TSTP Solution File: SCT047-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT047-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:48 EDT 2022
% Result : Timeout 300.07s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT047-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.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 07:02:10 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.92/1.32 *** allocated 10000 integers for termspace/termends
% 0.92/1.32 *** allocated 10000 integers for clauses
% 0.92/1.32 *** allocated 10000 integers for justifications
% 0.92/1.32 *** allocated 15000 integers for termspace/termends
% 0.92/1.32 *** allocated 22500 integers for termspace/termends
% 0.92/1.32 Bliksem 1.12
% 0.92/1.32
% 0.92/1.32
% 0.92/1.32 Automatic Strategy Selection
% 0.92/1.32
% 0.92/1.32 Clauses:
% 0.92/1.32 [
% 0.92/1.32 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.92/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.92/1.32 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.92/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 X ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.92/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.92/1.32 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.92/1.32 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.92/1.32 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.92/1.32 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.92/1.32 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.92/1.32 , Z, T ), Z ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.92/1.32 X, T ), Y ) ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.92/1.32 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.92/1.32 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.92/1.32 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.32 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.92/1.32 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.32 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.92/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.92/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z ) ) ],
% 0.92/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.32 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.92/1.32 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.92/1.32 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.92/1.32 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.92/1.32 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.92/1.32 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.92/1.32 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.92/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.92/1.32 'c_in'( W, Y, Z ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.92/1.32 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.92/1.32 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.92/1.32 ~( 'c_in'( W, T, U ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.32 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.32 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.92/1.32 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.92/1.32 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.92/1.32 ) ) ) ],
% 0.92/1.32 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.92/1.32 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.92/1.32 ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.92/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.92/1.32 'c_in'( U, T, Z ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.92/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.32 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.32 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.92/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.92/1.32 ) ],
% 0.92/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.92/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_List_Oset'( 'c_List_Olist_ONil'( X ), X ),
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.92/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.32 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.32 , X ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.92/1.32 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.92/1.32 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.92/1.32 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.92/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.92/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.92/1.32 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.92/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.92/1.32 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.92/1.32 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.92/1.32 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), X ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.92/1.32 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.92/1.32 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.92/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.92/1.32 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.92/1.32 ,
% 0.92/1.32 [ =( 'c_Relation_OImage'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.92/1.32 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.32 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.92/1.32 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.92/1.32 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.92/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.92/1.32 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.92/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.92/1.32 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.92/1.32 , ~( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'(
% 0.92/1.32 T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z
% 0.92/1.32 , Y ) ) ],
% 0.92/1.32 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.92/1.32 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.92/1.32 ), ~( 'c_in'( T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~(
% 0.92/1.32 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), 'c_in'( 'c_Pair'( X, T, Y, Y )
% 0.92/1.32 , Z, 'tc_prod'( Y, Y ) ) ],
% 0.92/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.92/1.32 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.92/1.32 Z, T ), 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.32 , T, X ) ) ), =( Y, Z ) ],
% 0.92/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.92/1.32 , T, X ) ) ), =( Z, T ) ],
% 0.92/1.32 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.32 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ) ) ],
% 0.92/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.92/1.32 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.32 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.32 ],
% 0.92/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.97/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.97/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.97/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.32 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.97/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.97/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.32 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.32 ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.97/1.32 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.32 'c_List_Oset'( Y, X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.97/1.32 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.32 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.97/1.32 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.97/1.32 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.97/1.32 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.97/1.32 ],
% 0.97/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.97/1.32 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.97/1.32 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.97/1.32 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.97/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.97/1.32 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.97/1.32 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.97/1.32 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.97/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.97/1.32 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.97/1.32 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.97/1.32 X, 'tc_bool' ) ), Y ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.97/1.32 'tc_bool' ) ), X ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.97/1.32 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.97/1.32 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.97/1.32 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.97/1.32 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.97/1.32 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.97/1.32 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.97/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.32 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.97/1.32 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.97/1.32 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.32 ) ), Y ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.97/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.97/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.97/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.97/1.32 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.32 ) ) ],
% 0.97/1.32 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.97/1.32 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_in'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.32 'c_Equiv__Relations_Oquotient'( T, X, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 ~( 'c_in'( Y, T, Z ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.97/1.32 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.97/1.32 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.97/1.32 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.97/1.32 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.97/1.32 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.97/1.32 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.97/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.97/1.32 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.97/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.97/1.32 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.97/1.32 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.97/1.32 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.97/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.97/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.97/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.32 ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.32 ],
% 0.97/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.32 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.32 ],
% 0.97/1.32 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.97/1.32 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.97/1.32 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.32 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.97/1.32 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.97/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.97/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.97/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.97/1.32 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.97/1.32 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.32 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.97/1.32 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.97/1.32 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.32 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.32 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.32 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.32 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_List_Oset'( X, Y ), 'c_List_Oset'(
% 0.97/1.32 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.32 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.97/1.32 ), 'tc_bool' ) ), X ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.97/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.97/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.97/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.97/1.32 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.97/1.32 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.32 'tc_bool' ) ), Y, X ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.32 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Relation_Oconverse'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.97/1.32 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.97/1.32 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.97/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.97/1.32 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.97/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.97/1.32 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.97/1.32 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.97/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.97/1.32 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.97/1.32 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.97/1.32 , T, Z ) ) ],
% 0.97/1.32 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.97/1.32 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.97/1.32 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.97/1.32 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.97/1.32 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.97/1.32 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.97/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.97/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.97/1.32 , Z ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.97/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.97/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.32 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.97/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.97/1.32 Y, Z ) ) ],
% 0.97/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.97/1.32 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.32 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.97/1.32 X, X ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.97/1.32 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.32 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.97/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.97/1.32 ) ) ],
% 0.97/1.32 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.97/1.32 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.97/1.32 , T ) ],
% 0.97/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.97/1.32 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.97/1.32 ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.97/1.32 , T ) ],
% 0.97/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.97/1.32 , Z ) ],
% 0.97/1.32 [ =( 'c_Relation_Oconverse'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.97/1.32 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.97/1.32 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.97/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.97/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.97/1.32 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.97/1.32 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.97/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.32 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.32 ) ],
