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.94/1.31 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.94/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.94/1.31 Y, X ), Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.31 T, X ), Z, X ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.94/1.31 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.94/1.31 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.94/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.94/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.94/1.31 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.94/1.31 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.94/1.31 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.94/1.31 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.94/1.31 ],
% 0.94/1.31 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.94/1.31 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.94/1.31 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.31 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.31 T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.94/1.31 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.94/1.31 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.94/1.31 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.94/1.31 Z, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.31 T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.94/1.31 'c_Set_Oinsert'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.94/1.31 hAPP( X, T ) ) ) ],
% 0.94/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.94/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.94/1.31 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.94/1.31 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.31 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.94/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.31 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.94/1.31 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.94/1.31 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.94/1.31 'tc_bool' ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.94/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.94/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.94/1.31 ) ],
% 0.94/1.31 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.94/1.31 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.94/1.31 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.94/1.31 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.94/1.31 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.31 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.94/1.31 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.94/1.31 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.31 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.94/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.31 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.94/1.31 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.31 ), =( X, Y ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( T, U
% 0.94/1.31 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.31 'c_Equiv__Relations_Oquotient'( T, U, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) )
% 0.94/1.31 , ~( 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.94/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.94/1.31 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.94/1.31 ],
% 0.94/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.94/1.31 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.94/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.31 ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( X, T ), ~( hBOOL(
% 0.94/1.31 'c_in'( X, 'c_List_Oset'( 'c_List_Olist_OCons'( T, Y, Z ), Z ), Z ) ) ) ]
% 0.94/1.31 ,
% 0.94/1.31 [ =( 'c_List_Oset'( 'c_List_Olist_ONil'( X ), X ),
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.31 'c_List_Oset'( Y, X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ],
% 0.94/1.31 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.31 'c_List_Oset'( 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.94/1.31 [ ~( =( 'c_List_Oset'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.31 Y, 'tc_bool' ) ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'(
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 0.94/1.31 Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.94/1.31 ],
% 0.94/1.31 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X,
% 0.94/1.31 Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.31 Y, Z ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.31 'c_Equiv__Relations_Oquotient'( T, X, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.94/1.31 ~( hBOOL( 'c_in'( Y, T, Z ) ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.94/1.31 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 0.94/1.31 , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U
% 0.94/1.31 ), U ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.94/1.31 Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.94/1.31 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 0.94/1.31 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.94/1.31 ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.31 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'(
% 0.94/1.31 Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.94/1.31 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.31 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.94/1.31 [ ~( hBOOL( 'c_in'(
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 0.94/1.31 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y,
% 0.94/1.31 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.94/1.31 ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.31 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 0.94/1.31 , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.94/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.94/1.31 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 0.94/1.31 , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.94/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.94/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.94/1.31 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.31 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.31 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.31 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.31 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.94/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.94/1.31 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.31 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.94/1.31 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.94/1.31 'tc_bool' ) ), Z ) ) ],
% 0.94/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.31 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.94/1.31 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.94/1.31 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.94/1.31 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.94/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.94/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.31 ) ) ],
