TSTP Solution File: SCT058-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT058-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:53 EDT 2022
% Result : Timeout 300.01s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT058-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jul 1 22:53:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.31 *** allocated 10000 integers for termspace/termends
% 0.88/1.31 *** allocated 10000 integers for clauses
% 0.88/1.31 *** allocated 10000 integers for justifications
% 0.88/1.31 *** allocated 15000 integers for termspace/termends
% 0.88/1.31 Bliksem 1.12
% 0.88/1.31
% 0.88/1.31
% 0.88/1.31 Automatic Strategy Selection
% 0.88/1.31
% 0.88/1.31 Clauses:
% 0.88/1.31 [
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.31 ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.31 ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.88/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.88/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.88/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.31 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.88/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.88/1.31 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.31 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.31 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.31 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.88/1.31 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.88/1.31 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.88/1.31 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.88/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.88/1.31 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.88/1.31 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.88/1.31 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.88/1.31 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.88/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.31 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.31 , X ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.88/1.31 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.88/1.31 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.31 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.31 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.31 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.88/1.31 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.88/1.31 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.31 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.88/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.88/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.31 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.31 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.31 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.88/1.31 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.88/1.31 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.31 ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.31 ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.31 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.88/1.31 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.88/1.31 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.31 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.88/1.31 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.88/1.31 X, 'tc_bool' ) ), Y ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), X ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.31 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.31 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.31 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.88/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.88/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.88/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.31 ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.31 ],
% 0.88/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.31 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.31 ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.88/1.31 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.88/1.31 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.31 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.31 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.88/1.31 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.31 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.31 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.88/1.31 Y, Z ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OField'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.88/1.31 'tc_prod'( Z, Z ) ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 'c_Relation_OField'( T, Z ),
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.88/1.31 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.88/1.31 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.88/1.31 'c_in'( Y, X, T ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.88/1.31 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.88/1.31 'c_in'( Y, X, T ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.88/1.31 T, X, Z ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.88/1.31 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.88/1.31 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.88/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.31 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.31 ) ],
% 0.88/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.31 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.31 ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_Orel__comp'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.31 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_Orel__comp'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.31 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 0.88/1.31 , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.88/1.31 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.88/1.31 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 Z, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 T, Z, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.31 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.31 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 Z, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 T, Z, X ), X ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OField'( 'v_r', 't_a' ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 0.88/1.31 , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'(
% 0.88/1.31 't_a', 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.88/1.31 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.88/1.31 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.31 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.31 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.31 ) ), Z, X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.31 ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.88/1.31 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.88/1.31 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.88/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.31 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.88/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.88/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.88/1.31 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.88/1.31 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.88/1.31 U, W ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.88/1.31 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.31 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.88/1.31 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.88/1.31 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.88/1.31 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.88/1.31 , T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.88/1.31 , T ) ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.88/1.31 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.88/1.31 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.88/1.31 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.88/1.31 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Oacyclic'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X
% 0.88/1.31 ), ~( 'c_Wellfounded_Oacyclic'( Y, X ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OField'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X )
% 0.88/1.31 , 'c_Relation_OField'( Y, X ) ) ],
% 0.88/1.31 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.88/1.31 'c_in'( X, Y, Z ) ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.88/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.88/1.31 , Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.88/1.31 , Y, T, T ), Z, 'tc_prod'( T, T ) ) ), =( X, Y ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ),
% 0.88/1.31 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.88/1.31 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.88/1.31 T, T ) ) ), =( Y, Z ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.88/1.31 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.88/1.31 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.88/1.31 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.31 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( X, T, Z ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 0.88/1.31 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.88/1.31 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), X ) ],
