TSTP Solution File: SCT041-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT041-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:45 EDT 2022
% Result : Timeout 300.04s 300.58s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT041-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 04:28:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.08/1.50 *** allocated 10000 integers for termspace/termends
% 1.08/1.50 *** allocated 10000 integers for clauses
% 1.08/1.50 *** allocated 10000 integers for justifications
% 1.08/1.50 *** allocated 15000 integers for termspace/termends
% 1.08/1.50 *** allocated 22500 integers for termspace/termends
% 1.08/1.50 Bliksem 1.12
% 1.08/1.50
% 1.08/1.50
% 1.08/1.50 Automatic Strategy Selection
% 1.08/1.50
% 1.08/1.50 Clauses:
% 1.08/1.50 [
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.08/1.50 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.08/1.50 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.08/1.50 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 1.08/1.50 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.08/1.50 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.08/1.50 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 1.08/1.50 ) ) ],
% 1.08/1.50 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.08/1.50 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 1.08/1.50 ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 1.08/1.50 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), T ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 1.08/1.50 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.08/1.50 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.08/1.50 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.08/1.50 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 1.08/1.50 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 1.08/1.50 ],
% 1.08/1.50 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 1.08/1.50 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 1.08/1.50 ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.08/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 1.08/1.50 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 1.08/1.50 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 1.08/1.50 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.08/1.50 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.08/1.50 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 1.08/1.50 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 1.08/1.50 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 1.08/1.50 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.08/1.50 'c_in'( W, Y, Z ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.08/1.50 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.08/1.50 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 1.08/1.50 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 1.08/1.50 ~( 'c_in'( W, T, U ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.08/1.50 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.08/1.50 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.08/1.50 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.08/1.50 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.08/1.50 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 1.08/1.50 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.08/1.50 ) ) ) ],
% 1.08/1.50 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.08/1.50 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 1.08/1.50 'c_in'( U, T, Z ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 1.08/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.08/1.50 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.08/1.50 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 1.08/1.50 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 1.08/1.50 ) ],
% 1.08/1.50 [ =( 'c_Product__Type_OSigma'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 1.08/1.50 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 1.08/1.50 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.08/1.50 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.08/1.50 , X ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 1.08/1.50 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.08/1.50 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 1.08/1.50 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 1.08/1.50 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 1.08/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 1.08/1.50 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 1.08/1.50 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.08/1.50 'tc_bool' ) ), X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.08/1.50 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 1.08/1.50 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 1.08/1.50 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 1.08/1.50 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 1.08/1.50 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ =( 'c_Relation_OImage'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 1.08/1.50 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.08/1.50 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 1.08/1.50 'c_Wellfounded_Owf'( Z, T ) ) ],
% 1.08/1.50 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.08/1.50 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.08/1.50 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.08/1.50 [ =( X, 'c_Pair'( hAPP( 'c_fst'( Y, Z ), X ), hAPP( 'c_snd'( Y, Z ), X )
% 1.08/1.50 , Y, Z ) ) ],
% 1.08/1.50 [ =( 'c_Pair'( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), Z ), X
% 1.08/1.50 , Y ), Z ) ],
% 1.08/1.50 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.08/1.50 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 1.08/1.50 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, T ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.08/1.50 , T, X ) ) ), =( Y, Z ) ],
% 1.08/1.50 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.08/1.50 , T, X ) ) ), =( Z, T ) ],
% 1.08/1.50 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.08/1.50 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 1.08/1.50 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.08/1.50 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.08/1.50 ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.08/1.50 ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.08/1.50 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.08/1.50 'c_lessequals'( Y, Z, X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.08/1.50 'c_lessequals'( Z, Y, X ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.08/1.50 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.08/1.50 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 1.08/1.50 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 1.08/1.50 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.08/1.50 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.08/1.50 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.08/1.50 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.08/1.50 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.08/1.50 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.08/1.50 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.08/1.50 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 1.08/1.50 ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.08/1.50 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 1.08/1.50 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.08/1.50 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.08/1.50 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.08/1.50 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.08/1.50 X, T ), Y ) ) ) ],
% 1.08/1.50 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 1.08/1.50 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 1.08/1.50 , Z, T ), Z ) ) ],
% 1.08/1.50 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 1.08/1.50 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 1.08/1.50 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.08/1.50 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.08/1.50 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.08/1.50 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, T ), 'tc_bool' ) ), Z, T ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 1.08/1.50 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.08/1.50 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.08/1.50 ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.08/1.50 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.08/1.50 ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.08/1.50 ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 1.08/1.50 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.08/1.50 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.50 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 1.08/1.50 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.08/1.50 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.08/1.50 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.08/1.50 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 1.08/1.50 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 1.08/1.50 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 1.08/1.50 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 1.08/1.50 ],