% 0.94/1.31 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.94/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.31 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.94/1.31 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.94/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.94/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.32 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.94/1.32 ) ), Y ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( Y, Z ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.32 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.32 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.94/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.94/1.32 'tc_bool' ) ) ) ],
% 0.94/1.32 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.94/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.32 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.94/1.32 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.94/1.32 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.94/1.32 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.94/1.32 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.94/1.32 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.32 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.94/1.32 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.94/1.32 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z,
% 0.94/1.32 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.94/1.32 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.94/1.32 'tc_prod'( U, U ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.94/1.32 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.94/1.32 , =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'(
% 0.94/1.32 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T
% 0.94/1.32 , U ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 0.94/1.32 , U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 0.94/1.32 , U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T,
% 0.94/1.32 U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.94/1.32 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.94/1.32 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.94/1.32 ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.94/1.32 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.94/1.32 T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) )
% 0.94/1.32 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.94/1.32 T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 0.94/1.32 ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 0.94/1.32 ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.94/1.32 ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'(
% 0.94/1.32 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.94/1.32 'c_Wellfounded_Oacyclic'( Z, Y ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.94/1.32 Y, T, T ), Z, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T
% 0.94/1.32 ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.94/1.32 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ),
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.94/1.32 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.94/1.32 , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z,
% 0.94/1.32 T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 0.94/1.32 ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.94/1.32 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Z
% 0.94/1.32 , T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T,
% 0.94/1.32 T ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.94/1.32 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.94/1.32 ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ), ~(
% 0.94/1.32 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.94/1.32 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), ~(
% 0.94/1.32 'c_List_Odistinct'( Y, Z ) ), hBOOL( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T,
% 0.94/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.32 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.94/1.32 ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.32 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T
% 0.94/1.32 , Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.94/1.32 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 0.94/1.32 ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.94/1.32 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.94/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.94/1.32 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.94/1.32 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.94/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.94/1.32 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.94/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.94/1.32 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 0.94/1.32 ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ),
% 0.94/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.94/1.32 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.94/1.32 , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.94/1.32 ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 0.94/1.32 , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.94/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.32 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.94/1.32 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.94/1.32 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.32 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.94/1.32 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.94/1.32 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.94/1.32 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.94/1.32 [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.94/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.94/1.32 [ =( 'c_Relation_OImage'( X,
% 0.94/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.32 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.32 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.94/1.32 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.94/1.32 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.94/1.32 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.32 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.94/1.32 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.94/1.32 'tc_prod'( Y, Y ) ) ) ) ],
% 0.94/1.32 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.94/1.32 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.94/1.32 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.94/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.94/1.32 Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X,
% 0.94/1.32 T, U, W ), V0, 'tc_prod'( T, U ), W ), W ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 Y, Z, T, U ), V0, 'tc_prod'( T, U ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'(
