TSTP Solution File: SCT064-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT064-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 21:00:56 EDT 2022
% Result : Timeout 300.03s 300.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT064-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 07:39:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.87/1.30 *** allocated 10000 integers for termspace/termends
% 0.87/1.30 *** allocated 10000 integers for clauses
% 0.87/1.30 *** allocated 10000 integers for justifications
% 0.87/1.30 *** allocated 15000 integers for termspace/termends
% 0.87/1.30 Bliksem 1.12
% 0.87/1.30
% 0.87/1.30
% 0.87/1.30 Automatic Strategy Selection
% 0.87/1.30
% 0.87/1.30 Clauses:
% 0.87/1.30 [
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.87/1.30 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.87/1.30 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.87/1.30 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.87/1.30 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.30 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.30 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 , X ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.87/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.87/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.87/1.30 'c_in'( U, T, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.87/1.30 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.87/1.30 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.87/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.87/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.30 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.30 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.30 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.87/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.87/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.87/1.30 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.30 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.30 ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.87/1.30 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.87/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.87/1.30 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.87/1.30 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.87/1.30 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.87/1.30 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.87/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.30 X, 'tc_bool' ) ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.87/1.30 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.87/1.30 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.87/1.30 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.87/1.30 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.87/1.30 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.87/1.30 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.87/1.30 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.30 ) ), Y ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.87/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.87/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.87/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.87/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.87/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.87/1.30 Y, Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.30 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.87/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.87/1.30 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.87/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.87/1.30 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.30 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.30 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.87/1.30 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.87/1.30 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 T, Z, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 T, Z, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.87/1.30 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.30 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ), Z, X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.87/1.30 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.87/1.30 'c_in'( X, T, Z ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.87/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.87/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.87/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.87/1.30 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.87/1.30 , T ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.87/1.30 , T ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.87/1.30 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.30 ), Y ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.30 ), Y ) ) ],
% 0.87/1.30 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.30 ), Y ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.87/1.30 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.87/1.30 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.87/1.30 Z ) ) ],
% 0.87/1.30 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.30 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ),
% 0.87/1.30 'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( hAPP( Y,
% 0.87/1.30 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.87/1.30 ), hAPP( W, 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X,
% 0.87/1.30 Y, W, Z, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.87/1.30 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.87/1.30 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.87/1.30 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.87/1.30 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.87/1.30 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.87/1.30 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X
% 0.87/1.30 ), ~( 'c_Wellfounded_Oacyclic'( Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.87/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.87/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.87/1.30 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.30 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.30 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.87/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.30 'tc_bool' ) ), Y, X ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.87/1.30 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.87/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.87/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.87/1.30 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.87/1.30 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.87/1.30 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.87/1.30 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.87/1.30 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.87/1.30 , Z ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.87/1.30 Y, X ), Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 T, X ), Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.87/1.30 Y, X ), Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 T, X ), Z, X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.87/1.30 ],
% 0.87/1.30 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.87/1.30 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.87/1.30 hAPP( X, T ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.30 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.30 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.87/1.30 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.87/1.30 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.87/1.30 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.87/1.30 U ) ],
% 0.87/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.87/1.30 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.87/1.30 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.87/1.30 , T ), T ) ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.87/1.30 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.87/1.30 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.87/1.30 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.87/1.30 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.87/1.30 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.87/1.30 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.87/1.30 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), Y ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), Y ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.87/1.30 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.87/1.30 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.87/1.30 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.30 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.87/1.30 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.87/1.30 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.87/1.30 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.87/1.30 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.87/1.30 hAPP( 'c_Relation_Oconverse'( 't_a', 't_b' ), 'v_r' ), 't_b', 't_a' ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.87/1.30 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.87/1.30 'tc_prod'( Y, Y ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.87/1.30 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.87/1.30 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( T, U ), X ), U, T ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.87/1.30 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.87/1.30 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.87/1.30 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.87/1.30 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.87/1.30 'tc_prod'( Y, Y ) ) ) ],
% 0.87/1.30 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.87/1.30 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.87/1.30 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.87/1.30 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.87/1.30 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.87/1.30 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.87/1.30 ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.87/1.30 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.87/1.30 ), U ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_in'( W, Y, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.87/1.30 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.87/1.30 ~( 'c_in'( W, T, U ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, Y, Z, T ),
% 0.87/1.30 'c_Product__Type_OSigma'( U, W, Z, T ), 'tc_fun'( 'tc_prod'( Z, T ),
% 0.87/1.30 'tc_bool' ) ), 'c_in'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1'( X, Y, W, Z, T )