% 1.08/1.50 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.08/1.50 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 1.08/1.50 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 1.08/1.50 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 1.08/1.50 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), Y ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.08/1.50 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 1.08/1.50 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.08/1.50 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 1.08/1.50 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 1.08/1.50 [ =( 'c_Product__Type_OSigma'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 1.08/1.50 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.08/1.50 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.08/1.50 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 1.08/1.50 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.08/1.50 X, 'tc_bool' ) ), Y ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.08/1.50 'tc_bool' ) ), X ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 1.08/1.50 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 1.08/1.50 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 1.08/1.50 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 1.08/1.50 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 1.08/1.50 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 1.08/1.50 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 1.08/1.50 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.08/1.50 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 1.08/1.50 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 1.08/1.50 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.08/1.50 ) ), Y ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.08/1.50 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.08/1.50 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 1.08/1.50 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 1.08/1.50 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.08/1.50 ) ) ],
% 1.08/1.50 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 1.08/1.50 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.08/1.50 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.08/1.50 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.08/1.50 ) ) ), =( 'c_Relation_Orel__comp'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.08/1.50 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.08/1.50 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.08/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 1.08/1.50 'c_Wellfounded_Owf'( Z, T ) ) ],
% 1.08/1.50 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 1.08/1.50 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.08/1.50 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.08/1.50 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 1.08/1.50 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.08/1.50 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.08/1.50 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.08/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.08/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.50 [ =( hAPP( 'c_split'( X, Y, Z, T ), U ), hAPP( hAPP( X, hAPP( 'c_fst'( Y
% 1.08/1.50 , Z ), U ) ), hAPP( 'c_snd'( Y, Z ), U ) ) ) ],
% 1.08/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.08/1.50 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.08/1.50 'c_lessequals'( Z, Y, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.08/1.50 'c_lessequals'( Y, Z, X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.08/1.50 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.08/1.50 ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.08/1.50 ],
% 1.08/1.50 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.08/1.50 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.08/1.50 ],
% 1.08/1.50 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 1.08/1.50 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 1.08/1.50 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.08/1.50 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 1.08/1.50 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.08/1.50 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.08/1.50 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.08/1.50 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.08/1.50 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.08/1.50 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.08/1.50 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.08/1.50 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.08/1.50 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.08/1.50 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 1.08/1.50 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.08/1.50 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 1.08/1.50 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.08/1.50 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.08/1.50 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 1.08/1.50 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.08/1.50 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.08/1.50 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.08/1.50 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.08/1.50 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.08/1.50 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.08/1.50 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.08/1.50 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 1.08/1.50 ), 'tc_bool' ) ), X ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.08/1.50 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.08/1.50 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 1.08/1.50 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.08/1.50 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.08/1.50 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.08/1.50 'tc_bool' ) ), Y, X ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.08/1.50 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.08/1.50 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Relation_Oconverse'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, T ), 'tc_bool' ) ), Z, T ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 1.08/1.50 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 1.08/1.50 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.08/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.08/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.08/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.08/1.50 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.08/1.50 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.08/1.50 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.08/1.50 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.08/1.50 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.08/1.50 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Product__Type_OSigma'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 1.08/1.50 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.08/1.50 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.08/1.50 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.08/1.50 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.08/1.50 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 1.08/1.50 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.08/1.50 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.08/1.50 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.08/1.50 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.08/1.50 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 1.08/1.50 Y, Z ) ) ],
% 1.08/1.50 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.08/1.50 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.08/1.50 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 1.08/1.50 X, X ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 1.08/1.50 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.08/1.50 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Product__Type_OSigma'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 1.08/1.50 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.08/1.50 ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.08/1.50 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 1.08/1.50 , T ) ],