% 0.94/1.32 X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 0.94/1.32 , 'c_Relation_OImage'( Z, X, T, U ), U ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 0.94/1.32 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 0.94/1.32 ), Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.94/1.32 , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 0.94/1.32 X, Z ), Z ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 0.94/1.32 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.94/1.32 ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.94/1.32 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.94/1.32 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.94/1.32 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.94/1.32 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 0.94/1.32 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.94/1.32 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.94/1.32 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.94/1.32 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.94/1.32 , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.94/1.32 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.94/1.32 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.94/1.32 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'(
% 0.94/1.32 X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.32 'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.94/1.32 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 0.94/1.32 , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.94/1.32 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.94/1.32 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T
% 0.94/1.32 , Y, Z ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Y, Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( Z, T ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, T ), =( X, T ), ~( hBOOL( 'c_in'( Z,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( Y, T ), hBOOL( 'c_in'( 'c_Pair'( X, T,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Oabove'( Z, Y, T ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ =( X, Y ), =( X, Z ), ~( hBOOL( 'c_in'( T,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( X, Y ), hBOOL( 'c_in'( 'c_Pair'( X, Z,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Oabove'( T, X, Y ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), T, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), =( Y, T ), =( X, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.94/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( U, T ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Oabove'( Z, T, Y ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.94/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, Y ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), =( X, T ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, T, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( Z,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( T, X ), hBOOL( 'c_in'( 'c_Pair'( T, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.32 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X
% 0.94/1.32 , T, 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ), Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T
% 0.94/1.32 , Y, 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ), Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z
% 0.94/1.32 , 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( X, Y ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( T, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( X, T ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, U ), =( X, U ), =( X, Y
% 0.94/1.32 ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.94/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, T ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( Y, T ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( X, T ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, U ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.94/1.32 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X
% 0.94/1.32 , T, 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ), Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, U ), =( X, Y ), ~( hBOOL(
% 0.94/1.32 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ =( X, Y ), =( X, Y ), ~( hBOOL( 'c_in'( Z,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( X, Y ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Oabove'( Z, X, Y ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.94/1.32 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.94/1.32 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.94/1.32 U ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.94/1.32 T ) ) ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, T, U, U ), W, 'tc_prod'( U,
% 0.94/1.32 U ) ) ) ), ~( hBOOL( 'c_in'( T, Y, U ) ) ), ~( hBOOL( 'c_in'( Z, X, U ) )
% 0.94/1.32 ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( V0, W, U ),
% 0.94/1.32 'tc_fun'( U, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( X,
% 0.94/1.32 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.94/1.32 ), ~( 'c_Equiv__Relations_Oequiv'( V0, W, U ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( T, Y, Z ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z
% 0.94/1.32 , 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'(
% 0.94/1.32 U, W, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'(
% 0.94/1.32 U, W, Z ) ), hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ), W, 'tc_prod'( Z, Z )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.32 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.94/1.32 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.94/1.32 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.32 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.94/1.32 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.94/1.32 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( Y,
% 0.94/1.32 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 0.94/1.32 , Y ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ), =( X, Y ) ],
% 0.94/1.32 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.32 ), hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( T, U, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) )
% 0.94/1.32 ],
% 0.94/1.32 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.32 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( T, U, Z ) ) ),
% 0.94/1.32 ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.94/1.32 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.32 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.94/1.32 ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.94/1.32 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.94/1.32 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.32 ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.94/1.32 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( Y, T,
% 0.94/1.32 Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.32 'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.32 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.94/1.32 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.94/1.32 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), =( Y, X ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.94/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.94/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.94/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y,
% 0.94/1.32 Z ), Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.94/1.32 , 'tc_prod'( Z, Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.94/1.32 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.32 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.94/1.32 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.94/1.32 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.94/1.32 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) )