% 0.87/1.30 , X, Z ), ~( 'c_lessequals'( X, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.87/1.30 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.87/1.30 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.87/1.30 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.87/1.30 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.87/1.30 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.87/1.30 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.87/1.30 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.87/1.30 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.87/1.30 T ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.87/1.30 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.87/1.30 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.87/1.30 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.87/1.30 Z ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.87/1.30 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.87/1.30 , Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.87/1.30 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.87/1.30 , X, 'tc_prod'( Z, Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.87/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.87/1.30 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.87/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.87/1.30 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.87/1.30 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.87/1.30 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Y, Y ), X ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y
% 0.87/1.30 , Y ), 'tc_bool' ) ), ~( 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.87/1.30 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.87/1.30 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.87/1.30 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.87/1.30 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.87/1.30 ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.87/1.30 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.87/1.30 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.87/1.30 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.87/1.30 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.87/1.30 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.87/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.87/1.30 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.87/1.30 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.87/1.30 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.87/1.30 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.87/1.30 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.87/1.30 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.87/1.30 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.87/1.30 , T, Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.87/1.30 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.87/1.30 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.87/1.30 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.87/1.30 , Z, T ), Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.87/1.30 X, T ), Y ) ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.87/1.30 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.87/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.87/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.87/1.30 , T ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.87/1.30 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.87/1.30 , T ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.87/1.30 , Z ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.87/1.30 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.87/1.30 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.87/1.30 Z, T ), T ) ) ],
% 0.87/1.30 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.87/1.30 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.87/1.30 , Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.87/1.30 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.87/1.30 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.87/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.87/1.30 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.87/1.30 T ), 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.87/1.30 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.87/1.30 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.87/1.30 ), 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'(
% 0.87/1.30 X, X ), Y ), Y, X, X, X ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) )
% 0.87/1.30 , ~( 'c_Relation_Otrans'( Y, X ) ), ~( 'c_Relation_Osym'( Y, X ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.87/1.30 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.87/1.30 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.87/1.30 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.87/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( Z, Z ), T
% 0.87/1.30 ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.87/1.30 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.87/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.87/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), hAPP( 'c_Relation_Oconverse'( Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( T, Z ) ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( X, Y, Z, Z ), hAPP( 'c_Relation_Oconverse'( Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( T, Z ) ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.87/1.30 X, U ), W ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.87/1.30 X, U ), W ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.30 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.87/1.30 , T ) ) ) ],
% 0.87/1.30 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.87/1.30 , Z, T ) ) ],
% 0.87/1.30 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.87/1.30 , Z, T ) ) ],
% 0.87/1.30 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.87/1.30 , U ), U ) ],
% 0.87/1.30 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.87/1.30 , U ), U ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.30 Y, Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.87/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.87/1.30 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.87/1.30 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.87/1.30 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ), ~(
% 0.87/1.30 'c_Relation_Osym'( Y, X ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.87/1.30 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.87/1.30 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( Y, X ) ), X ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.30 hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ) ) ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X, hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Z, Z ), Y ), Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( X, hAPP( 'c_Relation_Oconverse'( Y, Y ), Z ),
% 0.87/1.30 Y ), ~( 'c_Relation_Orefl__on'( X, Z, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.87/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.87/1.30 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.30 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.87/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.87/1.30 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ), ~(
% 0.87/1.30 'c_Relation_Osym'( Y, X ) ) ],
% 0.87/1.30 [ ~( =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ) ),
% 0.87/1.30 'c_Relation_Osym'( Y, X ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.87/1.30 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), 'c_Relation_Orel__comp'( Z, T
% 0.87/1.30 , X, U, Y ) ), 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( U,
% 0.87/1.30 Y ), T ), hAPP( 'c_Relation_Oconverse'( X, U ), Z ), Y, U, X ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.87/1.30 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 X, Y ), X, Y, Y, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.87/1.30 'c_Relation_Osym'( X, Z ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ),
% 0.87/1.30 ~( 'c_Relation_Otrans'( Y, X ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId'( X ) ),
% 0.87/1.30 'c_Relation_OId'( X ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.87/1.30 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.87/1.30 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_Oinv__image'( Y,
% 0.87/1.30 Z, T, X ) ), 'c_Relation_Oinv__image'( hAPP( 'c_Relation_Oconverse'( T, T
% 0.87/1.30 ), Y ), Z, T, X ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'( hAPP( 'c_Relation_Oconverse'( X, X
% 0.87/1.30 ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.87/1.30 'c_Relation_Otrans'( X, Z ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId__on'( Y, X )
% 0.87/1.30 ), 'c_Relation_OId__on'( Y, X ) ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( X, X ), Y
% 0.87/1.30 ), Y, X, X, X ), Y ) ), 'c_Equiv__Relations_Oequiv'(
% 0.87/1.30 'c_Relation_ODomain'( Y, X, X ), Y, X ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), Y,
% 0.87/1.30 X ), 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.87/1.30 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.87/1.30 ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.87/1.30 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.87/1.30 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), hAPP( 'c_Relation_Oconverse'(
% 0.87/1.30 Y, X ), Z ) ), Z ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( X, X ), Y )
% 0.87/1.30 , Y, X, X, X ), Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, Y, X ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X )
% 0.87/1.30 , ~( 'c_Relation_Oantisym'( Y, X ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.87/1.30 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.87/1.30 Y, Z ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( X,
% 0.87/1.30 X ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.87/1.30 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.87/1.30 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.87/1.30 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.87/1.30 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.87/1.30 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ODomain'( hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), Y
% 0.87/1.30 , X ), 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.87/1.30 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'( hAPP(
% 0.87/1.30 'c_Relation_Oconverse'( Y, Z ), X ), Z, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.87/1.30 hAPP( 'c_Relation_Oconverse'( Z, Z ), Y ), Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( X, hAPP( 'c_Relation_Oconverse'( Y, Y ), Z )