% 0.97/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.32 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.32 ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Relation_Orel__comp'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.97/1.32 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.97/1.32 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Relation_Orel__comp'( X,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.97/1.32 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.97/1.32 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 Z, T, X ), X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 T, Z, X ), X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.97/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.97/1.32 'c_lessequals'( Z, T, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 Z, T, X ), X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 T, Z, X ), X ) ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.97/1.32 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.97/1.32 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.32 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.32 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.97/1.32 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.97/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.32 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.97/1.32 ) ), Z, X ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.97/1.32 ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.97/1.32 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 T, 'tc_bool' ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.97/1.32 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.97/1.32 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.32 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.32 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.97/1.32 'c_in'( X, T, Z ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.97/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.97/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.32 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.97/1.32 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.97/1.32 Z, T ), T ) ) ],
% 0.97/1.32 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.97/1.32 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.97/1.32 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.97/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.97/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.97/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.97/1.32 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.97/1.32 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.97/1.32 U, W ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.97/1.32 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.97/1.32 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.97/1.32 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.97/1.32 , T ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.97/1.32 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.97/1.32 , T ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.32 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.97/1.32 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.97/1.32 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.97/1.32 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.32 ), Y ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.32 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.32 ), Y ) ) ],
% 0.97/1.32 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.32 ), Y ) ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.97/1.32 , Z ) ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Z ) ) ],
% 0.97/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.32 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Z ) ) ],
% 0.97/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Z ) ) ],
% 0.97/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.97/1.32 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.97/1.32 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.97/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.97/1.32 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.97/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.97/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.97/1.32 , U ), U ) ],
% 0.97/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.97/1.32 , U ), U ) ],
% 0.97/1.32 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.97/1.32 , Z, T ) ) ],
% 0.97/1.32 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.97/1.32 , Z, T ) ) ],
% 0.97/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.97/1.32 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, U, W, T ), Y ), Z, T, W ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.97/1.32 'tc_bool' ) ), X ) ],
% 0.97/1.32 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.32 'c_List_Oset'( 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.97/1.32 Y, X ), Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.32 T, X ), Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.97/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.97/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.97/1.32 Y, X ), Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.32 T, X ), Z, X ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.97/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.32 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.97/1.32 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.97/1.32 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.97/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.97/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.97/1.32 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.97/1.32 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.97/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.97/1.32 ],
% 0.97/1.32 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.97/1.32 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.97/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.32 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.97/1.32 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.97/1.32 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.97/1.32 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.97/1.32 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.97/1.32 Z, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.32 T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.97/1.32 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.32 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.32 ), =( X, Y ), ~( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( T, U, Z ),
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X,
% 0.97/1.32 'c_Equiv__Relations_Oquotient'( T, U, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.97/1.32 ~( 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.97/1.32 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.97/1.32 'c_Set_Oinsert'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 0.97/1.32 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.97/1.32 hAPP( X, T ) ) ) ],
% 0.97/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.97/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.97/1.32 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.97/1.32 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.32 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.32 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.97/1.32 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ) ) ],
% 0.97/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.97/1.32 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.97/1.32 'tc_bool' ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.97/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.97/1.32 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.97/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.32 ) ],
% 0.97/1.32 [ ~( =( 'c_List_Oset'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.32 Y, 'tc_bool' ) ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.97/1.32 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.97/1.32 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.97/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.97/1.32 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.32 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.97/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.97/1.32 ) ) ],
% 0.97/1.32 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.97/1.32 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.97/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.97/1.32 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.97/1.32 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.97/1.32 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.97/1.32 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.97/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.97/1.32 'c_lessequals'( Z, Y, X ) ],
% 0.97/1.32 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.97/1.32 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.97/1.32 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.97/1.32 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.97/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.97/1.32 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.97/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.97/1.32 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.97/1.32 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.97/1.32 ,
% 0.97/1.32 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.97/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.97/1.32 X, Z, T, U ),
% 0.97/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.97/1.32 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.97/1.32 , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.97/1.33 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.97/1.33 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.97/1.33 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.97/1.33 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.97/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.33 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.97/1.33 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.97/1.33 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.33 Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.97/1.33 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.97/1.33 Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.97/1.33 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( X, T ), ~( 'c_in'( X,
% 0.97/1.33 'c_List_Oset'( 'c_List_Olist_OCons'( T, Y, Z ), Z ), Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.97/1.33 T ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.97/1.33 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.97/1.33 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.97/1.33 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.97/1.33 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.97/1.33 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.97/1.33 U ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.97/1.33 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.97/1.33 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.97/1.33 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.33 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.33 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.97/1.33 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.97/1.33 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.97/1.33 ) ) ) ],
% 0.97/1.33 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.97/1.33 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.97/1.33 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.33 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.97/1.33 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.97/1.33 , T ), T ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.97/1.33 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.97/1.33 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.97/1.33 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.33 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.97/1.33 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.97/1.33 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.97/1.33 , T ), T ) ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.97/1.33 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.97/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.33 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.33 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.33 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.97/1.33 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.97/1.33 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.97/1.33 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.97/1.33 'tc_bool' ) ), Z ) ) ],
% 0.97/1.33 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.97/1.33 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.97/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.97/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.97/1.33 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.33 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.97/1.33 ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.33 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.97/1.33 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.97/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.33 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.97/1.33 ) ), Y ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.33 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.97/1.33 ) ), Y ) ],
% 0.97/1.33 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ),
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.33 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.97/1.33 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.97/1.33 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.97/1.33 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.97/1.33 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.97/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.97/1.33 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.97/1.33 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.97/1.33 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.97/1.33 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , =( Y, X ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.97/1.33 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.97/1.33 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.97/1.33 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.97/1.33 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( Y,
% 0.97/1.33 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 0.97/1.33 , Y ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.97/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.97/1.33 ), =( X, Y ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, T, U, U ), W, 'tc_prod'( U, U ) ) )
% 0.97/1.33 , ~( 'c_in'( T, Y, U ) ), ~( 'c_in'( Z, X, U ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.97/1.33 , ~( 'c_in'( X, 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( V0, W, U ) ) ],
% 0.97/1.33 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, Y, Z ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.97/1.33 ~( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z,
% 0.97/1.33 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, W, Z ) ), 'c_in'(
% 0.97/1.33 'c_Pair'( T, X, Z, Z ), W, 'tc_prod'( Z, Z ) ) ],
% 0.97/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.97/1.33 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.97/1.33 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Y, Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( Z, T ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, T ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.97/1.33 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, T ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.97/1.33 [ =( X, Y ), =( X, Z ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OLin',