% 0.94/1.32 ],
% 0.94/1.32 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.94/1.32 X, U ), W ) ) ],
% 0.94/1.32 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.94/1.32 X, U ), W ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.94/1.32 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.94/1.32 , T ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.32 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 0.94/1.32 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.94/1.32 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.94/1.32 'c_Relation_Osym'( X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.94/1.32 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.32 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.94/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.94/1.32 'c_Relation_Osym'( X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.94/1.32 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 0.94/1.32 , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 0.94/1.32 , U ), U ) ) ) ],
% 0.94/1.32 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.32 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.94/1.32 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.94/1.32 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.94/1.32 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.94/1.32 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.94/1.32 'c_Relation_Osym'( X, Y ) ) ],
% 0.94/1.32 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.94/1.32 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.94/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.32 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.94/1.32 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.94/1.32 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.94/1.32 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.94/1.32 Y ) ],
% 0.94/1.32 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.94/1.32 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.94/1.32 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.94/1.32 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.94/1.32 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.32 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.94/1.32 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.94/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.32 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.32 X, Y ), X, Y, Y, Y ) ) ],
% 0.94/1.32 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.94/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.32 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.94/1.32 'c_Relation_Osym'( X, Z ) ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.94/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.94/1.32 'c_Relation_Otrans'( X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.94/1.32 'c_Relation_OId'( X ) ) ],
% 0.94/1.32 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.32 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.32 'tc_bool' ) ) ) ],
% 0.94/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.32 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.94/1.32 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.94/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.94/1.32 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.94/1.32 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.94/1.32 , Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.94/1.32 'c_Relation_Otrans'( X, Z ) ) ],
% 0.94/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.94/1.32 'c_Relation_OId__on'( X, Y ) ) ],
% 0.94/1.32 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.94/1.32 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.94/1.32 , Y ), X, Y ) ],
% 0.94/1.32 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.94/1.32 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.94/1.32 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.94/1.32 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.94/1.32 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.94/1.32 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.94/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.94/1.32 X ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.94/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.94/1.32 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.94/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.94/1.32 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.94/1.32 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.32 ) ), Y ) ) ) ],
% 0.94/1.32 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.94/1.32 Y, Z ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.94/1.32 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.32 Y, Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.94/1.32 'tc_bool' ) ), Y, X ) ],
% 0.94/1.32 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.94/1.32 ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Arrow__Order__Mirabelle_Obelow'( X, Y, Z ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( Y, Z ) ],
% 0.94/1.32 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 0.94/1.32 'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 0.94/1.32 , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X
% 0.94/1.32 , Y ), 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ), =( X, Y ) ],
% 0.94/1.32 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.94/1.32 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.94/1.32 ) ), =( X, T ) ],
% 0.94/1.32 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.94/1.32 ) ), =( Y, U ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.94/1.32 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.94/1.32 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.94/1.32 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.94/1.32 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.94/1.32 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.94/1.32 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.94/1.32 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.94/1.32 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.94/1.32 ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.94/1.32 , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 0.94/1.32 , Z, T ), Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.94/1.32 , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'(
% 0.94/1.32 Z, X, T, U ), U ) ) ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL(
% 0.94/1.32 'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.94/1.32 ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 0.94/1.32 , T, Z ), Z ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( T, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, X ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, T, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, Y ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, T, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, T ), ~( hBOOL( 'c_in'(
% 0.94/1.32 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U
% 0.94/1.32 , Y, 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ), Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, T ), =( X, Y ), ~( hBOOL(