% 0.87/1.30 , Y ), ~( 'c_Relation_Ototal__on'( X, Z, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.87/1.30 ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.87/1.30 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.87/1.30 , T ), T ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.87/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.87/1.30 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.87/1.30 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.87/1.30 't_a' ), 't_a' ) ) ],
% 0.87/1.30 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.87/1.30 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.30 T, Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.87/1.30 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.87/1.30 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.87/1.30 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.87/1.30 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.87/1.30 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.87/1.30 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.87/1.30 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.87/1.30 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.87/1.30 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.87/1.30 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.87/1.30 ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.87/1.30 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.87/1.30 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.87/1.30 't_a' ), 't_a' ) ) ],
% 0.87/1.30 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.87/1.30 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 0.87/1.30 V0, 'tc_prod'( T, U ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.87/1.30 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.87/1.30 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.87/1.30 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.87/1.30 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.87/1.30 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.87/1.30 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.87/1.30 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.87/1.30 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.87/1.30 Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.87/1.30 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.87/1.30 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.87/1.30 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.87/1.30 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.87/1.30 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.30 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.87/1.30 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.87/1.30 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.87/1.30 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.87/1.30 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.87/1.30 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U
% 0.87/1.30 ), X, 'tc_prod'( T, U ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~(
% 0.87/1.30 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.87/1.30 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.87/1.30 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP( 'c_Relation_Oconverse'( T, Z ),
% 0.87/1.30 U ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'(
% 0.87/1.30 T, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP( 'c_Relation_Oconverse'( T, Z ),
% 0.87/1.30 U ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'(
% 0.87/1.30 T, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( Y, X, T, Z ), hAPP( 'c_Relation_Oconverse'( Z, T ), U ),
% 0.87/1.30 'tc_prod'( T, Z ) ) ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.87/1.30 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.87/1.30 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.87/1.30 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.87/1.30 Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.87/1.30 , 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.87/1.30 ), 'tc_prod'( Y, Y ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.87/1.30 ), 'tc_prod'( Y, Y ) ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.30 T, Z ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.87/1.30 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.87/1.30 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.87/1.30 ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.87/1.30 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.87/1.30 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.87/1.30 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.87/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.87/1.30 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.87/1.30 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.87/1.30 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.87/1.30 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.87/1.30 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.87/1.30 , Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.87/1.30 , Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.87/1.30 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.87/1.30 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.87/1.30 Z, V0 ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.87/1.30 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.87/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.87/1.30 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.87/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.87/1.30 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.87/1.30 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.30 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.30 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.87/1.30 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.30 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.30 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.30 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.87/1.30 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.87/1.30 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.87/1.30 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.87/1.30 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 , =( X, Y ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.87/1.30 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.87/1.30 , Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.87/1.30 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.87/1.30 , Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.87/1.30 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.87/1.30 Y, Z ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.87/1.30 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.87/1.30 Y, Z ), Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.87/1.30 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.87/1.30 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.87/1.30 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.87/1.30 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.87/1.30 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.87/1.30 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.87/1.30 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.87/1.30 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.87/1.30 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.87/1.30 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.87/1.30 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.87/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 0.87/1.30 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.87/1.30 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.87/1.30 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.87/1.30 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.87/1.30 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.87/1.30 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.87/1.30 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.87/1.30 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P_H____', X ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.87/1.30 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ ~( =( 'v_b____', 'v_c____' ) ) ],
% 0.87/1.30 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.87/1.30 [ ~( =( 'v_a____', 'v_c____' ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_F'( 'v_P____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.87/1.30 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'c_Fun_Ocomp'(
% 0.87/1.30 'c_Relation_Oconverse'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ),
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oindi' ) ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_F'( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ) ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_F'( 'v_P____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_F'( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ) ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 , ~( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_F'( 'v_P_H____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_F'( 'v_P_H____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.87/1.30 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'c_Fun_Ocomp'(
% 0.87/1.30 'c_Relation_Oconverse'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ),
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oindi' ) ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ ~( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_F'( 'v_P_H____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.87/1.30 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P____' ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.30 'v_F'( 'v_P____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( 'v_b____',
% 0.87/1.30 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P_H____' ), 'tc_prod'(
% 0.87/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.30 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.87/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.30 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.87/1.30 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.30 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.30 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.30 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.30 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.30 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.87/1.30 Y ) ) ],
% 0.87/1.30 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.87/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.87/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.30 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.30 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.30 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.30 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.30 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.30 [ 'c_fequal'( X, X, Y ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.87/1.30 ] .