% 1.08/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 1.08/1.50 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.08/1.50 ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.08/1.50 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 1.08/1.50 , T ) ],
% 1.08/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.08/1.50 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 1.08/1.50 , Z ) ],
% 1.08/1.50 [ =( 'c_Relation_Oconverse'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, T ), 'tc_bool' ) ), Z, T ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 1.08/1.50 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 1.08/1.50 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.08/1.50 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.08/1.50 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 1.08/1.50 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 1.08/1.50 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 1.08/1.50 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.08/1.50 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.08/1.50 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.08/1.50 ) ],
% 1.08/1.50 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.08/1.50 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.08/1.50 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.08/1.50 ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.08/1.50 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Relation_Orel__comp'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 1.08/1.50 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 1.08/1.50 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Relation_Orel__comp'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 T, U ), 'tc_bool' ) ), W, T, U ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 1.08/1.50 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 1.08/1.50 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.08/1.50 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.08/1.50 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.08/1.50 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 Z, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.08/1.50 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 T, Z, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.08/1.50 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.08/1.50 'c_lessequals'( Z, T, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.08/1.50 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 Z, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.08/1.50 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 T, Z, X ), X ) ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.08/1.50 Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.08/1.50 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 1.08/1.50 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.08/1.50 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.08/1.50 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 1.08/1.50 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 1.08/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.08/1.50 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.08/1.50 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.08/1.50 ) ), Z, X ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.08/1.50 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.08/1.50 ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Relation_ORange'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Z, T ), 'tc_bool' ) ), Z, T ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 1.08/1.50 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.08/1.50 T, 'tc_bool' ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.08/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 1.08/1.50 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 1.08/1.50 [ =( 'c_Transitive__Closure_Ortrancl'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.08/1.50 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.08/1.50 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 1.08/1.50 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.08/1.50 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.08/1.50 'c_in'( X, T, Z ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.08/1.50 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.08/1.50 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.08/1.50 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), Y ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), Y ) ) ) ],
% 1.08/1.50 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 1.08/1.50 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 1.08/1.50 Z, T ), T ) ) ],
% 1.08/1.50 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 1.08/1.50 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 1.08/1.50 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 1.08/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 1.08/1.50 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 1.08/1.50 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.08/1.50 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 1.08/1.50 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 1.08/1.50 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 1.08/1.50 U, W ) ) ],
% 1.08/1.50 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 1.08/1.50 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.08/1.50 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 1.08/1.50 , T ) ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 1.08/1.50 , T ) ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 1.08/1.50 ,
% 1.08/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.08/1.50 ), ~( 'c_in'( X, T, Z ) ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 1.08/1.50 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.08/1.50 ), Y ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.08/1.50 ), Y ) ) ],
% 1.08/1.50 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.08/1.50 ), Y ) ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 1.08/1.50 , Z ) ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 1.08/1.50 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 1.08/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 1.08/1.50 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.08/1.50 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 1.08/1.50 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 1.08/1.50 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.08/1.50 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 1.08/1.50 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 1.08/1.50 [ =( hAPP( 'c_fst'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), Z ) ],
% 1.08/1.50 [ =( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( X, T, Y, Z ) ) ) ],
% 1.08/1.50 [ =( hAPP( 'c_snd'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), T ) ],
% 1.08/1.50 [ =( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, X, Y, Z ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 1.08/1.50 ~( hBOOL( hAPP( W, U ) ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 1.08/1.50 ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( W, T ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 1.08/1.50 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.08/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.08/1.50 [ 'c_Relation_Otrans'( X, Y ), ~(
% 1.08/1.50 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 1.08/1.50 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.08/1.50 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 1.08/1.50 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 1.08/1.50 , T, Z ) ) ],
% 1.08/1.50 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.08/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 1.08/1.50 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 1.08/1.50 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.08/1.50 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.08/1.50 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.08/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.08/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.08/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.08/1.50 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.50 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 1.13/1.50 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.13/1.50 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.13/1.50 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 1.13/1.50 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.13/1.50 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 1.13/1.50 , Z ) ) ],
% 1.13/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.13/1.50 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.13/1.50 'tc_bool' ) ), X ) ],