% 0.94/1.32 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ =( X, Y ), =( Y, X ), ~( hBOOL( 'c_in'( Z,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( Y, X ), hBOOL( 'c_in'( 'c_Pair'( Y, X,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, X ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Y, Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( Z, T ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( Y, T ), =( T, Y ), ~( hBOOL( 'c_in'( Z,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( T, X ), hBOOL( 'c_in'( 'c_Pair'( T, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, X ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ =( X, Y ), =( Z, X ), ~( hBOOL( 'c_in'( T,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( Y, X ), hBOOL( 'c_in'( 'c_Pair'( Z, X,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Obelow'( T, Y, X ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), T, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), =( X, T ), =( Y, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Obelow'( Z, T, U ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.94/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Obelow'( Z, Y, T ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.94/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( Y, T ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), =( X, T ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( Z,
% 0.94/1.32 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( Y, T ), hBOOL( 'c_in'( 'c_Pair'( X, T,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.32 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U
% 0.94/1.32 , Y, 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ), Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X
% 0.94/1.32 , U, 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ), Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z
% 0.94/1.32 , 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( X, Y ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ), =( X, T ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.94/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, Y ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, T, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Obelow'(
% 0.94/1.32 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, T ), =( Y, T ), =( X, Y
% 0.94/1.32 ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.94/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ), =( T, U ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) )
% 0.94/1.32 , 'c_Pair'( W, V0, Z, T ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( Y, W
% 0.94/1.32 ), V0 ), U ) ) ) ],
% 0.94/1.32 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~(
% 0.94/1.32 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T,
% 0.94/1.32 U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 0.94/1.32 ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.94/1.32 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z
% 0.94/1.32 , T, U ), X, 'tc_prod'( T, U ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.94/1.32 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 'c_Relation_Otrans'( T, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 'c_Relation_Otrans'( T, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.94/1.32 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.94/1.32 'tc_prod'( T, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.94/1.32 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.94/1.32 'tc_prod'( T, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T )
% 0.94/1.32 , 'tc_prod'( T, Z ) ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.94/1.32 ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.32 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.94/1.32 , 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.94/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.94/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.94/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ),
% 0.94/1.32 ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.94/1.32 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.94/1.32 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.94/1.32 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.94/1.32 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.94/1.32 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T,
% 0.94/1.32 T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 0.94/1.32 , T, W ) ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.32 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.94/1.32 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 0.94/1.32 , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.94/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'(
% 0.94/1.32 Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.94/1.32 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.94/1.32 ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 0.94/1.32 , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 0.94/1.32 , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 0.94/1.32 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 0.94/1.32 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 'c_Relation_Osym'( T, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 'c_Relation_Osym'( T, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W,
% 0.94/1.32 Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 0.94/1.32 , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 0.94/1.32 , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.32 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.94/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.94/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.94/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.94/1.32 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.94/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.94/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.94/1.32 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.94/1.32 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.32 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.94/1.32 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____',
% 0.94/1.32 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( 'v_c____',
% 0.94/1.32 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( X, T ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, T ), =( X, T ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.32 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.32 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), =( Y, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ =( X, Y ), =( Y, X ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.32 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.32 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( Y, T ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, T ), =( Y, T ) ],