% 0.87/1.30
% 0.87/1.30
% 0.87/1.30 percentage equality = 0.229242, percentage horn = 0.909091
% 0.87/1.30 This is a problem with some equality
% 0.87/1.30
% 0.87/1.30
% 0.87/1.30
% 0.87/1.30 Options Used:
% 0.87/1.30
% 0.87/1.30 useres = 1
% 0.87/1.30 useparamod = 1
% 0.87/1.30 useeqrefl = 1
% 0.87/1.30 useeqfact = 1
% 0.87/1.30 usefactor = 1
% 0.87/1.30 usesimpsplitting = 0
% 0.87/1.30 usesimpdemod = 5
% 0.87/1.30 usesimpres = 3
% 0.87/1.30
% 0.87/1.30 resimpinuse = 1000
% 0.87/1.30 resimpclauses = 20000
% 0.87/1.30 substype = eqrewr
% 0.87/1.30 backwardsubs = 1
% 0.87/1.30 selectoldest = 5
% 0.87/1.30
% 0.87/1.30 litorderings [0] = split
% 0.87/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.30
% 0.87/1.30 termordering = kbo
% 0.87/1.30
% 0.87/1.30 litapriori = 0
% 0.87/1.30 termapriori = 1
% 0.87/1.30 litaposteriori = 0
% 0.87/1.30 termaposteriori = 0
% 0.87/1.30 demodaposteriori = 0
% 0.87/1.30 ordereqreflfact = 0
% 0.87/1.30
% 0.87/1.30 litselect = negord
% 0.87/1.30
% 0.87/1.30 maxweight = 15
% 0.87/1.30 maxdepth = 30000
% 0.87/1.30 maxlength = 115
% 0.87/1.30 maxnrvars = 195
% 0.87/1.30 excuselevel = 1
% 0.87/1.30 increasemaxweight = 1
% 0.87/1.30
% 0.87/1.30 maxselected = 10000000
% 0.87/1.30 maxnrclauses = 10000000
% 0.87/1.30
% 0.87/1.30 showgenerated = 0
% 0.87/1.30 showkept = 0
% 0.87/1.30 showselected = 0
% 0.87/1.30 showdeleted = 0
% 0.87/1.30 showresimp = 1
% 0.87/1.30 showstatus = 2000
% 0.87/1.30
% 0.87/1.30 prologoutput = 1
% 0.87/1.30 nrgoals = 5000000
% 0.87/1.30 totalproof = 1
% 0.87/1.30
% 0.87/1.30 Symbols occurring in the translation:
% 0.87/1.30
% 0.87/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.66/2.04 . [1, 2] (w:1, o:93, a:1, s:1, b:0),
% 1.66/2.04 ! [4, 1] (w:0, o:72, a:1, s:1, b:0),
% 1.66/2.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.66/2.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.66/2.04 'class_Lattices_Oupper__semilattice' [40, 1] (w:1, o:77, a:1, s:1, b:
% 1.66/2.04 0),
% 1.66/2.04 'c_Lattices_Oupper__semilattice__class_Osup' [44, 3] (w:1, o:140, a:1
% 1.66/2.04 , s:1, b:0),
% 1.66/2.04 'tc_bool' [47, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.66/2.04 'tc_fun' [48, 2] (w:1, o:118, a:1, s:1, b:0),
% 1.66/2.04 'c_Set_Oimage' [52, 4] (w:1, o:163, a:1, s:1, b:0),
% 1.66/2.04 'c_HOL_Ominus__class_Ominus' [53, 3] (w:1, o:141, a:1, s:1, b:0),
% 1.66/2.04 'c_lessequals' [54, 3] (w:1, o:142, a:1, s:1, b:0),
% 1.66/2.04 'c_Orderings_Obot__class_Obot' [55, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.66/2.04 'class_OrderedGroup_Oab__group__add' [56, 1] (w:1, o:79, a:1, s:1, b:
% 1.66/2.04 0),
% 1.66/2.04 'c_Set_Oinsert' [60, 3] (w:1, o:148, a:1, s:1, b:0),
% 1.66/2.04 'c_COMBK' [62, 3] (w:1, o:149, a:1, s:1, b:0),
% 1.66/2.04 hAPP [64, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_OImage' [66, 4] (w:1, o:161, a:1, s:1, b:0),
% 1.66/2.04 'tc_prod' [68, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.66/2.04 'class_Lattices_Odistrib__lattice' [69, 1] (w:1, o:80, a:1, s:1, b:0)
% 1.66/2.04 ,
% 1.66/2.04 'c_Lattices_Olower__semilattice__class_Oinf' [70, 3] (w:1, o:150, a:1
% 1.66/2.04 , s:1, b:0),
% 1.66/2.04 'c_Relation_ODomain' [71, 3] (w:1, o:143, a:1, s:1, b:0),
% 1.66/2.04 'c_in' [74, 3] (w:1, o:151, a:1, s:1, b:0),
% 1.66/2.04 'c_Product__Type_OSigma' [77, 4] (w:1, o:164, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_ORange' [79, 3] (w:1, o:144, a:1, s:1, b:0),
% 1.66/2.04 'c_Transitive__Closure_Ortrancl' [80, 2] (w:1, o:121, a:1, s:1, b:0)
% 1.66/2.04 ,
% 1.66/2.04 'class_Orderings_Obot' [81, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Osym' [84, 2] (w:1, o:122, a:1, s:1, b:0),
% 1.66/2.04 'class_Lattices_Obounded__lattice' [85, 1] (w:1, o:82, a:1, s:1, b:0)
% 1.66/2.04 ,
% 1.66/2.04 hBOOL [86, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.66/2.04 'c_Wellfounded_Owf' [87, 2] (w:1, o:123, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Orefl__on' [88, 3] (w:1, o:145, a:1, s:1, b:0),
% 1.66/2.04 'class_Lattices_Olattice' [89, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.66/2.04 'class_Lattices_Olower__semilattice' [90, 1] (w:1, o:85, a:1, s:1, b:
% 1.66/2.04 0),
% 1.66/2.04 'c_Pair' [91, 4] (w:1, o:165, a:1, s:1, b:0),
% 1.66/2.04 'c_Wellfounded_Oacyclic' [93, 2] (w:1, o:124, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Oconverse' [94, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Ototal__on' [95, 3] (w:1, o:147, a:1, s:1, b:0),
% 1.66/2.04 'c_Order__Relation_Ostrict__linear__order__on' [96, 3] (w:1, o:152
% 1.66/2.04 , a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Orel__comp' [99, 5] (w:1, o:174, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_OId' [100, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Oirrefl' [101, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.66/2.04 'c_Transitive__Closure_Otrancl' [102, 2] (w:1, o:127, a:1, s:1, b:0)
% 1.66/2.04 ,
% 1.66/2.04 'c_Equiv__Relations_Oequiv' [103, 3] (w:1, o:153, a:1, s:1, b:0),
% 1.66/2.04 'c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1' [104, 5] (w:1
% 1.66/2.04 , o:175, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Otrans' [105, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.66/2.04 'class_OrderedGroup_Opordered__ab__group__add' [108, 1] (w:1, o:87
% 1.66/2.04 , a:1, s:1, b:0),
% 1.66/2.04 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [109, 5] (w:1, o:176
% 1.66/2.04 , a:1, s:1, b:0),
% 1.66/2.04 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [110, 3]
% 1.66/2.04 (w:1, o:154, a:1, s:1, b:0),
% 1.66/2.04 'c_Wellfounded_Oacc' [111, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.66/2.04 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [112, 3] (w:
% 1.66/2.04 1, o:155, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Oantisym' [113, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_OId__on' [114, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.66/2.04 'v_r' [115, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.66/2.04 't_a' [116, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.66/2.04 't_b' [117, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.66/2.04 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [118, 2] (w:1, o:
% 1.66/2.04 132, a:1, s:1, b:0),
% 1.66/2.04 'c_Relation_Osingle__valued' [119, 3] (w:1, o:146, a:1, s:1, b:0),
% 1.66/2.04 'c_Nitpick_Orefl_H' [120, 2] (w:1, o:133, a:1, s:1, b:0),
% 1.66/2.04 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [121, 2] (w:1, o:134
% 9.42/9.80 , a:1, s:1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [122, 4]
% 9.42/9.80 (w:1, o:166, a:1, s:1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [123, 4]
% 9.42/9.80 (w:1, o:167, a:1, s:1, b:0),
% 9.42/9.80 'class_Orderings_Olinorder' [125, 1] (w:1, o:88, a:1, s:1, b:0),
% 9.42/9.80 'class_Orderings_Opreorder' [127, 1] (w:1, o:90, a:1, s:1, b:0),
% 9.42/9.80 'class_Orderings_Oorder' [128, 1] (w:1, o:89, a:1, s:1, b:0),
% 9.42/9.80 'class_HOL_Oord' [132, 1] (w:1, o:91, a:1, s:1, b:0),
% 9.42/9.80 'c_split' [135, 4] (w:1, o:168, a:1, s:1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [137, 3] (w:1
% 9.42/9.80 , o:156, a:1, s:1, b:0),
% 9.42/9.80 'v_sko__Wellfounded__Xacc__Xinducts__1' [138, 2] (w:1, o:135, a:1, s:
% 9.42/9.80 1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [139, 5] (w:1, o:
% 9.42/9.80 177, a:1, s:1, b:0),
% 9.42/9.80 'c_Relation_Oinv__image' [140, 4] (w:1, o:162, a:1, s:1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [142, 3]
% 9.42/9.80 (w:1, o:157, a:1, s:1, b:0),
% 9.42/9.80 'v_sko__Wellfounded__Xacc__Xinduct__1' [143, 2] (w:1, o:136, a:1, s:1
% 9.42/9.80 , b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [144, 3] (w:1, o:
% 9.42/9.80 158, a:1, s:1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [145, 3] (w:1
% 9.42/9.80 , o:159, a:1, s:1, b:0),
% 9.42/9.80 'c_Equiv__Relations_Ocongruent' [147, 4] (w:1, o:169, a:1, s:1, b:0)
% 9.42/9.80 ,
% 9.42/9.80 'c_Equiv__Relations_Ocongruent2' [149, 6] (w:1, o:181, a:1, s:1, b:0)
% 9.42/9.80 ,
% 9.42/9.80 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [150, 4] (w:1, o:170
% 9.42/9.80 , a:1, s:1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [152, 4] (w:1, o:171
% 9.42/9.80 , a:1, s:1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [153, 4] (w:1, o:
% 9.42/9.80 172, a:1, s:1, b:0),
% 9.42/9.80 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [154, 4] (w:1, o:
% 9.42/9.80 173, a:1, s:1, b:0),
% 9.42/9.80 'c_Recdef_Ocut' [159, 5] (w:1, o:178, a:1, s:1, b:0),
% 9.42/9.80 'c_FunDef_Oin__rel' [160, 5] (w:1, o:179, a:1, s:1, b:0),
% 9.42/9.80 'tc_Arrow__Order__Mirabelle_Oalt' [161, 0] (w:1, o:59, a:1, s:1, b:0)
% 9.42/9.80 ,
% 9.42/9.80 'c_Arrow__Order__Mirabelle_Omktop' [163, 2] (w:1, o:137, a:1, s:1, b:
% 9.42/9.80 0),
% 9.42/9.80 'c_Arrow__Order__Mirabelle_Omkbot' [164, 2] (w:1, o:138, a:1, s:1, b:
% 9.42/9.80 0),
% 9.42/9.80 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [165, 2] (w:1, o:
% 9.42/9.80 139, a:1, s:1, b:0),
% 9.42/9.80 'v_a____' [166, 0] (w:1, o:61, a:1, s:1, b:0),
% 9.42/9.80 'v_b____' [167, 0] (w:1, o:62, a:1, s:1, b:0),
% 9.42/9.80 'v_P____' [170, 0] (w:1, o:63, a:1, s:1, b:0),
% 9.42/9.80 'v_c____' [172, 0] (w:1, o:65, a:1, s:1, b:0),
% 9.42/9.80 'v_P_H____' [173, 0] (w:1, o:66, a:1, s:1, b:0),
% 9.42/9.80 'v_F' [174, 1] (w:1, o:92, a:1, s:1, b:0),
% 9.42/9.80 'tc_Arrow__Order__Mirabelle_Oindi' [175, 0] (w:1, o:67, a:1, s:1, b:0
% 9.42/9.80 ),
% 9.42/9.80 'c_Fun_Ocomp' [176, 5] (w:1, o:180, a:1, s:1, b:0),
% 9.42/9.80 'c_fequal' [179, 3] (w:1, o:160, a:1, s:1, b:0).
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Starting Search:
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Intermediate Status:
% 9.42/9.80 Generated: 5002
% 9.42/9.80 Kept: 2129
% 9.42/9.80 Inuse: 141
% 9.42/9.80 Deleted: 5
% 9.42/9.80 Deletedinuse: 0
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Intermediate Status:
% 9.42/9.80 Generated: 13225
% 9.42/9.80 Kept: 4137
% 9.42/9.80 Inuse: 320
% 9.42/9.80 Deleted: 35
% 9.42/9.80 Deletedinuse: 2
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Intermediate Status:
% 9.42/9.80 Generated: 23033
% 9.42/9.80 Kept: 6158
% 9.42/9.80 Inuse: 443
% 9.42/9.80 Deleted: 41
% 9.42/9.80 Deletedinuse: 5
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Intermediate Status:
% 9.42/9.80 Generated: 31573
% 9.42/9.80 Kept: 8482
% 9.42/9.80 Inuse: 479
% 9.42/9.80 Deleted: 44
% 9.42/9.80 Deletedinuse: 7
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Intermediate Status:
% 9.42/9.80 Generated: 40679
% 9.42/9.80 Kept: 10485
% 9.42/9.80 Inuse: 551
% 9.42/9.80 Deleted: 44
% 9.42/9.80 Deletedinuse: 7
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Intermediate Status:
% 9.42/9.80 Generated: 49426
% 9.42/9.80 Kept: 12485
% 9.42/9.80 Inuse: 668
% 9.42/9.80 Deleted: 54
% 9.42/9.80 Deletedinuse: 13
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Intermediate Status:
% 9.42/9.80 Generated: 56487
% 9.42/9.80 Kept: 14544
% 9.42/9.80 Inuse: 725
% 9.42/9.80 Deleted: 59
% 9.42/9.80 Deletedinuse: 18
% 9.42/9.80
% 9.42/9.80 Resimplifying inuse:
% 9.42/9.80 Done
% 9.42/9.80
% 9.42/9.80
% 9.42/9.80 Intermediate Status:
% 9.42/9.80 Generated: 82511
% 9.42/9.80 Kept: 16595
% 64.57/65.03 Inuse: 770
% 64.57/65.03 Deleted: 62
% 64.57/65.03 Deletedinuse: 21
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 105372
% 64.57/65.03 Kept: 19595
% 64.57/65.03 Inuse: 807
% 64.57/65.03 Deleted: 68
% 64.57/65.03 Deletedinuse: 24
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 124823
% 64.57/65.03 Kept: 21974
% 64.57/65.03 Inuse: 812
% 64.57/65.03 Deleted: 68
% 64.57/65.03 Deletedinuse: 24
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying clauses:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 142093
% 64.57/65.03 Kept: 23974
% 64.57/65.03 Inuse: 866
% 64.57/65.03 Deleted: 381
% 64.57/65.03 Deletedinuse: 25
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 157673
% 64.57/65.03 Kept: 25982
% 64.57/65.03 Inuse: 923
% 64.57/65.03 Deleted: 381
% 64.57/65.03 Deletedinuse: 25
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 171929
% 64.57/65.03 Kept: 27984
% 64.57/65.03 Inuse: 943
% 64.57/65.03 Deleted: 382
% 64.57/65.03 Deletedinuse: 26
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 193389
% 64.57/65.03 Kept: 29997
% 64.57/65.03 Inuse: 971
% 64.57/65.03 Deleted: 386
% 64.57/65.03 Deletedinuse: 28
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 209203