% 0.97/1.33 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, Z, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 T, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Z,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), T
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , =( Y, T ), =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( U, T ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Oabove'( Z, T, Y ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( T, Y ), 'c_in'( 'c_Pair'( X, T,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( X, T ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, T, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( T, X ), 'c_in'( 'c_Pair'( T, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, T,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), ~( 'c_in'( Z,
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, T ), 'c_in'(
% 0.97/1.33 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, U ), =( X, U ), =( X, Y )
% 0.97/1.33 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, T ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, T ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, U ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.33 T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, T,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, U ), =( X, Y ), ~( 'c_in'(
% 0.97/1.33 Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ =( X, Y ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.97/1.33 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.97/1.33 Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.97/1.33 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.97/1.33 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.97/1.33 ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.97/1.33 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.97/1.33 T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.97/1.33 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.97/1.33 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.97/1.33 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.97/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.97/1.33 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.97/1.33 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.97/1.33 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.97/1.33 ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.97/1.33 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.97/1.33 ), U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.97/1.33 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.97/1.33 't_a' ), 't_a' ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.97/1.33 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.97/1.33 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.97/1.33 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.97/1.33 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.97/1.33 't_a' ), 't_a' ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.97/1.33 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.97/1.33 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.97/1.33 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.97/1.33 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.97/1.33 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.97/1.33 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.97/1.33 Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.97/1.33 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.97/1.33 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.97/1.33 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.97/1.33 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.97/1.33 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 0.97/1.33 V0, 'tc_prod'( T, U ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.97/1.33 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.97/1.33 T, Z ) ) ],
% 0.97/1.33 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.97/1.33 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.97/1.33 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.97/1.33 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.97/1.33 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.97/1.33 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.97/1.33 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.97/1.33 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.97/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.97/1.33 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.97/1.33 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_OImage'( X,
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.33 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.97/1.33 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.97/1.33 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.97/1.33 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.97/1.33 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.97/1.33 'tc_prod'( Y, Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.97/1.33 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.97/1.33 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.97/1.33 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.97/1.33 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.97/1.33 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.97/1.33 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.97/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.97/1.33 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.97/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.97/1.33 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.97/1.33 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.97/1.33 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.97/1.33 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.97/1.33 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.97/1.33 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.97/1.33 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.97/1.33 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.97/1.33 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.97/1.33 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.97/1.33 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.97/1.33 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.97/1.33 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.97/1.33 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.97/1.33 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( 'c_List_Odistinct'(
% 0.97/1.33 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.97/1.33 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), ~(
% 0.97/1.33 'c_List_Odistinct'( Y, Z ) ), 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.97/1.33 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.97/1.33 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.97/1.33 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.97/1.33 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.97/1.33 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 0.97/1.33 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.97/1.33 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'(
% 0.97/1.33 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ),
% 0.97/1.33 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 0.97/1.33 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.97/1.33 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.97/1.33 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.97/1.33 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.97/1.33 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.97/1.33 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.97/1.33 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.97/1.33 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.97/1.33 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.97/1.33 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 0.97/1.33 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.97/1.33 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 0.97/1.33 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 0.97/1.33 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 0.97/1.33 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 0.97/1.33 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.97/1.33 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.97/1.33 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.97/1.33 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.97/1.33 T, T ) ), =( Y, Z ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.97/1.33 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), =( X, Z ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.33 X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T )
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.97/1.33 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z,
% 0.97/1.33 U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.97/1.33 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.97/1.33 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y,
% 0.97/1.33 Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.97/1.33 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.97/1.33 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.97/1.33 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.97/1.33 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'(
% 0.97/1.33 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ),
% 0.97/1.33 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 0.97/1.33 , 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 0.97/1.33 , 't_a' ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.97/1.33 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 0.97/1.33 , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X
% 0.97/1.33 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ),
% 0.97/1.33 ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.97/1.33 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.97/1.33 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.97/1.33 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.97/1.33 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X, Y, Z, T
% 0.97/1.33 , U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T, U ),
% 0.97/1.33 'tc_prod'( T, U ) ) ) ],
% 0.97/1.33 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 0.97/1.33 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.33 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.33 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.97/1.33 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.97/1.33 ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.97/1.33 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.33 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.97/1.33 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.97/1.33 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.33 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.97/1.33 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.97/1.33 Z ) ) ],
% 0.97/1.33 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.97/1.33 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.97/1.33 , Z ) ) ],
% 0.97/1.33 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.33 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.97/1.33 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.97/1.33 , X, 'tc_prod'( Z, Z ) ) ],
% 0.97/1.33 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.97/1.33 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.97/1.33 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.97/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.97/1.33 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.97/1.33 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.97/1.33 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.97/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.97/1.33 , 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.97/1.33 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.97/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.97/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.97/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.97/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.97/1.33 X, U ), W ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.97/1.33 X, U ), W ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.97/1.33 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.97/1.33 , T ) ) ) ],
% 0.97/1.33 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 0.97/1.33 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.97/1.33 Y, Z ) ) ],
% 0.97/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.97/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.97/1.33 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.33 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.97/1.33 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.97/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.97/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.97/1.33 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.97/1.33 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.97/1.33 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.97/1.33 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.97/1.33 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.97/1.33 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.97/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.97/1.33 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.97/1.33 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.97/1.33 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.97/1.33 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.97/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.97/1.33 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.97/1.33 Y ) ],
% 0.97/1.33 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.97/1.33 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.97/1.33 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.97/1.33 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.97/1.33 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.97/1.33 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.97/1.33 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.97/1.33 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.33 X, Y ), X, Y, Y, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.97/1.33 'c_Relation_Osym'( X, Z ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.97/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.97/1.33 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.97/1.33 'c_Relation_OId'( X ) ) ],
% 0.97/1.33 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.97/1.33 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.97/1.33 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.97/1.33 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.97/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.97/1.33 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.97/1.33 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.97/1.33 , Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.97/1.33 'c_Relation_Otrans'( X, Z ) ) ],
% 0.97/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.97/1.33 'c_Relation_OId__on'( X, Y ) ) ],
% 0.97/1.33 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.97/1.33 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.97/1.33 , Y ), X, Y ) ],
% 0.97/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.97/1.33 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.97/1.33 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.97/1.33 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.97/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.97/1.33 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.97/1.33 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.97/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.97/1.33 X ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.97/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.97/1.33 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.97/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.97/1.33 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.97/1.33 Y, Z ) ) ],