% 0.94/1.32 [ =( X, Y ), =( X, Y ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), =( X, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ), =( X, Y ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.94/1.32 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.94/1.32 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.94/1.32 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.94/1.32 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( W, Z, T ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( W, Z, T ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.94/1.32 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.94/1.32 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.94/1.32 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.94/1.32 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.94/1.32 X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.94/1.32 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.94/1.32 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~(
% 0.94/1.32 hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.94/1.32 'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.94/1.32 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.94/1.32 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.94/1.32 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P_H____'( X ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'v_P_H____'( X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.94/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.94/1.32 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____',
% 0.94/1.32 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( 'v_c____',
% 0.94/1.32 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.94/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.32 ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'tc_bool' ) ) ) ) ],
% 0.94/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a____', 'v_c____',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Obelow'( hAPP( 'v_P____', 'v_x' ), 'v_c____',
% 0.94/1.32 'v_b____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', 'v_x' ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ],
% 0.94/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_a____', 'v_c____',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.32 'c_Arrow__Order__Mirabelle_Obelow'( hAPP( 'v_P____', 'v_x' ), 'v_c____',
% 0.94/1.32 'v_b____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.94/1.32 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', 'v_x' ), 'tc_prod'(
% 0.94/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.32 ) ) ],
% 0.94/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.32 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.94/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.32 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.94/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.32 'class_Orderings_Opreorder'( Y ) ) ],
% 0.94/1.32 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.94/1.32 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.32 'class_Orderings_Oorder'( Y ) ) ],
% 0.94/1.32 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.94/1.32 Y ) ) ],
% 0.94/1.32 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.94/1.32 ,
% 0.94/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.94/1.32 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.94/1.32 [ 'c_fequal'( X, X, Y ) ],
% 0.94/1.32 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.94/1.32 ] .
% 0.94/1.32
% 0.94/1.32
% 0.94/1.32 percentage equality = 0.256018, percentage horn = 0.841667
% 0.94/1.32 This is a problem with some equality
% 0.94/1.32
% 0.94/1.32
% 0.94/1.32
% 0.94/1.32 Options Used:
% 0.94/1.32
% 0.94/1.32 useres = 1
% 0.94/1.32 useparamod = 1
% 0.94/1.32 useeqrefl = 1
% 0.94/1.32 useeqfact = 1
% 0.94/1.32 usefactor = 1
% 0.94/1.32 usesimpsplitting = 0
% 0.94/1.32 usesimpdemod = 5
% 0.94/1.32 usesimpres = 3
% 0.94/1.32
% 0.94/1.32 resimpinuse = 1000
% 0.94/1.32 resimpclauses = 20000
% 0.94/1.32 substype = eqrewr
% 0.94/1.32 backwardsubs = 1
% 0.94/1.32 selectoldest = 5
% 0.94/1.32
% 0.94/1.32 litorderings [0] = split
% 0.94/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.32
% 0.94/1.32 termordering = kbo
% 0.94/1.32
% 0.94/1.32 litapriori = 0
% 0.94/1.32 termapriori = 1
% 0.94/1.32 litaposteriori = 0
% 0.94/1.32 termaposteriori = 0
% 0.94/1.32 demodaposteriori = 0
% 0.94/1.32 ordereqreflfact = 0
% 0.94/1.32
% 0.94/1.32 litselect = negord
% 0.94/1.32
% 0.94/1.32 maxweight = 15
% 0.94/1.32 maxdepth = 30000
% 0.94/1.32 maxlength = 115
% 0.94/1.32 maxnrvars = 195
% 0.94/1.32 excuselevel = 1
% 0.94/1.32 increasemaxweight = 1
% 0.94/1.32
% 0.94/1.32 maxselected = 10000000
% 0.94/1.32 maxnrclauses = 10000000
% 0.94/1.32
% 0.94/1.32 showgenerated = 0
% 0.94/1.32 showkept = 0
% 0.94/1.32 showselected = 0
% 0.94/1.32 showdeleted = 0
% 0.94/1.32 showresimp = 1
% 0.94/1.32 showstatus = 2000
% 0.94/1.32
% 0.94/1.32 prologoutput = 1
% 0.94/1.32 nrgoals = 5000000
% 0.94/1.32 totalproof = 1
% 0.94/1.32
% 0.94/1.32 Symbols occurring in the translation:
% 0.94/1.32
% 0.94/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.32 . [1, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.94/1.32 ! [4, 1] (w:0, o:82, a:1, s:1, b:0),
% 0.94/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.32 'tc_bool' [42, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.94/1.32 'tc_fun' [43, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.94/1.32 'c_Lattices_Olower__semilattice__class_Oinf' [44, 3] (w:1, o:158, a:1
% 0.94/1.32 , s:1, b:0),
% 0.94/1.32 'c_Orderings_Obot__class_Obot' [45, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.94/1.32 'c_HOL_Ominus__class_Ominus' [46, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.94/1.32 'class_Lattices_Olattice' [48, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.94/1.32 't_a' [51, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.94/1.32 'c_Lattices_Oupper__semilattice__class_Osup' [52, 3] (w:1, o:160, a:1
% 0.94/1.32 , s:1, b:0),
% 0.94/1.32 'v_x' [53, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.94/1.32 hAPP [54, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.94/1.32 'c_Relation_ODomain' [55, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.94/1.32 'tc_prod' [56, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.94/1.32 'c_lessequals' [57, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.94/1.32 'class_Lattices_Odistrib__lattice' [59, 1] (w:1, o:89, a:1, s:1, b:0)
% 0.94/1.32 ,
% 0.94/1.32 'class_Lattices_Oupper__semilattice' [63, 1] (w:1, o:90, a:1, s:1, b:
% 0.94/1.32 0),
% 0.94/1.32 'c_Relation_Orel__comp' [67, 5] (w:1, o:207, a:1, s:1, b:0),
% 0.94/1.32 'c_Relation_OImage' [72, 4] (w:1, o:190, a:1, s:1, b:0),
% 0.94/1.32 hBOOL [75, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.94/1.32 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [76, 3] (w:1, o:163, a:
% 0.94/1.32 1, s:1, b:0),
% 0.94/1.32 'c_Wellfounded_Owf' [77, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.94/1.32 'c_Set_Oinsert' [78, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.94/1.32 'class_OrderedGroup_Oab__group__add' [80, 1] (w:1, o:92, a:1, s:1, b:
% 0.94/1.32 0),
% 0.94/1.32 'c_Set_Oimage' [83, 4] (w:1, o:192, a:1, s:1, b:0),
% 0.94/1.32 'class_Lattices_Olower__semilattice' [84, 1] (w:1, o:93, a:1, s:1, b:
% 0.94/1.32 0),
% 0.94/1.32 'c_in' [87, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.94/1.32 'c_Relation_ORange' [88, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.94/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [89, 3] (w:1, o:
% 0.94/1.32 171, a:1, s:1, b:0),
% 0.94/1.32 'c_Transitive__Closure_Ortrancl' [90, 2] (w:1, o:134, a:1, s:1, b:0)