% 0.88/1.31 [ =( 'c_Relation_OField'( X, Y ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.88/1.31 , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.88/1.31 Y, X ), Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 T, X ), Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.31 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.88/1.31 Y, X ), Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.31 T, X ), Z, X ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.88/1.31 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.88/1.31 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.31 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.88/1.31 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.88/1.31 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.31 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.88/1.31 ],
% 0.88/1.31 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.88/1.31 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.88/1.31 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.31 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.31 T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.88/1.31 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.31 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.31 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.88/1.31 Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.31 T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.88/1.31 hAPP( X, T ) ) ) ],
% 0.88/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.88/1.31 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.88/1.31 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.31 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.31 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.31 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.88/1.31 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.88/1.31 'tc_bool' ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.88/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.88/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.31 ) ],
% 0.88/1.31 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.88/1.31 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.31 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.88/1.31 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.31 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.88/1.31 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.88/1.31 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.88/1.31 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.88/1.31 X, Z, T, U ),
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.88/1.31 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.88/1.31 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, U, U ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.88/1.31 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.88/1.31 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.88/1.31 ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.88/1.31 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 0.88/1.31 Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.88/1.31 ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X,
% 0.88/1.31 Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.31 Y, Z ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.88/1.31 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 0.88/1.31 , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U
% 0.88/1.31 ), U ) ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.88/1.31 Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.88/1.31 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 0.88/1.31 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.88/1.31 ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.88/1.31 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 0.88/1.31 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.88/1.31 ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 0.88/1.31 , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 0.88/1.31 , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.88/1.31 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.31 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.31 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.31 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.88/1.31 'tc_bool' ) ), Z ) ) ],
% 0.88/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.88/1.31 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.88/1.31 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.88/1.31 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.88/1.31 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.31 'tc_bool' ) ), Y ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.31 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.88/1.31 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.88/1.31 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.88/1.31 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.88/1.31 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.31 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.88/1.31 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.88/1.31 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), =( X, Z ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ),
% 0.88/1.31 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.88/1.31 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U )
% 0.88/1.31 ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.88/1.31 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.88/1.31 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.88/1.31 'tc_prod'( U, U ) ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.88/1.31 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.88/1.31 ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U,
% 0.88/1.31 U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.88/1.31 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.88/1.31 Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), 't_a',
% 0.88/1.31 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a',
% 0.88/1.31 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' )
% 0.88/1.31 , 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' )
% 0.88/1.31 ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.88/1.31 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y
% 0.88/1.31 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.88/1.31 ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.88/1.31 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z,
% 0.88/1.31 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.88/1.31 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.88/1.31 'tc_prod'( U, U ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.88/1.31 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.88/1.31 , =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'(
% 0.88/1.31 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T
% 0.88/1.31 , U ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 0.88/1.31 , U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 0.88/1.31 , U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T,
% 0.88/1.31 U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) )
% 0.88/1.31 ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.88/1.31 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.88/1.31 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.88/1.31 ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.88/1.31 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.88/1.31 T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) )
% 0.88/1.31 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.88/1.31 T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 0.88/1.31 ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 0.88/1.31 ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.88/1.31 ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'(
% 0.88/1.31 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Oacyclic'( Z, Y ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.88/1.31 Y, T, T ), Z, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T
% 0.88/1.31 ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.88/1.31 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ),
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.88/1.31 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.88/1.31 , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z,
% 0.88/1.31 T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 0.88/1.31 ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.88/1.31 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Z
% 0.88/1.31 , T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T,
% 0.88/1.31 T ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.88/1.31 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.31 , 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.88/1.31 ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.88/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.88/1.31 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 0.88/1.31 ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.88/1.31 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.88/1.31 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.88/1.31 , Z, T ), Z ) ) ],
% 0.88/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.88/1.31 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.88/1.31 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.88/1.31 Z, T ), T ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.88/1.31 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.88/1.31 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 0.88/1.31 ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ),