% 0.97/1.33 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.97/1.33 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.33 Y, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', X ), Y )
% 0.97/1.33 , Z ), 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.97/1.33 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.97/1.33 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.97/1.33 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ),
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ),
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ),
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ), =( X, Y ) ],
% 0.97/1.33 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.97/1.33 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.97/1.33 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.97/1.33 ) ), =( X, T ) ],
% 0.97/1.33 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.97/1.33 ) ), =( Y, U ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.97/1.33 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.97/1.33 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.97/1.33 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.97/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.97/1.33 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.97/1.33 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.97/1.33 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.97/1.33 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.97/1.33 ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.97/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.97/1.33 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.97/1.33 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.97/1.33 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.97/1.33 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 0.97/1.33 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 0.97/1.33 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 0.97/1.33 'c_List_Ofoldl'( hAPP( 'c_COMBB'( 'c_COMBB'( Y, T, Z, V1 ), 'tc_fun'( V1
% 0.97/1.33 , T ), 'tc_fun'( V1, Z ), Z ), hAPP( 'c_COMBB'( U, T, 'tc_fun'( V1, T ),
% 0.97/1.33 Z ), X ) ), W, V0, Z, V1 ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, X ), 'c_in'(
% 0.97/1.33 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), X ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, Y ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), Y ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, T ), ~( 'c_in'( 'c_Pair'( X, U,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), ~( 'c_in'( Z,
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( U, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( Y, T ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.97/1.33 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ =( X, Y ), =( Y, X ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.97/1.33 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, X ), 'c_in'(
% 0.97/1.33 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), X ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Y ), Z ), T ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( Y, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( Z, T ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( Y, T ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.97/1.33 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, X ), 'c_in'(
% 0.97/1.33 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), X ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ],
% 0.97/1.33 [ =( X, Y ), =( Z, X ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OLin',
% 0.97/1.33 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, X ), 'c_in'(
% 0.97/1.33 'c_Pair'( Z, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', T ), Y ), X ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( Z, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), T, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , =( X, T ), =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ),
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), T ),
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( Y, T ), 'c_in'( 'c_Pair'( T, X,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( X, T ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), T ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( Y, T ), 'c_in'( 'c_Pair'( X, T,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( U, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), X ), Y ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.97/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, Y ), 'c_in'(
% 0.97/1.33 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), Y ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), =( X, T ), =( Y, T ), =( X, Y ), ~( 'c_in'( Z,
% 0.97/1.33 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), =( T, U ) ],
% 0.97/1.33 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 0.97/1.33 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.97/1.33 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.97/1.33 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.97/1.33 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( hBOOL( hAPP(
% 0.97/1.33 hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.97/1.33 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.97/1.33 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.97/1.33 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.97/1.33 Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.97/1.33 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.97/1.33 Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.97/1.33 Z ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.97/1.33 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.97/1.33 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.97/1.33 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.97/1.33 Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.97/1.33 , 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.97/1.33 ), 'tc_prod'( Y, Y ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.97/1.33 ), 'tc_prod'( Y, Y ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.97/1.33 T, Z ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.33 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.97/1.33 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.97/1.33 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.97/1.33 ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.97/1.33 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.97/1.33 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.97/1.33 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.97/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.97/1.33 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.97/1.33 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.97/1.33 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.97/1.33 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.97/1.33 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.97/1.33 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.97/1.33 , Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.97/1.33 , Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.97/1.33 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.97/1.33 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.97/1.33 Z, V0 ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.97/1.33 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.97/1.33 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.97/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.97/1.33 ) ) ],
% 0.97/1.33 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____',
% 0.97/1.33 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( 'v_c____',
% 0.97/1.33 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.97/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.97/1.33 ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.97/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.97/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.97/1.33 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.97/1.33 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.97/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.97/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.97/1.33 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.97/1.33 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.97/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.97/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.97/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.97/1.33 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.97/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.97/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , =( X, Y ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.97/1.33 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.97/1.33 , Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.97/1.33 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.97/1.33 , Z ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.97/1.33 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.97/1.33 Y, Z ), Z ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.97/1.33 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.97/1.33 Y, Z ), Z ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.33 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.33 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.97/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.97/1.33 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.97/1.33 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.97/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.97/1.33 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.97/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.97/1.33 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.97/1.33 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.97/1.33 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.33 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.33 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.97/1.33 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.97/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.97/1.33 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.97/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 0.97/1.33 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.97/1.33 ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.97/1.33 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.97/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.97/1.33 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.97/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.97/1.33 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.97/1.33 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.97/1.33 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P_H____'( X ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'v_P_H____'( X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.97/1.33 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.97/1.33 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.97/1.33 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.97/1.33 ) ) ) ],
% 0.97/1.33 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ ~( =( 'v_b____', 'v_c____' ) ) ],
% 0.97/1.33 [ ~( =( 'v_a____', 'v_c____' ) ) ],
% 0.97/1.33 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_COMBC'( 'c_COMBC'( hAPP( 'c_COMBB'(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_P____' ),
% 0.97/1.33 'v_c____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ), 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__CHAINED__1'( Z, W,
% 0.97/1.33 X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( Z, 'v_sko__CHAINED__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.97/1.33 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__CHAINED__1'( W, Z,
% 0.97/1.33 T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( W, 'v_sko__CHAINED__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.97/1.33 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__CHAINED__1'( Z, W,
% 0.97/1.33 X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( Z, 'v_sko__CHAINED__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.97/1.33 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( W ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__CHAINED__1'( W, Z,
% 0.97/1.33 T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( W, 'v_sko__CHAINED__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.97/1.33 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.97/1.33 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', hAPP( 'v_P____', X ) ), 'v_c____' ),
% 0.97/1.33 'v_b____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_c____',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', hAPP( 'v_P____', X
% 0.97/1.33 ) ), 'v_c____' ), 'v_b____' ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 , ~( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.97/1.33 [ ~( 'c_in'( 'c_Pair'( 'v_a____', 'v_c____',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'v_F'( 'c_COMBC'( 'c_COMBC'( hAPP( 'c_COMBB'(
% 0.97/1.33 'c_Arrow__Order__Mirabelle_Obelow', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_P____' ),
% 0.97/1.33 'v_c____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.97/1.33 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'v_P____' ), 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.97/1.33 ) ],
% 0.97/1.33 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'v_F'( 'v_P____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( 'v_a____',
% 0.97/1.33 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( 'c_COMBC'( 'c_COMBC'( hAPP(
% 0.97/1.33 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Obelow', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_P____' ),
% 0.97/1.33 'v_c____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), 'v_b____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.97/1.33 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.97/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.97/1.33 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.33 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.33 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.33 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.97/1.33 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.33 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.97/1.33 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.33 'class_Orderings_Opreorder'( Y ) ) ],
% 0.97/1.33 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.97/1.33 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.97/1.33 'class_Orderings_Oorder'( Y ) ) ],
% 0.97/1.33 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.97/1.33 Y ) ) ],
% 0.97/1.33 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.97/1.33 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.97/1.33 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.97/1.33 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.97/1.33 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.97/1.33 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.97/1.33 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.97/1.33 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.97/1.33 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.97/1.33 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.97/1.33 ,
% 0.97/1.33 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.97/1.33 ) ) ) ],
% 0.97/1.33 [ 'c_fequal'( X, X, Y ) ],
% 0.97/1.33 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.97/1.33 ] .