% 0.94/1.32 ,
% 0.94/1.32 'class_Orderings_Obot' [91, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.94/1.32 'c_Pair' [92, 4] (w:1, o:193, a:1, s:1, b:0),
% 0.94/1.32 'c_Relation_Osym' [93, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.94/1.32 'class_Lattices_Obounded__lattice' [94, 1] (w:1, o:95, a:1, s:1, b:0)
% 0.94/1.32 ,
% 0.94/1.32 'c_Product__Type_OSigma' [97, 4] (w:1, o:194, a:1, s:1, b:0),
% 0.94/1.32 'c_Relation_Orefl__on' [98, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.94/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [101, 3] (w:1, o:
% 0.94/1.32 172, a:1, s:1, b:0),
% 0.94/1.32 'c_Wellfounded_Oacyclic' [102, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.94/1.32 'c_Relation_Oconverse' [103, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.94/1.32 'class_Orderings_Oorder' [104, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.94/1.32 'c_List_Oset' [108, 2] (w:1, o:137, a:1, s:1, b:0),
% 2.83/3.23 'c_List_Olist_OCons' [109, 3] (w:1, o:173, a:1, s:1, b:0),
% 2.83/3.23 'c_Relation_Ototal__on' [110, 3] (w:1, o:168, a:1, s:1, b:0),
% 2.83/3.23 'c_Order__Relation_Ostrict__linear__order__on' [111, 3] (w:1, o:174
% 2.83/3.23 , a:1, s:1, b:0),
% 2.83/3.23 'class_HOL_Ominus' [113, 1] (w:1, o:97, a:1, s:1, b:0),
% 2.83/3.23 'c_Wellfounded_Oacc' [115, 2] (w:1, o:138, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [117, 3]
% 2.83/3.23 (w:1, o:175, a:1, s:1, b:0),
% 2.83/3.23 'c_List_Osko__Recdef__Xcuts__eq__1__1' [118, 6] (w:1, o:212, a:1, s:1
% 2.83/3.23 , b:0),
% 2.83/3.23 'c_Recdef_Ocut' [119, 5] (w:1, o:208, a:1, s:1, b:0),
% 2.83/3.23 'class_HOL_Oord' [120, 1] (w:1, o:98, a:1, s:1, b:0),
% 2.83/3.23 'c_Equiv__Relations_Oquotient' [123, 3] (w:1, o:176, a:1, s:1, b:0),
% 2.83/3.23
% 2.83/3.23 'c_Equiv__Relations_Oequiv' [124, 3] (w:1, o:177, a:1, s:1, b:0),
% 2.83/3.23 'c_Relation_OId' [125, 1] (w:1, o:99, a:1, s:1, b:0),
% 2.83/3.23 'c_Relation_Oirrefl' [126, 2] (w:1, o:139, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [127, 4]
% 2.83/3.23 (w:1, o:195, a:1, s:1, b:0),
% 2.83/3.23 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [130, 3] (w:1, o:
% 2.83/3.23 178, a:1, s:1, b:0),
% 2.83/3.23 'c_Relation_Otrans' [131, 2] (w:1, o:140, a:1, s:1, b:0),
% 2.83/3.23 'class_Orderings_Opreorder' [132, 1] (w:1, o:100, a:1, s:1, b:0),
% 2.83/3.23 'c_Relation_Oantisym' [135, 2] (w:1, o:141, a:1, s:1, b:0),
% 2.83/3.23 'c_Relation_Osingle__valued' [136, 3] (w:1, o:167, a:1, s:1, b:0),
% 2.83/3.23 'class_OrderedGroup_Opordered__ab__group__add' [137, 1] (w:1, o:101
% 2.83/3.23 , a:1, s:1, b:0),
% 2.83/3.23 'class_Orderings_Olinorder' [139, 1] (w:1, o:102, a:1, s:1, b:0),
% 2.83/3.23 'c_List_Olist_ONil' [142, 1] (w:1, o:103, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [143, 3]
% 2.83/3.23 (w:1, o:179, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [144, 3] (w:1, o:
% 2.83/3.23 180, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [145, 5] (w:1, o:209
% 2.83/3.23 , a:1, s:1, b:0),
% 2.83/3.23 'c_Transitive__Closure_Otrancl' [146, 2] (w:1, o:142, a:1, s:1, b:0)
% 2.83/3.23 ,
% 2.83/3.23 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [147, 3] (w:1
% 2.83/3.23 , o:181, a:1, s:1, b:0),
% 2.83/3.23 'v_sko__Wellfounded__Xacc__Xinducts__1' [148, 2] (w:1, o:143, a:1, s:
% 2.83/3.23 1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [149, 3]
% 2.83/3.23 (w:1, o:182, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [150, 3] (w:
% 2.83/3.23 1, o:183, a:1, s:1, b:0),
% 2.83/3.23 'v_sko__Wellfounded__Xacc__Xinduct__1' [151, 2] (w:1, o:144, a:1, s:1
% 2.83/3.23 , b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [152, 3] (w:1
% 2.83/3.23 , o:184, a:1, s:1, b:0),
% 2.83/3.23 'c_Arrow__Order__Mirabelle_Oabove' [154, 3] (w:1, o:185, a:1, s:1, b:
% 2.83/3.23 0),
% 2.83/3.23 'c_Arrow__Order__Mirabelle_OLin' [155, 0] (w:1, o:64, a:1, s:1, b:0)
% 2.83/3.23 ,
% 2.83/3.23 'tc_Arrow__Order__Mirabelle_Oalt' [156, 0] (w:1, o:65, a:1, s:1, b:0)
% 2.83/3.23 ,
% 2.83/3.23 'c_Relation_OId__on' [157, 2] (w:1, o:145, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 2.83/3.23 [158, 4] (w:1, o:196, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [160
% 2.83/3.23 , 2] (w:1, o:146, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [161,
% 2.83/3.23 4] (w:1, o:197, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [162, 4]
% 2.83/3.23 (w:1, o:198, a:1, s:1, b:0),
% 2.83/3.23 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [163, 3] (w:1, o:186
% 2.83/3.23 , a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [164, 4]
% 2.83/3.23 (w:1, o:200, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [165, 4]
% 2.83/3.23 (w:1, o:199, a:1, s:1, b:0),
% 2.83/3.23 'c_List_Odistinct' [166, 2] (w:1, o:147, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [167, 7] (w:1
% 2.83/3.23 , o:214, a:1, s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [168, 2] (w:1, o:148, a:1
% 2.83/3.23 , s:1, b:0),
% 2.83/3.23 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [169, 2] (w:1
% 2.83/3.23 , o:149, a:1, s:1, b:0),
% 10.73/11.12 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [170, 2] (w:1, o:
% 10.73/11.12 150, a:1, s:1, b:0),
% 10.73/11.12 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [171, 3] (w:1, o:187
% 10.73/11.12 , a:1, s:1, b:0),
% 10.73/11.12 'v_r' [172, 0] (w:1, o:66, a:1, s:1, b:0),
% 10.73/11.12 't_b' [173, 0] (w:1, o:67, a:1, s:1, b:0),
% 10.73/11.12 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [174, 2] (w:1, o:
% 10.73/11.12 151, a:1, s:1, b:0),
% 10.73/11.12 'c_Nitpick_Orefl_H' [175, 2] (w:1, o:152, a:1, s:1, b:0),
% 10.73/11.12 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [176, 2] (w:1, o:153
% 10.73/11.12 , a:1, s:1, b:0),
% 10.73/11.12 'c_split' [177, 4] (w:1, o:201, a:1, s:1, b:0),
% 10.73/11.12 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [178, 4] (w:1, o:202
% 10.73/11.12 , a:1, s:1, b:0),
% 10.73/11.12 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [180, 4] (w:1, o:203
% 10.73/11.12 , a:1, s:1, b:0),
% 10.73/11.12 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1' [181, 2] (w:1, o:154
% 10.73/11.12 , a:1, s:1, b:0),
% 10.73/11.12 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [182, 5] (w:1, o:
% 10.73/11.12 210, a:1, s:1, b:0),
% 10.73/11.12 'c_Relation_Oinv__image' [185, 4] (w:1, o:191, a:1, s:1, b:0),
% 10.73/11.12 'c_Arrow__Order__Mirabelle_Obelow' [187, 3] (w:1, o:188, a:1, s:1, b:
% 10.73/11.12 0),
% 10.73/11.12 'c_Equiv__Relations_Ocongruent' [189, 4] (w:1, o:204, a:1, s:1, b:0)
% 10.73/11.12 ,
% 10.73/11.12 'c_Equiv__Relations_Ocongruent2' [191, 6] (w:1, o:213, a:1, s:1, b:0)
% 10.73/11.12 ,
% 10.73/11.12 'c_Arrow__Order__Mirabelle_Omkbot' [192, 2] (w:1, o:155, a:1, s:1, b:
% 10.73/11.12 0),
% 10.73/11.12 'c_Arrow__Order__Mirabelle_Omktop' [193, 2] (w:1, o:156, a:1, s:1, b:
% 10.73/11.12 0),
% 10.73/11.12 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [194, 2] (w:1, o:
% 10.73/11.12 157, a:1, s:1, b:0),
% 10.73/11.12 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [196, 4] (w:1, o:
% 10.73/11.12 205, a:1, s:1, b:0),
% 10.73/11.12 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [197, 4] (w:1, o:
% 10.73/11.12 206, a:1, s:1, b:0),
% 10.73/11.12 'c_FunDef_Oin__rel' [202, 5] (w:1, o:211, a:1, s:1, b:0),
% 10.73/11.12 'v_a____' [203, 0] (w:1, o:73, a:1, s:1, b:0),