% 64.57/65.03 Kept: 32041
% 64.57/65.03 Inuse: 1026
% 64.57/65.03 Deleted: 396
% 64.57/65.03 Deletedinuse: 29
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 220309
% 64.57/65.03 Kept: 34045
% 64.57/65.03 Inuse: 1081
% 64.57/65.03 Deleted: 396
% 64.57/65.03 Deletedinuse: 29
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 234452
% 64.57/65.03 Kept: 36065
% 64.57/65.03 Inuse: 1131
% 64.57/65.03 Deleted: 400
% 64.57/65.03 Deletedinuse: 33
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 243550
% 64.57/65.03 Kept: 38091
% 64.57/65.03 Inuse: 1164
% 64.57/65.03 Deleted: 402
% 64.57/65.03 Deletedinuse: 33
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 254583
% 64.57/65.03 Kept: 40099
% 64.57/65.03 Inuse: 1169
% 64.57/65.03 Deleted: 403
% 64.57/65.03 Deletedinuse: 34
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying clauses:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 264473
% 64.57/65.03 Kept: 42168
% 64.57/65.03 Inuse: 1214
% 64.57/65.03 Deleted: 893
% 64.57/65.03 Deletedinuse: 34
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 276325
% 64.57/65.03 Kept: 44246
% 64.57/65.03 Inuse: 1259
% 64.57/65.03 Deleted: 893
% 64.57/65.03 Deletedinuse: 34
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 294813
% 64.57/65.03 Kept: 46609
% 64.57/65.03 Inuse: 1299
% 64.57/65.03 Deleted: 903
% 64.57/65.03 Deletedinuse: 44
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 322094
% 64.57/65.03 Kept: 50545
% 64.57/65.03 Inuse: 1319
% 64.57/65.03 Deleted: 903
% 64.57/65.03 Deletedinuse: 44
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 335451
% 64.57/65.03 Kept: 52546
% 64.57/65.03 Inuse: 1361
% 64.57/65.03 Deleted: 903
% 64.57/65.03 Deletedinuse: 44
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 351146
% 64.57/65.03 Kept: 55484
% 64.57/65.03 Inuse: 1387
% 64.57/65.03 Deleted: 906
% 64.57/65.03 Deletedinuse: 45
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 368250
% 64.57/65.03 Kept: 57547
% 64.57/65.03 Inuse: 1407
% 64.57/65.03 Deleted: 907
% 64.57/65.03 Deletedinuse: 46
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 387150
% 64.57/65.03 Kept: 60977
% 64.57/65.03 Inuse: 1430
% 64.57/65.03 Deleted: 910
% 64.57/65.03 Deletedinuse: 47
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying clauses:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 403623
% 64.57/65.03 Kept: 62983
% 64.57/65.03 Inuse: 1480
% 64.57/65.03 Deleted: 1244
% 64.57/65.03 Deletedinuse: 54
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 473758
% 64.57/65.03 Kept: 65045
% 64.57/65.03 Inuse: 1529
% 64.57/65.03 Deleted: 1244
% 64.57/65.03 Deletedinuse: 54
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 493943
% 64.57/65.03 Kept: 67162
% 64.57/65.03 Inuse: 1607
% 64.57/65.03 Deleted: 1246
% 64.57/65.03 Deletedinuse: 56
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 530241
% 64.57/65.03 Kept: 69177
% 64.57/65.03 Inuse: 1626
% 64.57/65.03 Deleted: 1248
% 64.57/65.03 Deletedinuse: 58
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03 Resimplifying inuse:
% 64.57/65.03 Done
% 64.57/65.03
% 64.57/65.03
% 64.57/65.03 Intermediate Status:
% 64.57/65.03 Generated: 546530
% 64.57/65.03 Kept: 71324
% 64.57/65.03 Inuse: 1654
% 175.85/176.42 Deleted: 1249
% 175.85/176.42 Deletedinuse: 59
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 573395
% 175.85/176.42 Kept: 75342
% 175.85/176.42 Inuse: 1679
% 175.85/176.42 Deleted: 1250
% 175.85/176.42 Deletedinuse: 60
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 597048
% 175.85/176.42 Kept: 77670
% 175.85/176.42 Inuse: 1694
% 175.85/176.42 Deleted: 1250
% 175.85/176.42 Deletedinuse: 60
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 608337
% 175.85/176.42 Kept: 79683
% 175.85/176.42 Inuse: 1732
% 175.85/176.42 Deleted: 1254
% 175.85/176.42 Deletedinuse: 63
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 618405
% 175.85/176.42 Kept: 81711
% 175.85/176.42 Inuse: 1762
% 175.85/176.42 Deleted: 1256
% 175.85/176.42 Deletedinuse: 64
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying clauses:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 636734