% 0.97/1.33
% 0.97/1.33
% 0.97/1.33 percentage equality = 0.264879, percentage horn = 0.835843
% 0.97/1.33 This is a problem with some equality
% 0.97/1.33
% 0.97/1.33
% 0.97/1.33
% 0.97/1.33 Options Used:
% 0.97/1.33
% 0.97/1.33 useres = 1
% 0.97/1.33 useparamod = 1
% 0.97/1.33 useeqrefl = 1
% 0.97/1.33 useeqfact = 1
% 0.97/1.33 usefactor = 1
% 0.97/1.33 usesimpsplitting = 0
% 0.97/1.33 usesimpdemod = 5
% 0.97/1.33 usesimpres = 3
% 0.97/1.33
% 0.97/1.33 resimpinuse = 1000
% 0.97/1.33 resimpclauses = 20000
% 0.97/1.33 substype = eqrewr
% 0.97/1.33 backwardsubs = 1
% 0.97/1.33 selectoldest = 5
% 0.97/1.33
% 0.97/1.33 litorderings [0] = split
% 0.97/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.97/1.33
% 0.97/1.33 termordering = kbo
% 0.97/1.33
% 0.97/1.33 litapriori = 0
% 0.97/1.33 termapriori = 1
% 0.97/1.33 litaposteriori = 0
% 0.97/1.33 termaposteriori = 0
% 0.97/1.33 demodaposteriori = 0
% 0.97/1.33 ordereqreflfact = 0
% 0.97/1.33
% 0.97/1.33 litselect = negord
% 0.97/1.33
% 0.97/1.33 maxweight = 15
% 0.97/1.33 maxdepth = 30000
% 0.97/1.33 maxlength = 115
% 0.97/1.33 maxnrvars = 195
% 0.97/1.33 excuselevel = 1
% 0.97/1.33 increasemaxweight = 1
% 0.97/1.33
% 0.97/1.33 maxselected = 10000000
% 0.97/1.33 maxnrclauses = 10000000
% 0.97/1.33
% 0.97/1.33 showgenerated = 0
% 0.97/1.33 showkept = 0
% 0.97/1.33 showselected = 0
% 0.97/1.33 showdeleted = 0
% 0.97/1.33 showresimp = 1
% 0.97/1.33 showstatus = 2000
% 0.97/1.33
% 0.97/1.33 prologoutput = 1
% 0.97/1.33 nrgoals = 5000000
% 0.97/1.33 totalproof = 1
% 0.97/1.33
% 0.97/1.33 Symbols occurring in the translation:
% 0.97/1.33
% 0.97/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.97/1.33 . [1, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.97/1.33 ! [4, 1] (w:0, o:84, a:1, s:1, b:0),
% 0.97/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.33 'tc_bool' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.97/1.33 'tc_fun' [43, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.97/1.33 'c_HOL_Ominus__class_Ominus' [44, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.97/1.33 'c_Product__Type_OSigma' [47, 4] (w:1, o:194, a:1, s:1, b:0),
% 0.97/1.33 'tc_prod' [48, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.97/1.33 'c_Lattices_Olower__semilattice__class_Oinf' [51, 3] (w:1, o:162, a:1
% 0.97/1.33 , s:1, b:0),
% 0.97/1.33 'c_Lattices_Oupper__semilattice__class_Osup' [52, 3] (w:1, o:163, a:1
% 0.97/1.33 , s:1, b:0),
% 0.97/1.33 'c_lessequals' [53, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.97/1.33 'c_Relation_OImage' [55, 4] (w:1, o:195, a:1, s:1, b:0),
% 0.97/1.33 'c_Set_Oimage' [57, 4] (w:1, o:197, a:1, s:1, b:0),
% 0.97/1.33 'c_Set_Oinsert' [59, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.97/1.33 'c_Orderings_Obot__class_Obot' [60, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.97/1.33 'class_Lattices_Obounded__lattice' [61, 1] (w:1, o:90, a:1, s:1, b:0)
% 0.97/1.33 ,
% 0.97/1.33 'c_Relation_ODomain' [63, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.97/1.33 'c_Transitive__Closure_Ortrancl' [65, 2] (w:1, o:134, a:1, s:1, b:0)
% 0.97/1.33 ,
% 0.97/1.33 'c_Relation_Osym' [67, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.97/1.33 'c_Pair' [69, 4] (w:1, o:198, a:1, s:1, b:0),
% 0.97/1.33 hAPP [70, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.97/1.33 hBOOL [71, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.97/1.33 'class_Orderings_Obot' [73, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.97/1.33 'c_Relation_Orel__comp' [75, 5] (w:1, o:217, a:1, s:1, b:0),
% 0.97/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [78, 3] (w:1, o:
% 0.97/1.33 172, a:1, s:1, b:0),
% 0.97/1.33 'c_Wellfounded_Owf' [79, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.97/1.33 'c_Relation_ORange' [80, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.97/1.33 'c_in' [81, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.97/1.33 'c_COMBK' [82, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.97/1.33 'c_Transitive__Closure_Otrancl' [84, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.97/1.33
% 0.97/1.33 'c_List_Olist_ONil' [85, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.97/1.33 'c_List_Oset' [86, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.97/1.33 'class_Lattices_Odistrib__lattice' [87, 1] (w:1, o:94, a:1, s:1, b:0)
% 0.97/1.33 ,
% 0.97/1.33 'c_Relation_OId__on' [89, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.97/1.33 'c_Relation_Orefl__on' [90, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.97/1.33 'class_Lattices_Oupper__semilattice' [91, 1] (w:1, o:95, a:1, s:1, b:
% 0.97/1.33 0),
% 0.97/1.33 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [95, 3] (w:1, o:175, a:
% 0.97/1.33 1, s:1, b:0),
% 0.97/1.33 'c_Equiv__Relations_Oquotient' [97, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.97/1.33 'c_Equiv__Relations_Oequiv' [98, 3] (w:1, o:177, a:1, s:1, b:0),
% 0.97/1.33 'class_OrderedGroup_Oab__group__add' [100, 1] (w:1, o:96, a:1, s:1
% 0.97/1.33 , b:0),
% 0.97/1.33 'class_Lattices_Olattice' [103, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.97/1.33 'class_Lattices_Olower__semilattice' [104, 1] (w:1, o:98, a:1, s:1
% 0.97/1.33 , b:0),
% 0.97/1.33 'c_Wellfounded_Oacyclic' [105, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.97/1.33 'c_Relation_Otrans' [108, 2] (w:1, o:142, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [110, 3] (w:1, o:
% 1.47/1.85 178, a:1, s:1, b:0),
% 1.47/1.85 'c_Relation_Oconverse' [111, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.47/1.85 'class_Orderings_Oorder' [112, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.47/1.85 'c_Relation_Oantisym' [113, 2] (w:1, o:143, a:1, s:1, b:0),
% 1.47/1.85 'c_List_Olist_OCons' [115, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.47/1.85 'c_Relation_Ototal__on' [116, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.47/1.85 'c_Order__Relation_Ostrict__linear__order__on' [117, 3] (w:1, o:180
% 1.47/1.85 , a:1, s:1, b:0),
% 1.47/1.85 'c_Wellfounded_Oacc' [120, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [122, 3]
% 1.47/1.85 (w:1, o:181, a:1, s:1, b:0),
% 1.47/1.85 'c_List_Osko__Recdef__Xcuts__eq__1__1' [124, 6] (w:1, o:224, a:1, s:1
% 1.47/1.85 , b:0),
% 1.47/1.85 'c_Recdef_Ocut' [125, 5] (w:1, o:218, a:1, s:1, b:0),