% 10.73/11.12 'v_b____' [204, 0] (w:1, o:74, a:1, s:1, b:0),
% 10.73/11.12 'v_c____' [205, 0] (w:1, o:75, a:1, s:1, b:0),
% 10.73/11.12 'v_P____' [206, 0] (w:1, o:76, a:1, s:1, b:0),
% 10.73/11.12 'v_P_H____' [208, 1] (w:1, o:104, a:1, s:1, b:0),
% 10.73/11.12 'c_Arrow__Order__Mirabelle_OProf' [210, 0] (w:1, o:78, a:1, s:1, b:0)
% 10.73/11.12 ,
% 10.73/11.12 'tc_Arrow__Order__Mirabelle_Oindi' [211, 0] (w:1, o:79, a:1, s:1, b:0
% 10.73/11.12 ),
% 10.73/11.12 'c_fequal' [214, 3] (w:1, o:189, a:1, s:1, b:0).
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Starting Search:
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 6053
% 10.73/11.12 Kept: 2000
% 10.73/11.12 Inuse: 177
% 10.73/11.12 Deleted: 2
% 10.73/11.12 Deletedinuse: 0
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 12491
% 10.73/11.12 Kept: 4007
% 10.73/11.12 Inuse: 304
% 10.73/11.12 Deleted: 3
% 10.73/11.12 Deletedinuse: 1
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 21658
% 10.73/11.12 Kept: 6470
% 10.73/11.12 Inuse: 446
% 10.73/11.12 Deleted: 9
% 10.73/11.12 Deletedinuse: 3
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 43847
% 10.73/11.12 Kept: 9772
% 10.73/11.12 Inuse: 508
% 10.73/11.12 Deleted: 13
% 10.73/11.12 Deletedinuse: 5
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 59831
% 10.73/11.12 Kept: 12111
% 10.73/11.12 Inuse: 523
% 10.73/11.12 Deleted: 13
% 10.73/11.12 Deletedinuse: 5
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 70518
% 10.73/11.12 Kept: 14113
% 10.73/11.12 Inuse: 610
% 10.73/11.12 Deleted: 14
% 10.73/11.12 Deletedinuse: 5
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 83207
% 10.73/11.12 Kept: 16541
% 10.73/11.12 Inuse: 666
% 10.73/11.12 Deleted: 18
% 10.73/11.12 Deletedinuse: 8
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 99248
% 10.73/11.12 Kept: 19062
% 10.73/11.12 Inuse: 681
% 10.73/11.12 Deleted: 18
% 10.73/11.12 Deletedinuse: 8
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying clauses:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 124901
% 10.73/11.12 Kept: 21069
% 10.73/11.12 Inuse: 713
% 10.73/11.12 Deleted: 286
% 10.73/11.12 Deletedinuse: 8
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 10.73/11.12 Generated: 141359
% 10.73/11.12 Kept: 23072
% 10.73/11.12 Inuse: 780
% 10.73/11.12 Deleted: 293
% 10.73/11.12 Deletedinuse: 12
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12 Resimplifying inuse:
% 10.73/11.12 Done
% 10.73/11.12
% 10.73/11.12
% 10.73/11.12 Intermediate Status:
% 147.52/147.99 Generated: 158354
% 147.52/147.99 Kept: 25077
% 147.52/147.99 Inuse: 838
% 147.52/147.99 Deleted: 296
% 147.52/147.99 Deletedinuse: 15
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 169990
% 147.52/147.99 Kept: 27084
% 147.52/147.99 Inuse: 859
% 147.52/147.99 Deleted: 299
% 147.52/147.99 Deletedinuse: 18
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 187510
% 147.52/147.99 Kept: 29112
% 147.52/147.99 Inuse: 893
% 147.52/147.99 Deleted: 303
% 147.52/147.99 Deletedinuse: 22
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 208540
% 147.52/147.99 Kept: 32472
% 147.52/147.99 Inuse: 928
% 147.52/147.99 Deleted: 305
% 147.52/147.99 Deletedinuse: 24
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 221952
% 147.52/147.99 Kept: 34584
% 147.52/147.99 Inuse: 943
% 147.52/147.99 Deleted: 305
% 147.52/147.99 Deletedinuse: 24
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 241592
% 147.52/147.99 Kept: 36615
% 147.52/147.99 Inuse: 998
% 147.52/147.99 Deleted: 305
% 147.52/147.99 Deletedinuse: 24
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 258062
% 147.52/147.99 Kept: 38808
% 147.52/147.99 Inuse: 1048
% 147.52/147.99 Deleted: 306
% 147.52/147.99 Deletedinuse: 25
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying clauses:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 272028
% 147.52/147.99 Kept: 40808
% 147.52/147.99 Inuse: 1067
% 147.52/147.99 Deleted: 764
% 147.52/147.99 Deletedinuse: 25
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 287751
% 147.52/147.99 Kept: 42970
% 147.52/147.99 Inuse: 1092
% 147.52/147.99 Deleted: 777
% 147.52/147.99 Deletedinuse: 27
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 300459
% 147.52/147.99 Kept: 44979
% 147.52/147.99 Inuse: 1094
% 147.52/147.99 Deleted: 785
% 147.52/147.99 Deletedinuse: 27
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 310342
% 147.52/147.99 Kept: 46992
% 147.52/147.99 Inuse: 1097
% 147.52/147.99 Deleted: 792
% 147.52/147.99 Deletedinuse: 27
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 320729
% 147.52/147.99 Kept: 49153
% 147.52/147.99 Inuse: 1121
% 147.52/147.99 Deleted: 793
% 147.52/147.99 Deletedinuse: 27
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 331796
% 147.52/147.99 Kept: 51290
% 147.52/147.99 Inuse: 1149
% 147.52/147.99 Deleted: 795
% 147.52/147.99 Deletedinuse: 27
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 346693
% 147.52/147.99 Kept: 53292
% 147.52/147.99 Inuse: 1194
% 147.52/147.99 Deleted: 795
% 147.52/147.99 Deletedinuse: 27
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 364008
% 147.52/147.99 Kept: 56704
% 147.52/147.99 Inuse: 1224
% 147.52/147.99 Deleted: 798
% 147.52/147.99 Deletedinuse: 30
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 381248
% 147.52/147.99 Kept: 59932
% 147.52/147.99 Inuse: 1252
% 147.52/147.99 Deleted: 800
% 147.52/147.99 Deletedinuse: 30
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying clauses:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 394831
% 147.52/147.99 Kept: 62793
% 147.52/147.99 Inuse: 1262
% 147.52/147.99 Deleted: 1174
% 147.52/147.99 Deletedinuse: 31
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 409700
% 147.52/147.99 Kept: 65181
% 147.52/147.99 Inuse: 1292
% 147.52/147.99 Deleted: 1175
% 147.52/147.99 Deletedinuse: 32
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 417615
% 147.52/147.99 Kept: 67222
% 147.52/147.99 Inuse: 1317
% 147.52/147.99 Deleted: 1178
% 147.52/147.99 Deletedinuse: 35
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 425753
% 147.52/147.99 Kept: 69562
% 147.52/147.99 Inuse: 1338
% 147.52/147.99 Deleted: 1183
% 147.52/147.99 Deletedinuse: 36
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 439066
% 147.52/147.99 Kept: 71770
% 147.52/147.99 Inuse: 1363
% 147.52/147.99 Deleted: 1183
% 147.52/147.99 Deletedinuse: 36
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 480456
% 147.52/147.99 Kept: 73779
% 147.52/147.99 Inuse: 1388
% 147.52/147.99 Deleted: 1186
% 147.52/147.99 Deletedinuse: 39
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 508789
% 147.52/147.99 Kept: 76026
% 147.52/147.99 Inuse: 1423
% 147.52/147.99 Deleted: 1188
% 147.52/147.99 Deletedinuse: 41
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 519412
% 147.52/147.99 Kept: 78068
% 147.52/147.99 Inuse: 1445
% 147.52/147.99 Deleted: 1192
% 147.52/147.99 Deletedinuse: 44
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99
% 147.52/147.99 Intermediate Status:
% 147.52/147.99 Generated: 530422
% 147.52/147.99 Kept: 80131
% 147.52/147.99 Inuse: 1462
% 147.52/147.99 Deleted: 1192
% 147.52/147.99 Deletedinuse: 44
% 147.52/147.99
% 147.52/147.99 Resimplifying inuse:
% 147.52/147.99 Done
% 147.52/147.99
% 147.52/147.99 ResimplCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------