% 1.13/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.50 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.13/1.50 Y, X ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.50 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.50 T, X ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.13/1.50 'c_lessequals'( Y, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.50 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.13/1.50 Y, X ), Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.13/1.50 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.13/1.50 T, X ), Z, X ) ) ],
% 1.13/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.13/1.50 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.13/1.50 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.13/1.50 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.13/1.50 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.13/1.50 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.13/1.50 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 1.13/1.50 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.13/1.50 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 1.13/1.50 ],
% 1.13/1.50 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 1.13/1.50 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 1.13/1.50 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.50 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.13/1.50 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.50 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.13/1.50 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.13/1.50 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.13/1.50 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.50 T, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.50 Z, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.50 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 1.13/1.50 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 1.13/1.50 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.13/1.50 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.13/1.50 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.13/1.50 Z, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.13/1.50 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.13/1.50 T, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.13/1.50 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.13/1.50 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.13/1.50 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.13/1.50 hAPP( X, T ) ) ) ],
% 1.13/1.50 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.13/1.50 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 1.13/1.50 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 1.13/1.50 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.13/1.50 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.13/1.50 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.13/1.50 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ) ) ],
% 1.13/1.50 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.13/1.50 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.13/1.50 'tc_bool' ) ) ],
% 1.13/1.50 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 1.13/1.50 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.13/1.50 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.13/1.50 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 1.13/1.50 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 1.13/1.50 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) )
% 1.13/1.50 ), hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ), ~( hBOOL( hAPP(
% 1.13/1.50 hAPP( X, U ), T ) ) ) ],
% 1.13/1.50 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.13/1.50 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.13/1.50 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 1.13/1.50 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 1.13/1.50 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 1.13/1.50 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 1.13/1.50 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 1.13/1.50 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 1.13/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.13/1.50 'c_lessequals'( Z, Y, X ) ],
% 1.13/1.50 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 1.13/1.50 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 1.13/1.50 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 1.13/1.50 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 1.13/1.50 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 1.13/1.50 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 1.13/1.50 X, Z, T, U ),
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 1.13/1.50 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 1.13/1.50 , U ), 'tc_prod'( U, U ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 1.13/1.50 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 1.13/1.50 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 1.13/1.50 , U ), 'tc_prod'( U, U ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 1.13/1.50 ],
% 1.13/1.50 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.13/1.50 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 1.13/1.50 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 1.13/1.50 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 1.13/1.50 Y, Y ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 1.13/1.50 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 1.13/1.50 Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 1.13/1.50 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 1.13/1.50 ],
% 1.13/1.50 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.13/1.50 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 1.13/1.50 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 1.13/1.50 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 1.13/1.50 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 1.13/1.50 T ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 1.13/1.50 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 1.13/1.50 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 1.13/1.50 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 1.13/1.50 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 1.13/1.50 U ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 1.13/1.50 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 1.13/1.50 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 1.13/1.50 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 1.13/1.50 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 1.13/1.50 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 1.13/1.50 ) ) ) ],
% 1.13/1.50 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.13/1.50 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 1.13/1.50 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.13/1.50 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 1.13/1.50 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.13/1.50 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 1.13/1.50 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 1.13/1.50 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 1.13/1.50 'tc_bool' ) ), Z ) ) ],
% 1.13/1.50 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 1.13/1.50 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Ortrancl'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 1.13/1.50 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 1.13/1.50 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 1.13/1.50 ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.13/1.50 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 1.13/1.50 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 1.13/1.50 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.13/1.50 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 1.13/1.50 ) ), Y ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.13/1.50 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 1.13/1.50 ) ), Y ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.13/1.50 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 1.13/1.50 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 1.13/1.50 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 1.13/1.50 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 1.13/1.50 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 1.13/1.50 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 1.13/1.50 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 1.13/1.50 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 1.13/1.50 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.13/1.50 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 1.13/1.50 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 1.13/1.50 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 1.13/1.50 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 1.13/1.50 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 1.13/1.50 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 1.13/1.50 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 1.13/1.50 ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 1.13/1.50 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 1.13/1.50 T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 1.13/1.50 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 1.13/1.50 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 1.13/1.50 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.13/1.50 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 1.13/1.50 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 1.13/1.50 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 1.13/1.50 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 1.13/1.50 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 1.13/1.50 'tc_prod'( Y, Y ) ) ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 1.13/1.50 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 1.13/1.50 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_OImage'( X,