% 0.88/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.88/1.31 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.88/1.31 , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.88/1.31 ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 0.88/1.31 , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.88/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.88/1.31 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.88/1.31 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( Y, Y ), X ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y
% 0.88/1.31 , Y ), 'tc_bool' ) ), ~( 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.88/1.31 hAPP( 'c_Relation_Oconverse'( 't_a', 't_b' ), 'v_r' ), 't_b', 't_a' ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.88/1.31 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( X,
% 0.88/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.31 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'( hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( T, U ), X ), U, T ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.88/1.31 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.88/1.31 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.31 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.88/1.31 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.88/1.31 'tc_prod'( Y, Y ) ) ) ) ],
% 0.88/1.31 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.88/1.31 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.88/1.31 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.88/1.31 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.88/1.31 Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X,
% 0.88/1.31 T, U, W ), V0, 'tc_prod'( T, U ), W ), W ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 Y, Z, T, U ), V0, 'tc_prod'( T, U ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'(
% 0.88/1.31 X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 0.88/1.31 , 'c_Relation_OImage'( Z, X, T, U ), U ) ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.31 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 0.88/1.31 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 0.88/1.31 ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.88/1.31 , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 0.88/1.31 , Z, T ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.88/1.31 , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 0.88/1.31 X, Z ), Z ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 0.88/1.31 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.88/1.31 ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.88/1.31 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.88/1.31 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.88/1.31 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.88/1.31 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 0.88/1.31 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.88/1.31 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.88/1.31 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.88/1.31 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.88/1.31 , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.88/1.31 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.88/1.31 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'(
% 0.88/1.31 X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.88/1.31 'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.88/1.31 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 0.88/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.88/1.31 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.88/1.31 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'(
% 0.88/1.31 X, X ), Y ), Y, X, X, X ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) )
% 0.88/1.31 , ~( 'c_Relation_Otrans'( Y, X ) ), ~( 'c_Relation_Osym'( Y, X ) ) ],
% 0.88/1.31 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.88/1.31 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.88/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.88/1.31 ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.88/1.31 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ) ],
% 0.88/1.31 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.88/1.31 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.88/1.31 ), ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.88/1.31 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), hBOOL( 'c_in'( 'c_Pair'( X, T,
% 0.88/1.31 Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.88/1.31 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.31 ), ~( hBOOL( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( Y, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( 'c_Relation_Oantisym'(
% 0.88/1.31 X, Z ) ), ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z )
% 0.88/1.31 ), =( Y, T ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T,
% 0.88/1.31 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.88/1.31 ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.31 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T
% 0.88/1.31 , Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.88/1.31 T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T
% 0.88/1.31 , Y, Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.88/1.31 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.88/1.31 ],
% 0.88/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.88/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.31 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.88/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.88/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.88/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.88/1.31 X, T ), Y ) ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.88/1.31 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.88/1.31 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.88/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.31 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.88/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.31 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.88/1.31 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 X, Z, T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 X, Z, T ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.88/1.31 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.88/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.88/1.31 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.88/1.31 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.88/1.31 U ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) )
% 0.88/1.31 ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.88/1.31 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.88/1.31 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.31 ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.88/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( Y, T,
% 0.88/1.31 Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.88/1.31 ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.88/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.31 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( T, U, Z ) ) ),
% 0.88/1.31 ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.88/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.31 ), hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( T, U, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) )
% 0.88/1.31 ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.88/1.31 , 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.88/1.31 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y,
% 0.88/1.31 Z ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'(
% 0.88/1.31 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.88/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Osym'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ), ~(
% 0.88/1.31 'c_Relation_Osym'( Y, X ) ) ],
% 0.88/1.31 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X, hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( Z, Z ), Y ), Z ) ) ],
% 0.88/1.31 [ 'c_Relation_Orefl__on'( X, hAPP( 'c_Relation_Oconverse'( Y, Y ), Z ),
% 0.88/1.31 Y ), ~( 'c_Relation_Orefl__on'( X, Z, Y ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ), ~(
% 0.88/1.31 'c_Relation_Osym'( Y, X ) ) ],
% 0.88/1.31 [ ~( =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ) ),
% 0.88/1.31 'c_Relation_Osym'( Y, X ) ],
% 0.88/1.31 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), 'c_Relation_Orel__comp'( Z, T
% 0.88/1.31 , X, U, Y ) ), 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( U,
% 0.88/1.31 Y ), T ), hAPP( 'c_Relation_Oconverse'( X, U ), Z ), Y, U, X ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'( hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ),
% 0.88/1.31 ~( 'c_Relation_Otrans'( Y, X ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId'( X ) ),
% 0.88/1.31 'c_Relation_OId'( X ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_Oinv__image'( Y,
% 0.88/1.31 Z, T, X ) ), 'c_Relation_Oinv__image'( hAPP( 'c_Relation_Oconverse'( T, T
% 0.88/1.31 ), Y ), Z, T, X ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Otrancl'( hAPP( 'c_Relation_Oconverse'( X, X
% 0.88/1.31 ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId__on'( Y, X )
% 0.88/1.31 ), 'c_Relation_OId__on'( Y, X ) ) ],
% 0.88/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Oantisym'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X )
% 0.88/1.31 , ~( 'c_Relation_Oantisym'( Y, X ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( X,
% 0.88/1.31 X ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ) ],