% 1.47/1.85 'class_HOL_Oord' [126, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.47/1.85 'c_COMBB' [129, 4] (w:1, o:199, a:1, s:1, b:0),
% 1.47/1.85 'class_Orderings_Opreorder' [130, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.47/1.85 'c_Relation_Osingle__valued' [132, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.47/1.85 'class_OrderedGroup_Opordered__ab__group__add' [135, 1] (w:1, o:102
% 1.47/1.85 , a:1, s:1, b:0),
% 1.47/1.85 'class_Orderings_Olinorder' [137, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.47/1.85 'c_Relation_Oirrefl' [138, 2] (w:1, o:145, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 1.47/1.85 [139, 4] (w:1, o:200, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 1.47/1.85 [140, 4] (w:1, o:201, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [141, 4
% 1.47/1.85 ] (w:1, o:202, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [142, 4
% 1.47/1.85 ] (w:1, o:203, a:1, s:1, b:0),
% 1.47/1.85 'c_Relation_OId' [143, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [144, 3]
% 1.47/1.85 (w:1, o:182, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [145, 3] (w:1, o:
% 1.47/1.85 183, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [146, 5] (w:1, o:219
% 1.47/1.85 , a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [147, 5] (w:1, o:
% 1.47/1.85 220, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [148, 3] (w:1
% 1.47/1.85 , o:184, a:1, s:1, b:0),
% 1.47/1.85 'v_sko__Wellfounded__Xacc__Xinducts__1' [149, 2] (w:1, o:146, a:1, s:
% 1.47/1.85 1, b:0),
% 1.47/1.85 't_a' [150, 0] (w:1, o:62, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [151, 3]
% 1.47/1.85 (w:1, o:185, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [152, 3] (w:
% 1.47/1.85 1, o:186, a:1, s:1, b:0),
% 1.47/1.85 'v_sko__Wellfounded__Xacc__Xinduct__1' [153, 2] (w:1, o:147, a:1, s:1
% 1.47/1.85 , b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [154, 3] (w:1
% 1.47/1.85 , o:187, a:1, s:1, b:0),
% 1.47/1.85 'c_Arrow__Order__Mirabelle_Oabove' [156, 3] (w:1, o:188, a:1, s:1, b:
% 1.47/1.85 0),
% 1.47/1.85 'c_Arrow__Order__Mirabelle_OLin' [157, 0] (w:1, o:64, a:1, s:1, b:0)
% 1.47/1.85 ,
% 1.47/1.85 'tc_Arrow__Order__Mirabelle_Oalt' [158, 0] (w:1, o:65, a:1, s:1, b:0)
% 1.47/1.85 ,
% 1.47/1.85 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1' [159, 2] (w:1, o:148
% 1.47/1.85 , a:1, s:1, b:0),
% 1.47/1.85 'c_List_Odistinct' [160, 2] (w:1, o:149, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [161, 4]
% 1.47/1.85 (w:1, o:204, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [162, 4]
% 1.47/1.85 (w:1, o:205, a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [163, 4] (w:1, o:206
% 1.47/1.85 , a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [165, 4] (w:1, o:207
% 1.47/1.85 , a:1, s:1, b:0),
% 1.47/1.85 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [166, 4] (w:1, o:
% 1.47/1.85 208, a:1, s:1, b:0),
% 1.47/1.85 'c_split' [167, 4] (w:1, o:209, a:1, s:1, b:0),
% 1.47/1.85 'c_Nitpick_Orefl_H' [168, 2] (w:1, o:150, a:1, s:1, b:0),
% 1.47/1.85 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [169, 2] (w:1, o:151
% 1.47/1.85 , a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [170, 2] (w:1, o:
% 9.38/9.76 152, a:1, s:1, b:0),
% 9.38/9.76 'v_r' [171, 0] (w:1, o:66, a:1, s:1, b:0),
% 9.38/9.76 't_b' [172, 0] (w:1, o:67, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [173, 3] (w:1, o:189
% 9.38/9.76 , a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [174, 2] (w:1
% 9.38/9.76 , o:153, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [175, 2] (w:1, o:
% 9.38/9.76 154, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [176, 2] (w:1, o:155, a:1
% 9.38/9.76 , s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [177, 7] (w:1
% 9.38/9.76 , o:227, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [178
% 9.38/9.76 , 2] (w:1, o:156, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [179,
% 9.38/9.76 4] (w:1, o:210, a:1, s:1, b:0),
% 9.38/9.76 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [182, 3] (w:1, o:190
% 9.38/9.76 , a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [183, 4]
% 9.38/9.76 (w:1, o:211, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [185, 4]
% 9.38/9.76 (w:1, o:212, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [186
% 9.38/9.76 , 4] (w:1, o:213, a:1, s:1, b:0),
% 9.38/9.76 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [187, 3] (w:1, o:
% 9.38/9.76 191, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [188, 5] (w:1, o:
% 9.38/9.76 221, a:1, s:1, b:0),
% 9.38/9.76 'c_FunDef_Oin__rel' [189, 3] (w:1, o:192, a:1, s:1, b:0),
% 9.38/9.76 'c_Wellfounded_OwfP' [190, 2] (w:1, o:157, a:1, s:1, b:0),
% 9.38/9.76 'c_List_Ofoldl' [193, 5] (w:1, o:222, a:1, s:1, b:0),
% 9.38/9.76 'c_Relation_Oinv__image' [194, 4] (w:1, o:196, a:1, s:1, b:0),
% 9.38/9.76 'c_Arrow__Order__Mirabelle_Obelow' [196, 0] (w:1, o:70, a:1, s:1, b:0
% 9.38/9.76 ),
% 9.38/9.76 'c_Equiv__Relations_Ocongruent' [198, 4] (w:1, o:214, a:1, s:1, b:0)
% 9.38/9.76 ,
% 9.38/9.76 'c_Equiv__Relations_Ocongruent2' [200, 6] (w:1, o:225, a:1, s:1, b:0)
% 9.38/9.76 ,
% 9.38/9.76 'c_Arrow__Order__Mirabelle_Omkbot' [201, 2] (w:1, o:158, a:1, s:1, b:
% 9.38/9.76 0),
% 9.38/9.76 'c_Arrow__Order__Mirabelle_Omktop' [202, 2] (w:1, o:159, a:1, s:1, b:
% 9.38/9.76 0),
% 9.38/9.76 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [203, 2] (w:1, o:
% 9.38/9.76 160, a:1, s:1, b:0),
% 9.38/9.76 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [205, 4] (w:1, o:
% 9.38/9.76 215, a:1, s:1, b:0),
% 9.38/9.76 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [207, 4] (w:1, o:216
% 9.38/9.76 , a:1, s:1, b:0),
% 9.38/9.76 'v_a____' [212, 0] (w:1, o:75, a:1, s:1, b:0),
% 9.38/9.76 'v_b____' [213, 0] (w:1, o:76, a:1, s:1, b:0),
% 9.38/9.76 'v_c____' [214, 0] (w:1, o:77, a:1, s:1, b:0),
% 9.38/9.76 'v_P____' [215, 0] (w:1, o:78, a:1, s:1, b:0),
% 9.38/9.76 'v_P_H____' [217, 1] (w:1, o:105, a:1, s:1, b:0),
% 9.38/9.76 'c_COMBC' [219, 5] (w:1, o:223, a:1, s:1, b:0),
% 9.38/9.76 'tc_Arrow__Order__Mirabelle_Oindi' [220, 0] (w:1, o:80, a:1, s:1, b:0
% 9.38/9.76 ),
% 9.38/9.76 'c_Arrow__Order__Mirabelle_OProf' [221, 0] (w:1, o:81, a:1, s:1, b:0)
% 9.38/9.76 ,
% 9.38/9.76 'v_F' [222, 1] (w:1, o:106, a:1, s:1, b:0),
% 9.38/9.76 'v_sko__CHAINED__1' [224, 6] (w:1, o:226, a:1, s:1, b:0),
% 9.38/9.76 'c_fequal' [227, 3] (w:1, o:193, a:1, s:1, b:0).