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.13/1.50 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.50 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 1.13/1.50 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 1.13/1.50 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 1.13/1.50 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 1.13/1.50 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 1.13/1.50 'tc_prod'( Y, Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 1.13/1.50 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 1.13/1.50 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 1.13/1.50 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 1.13/1.50 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 1.13/1.50 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 1.13/1.50 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Otrancl'(
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 1.13/1.50 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 1.13/1.50 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.13/1.50 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 1.13/1.50 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 1.13/1.50 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 1.13/1.50 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 1.13/1.50 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 1.13/1.50 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 1.13/1.50 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 1.13/1.50 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 1.13/1.50 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 1.13/1.50 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 1.13/1.50 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 1.13/1.50 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 1.13/1.50 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 1.13/1.50 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 1.13/1.50 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 1.13/1.50 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 1.13/1.50 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 1.13/1.50 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 1.13/1.50 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 1.13/1.50 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 1.13/1.50 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 1.13/1.50 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 1.13/1.50 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'(
% 1.13/1.50 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ),
% 1.13/1.50 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 1.13/1.50 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 1.13/1.50 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 1.13/1.50 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 1.13/1.50 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 1.13/1.50 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 1.13/1.50 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 1.13/1.50 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 1.13/1.50 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 1.13/1.50 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 1.13/1.50 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 1.13/1.50 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 1.13/1.50 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 1.13/1.50 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 1.13/1.50 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 1.13/1.50 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 1.13/1.50 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 1.13/1.50 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 1.13/1.50 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 1.13/1.50 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 1.13/1.50 ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 1.13/1.50 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 1.13/1.50 T, T ) ), =( Y, Z ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 1.13/1.50 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), =( X, Z ), ~( 'c_in'( 'c_Pair'(
% 1.13/1.50 X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T )
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 1.13/1.50 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z,
% 1.13/1.50 U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 1.13/1.50 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 1.13/1.50 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y,
% 1.13/1.50 Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 1.13/1.50 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 1.13/1.50 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 1.13/1.50 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 1.13/1.50 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'(
% 1.13/1.50 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ),
% 1.13/1.50 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 1.13/1.50 , 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 1.13/1.50 , 't_a' ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 1.13/1.50 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 1.13/1.50 , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X
% 1.13/1.50 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ),
% 1.13/1.50 ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 1.13/1.50 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 1.13/1.50 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 1.13/1.50 ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 1.13/1.50 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 1.13/1.50 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X, Y, Z, T
% 1.13/1.50 , U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T, U ),
% 1.13/1.50 'tc_prod'( T, U ) ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.13/1.50 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.13/1.50 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.13/1.50 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 1.13/1.50 ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 1.13/1.50 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.13/1.50 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 1.13/1.50 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.13/1.50 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.13/1.50 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 1.13/1.50 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 1.13/1.50 Z ) ) ],
% 1.13/1.50 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 1.13/1.50 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 1.13/1.50 , Z ) ) ],
% 1.13/1.50 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.13/1.50 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.13/1.50 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.13/1.50 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 1.13/1.50 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 1.13/1.50 , X, 'tc_prod'( Z, Z ) ) ],
% 1.13/1.50 [ =( 'c_Set_Oimage'( 'c_snd'( X, Y ), Z, 'tc_prod'( X, Y ), Y ),
% 1.13/1.50 'c_Relation_ORange'( Z, X, Y ) ) ],
% 1.13/1.50 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 1.13/1.50 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 1.13/1.50 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 1.13/1.50 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ =( 'c_Set_Oimage'( 'c_fst'( X, Y ), Z, 'tc_prod'( X, Y ), X ),