% 175.85/176.42 Kept: 83723
% 175.85/176.42 Inuse: 1775
% 175.85/176.42 Deleted: 2311
% 175.85/176.42 Deletedinuse: 65
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 650676
% 175.85/176.42 Kept: 86399
% 175.85/176.42 Inuse: 1777
% 175.85/176.42 Deleted: 2311
% 175.85/176.42 Deletedinuse: 65
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 667789
% 175.85/176.42 Kept: 89618
% 175.85/176.42 Inuse: 1787
% 175.85/176.42 Deleted: 2312
% 175.85/176.42 Deletedinuse: 66
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 677031
% 175.85/176.42 Kept: 91636
% 175.85/176.42 Inuse: 1820
% 175.85/176.42 Deleted: 2316
% 175.85/176.42 Deletedinuse: 70
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 722337
% 175.85/176.42 Kept: 97846
% 175.85/176.42 Inuse: 1832
% 175.85/176.42 Deleted: 2317
% 175.85/176.42 Deletedinuse: 71
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 766695
% 175.85/176.42 Kept: 103521
% 175.85/176.42 Inuse: 1837
% 175.85/176.42 Deleted: 2318
% 175.85/176.42 Deletedinuse: 72
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying clauses:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 787143
% 175.85/176.42 Kept: 106820
% 175.85/176.42 Inuse: 1847
% 175.85/176.42 Deleted: 2417
% 175.85/176.42 Deletedinuse: 73
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 834875
% 175.85/176.42 Kept: 112874
% 175.85/176.42 Inuse: 1857
% 175.85/176.42 Deleted: 2421
% 175.85/176.42 Deletedinuse: 77
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 881720
% 175.85/176.42 Kept: 118590
% 175.85/176.42 Inuse: 1862
% 175.85/176.42 Deleted: 2425
% 175.85/176.42 Deletedinuse: 81
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 898380
% 175.85/176.42 Kept: 121558
% 175.85/176.42 Inuse: 1867
% 175.85/176.42 Deleted: 2425
% 175.85/176.42 Deletedinuse: 81
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 912678
% 175.85/176.42 Kept: 125362
% 175.85/176.42 Inuse: 1868
% 175.85/176.42 Deleted: 2427
% 175.85/176.42 Deletedinuse: 83
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying clauses:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 930709
% 175.85/176.42 Kept: 128514
% 175.85/176.42 Inuse: 1871
% 175.85/176.42 Deleted: 3659
% 175.85/176.42 Deletedinuse: 83
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 946434
% 175.85/176.42 Kept: 131498
% 175.85/176.42 Inuse: 1874
% 175.85/176.42 Deleted: 3665
% 175.85/176.42 Deletedinuse: 87
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 952320
% 175.85/176.42 Kept: 133515
% 175.85/176.42 Inuse: 1883
% 175.85/176.42 Deleted: 3687
% 175.85/176.42 Deletedinuse: 88
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 976506
% 175.85/176.42 Kept: 136718
% 175.85/176.42 Inuse: 1893
% 175.85/176.42 Deleted: 3711
% 175.85/176.42 Deletedinuse: 92
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 994699
% 175.85/176.42 Kept: 139235
% 175.85/176.42 Inuse: 1900
% 175.85/176.42 Deleted: 3725
% 175.85/176.42 Deletedinuse: 93
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 1013919
% 175.85/176.42 Kept: 141625
% 175.85/176.42 Inuse: 1907
% 175.85/176.42 Deleted: 3728
% 175.85/176.42 Deletedinuse: 93
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 1025588
% 175.85/176.42 Kept: 144378
% 175.85/176.42 Inuse: 1916
% 175.85/176.42 Deleted: 3735
% 175.85/176.42 Deletedinuse: 94
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying clauses:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 1127669
% 175.85/176.42 Kept: 146420
% 175.85/176.42 Inuse: 1961
% 175.85/176.42 Deleted: 7605
% 175.85/176.42 Deletedinuse: 96
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 1262468
% 175.85/176.42 Kept: 151335
% 175.85/176.42 Inuse: 2040
% 175.85/176.42 Deleted: 7610
% 175.85/176.42 Deletedinuse: 100
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42 Resimplifying inuse:
% 175.85/176.42 Done
% 175.85/176.42
% 175.85/176.42
% 175.85/176.42 Intermediate Status:
% 175.85/176.42 Generated: 1539147
% 175.85/176.42 Kept: 153343
% 175.85/176.42 Inuse: 2235
% 175.85/176.42 Deleted: 7861
% 175.85/176.42 DeletediCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------