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 Starting Search:
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 Intermediate Status:
% 9.38/9.76 Generated: 6547
% 9.38/9.76 Kept: 2014
% 9.38/9.76 Inuse: 141
% 9.38/9.76 Deleted: 5
% 9.38/9.76 Deletedinuse: 0
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 Intermediate Status:
% 9.38/9.76 Generated: 12434
% 9.38/9.76 Kept: 4071
% 9.38/9.76 Inuse: 276
% 9.38/9.76 Deleted: 6
% 9.38/9.76 Deletedinuse: 1
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 Intermediate Status:
% 9.38/9.76 Generated: 19354
% 9.38/9.76 Kept: 6101
% 9.38/9.76 Inuse: 379
% 9.38/9.76 Deleted: 12
% 9.38/9.76 Deletedinuse: 5
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 Intermediate Status:
% 9.38/9.76 Generated: 27166
% 9.38/9.76 Kept: 8518
% 9.38/9.76 Inuse: 476
% 9.38/9.76 Deleted: 16
% 9.38/9.76 Deletedinuse: 7
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 Intermediate Status:
% 9.38/9.76 Generated: 37711
% 9.38/9.76 Kept: 10748
% 9.38/9.76 Inuse: 566
% 9.38/9.76 Deleted: 17
% 9.38/9.76 Deletedinuse: 7
% 9.38/9.76
% 9.38/9.76 Resimplifying inuse:
% 9.38/9.76 Done
% 9.38/9.76
% 9.38/9.76
% 9.38/9.76 Intermediate Status:
% 9.38/9.76 Generated: 49143
% 9.38/9.76 Kept: 12956
% 110.56/110.94 Inuse: 634
% 110.56/110.94 Deleted: 19
% 110.56/110.94 Deletedinuse: 7
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 75192
% 110.56/110.94 Kept: 16700
% 110.56/110.94 Inuse: 691
% 110.56/110.94 Deleted: 23
% 110.56/110.94 Deletedinuse: 8
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 93283
% 110.56/110.94 Kept: 19116
% 110.56/110.94 Inuse: 696
% 110.56/110.94 Deleted: 25
% 110.56/110.94 Deletedinuse: 10
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying clauses:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 102577
% 110.56/110.94 Kept: 21194
% 110.56/110.94 Inuse: 741
% 110.56/110.94 Deleted: 268
% 110.56/110.94 Deletedinuse: 10
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 122303
% 110.56/110.94 Kept: 23212
% 110.56/110.94 Inuse: 776
% 110.56/110.94 Deleted: 268
% 110.56/110.94 Deletedinuse: 10
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 146446
% 110.56/110.94 Kept: 25213
% 110.56/110.94 Inuse: 799
% 110.56/110.94 Deleted: 268
% 110.56/110.94 Deletedinuse: 10
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 160473
% 110.56/110.94 Kept: 27234
% 110.56/110.94 Inuse: 830
% 110.56/110.94 Deleted: 272
% 110.56/110.94 Deletedinuse: 13
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 174407
% 110.56/110.94 Kept: 29465
% 110.56/110.94 Inuse: 879
% 110.56/110.94 Deleted: 277
% 110.56/110.94 Deletedinuse: 17
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 187772
% 110.56/110.94 Kept: 32159
% 110.56/110.94 Inuse: 894
% 110.56/110.94 Deleted: 277
% 110.56/110.94 Deletedinuse: 17
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 206918
% 110.56/110.94 Kept: 34265
% 110.56/110.94 Inuse: 954
% 110.56/110.94 Deleted: 277
% 110.56/110.94 Deletedinuse: 17
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 222847
% 110.56/110.94 Kept: 36485
% 110.56/110.94 Inuse: 989
% 110.56/110.94 Deleted: 277
% 110.56/110.94 Deletedinuse: 17
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 238549
% 110.56/110.94 Kept: 38572
% 110.56/110.94 Inuse: 1034
% 110.56/110.94 Deleted: 278
% 110.56/110.94 Deletedinuse: 18
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 262162
% 110.56/110.94 Kept: 41957
% 110.56/110.94 Inuse: 1083
% 110.56/110.94 Deleted: 282
% 110.56/110.94 Deletedinuse: 21
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying clauses:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 283787
% 110.56/110.94 Kept: 43971
% 110.56/110.94 Inuse: 1122
% 110.56/110.94 Deleted: 715
% 110.56/110.94 Deletedinuse: 28
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 302746
% 110.56/110.94 Kept: 45971
% 110.56/110.94 Inuse: 1172
% 110.56/110.94 Deleted: 715
% 110.56/110.94 Deletedinuse: 28
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 323937
% 110.56/110.94 Kept: 49585
% 110.56/110.94 Inuse: 1213
% 110.56/110.94 Deleted: 716
% 110.56/110.94 Deletedinuse: 29
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 340840
% 110.56/110.94 Kept: 51908
% 110.56/110.94 Inuse: 1228
% 110.56/110.94 Deleted: 716
% 110.56/110.94 Deletedinuse: 29
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 360233
% 110.56/110.94 Kept: 54031
% 110.56/110.94 Inuse: 1261
% 110.56/110.94 Deleted: 723
% 110.56/110.94 Deletedinuse: 29
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 368083
% 110.56/110.94 Kept: 56038
% 110.56/110.94 Inuse: 1265
% 110.56/110.94 Deleted: 741
% 110.56/110.94 Deletedinuse: 31
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 374736
% 110.56/110.94 Kept: 58107
% 110.56/110.94 Inuse: 1275
% 110.56/110.94 Deleted: 766
% 110.56/110.94 Deletedinuse: 31
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 385669
% 110.56/110.94 Kept: 60249
% 110.56/110.94 Inuse: 1279
% 110.56/110.94 Deleted: 767
% 110.56/110.94 Deletedinuse: 31
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 404387
% 110.56/110.94 Kept: 62433
% 110.56/110.94 Inuse: 1302
% 110.56/110.94 Deleted: 769
% 110.56/110.94 Deletedinuse: 31
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying clauses:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 416208
% 110.56/110.94 Kept: 64480