% 1.13/1.50 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 1.13/1.50 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 1.13/1.50 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 1.13/1.50 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 1.13/1.50 ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 1.13/1.50 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 1.13/1.50 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 1.13/1.50 , 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 1.13/1.50 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.13/1.50 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 1.13/1.50 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.13/1.50 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.13/1.50 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 1.13/1.50 X, U ), W ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 1.13/1.50 X, U ), W ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.13/1.50 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 1.13/1.50 , T ) ) ) ],
% 1.13/1.50 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 1.13/1.50 , Z, T ) ) ],
% 1.13/1.50 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 1.13/1.50 , Z, T ) ) ],
% 1.13/1.50 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 1.13/1.50 , U ), U ) ],
% 1.13/1.50 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 1.13/1.50 , U ), U ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 1.13/1.50 Y, Z ) ) ],
% 1.13/1.50 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 1.13/1.50 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.13/1.50 'c_Relation_Osym'( X, Y ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 1.13/1.50 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 1.13/1.50 'c_Relation_Otrans'( X, Y ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.13/1.50 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 1.13/1.50 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 1.13/1.50 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 1.13/1.50 , T ), T ) ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 1.13/1.50 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.13/1.50 'c_Relation_Osym'( X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.13/1.50 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 1.13/1.50 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 1.13/1.50 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 1.13/1.50 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.13/1.50 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 1.13/1.50 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 1.13/1.50 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 1.13/1.50 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 1.13/1.50 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 1.13/1.50 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 1.13/1.50 'c_Relation_Osym'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 1.13/1.50 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 1.13/1.50 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 1.13/1.50 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 1.13/1.50 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 1.13/1.50 Y ) ],
% 1.13/1.50 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.13/1.50 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 1.13/1.50 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 1.13/1.50 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.13/1.50 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.13/1.50 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.13/1.50 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 1.13/1.50 X, Y ), X, Y, Y, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.13/1.50 'c_Relation_Osym'( X, Z ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.13/1.50 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 1.13/1.50 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.13/1.50 'c_Relation_Otrans'( X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 1.13/1.50 'c_Relation_OId'( X ) ) ],
% 1.13/1.50 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.13/1.50 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 1.13/1.50 , T, U, V0 ), Z, T, V0 ) ) ],
% 1.13/1.50 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 1.13/1.50 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.13/1.50 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 1.13/1.50 , Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.13/1.50 'c_Relation_Otrans'( X, Z ) ) ],
% 1.13/1.50 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 1.13/1.50 'c_Relation_OId__on'( X, Y ) ) ],
% 1.13/1.50 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 1.13/1.50 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 1.13/1.50 , Y ), X, Y ) ],
% 1.13/1.50 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 1.13/1.50 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.13/1.50 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 1.13/1.50 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 1.13/1.50 ],
% 1.13/1.50 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 1.13/1.50 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 1.13/1.50 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 1.13/1.50 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.13/1.50 X ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 1.13/1.50 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 1.13/1.50 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 1.13/1.50 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.13/1.50 'c_Relation_Oantisym'( X, Y ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.13/1.50 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 1.13/1.50 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 1.13/1.50 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 1.13/1.50 Y, Z ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.13/1.50 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.13/1.50 Y, Y ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 1.13/1.50 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 1.13/1.50 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 1.13/1.50 ],
% 1.13/1.50 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 1.13/1.50 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 1.13/1.50 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 1.13/1.50 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 1.13/1.50 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 1.13/1.50 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.13/1.50 'c_Relation_ORange'( X, Y, Z ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 1.13/1.50 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 1.13/1.50 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 1.13/1.50 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 1.13/1.50 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 1.13/1.50 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 1.13/1.50 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 1.13/1.50 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 1.13/1.50 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 1.13/1.50 ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 1.13/1.50 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 1.13/1.50 , T ), T ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 1.13/1.50 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.13/1.50 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.13/1.50 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.13/1.50 [ 'c_Arrow__Order__Mirabelle_OIIA'( 'v_F' ) ],
% 1.13/1.50 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( 'v_F' ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 1.13/1.50 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 1.13/1.50 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 1.13/1.50 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 1.13/1.50 ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 1.13/1.50 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 1.13/1.50 ), U ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 1.13/1.50 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 1.13/1.50 't_a' ), 't_a' ) ) ],
% 1.13/1.50 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 1.13/1.50 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 1.13/1.50 T, Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 1.13/1.50 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 1.13/1.50 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 1.13/1.50 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 1.13/1.50 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 1.13/1.50 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 1.13/1.50 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 1.13/1.50 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 1.13/1.50 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 1.13/1.50 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 1.13/1.50 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 1.13/1.50 ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 1.13/1.50 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 1.13/1.50 't_a' ), 't_a' ) ) ],