% 0.88/1.31 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.88/1.31 hAPP( 'c_Relation_Oconverse'( Z, Z ), Y ), Z ) ) ],
% 0.88/1.31 [ 'c_Relation_Ototal__on'( X, hAPP( 'c_Relation_Oconverse'( Y, Y ), Z )
% 0.88/1.31 , Y ), ~( 'c_Relation_Ototal__on'( X, Z, Y ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.88/1.31 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.88/1.31 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.31 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.88/1.31 'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.88/1.31 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.31 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 0.88/1.31 ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.88/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.88/1.31 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.88/1.31 X, U ), W ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.88/1.31 X, U ), W ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.31 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.88/1.31 , T ) ) ) ],
% 0.88/1.31 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.88/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.88/1.31 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.88/1.31 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.31 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 0.88/1.31 , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 0.88/1.31 , U ), U ) ) ) ],
% 0.88/1.31 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( Y, X ) ), X ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.31 hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ) ) ],
% 0.88/1.31 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.88/1.31 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.88/1.31 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.31 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.88/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.88/1.31 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.88/1.31 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.31 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.31 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.31 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.31 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.31 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.31 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.88/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.31 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.31 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.88/1.31 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.31 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.31 'tc_bool' ) ) ) ],
% 0.88/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.88/1.31 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.88/1.31 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.31 'c_Relation_Otrans'( X, Z ) ) ],
% 0.88/1.31 [ ~( =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( X, X ), Y
% 0.88/1.31 ), Y, X, X, X ), Y ) ), 'c_Equiv__Relations_Oequiv'(
% 0.88/1.31 'c_Relation_ODomain'( Y, X, X ), Y, X ) ],
% 0.88/1.31 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.31 [ =( 'c_Relation_ORange'( hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), Y,
% 0.88/1.31 X ), 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.31 ,
% 0.88/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.88/1.31 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.88/1.31 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.31 [ =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( X, X ), Y )
% 0.88/1.31 , Y, X, X, X ), Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, Y, X ) ) ],
% 0.88/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.31 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.31 ) ), Y ) ) ) ],
% 0.88/1.31 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.88/1.31 Y, Z ) ) ],
% 0.88/1.31 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.31 'tc_bool' ) ), Y, X ) ],
% 0.88/1.31 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.88/1.31 ],
% 0.88/1.31 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 0.88/1.31 'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 0.88/1.31 , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ODomain'( hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), Y
% 0.88/1.31 , X ), 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.88/1.31 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.88/1.31 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'( hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( Y, Z ), X ), Z, Y ) ) ],
% 0.88/1.31 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.88/1.31 ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.88/1.31 , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'(
% 0.88/1.31 Z, X, T, U ), U ) ) ) ],
% 0.88/1.31 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL(
% 0.88/1.31 'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.88/1.31 ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 0.88/1.31 , T, Z ), Z ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__XconverseE__1__1'( X, Y, Z, T ),
% 0.88/1.31 'c_ATP__Linkup_Osko__Relation__XconverseE__1__2'( X, Y, Z, T ), Z, T ), X
% 0.88/1.31 , 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP(
% 0.88/1.31 'c_Relation_Oconverse'( Z, T ), X ), 'tc_prod'( T, Z ) ) ) ) ],
% 0.88/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XconverseE__1__2'( Y, X
% 0.88/1.31 , Z, T ), 'c_ATP__Linkup_Osko__Relation__XconverseE__1__1'( Y, X, Z, T )
% 0.88/1.31 , T, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( 'c_Relation_Oconverse'( Z, T ), Y
% 0.88/1.31 ), 'tc_prod'( T, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) )
% 0.88/1.31 , 'c_Pair'( W, V0, Z, T ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( Y, W
% 0.88/1.31 ), V0 ), U ) ) ) ],
% 0.88/1.31 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~(
% 0.88/1.31 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.88/1.31 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T,
% 0.88/1.31 U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 0.88/1.31 ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.31 [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z
% 0.88/1.31 , T, U ), X, 'tc_prod'( T, U ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.88/1.31 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 'c_Relation_Otrans'( T, Z ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 'c_Relation_Otrans'( T, Z ) ) ],
% 0.88/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.88/1.31 ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.31 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.31 , 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.31 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.88/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.88/1.31 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.88/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.88/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.88/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ),
% 0.88/1.32 ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.88/1.32 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.88/1.32 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.88/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.88/1.32 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.88/1.32 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.88/1.32 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T,
% 0.88/1.32 T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 0.88/1.32 , T, W ) ) ],
% 0.88/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.32 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.32 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.88/1.32 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 0.88/1.32 , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.88/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'(
% 0.88/1.32 Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.88/1.32 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.88/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.88/1.32 ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 0.88/1.32 , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 0.88/1.32 , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 0.88/1.32 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 0.88/1.32 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.32 'c_Relation_Osym'( T, Z ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.32 'c_Relation_Osym'( T, Z ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W,
% 0.88/1.32 Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 0.88/1.32 , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 0.88/1.32 , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.32 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.88/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.88/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.88/1.32 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.88/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.88/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.32 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.88/1.32 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.32 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.88/1.32 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.88/1.32 ), X ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.88/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( X, T ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.88/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.32 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.32 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ), =( Y, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ) ],