% 110.56/110.94 Inuse: 1342
% 110.56/110.94 Deleted: 1225
% 110.56/110.94 Deletedinuse: 34
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 433531
% 110.56/110.94 Kept: 66560
% 110.56/110.94 Inuse: 1389
% 110.56/110.94 Deleted: 1237
% 110.56/110.94 Deletedinuse: 38
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 110.56/110.94 Done
% 110.56/110.94
% 110.56/110.94
% 110.56/110.94 Intermediate Status:
% 110.56/110.94 Generated: 452668
% 110.56/110.94 Kept: 70464
% 110.56/110.94 Inuse: 1421
% 110.56/110.94 Deleted: 1245
% 110.56/110.94 Deletedinuse: 43
% 110.56/110.94
% 110.56/110.94 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 476978
% 255.48/255.89 Kept: 72918
% 255.48/255.89 Inuse: 1450
% 255.48/255.89 Deleted: 1247
% 255.48/255.89 Deletedinuse: 44
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 494712
% 255.48/255.89 Kept: 76135
% 255.48/255.89 Inuse: 1464
% 255.48/255.89 Deleted: 1248
% 255.48/255.89 Deletedinuse: 44
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 515444
% 255.48/255.89 Kept: 78653
% 255.48/255.89 Inuse: 1468
% 255.48/255.89 Deleted: 1251
% 255.48/255.89 Deletedinuse: 46
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 532703
% 255.48/255.89 Kept: 81724
% 255.48/255.89 Inuse: 1476
% 255.48/255.89 Deleted: 1254
% 255.48/255.89 Deletedinuse: 47
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 575848
% 255.48/255.89 Kept: 86863
% 255.48/255.89 Inuse: 1480
% 255.48/255.89 Deleted: 1257
% 255.48/255.89 Deletedinuse: 49
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying clauses:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 620487
% 255.48/255.89 Kept: 92241
% 255.48/255.89 Inuse: 1485
% 255.48/255.89 Deleted: 1830
% 255.48/255.89 Deletedinuse: 50
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 776197
% 255.48/255.89 Kept: 99962
% 255.48/255.89 Inuse: 1490
% 255.48/255.89 Deleted: 1831
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 942406
% 255.48/255.89 Kept: 107796
% 255.48/255.89 Inuse: 1495
% 255.48/255.89 Deleted: 1831
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying clauses:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 964238
% 255.48/255.89 Kept: 110996
% 255.48/255.89 Inuse: 1500
% 255.48/255.89 Deleted: 1874
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 1049776
% 255.48/255.89 Kept: 116724
% 255.48/255.89 Inuse: 1505
% 255.48/255.89 Deleted: 1874
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 1109567
% 255.48/255.89 Kept: 122337
% 255.48/255.89 Inuse: 1510
% 255.48/255.89 Deleted: 1874
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 1576483
% 255.48/255.89 Kept: 132854
% 255.48/255.89 Inuse: 1515
% 255.48/255.89 Deleted: 1874
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying clauses:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 1797663
% 255.48/255.89 Kept: 141206
% 255.48/255.89 Inuse: 1520
% 255.48/255.89 Deleted: 1913
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2029458
% 255.48/255.89 Kept: 149663
% 255.48/255.89 Inuse: 1525
% 255.48/255.89 Deleted: 1913
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2059244
% 255.48/255.89 Kept: 153070
% 255.48/255.89 Inuse: 1530
% 255.48/255.89 Deleted: 1913
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying clauses:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2076828
% 255.48/255.89 Kept: 155071
% 255.48/255.89 Inuse: 1545
% 255.48/255.89 Deleted: 1955
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2101545
% 255.48/255.89 Kept: 157716
% 255.48/255.89 Inuse: 1565
% 255.48/255.89 Deleted: 1955
% 255.48/255.89 Deletedinuse: 51
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2122167
% 255.48/255.89 Kept: 160011
% 255.48/255.89 Inuse: 1579
% 255.48/255.89 Deleted: 1957
% 255.48/255.89 Deletedinuse: 52
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2144235
% 255.48/255.89 Kept: 162321
% 255.48/255.89 Inuse: 1594
% 255.48/255.89 Deleted: 1957
% 255.48/255.89 Deletedinuse: 52
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2164677
% 255.48/255.89 Kept: 164478
% 255.48/255.89 Inuse: 1614
% 255.48/255.89 Deleted: 1959
% 255.48/255.89 Deletedinuse: 54
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2187332
% 255.48/255.89 Kept: 166766
% 255.48/255.89 Inuse: 1639
% 255.48/255.89 Deleted: 1960
% 255.48/255.89 Deletedinuse: 55
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2207568
% 255.48/255.89 Kept: 168817
% 255.48/255.89 Inuse: 1658
% 255.48/255.89 Deleted: 1962
% 255.48/255.89 Deletedinuse: 56
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2232770
% 255.48/255.89 Kept: 171012
% 255.48/255.89 Inuse: 1683
% 255.48/255.89 Deleted: 1962
% 255.48/255.89 Deletedinuse: 56
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2250682
% 255.48/255.89 Kept: 173263
% 255.48/255.89 Inuse: 1698
% 255.48/255.89 Deleted: 1974
% 255.48/255.89 Deletedinuse: 68
% 255.48/255.89
% 255.48/255.89 Resimplifying clauses:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 255.48/255.89
% 255.48/255.89 Intermediate Status:
% 255.48/255.89 Generated: 2269142
% 255.48/255.89 Kept: 175267
% 255.48/255.89 Inuse: 1719
% 255.48/255.89 Deleted: 2990
% 255.48/255.89 Deletedinuse: 70
% 255.48/255.89
% 255.48/255.89 Resimplifying inuse:
% 255.48/255.89 Done
% 255.48/255.89
% 300.07/300.50 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------