% 0.88/1.32 [ =( X, Y ), =( Y, X ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ],
% 0.88/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.32 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.32 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.88/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( Y, T ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.88/1.32 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, T ), =( Y, T ) ],
% 0.88/1.32 [ =( X, Y ), =( X, Y ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ), =( X, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ), =( X, Y ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.88/1.32 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.88/1.32 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.88/1.32 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.88/1.32 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( W, Z, T ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( W, Z, T ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.88/1.32 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.88/1.32 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.88/1.32 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.88/1.32 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.88/1.32 X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 0.88/1.32 ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.88/1.32 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~(
% 0.88/1.32 hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.88/1.32 'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.88/1.32 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.88/1.32 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.88/1.32 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.88/1.32 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.32 hAPP( 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ) ),
% 0.88/1.32 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), hAPP( 'c_Relation_Oconverse'( Z
% 0.88/1.32 , Z ), 'c_Transitive__Closure_Otrancl'( T, Z ) ), 'tc_prod'( Z, Z ) ) ) )
% 0.88/1.32 ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), hAPP( 'c_Relation_Oconverse'( Z
% 0.88/1.32 , Z ), 'c_Transitive__Closure_Otrancl'( T, Z ) ), 'tc_prod'( Z, Z ) ) ),
% 0.88/1.32 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.32 hAPP( 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ) ) ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.88/1.32 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.88/1.32 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.32 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( Z, Z ), T
% 0.88/1.32 ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z )
% 0.88/1.32 , 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.88/1.32 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.88/1.32 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.88/1.32 , V4 ), W ) ) ],
% 0.88/1.32 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.88/1.32 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.88/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP( 'c_Relation_Oconverse'( T
% 0.88/1.32 , Z ), U ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z
% 0.88/1.32 ), U, 'tc_prod'( T, Z ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP( 'c_Relation_Oconverse'( T
% 0.88/1.32 , Z ), U ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z
% 0.88/1.32 ), U, 'tc_prod'( T, Z ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.88/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), hAPP( 'c_Relation_Oconverse'( Z, T
% 0.88/1.32 ), U ), 'tc_prod'( T, Z ) ) ) ) ],
% 0.88/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.88/1.32 , 'v_x' ) ) ) ],
% 0.88/1.32 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.88/1.32 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.32 'v_b____', 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P_H____', X ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.32 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ) ],
% 0.88/1.32 [ ~( =( 'v_b____', 'v_c____' ) ) ],
% 0.88/1.32 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), hAPP( 'c_Relation_Oconverse'(
% 0.88/1.32 Y, X ), Z ) ), Z ) ],
% 0.88/1.32 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.88/1.32 ) ],
% 0.88/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.88/1.32 ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.88/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.88/1.32 [ ~( =( 'v_a____', 'v_c____' ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.32 'v_b____', 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P_H____', X ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.32 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'v_P_H____', 'c_Arrow__Order__Mirabelle_OProf',
% 0.88/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'tc_bool' ) ) ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'tc_bool' ) ) ) ) ],
% 0.88/1.32 [ ~( =( 'v_a____', 'v_c____' ) ) ],
% 0.88/1.32 [ ~( =( 'v_b____', 'v_c____' ) ) ],
% 0.88/1.32 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.88/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 hAPP( 'v_P_H____', 'v_x' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.88/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.32 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_Fun_Ocomp'(
% 0.88/1.32 'c_Relation_Oconverse'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ),
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_x' ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ],
% 0.88/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 hAPP( 'v_P_H____', 'v_x' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.88/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.88/1.32 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_Fun_Ocomp'(
% 0.88/1.32 'c_Relation_Oconverse'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.32 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ),
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_x' ), 'tc_prod'(
% 0.88/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.32 ) ) ],
% 0.88/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.32 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.88/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.32 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.32 'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.32 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.32 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.32 'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.32 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.88/1.32 Y ) ) ],
% 0.88/1.32 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.32 ,
% 0.88/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.88/1.32 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.32 [ 'c_fequal'( X, X, Y ) ],
% 0.88/1.32 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.88/1.32 ] .
% 0.88/1.32
% 0.88/1.32
% 0.88/1.32 percentage equality = 0.234375, percentage horn = 0.878683
% 0.88/1.32 This is a problem with some equality
% 0.88/1.32
% 0.88/1.32
% 0.88/1.32
% 0.88/1.32 Options Used:
% 0.88/1.32
% 0.88/1.32 useres = 1
% 0.88/1.32 useparamod = 1
% 0.88/1.32 useeqrefl = 1
% 0.88/1.32 useeqfact = 1
% 0.88/1.32 usefactor = 1
% 0.88/1.32 usesimpsplitting = 0
% 0.88/1.32 usesimpdemod = 5
% 0.88/1.32 usesimpres = 3
% 0.88/1.32
% 0.88/1.32 resimpinuse = 1000
% 0.88/1.32 resimpclauses = 20000
% 0.88/1.32 substype = eqrewr
% 0.88/1.32 backwardsubs = 1
% 0.88/1.32 selectoldest = 5
% 0.88/1.32
% 0.88/1.32 litorderings [0] = split
% 0.88/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.32
% 0.88/1.32 termordering = kbo
% 0.88/1.32
% 0.88/1.32 litapriori = 0
% 0.88/1.32 termapriori = 1
% 0.88/1.32 litaposteriori = 0
% 0.88/1.32 termaposteriori = 0
% 0.88/1.32 demodaposteriori = 0
% 0.88/1.32 ordereqreflfact = 0
% 0.88/1.32
% 0.88/1.32 litselect = negord
% 0.88/1.32
% 0.88/1.32 maxweight = 15
% 0.88/1.32 maxdepth = 30000
% 0.88/1.32 maxlength = 115
% 0.88/1.32 maxnrvars = 195
% 0.88/1.32 excuselevel = 1
% 0.88/1.32 increasemaxweight = 1
% 0.88/1.32
% 0.88/1.32 maxselected = 10000000
% 0.88/1.32 maxnrclauses = 10000000
% 0.88/1.32
% 0.88/1.32 showgenerated = 0
% 0.88/1.32 showkept = 0
% 0.88/1.32 showselected = 0
% 0.88/1.32 showdeleted = 0
% 0.88/1.32 showresimp = 1
% 0.88/1.32 showstatus = 2000
% 0.88/1.32
% 0.88/1.32 prologoutput = 1
% 0.88/1.32 nrgoals = 5000000
% 0.88/1.32 totalproof = 1
% 0.88/1.32
% 0.88/1.32 Symbols occurring in the translation:
% 0.88/1.32
% 0.88/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.32 . [1, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.88/1.32 ! [4, 1] (w:0, o:85, a:1, s:1, b:0),
% 0.88/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.32 'class_Lattices_Olattice' [40, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.88/1.32 'c_Lattices_Oupper__semilattice__class_Osup' [44, 3] (w:1, o:158, a:1
% 0.88/1.32 , s:1, b:0),
% 0.88/1.32 'tc_bool' [47, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.88/1.32 'tc_fun' [48, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.88/1.32 'c_Lattices_Olower__semilattice__class_Oinf' [49, 3] (w:1, o:159, a:1
% 0.88/1.32 , s:1, b:0),
% 0.88/1.32 'c_lessequals' [50, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.88/1.32 'class_Lattices_Olower__semilattice' [51, 1] (w:1, o:91, a:1, s:1, b:
% 0.88/1.32 0),
% 0.88/1.32 'class_Lattices_Oupper__semilattice' [53, 1] (w:1, o:92, a:1, s:1, b:
% 0.88/1.32 0),
% 0.88/1.32 'c_Set_Oimage' [56, 4] (w:1, o:189, a:1, s:1, b:0),
% 0.88/1.32 'c_HOL_Ominus__class_Ominus' [57, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.88/1.32 'c_Orderings_Obot__class_Obot' [58, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.88/1.32 'class_OrderedGroup_Oab__group__add' [59, 1] (w:1, o:94, a:1, s:1, b:
% 0.88/1.32 0),
% 0.88/1.32 hAPP [65, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.88/1.32 hBOOL [66, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.88/1.32 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [68, 3] (w:1, o:162, a:
% 0.88/1.32 1, s:1, b:0),
% 0.88/1.32 'c_Wellfounded_Owf' [69, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.88/1.32 'c_Relation_OImage' [70, 4] (w:1, o:187, a:1, s:1, b:0),
% 0.88/1.32 'tc_prod' [72, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.88/1.32 'c_Relation_Orel__comp' [76, 5] (w:1, o:210, a:1, s:1, b:0),
% 0.88/1.32 'class_Lattices_Odistrib__lattice' [79, 1] (w:1, o:96, a:1, s:1, b:0)
% 0.88/1.32 ,
% 0.88/1.32 'c_Relation_ODomain' [80, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.88/1.32 't_a' [82, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.88/1.32 'v_x' [83, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.88/1.32 'c_in' [84, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.88/1.32 'c_Set_Oinsert' [85, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.88/1.32 'c_Relation_ORange' [87, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.88/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [89, 3] (w:1, o:
% 0.88/1.32 170, a:1, s:1, b:0),
% 0.88/1.32 'c_Transitive__Closure_Ortrancl' [90, 2] (w:1, o:135, a:1, s:1, b:0)
% 0.88/1.32 ,
% 0.88/1.32 'class_Orderings_Obot' [91, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.88/1.32 'c_Relation_Osym' [92, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.88/1.32 'class_Lattices_Obounded__lattice' [93, 1] (w:1, o:98, a:1, s:1, b:0)
% 0.88/1.32 ,
% 0.88/1.32 'c_Product__Type_OSigma' [96, 4] (w:1, o:190, a:1, s:1, b:0),
% 0.88/1.32 'c_Relation_Orefl__on' [97, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.88/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [100, 3] (w:1, o:
% 0.88/1.32 171, a:1, s:1, b:0),
% 0.88/1.32 'class_Orderings_Oorder' [101, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.69/2.11 'c_Wellfounded_Oacyclic' [102, 2] (w:1, o:137, a:1, s:1, b:0),
% 1.69/2.11 'c_Pair' [103, 4] (w:1, o:191, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_OField' [104, 2] (w:1, o:138, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_Ototal__on' [105, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.69/2.11 'c_Order__Relation_Ostrict__linear__order__on' [106, 3] (w:1, o:172
% 1.69/2.11 , a:1, s:1, b:0),
% 1.69/2.11 'class_HOL_Ominus' [108, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.69/2.11 'v_r' [109, 0] (w:1, o:57, a:1, s:1, b:0),
% 1.69/2.11 'c_Wellfounded_Oacc' [111, 2] (w:1, o:139, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [113, 3]
% 1.69/2.11 (w:1, o:173, a:1, s:1, b:0),
% 1.69/2.11 'c_List_Osko__Recdef__Xcuts__eq__1__1' [114, 6] (w:1, o:216, a:1, s:1
% 1.69/2.11 , b:0),
% 1.69/2.11 'c_Recdef_Ocut' [115, 5] (w:1, o:211, a:1, s:1, b:0),
% 1.69/2.11 'class_HOL_Oord' [116, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.69/2.11 'c_Fun_Ocomp' [120, 5] (w:1, o:212, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_Oconverse' [121, 2] (w:1, o:140, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_OId' [122, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_Oirrefl' [123, 2] (w:1, o:141, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [124, 4]
% 1.69/2.11 (w:1, o:192, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [125
% 1.69/2.11 , 4] (w:1, o:193, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_Otrans' [126, 2] (w:1, o:142, a:1, s:1, b:0),
% 1.69/2.11 'class_Orderings_Opreorder' [127, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_Oantisym' [130, 2] (w:1, o:143, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_Osingle__valued' [131, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.69/2.11 'class_OrderedGroup_Opordered__ab__group__add' [132, 1] (w:1, o:104
% 1.69/2.11 , a:1, s:1, b:0),
% 1.69/2.11 'class_Orderings_Olinorder' [134, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 1.69/2.11 [135, 4] (w:1, o:194, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 1.69/2.11 [136, 4] (w:1, o:195, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [137, 4
% 1.69/2.11 ] (w:1, o:196, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [138, 4
% 1.69/2.11 ] (w:1, o:197, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [139, 3]
% 1.69/2.11 (w:1, o:174, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [140, 3] (w:1, o:
% 1.69/2.11 175, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [141, 5] (w:1, o:213
% 1.69/2.11 , a:1, s:1, b:0),
% 1.69/2.11 'c_COMBK' [142, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.69/2.11 'c_Transitive__Closure_Otrancl' [143, 2] (w:1, o:144, a:1, s:1, b:0)
% 1.69/2.11 ,
% 1.69/2.11 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [144, 3] (w:1
% 1.69/2.11 , o:177, a:1, s:1, b:0),
% 1.69/2.11 'v_sko__Wellfounded__Xacc__Xinducts__1' [145, 2] (w:1, o:145, a:1, s:
% 1.69/2.11 1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [146, 3]
% 1.69/2.11 (w:1, o:178, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [147, 3] (w:
% 1.69/2.11 1, o:179, a:1, s:1, b:0),
% 1.69/2.11 'v_sko__Wellfounded__Xacc__Xinduct__1' [148, 2] (w:1, o:146, a:1, s:1
% 1.69/2.11 , b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [149, 3] (w:1
% 1.69/2.11 , o:180, a:1, s:1, b:0),
% 1.69/2.11 'c_Relation_OId__on' [150, 2] (w:1, o:147, a:1, s:1, b:0),
% 1.69/2.11 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [153, 3] (w:1, o:
% 1.69/2.11 181, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [155
% 1.69/2.11 , 2] (w:1, o:148, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [156,
% 1.69/2.11 4] (w:1, o:198, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [157, 4]
% 1.69/2.11 (w:1, o:199, a:1, s:1, b:0),
% 1.69/2.11 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [158, 3] (w:1, o:182
% 1.69/2.11 , a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [159, 4]
% 1.69/2.11 (w:1, o:201, a:1, s:1, b:0),
% 1.69/2.11 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [160, 4]
% 1.69/2.11 (w:1, o:200, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [161, 7] (w:1
% 10.87/11.27 , o:218, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [162, 2] (w:1, o:149, a:1
% 10.87/11.27 , s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [163, 2] (w:1
% 10.87/11.27 , o:150, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [164, 2] (w:1, o:
% 10.87/11.27 151, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [165, 3] (w:1, o:183
% 10.87/11.27 , a:1, s:1, b:0),
% 10.87/11.27 't_b' [166, 0] (w:1, o:62, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [167, 2] (w:1, o:
% 10.87/11.27 152, a:1, s:1, b:0),
% 10.87/11.27 'c_Nitpick_Orefl_H' [168, 2] (w:1, o:153, a:1, s:1, b:0),
% 10.87/11.27 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [169, 2] (w:1, o:154
% 10.87/11.27 , a:1, s:1, b:0),
% 10.87/11.27 'c_split' [170, 4] (w:1, o:202, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [171, 4] (w:1, o:203
% 10.87/11.27 , a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [172, 4] (w:1, o:
% 10.87/11.27 204, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [174, 4] (w:1, o:205
% 10.87/11.27 , a:1, s:1, b:0),
% 10.87/11.27 'c_Equiv__Relations_Oquotient' [175, 3] (w:1, o:184, a:1, s:1, b:0),
% 10.87/11.27
% 10.87/11.27 'c_Equiv__Relations_Oequiv' [176, 3] (w:1, o:185, a:1, s:1, b:0),
% 10.87/11.27 'c_Relation_Oinv__image' [178, 4] (w:1, o:188, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [179, 5] (w:1, o:
% 10.87/11.27 214, a:1, s:1, b:0),
% 10.87/11.27 'c_Equiv__Relations_Ocongruent' [182, 4] (w:1, o:206, a:1, s:1, b:0)
% 10.87/11.27 ,
% 10.87/11.27 'c_Equiv__Relations_Ocongruent2' [184, 6] (w:1, o:217, a:1, s:1, b:0)
% 10.87/11.27 ,
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [185, 4] (w:1, o:
% 10.87/11.27 207, a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XconverseE__1__1' [187, 4] (w:1, o:208
% 10.87/11.27 , a:1, s:1, b:0),
% 10.87/11.27 'c_ATP__Linkup_Osko__Relation__XconverseE__1__2' [188, 4] (w:1, o:209
% 10.87/11.27 , a:1, s:1, b:0),
% 10.87/11.27 'c_FunDef_Oin__rel' [193, 5] (w:1, o:215, a:1, s:1, b:0),
% 10.87/11.27 'tc_Arrow__Order__Mirabelle_Oalt' [194, 0] (w:1, o:67, a:1, s:1, b:0)
% 10.87/11.27 ,
% 10.87/11.27 'c_Arrow__Order__Mirabelle_Omktop' [196, 2] (w:1, o:155, a:1, s:1, b:
% 10.87/11.27 0),
% 10.87/11.27 'c_Arrow__Order__Mirabelle_Omkbot' [197, 2] (w:1, o:156, a:1, s:1, b:
% 10.87/11.27 0),
% 10.87/11.27 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [198, 2] (w:1, o:
% 10.87/11.27 157, a:1, s:1, b:0),
% 10.87/11.27 'v_a____' [199, 0] (w:1, o:69, a:1, s:1, b:0),
% 10.87/11.27 'v_b____' [200, 0] (w:1, o:70, a:1, s:1, b:0),
% 10.87/11.27 'v_P____' [208, 0] (w:1, o:75, a:1, s:1, b:0),
% 10.87/11.27 'v_c____' [210, 0] (w:1, o:77, a:1, s:1, b:0),
% 10.87/11.27 'v_P_H____' [211, 0] (w:1, o:78, a:1, s:1, b:0),
% 10.87/11.27 'c_Arrow__Order__Mirabelle_OProf' [212, 0] (w:1, o:79, a:1, s:1, b:0)
% 10.87/11.27 ,
% 10.87/11.27 'tc_Arrow__Order__Mirabelle_Oindi' [213, 0] (w:1, o:80, a:1, s:1, b:0
% 10.87/11.27 ),
% 10.87/11.27 'c_fequal' [216, 3] (w:1, o:186, a:1, s:1, b:0).
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Starting Search:
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Intermediate Status:
% 10.87/11.27 Generated: 5736
% 10.87/11.27 Kept: 2000
% 10.87/11.27 Inuse: 165
% 10.87/11.27 Deleted: 21
% 10.87/11.27 Deletedinuse: 0
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Intermediate Status:
% 10.87/11.27 Generated: 13219
% 10.87/11.27 Kept: 4001
% 10.87/11.27 Inuse: 345
% 10.87/11.27 Deleted: 34
% 10.87/11.27 Deletedinuse: 2
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Intermediate Status:
% 10.87/11.27 Generated: 24714
% 10.87/11.27 Kept: 6023
% 10.87/11.27 Inuse: 446
% 10.87/11.27 Deleted: 39
% 10.87/11.27 Deletedinuse: 4
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Intermediate Status:
% 10.87/11.27 Generated: 33939
% 10.87/11.27 Kept: 8029
% 10.87/11.27 Inuse: 516
% 10.87/11.27 Deleted: 44
% 10.87/11.27 Deletedinuse: 8
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Intermediate Status:
% 10.87/11.27 Generated: 42821
% 10.87/11.27 Kept: 10132
% 10.87/11.27 Inuse: 574
% 10.87/11.27 Deleted: 45
% 10.87/11.27 Deletedinuse: 8
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Intermediate Status:
% 10.87/11.27 Generated: 50386
% 10.87/11.27 Kept: 12180
% 10.87/11.27 Inuse: 624
% 10.87/11.27 Deleted: 45
% 10.87/11.27 Deletedinuse: 8
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Intermediate Status:
% 10.87/11.27 Generated: 60819
% 10.87/11.27 Kept: 14206
% 10.87/11.27 Inuse: 726
% 10.87/11.27 Deleted: 52
% 10.87/11.27 Deletedinuse: 12
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27 Resimplifying inuse:
% 10.87/11.27 Done
% 10.87/11.27
% 10.87/11.27
% 10.87/11.27 Intermediate Status:
% 10.87/11.27 Generated: 79891
% 61.12/61.56 Kept: 16290
% 61.12/61.56 Inuse: 760
% 61.12/61.56 Deleted: 55
% 61.12/61.56 Deletedinuse: 15
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 101409
% 61.12/61.56 Kept: 18292
% 61.12/61.56 Inuse: 791
% 61.12/61.56 Deleted: 59
% 61.12/61.56 Deletedinuse: 19
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 114269
% 61.12/61.56 Kept: 20428
% 61.12/61.56 Inuse: 840
% 61.12/61.56 Deleted: 64
% 61.12/61.56 Deletedinuse: 23
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying clauses:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 128871
% 61.12/61.56 Kept: 22518
% 61.12/61.56 Inuse: 875
% 61.12/61.56 Deleted: 521
% 61.12/61.56 Deletedinuse: 24
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 142345
% 61.12/61.56 Kept: 24537
% 61.12/61.56 Inuse: 918
% 61.12/61.56 Deleted: 521
% 61.12/61.56 Deletedinuse: 24
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 159539
% 61.12/61.56 Kept: 26892
% 61.12/61.56 Inuse: 978
% 61.12/61.56 Deleted: 521
% 61.12/61.56 Deletedinuse: 24
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 171270
% 61.12/61.56 Kept: 29164
% 61.12/61.56 Inuse: 995
% 61.12/61.56 Deleted: 522
% 61.12/61.56 Deletedinuse: 25
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 186891
% 61.12/61.56 Kept: 31193
% 61.12/61.56 Inuse: 1030
% 61.12/61.56 Deleted: 539
% 61.12/61.56 Deletedinuse: 27
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 197784
% 61.12/61.56 Kept: 33214
% 61.12/61.56 Inuse: 1064
% 61.12/61.56 Deleted: 557
% 61.12/61.56 Deletedinuse: 27
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 215115
% 61.12/61.56 Kept: 35318
% 61.12/61.56 Inuse: 1122
% 61.12/61.56 Deleted: 557
% 61.12/61.56 Deletedinuse: 27
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 239265
% 61.12/61.56 Kept: 38974
% 61.12/61.56 Inuse: 1181
% 61.12/61.56 Deleted: 562
% 61.12/61.56 Deletedinuse: 31
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 257175
% 61.12/61.56 Kept: 42337
% 61.12/61.56 Inuse: 1206
% 61.12/61.56 Deleted: 562
% 61.12/61.56 Deletedinuse: 31
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying clauses:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 270278
% 61.12/61.56 Kept: 44808
% 61.12/61.56 Inuse: 1216
% 61.12/61.56 Deleted: 1072
% 61.12/61.56 Deletedinuse: 31
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 282906
% 61.12/61.56 Kept: 47308
% 61.12/61.56 Inuse: 1226
% 61.12/61.56 Deleted: 1072
% 61.12/61.56 Deletedinuse: 31
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 294896
% 61.12/61.56 Kept: 49369
% 61.12/61.56 Inuse: 1261
% 61.12/61.56 Deleted: 1072
% 61.12/61.56 Deletedinuse: 31
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 304687
% 61.12/61.56 Kept: 51457
% 61.12/61.56 Inuse: 1281
% 61.12/61.56 Deleted: 1075
% 61.12/61.56 Deletedinuse: 34
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 318915
% 61.12/61.56 Kept: 53701
% 61.12/61.56 Inuse: 1306
% 61.12/61.56 Deleted: 1075
% 61.12/61.56 Deletedinuse: 34
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 328825
% 61.12/61.56 Kept: 55709
% 61.12/61.56 Inuse: 1353
% 61.12/61.56 Deleted: 1078
% 61.12/61.56 Deletedinuse: 37
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 338435
% 61.12/61.56 Kept: 57735
% 61.12/61.56 Inuse: 1396
% 61.12/61.56 Deleted: 1079
% 61.12/61.56 Deletedinuse: 38
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 347949
% 61.12/61.56 Kept: 59875
% 61.12/61.56 Inuse: 1422
% 61.12/61.56 Deleted: 1083
% 61.12/61.56 Deletedinuse: 38
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 358900
% 61.12/61.56 Kept: 61989
% 61.12/61.56 Inuse: 1452
% 61.12/61.56 Deleted: 1083
% 61.12/61.56 Deletedinuse: 38
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying clauses:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 368338
% 61.12/61.56 Kept: 64207
% 61.12/61.56 Inuse: 1477
% 61.12/61.56 Deleted: 1411
% 61.12/61.56 Deletedinuse: 38
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 386429
% 61.12/61.56 Kept: 66223
% 61.12/61.56 Inuse: 1487
% 61.12/61.56 Deleted: 1411
% 61.12/61.56 Deletedinuse: 38
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 403828
% 61.12/61.56 Kept: 70304
% 61.12/61.56 Inuse: 1507
% 61.12/61.56 Deleted: 1411
% 61.12/61.56 Deletedinuse: 38
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 61.12/61.56 Done
% 61.12/61.56
% 61.12/61.56
% 61.12/61.56 Intermediate Status:
% 61.12/61.56 Generated: 444025
% 61.12/61.56 Kept: 75736
% 61.12/61.56 Inuse: 1512
% 61.12/61.56 Deleted: 1412
% 61.12/61.56 Deletedinuse: 39
% 61.12/61.56
% 61.12/61.56 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 486217
% 163.98/164.41 Kept: 81224
% 163.98/164.41 Inuse: 1517
% 163.98/164.41 Deleted: 1412
% 163.98/164.41 Deletedinuse: 39
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 499986
% 163.98/164.41 Kept: 84119
% 163.98/164.41 Inuse: 1522
% 163.98/164.41 Deleted: 1412
% 163.98/164.41 Deletedinuse: 39
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying clauses:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 519137
% 163.98/164.41 Kept: 86276
% 163.98/164.41 Inuse: 1542
% 163.98/164.41 Deleted: 1428
% 163.98/164.41 Deletedinuse: 39
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 533419
% 163.98/164.41 Kept: 89373
% 163.98/164.41 Inuse: 1547
% 163.98/164.41 Deleted: 1428
% 163.98/164.41 Deletedinuse: 39
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 552341
% 163.98/164.41 Kept: 91611
% 163.98/164.41 Inuse: 1557
% 163.98/164.41 Deleted: 1430
% 163.98/164.41 Deletedinuse: 41
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 561678
% 163.98/164.41 Kept: 93882
% 163.98/164.41 Inuse: 1572
% 163.98/164.41 Deleted: 1431
% 163.98/164.41 Deletedinuse: 42
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 579982
% 163.98/164.41 Kept: 95912
% 163.98/164.41 Inuse: 1622
% 163.98/164.41 Deleted: 1432
% 163.98/164.41 Deletedinuse: 42
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 644546
% 163.98/164.41 Kept: 97979
% 163.98/164.41 Inuse: 1639
% 163.98/164.41 Deleted: 1436
% 163.98/164.41 Deletedinuse: 46
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 667545
% 163.98/164.41 Kept: 101263
% 163.98/164.41 Inuse: 1641
% 163.98/164.41 Deleted: 1436
% 163.98/164.41 Deletedinuse: 46
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 681097
% 163.98/164.41 Kept: 103334
% 163.98/164.41 Inuse: 1675
% 163.98/164.41 Deleted: 1437
% 163.98/164.41 Deletedinuse: 46
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying clauses:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 694018
% 163.98/164.41 Kept: 105335
% 163.98/164.41 Inuse: 1715
% 163.98/164.41 Deleted: 2116
% 163.98/164.41 Deletedinuse: 47
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 726022
% 163.98/164.41 Kept: 110271
% 163.98/164.41 Inuse: 1758
% 163.98/164.41 Deleted: 2118
% 163.98/164.41 Deletedinuse: 47
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 736727
% 163.98/164.41 Kept: 112623
% 163.98/164.41 Inuse: 1773
% 163.98/164.41 Deleted: 2123
% 163.98/164.41 Deletedinuse: 47
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 756472
% 163.98/164.41 Kept: 114775
% 163.98/164.41 Inuse: 1780
% 163.98/164.41 Deleted: 2126
% 163.98/164.41 Deletedinuse: 47
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 768421
% 163.98/164.41 Kept: 116818
% 163.98/164.41 Inuse: 1806
% 163.98/164.41 Deleted: 2128
% 163.98/164.41 Deletedinuse: 49
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 779511
% 163.98/164.41 Kept: 119149
% 163.98/164.41 Inuse: 1825
% 163.98/164.41 Deleted: 2129
% 163.98/164.41 Deletedinuse: 50
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 799764
% 163.98/164.41 Kept: 121615
% 163.98/164.41 Inuse: 1840
% 163.98/164.41 Deleted: 2130
% 163.98/164.41 Deletedinuse: 51
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 818220
% 163.98/164.41 Kept: 125697
% 163.98/164.41 Inuse: 1850
% 163.98/164.41 Deleted: 2130
% 163.98/164.41 Deletedinuse: 51
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying clauses:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 838785
% 163.98/164.41 Kept: 129840
% 163.98/164.41 Inuse: 1860
% 163.98/164.41 Deleted: 2460
% 163.98/164.41 Deletedinuse: 52
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 847298
% 163.98/164.41 Kept: 131944
% 163.98/164.41 Inuse: 1880
% 163.98/164.41 Deleted: 2463
% 163.98/164.41 Deletedinuse: 55
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 860505
% 163.98/164.41 Kept: 134410
% 163.98/164.41 Inuse: 1900
% 163.98/164.41 Deleted: 2463
% 163.98/164.41 Deletedinuse: 55
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 913562
% 163.98/164.41 Kept: 141474
% 163.98/164.41 Inuse: 1909
% 163.98/164.41 Deleted: 2464
% 163.98/164.41 Deletedinuse: 55
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 967392
% 163.98/164.41 Kept: 148572
% 163.98/164.41 Inuse: 1914
% 163.98/164.41 Deleted: 2464
% 163.98/164.41 Deletedinuse: 55
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41 Resimplifying clauses:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 991505
% 163.98/164.41 Kept: 152796
% 163.98/164.41 Inuse: 1924
% 163.98/164.41 Deleted: 2807
% 163.98/164.41 Deletedinuse: 55
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 1050230
% 163.98/164.41 Kept: 160504
% 163.98/164.41 Inuse: 1934
% 163.98/164.41 Deleted: 2809
% 163.98/164.41 Deletedinuse: 57
% 163.98/164.41
% 163.98/164.41 Resimplifying inuse:
% 163.98/164.41 Done
% 163.98/164.41
% 163.98/164.41
% 163.98/164.41 Intermediate Status:
% 163.98/164.41 Generated: 1108613
% 163.98/164.41 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------