% 1.13/1.50 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 1.13/1.50 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 1.13/1.50 V0, 'tc_prod'( T, U ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 1.13/1.50 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 1.13/1.50 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 1.13/1.50 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 1.13/1.50 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 1.13/1.50 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 1.13/1.50 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 1.13/1.50 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X,
% 1.13/1.50 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 1.13/1.50 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 1.13/1.50 Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 1.13/1.50 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 1.13/1.50 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 1.13/1.50 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.13/1.50 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 1.13/1.50 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 1.13/1.50 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 1.13/1.50 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 1.13/1.50 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 1.13/1.50 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 1.13/1.50 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 1.13/1.50 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( hBOOL( hAPP(
% 1.13/1.50 hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 1.13/1.50 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 1.13/1.50 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.13/1.50 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 1.13/1.50 Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.13/1.50 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 1.13/1.50 Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 1.13/1.50 Z ) ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 1.13/1.50 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 1.13/1.50 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 1.13/1.50 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 1.13/1.50 Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 1.13/1.50 , 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.13/1.50 ), 'tc_prod'( Y, Y ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.13/1.50 ), 'tc_prod'( Y, Y ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 1.13/1.50 T, Z ) ) ],
% 1.13/1.50 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_Relation_Oantisym'( T, Z ) ) ],
% 1.13/1.50 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.13/1.50 'c_Relation_Oantisym'( T, Z ) ) ],
% 1.13/1.50 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 1.13/1.50 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 1.13/1.50 ) ],
% 1.13/1.50 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 1.13/1.50 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 1.13/1.50 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 1.13/1.50 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 1.13/1.50 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 1.13/1.50 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 1.13/1.50 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 1.13/1.50 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 1.13/1.50 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 1.13/1.50 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 1.13/1.50 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 1.13/1.50 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 1.13/1.50 , Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 1.13/1.50 , Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 1.13/1.50 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 1.13/1.50 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 1.13/1.50 Z, V0 ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 1.13/1.50 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.13/1.50 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.13/1.50 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 1.13/1.50 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.13/1.50 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 1.13/1.50 ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.13/1.50 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 1.13/1.50 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.13/1.50 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 1.13/1.50 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.13/1.50 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.13/1.50 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.13/1.50 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.13/1.50 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.13/1.50 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.13/1.50 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.13/1.50 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.13/1.50 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 1.13/1.50 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.13/1.50 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 1.13/1.50 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 1.13/1.50 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.13/1.50 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.13/1.50 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 , =( X, Y ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 1.13/1.50 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 1.13/1.50 , Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 1.13/1.50 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 1.13/1.50 , Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 1.13/1.50 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 1.13/1.50 Y, Z ), Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 1.13/1.50 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 1.13/1.50 Y, Z ), Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 1.13/1.50 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 1.13/1.50 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 1.13/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 1.13/1.50 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 1.13/1.50 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 1.13/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 1.13/1.50 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 1.13/1.50 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 1.13/1.50 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 1.13/1.50 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 1.13/1.50 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 1.13/1.50 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 1.13/1.50 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 1.13/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 1.13/1.50 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 1.13/1.50 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 1.13/1.50 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 1.13/1.50 ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 1.13/1.50 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 1.13/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 1.13/1.50 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 1.13/1.50 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 1.13/1.50 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 1.13/1.50 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 1.13/1.50 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.13/1.50 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__CHAINED__1'( W, Z,
% 1.13/1.50 T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 hAPP( W, 'v_sko__CHAINED__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 1.13/1.50 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__CHAINED__1'( W, Z,
% 1.13/1.50 T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 hAPP( W, 'v_sko__CHAINED__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 1.13/1.50 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a_H____',
% 1.13/1.50 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P_H____', X ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 1.13/1.50 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ 'c_in'( 'v_P_H____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'tc_bool' ) ) ) ],
% 1.13/1.50 [ 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 'tc_bool' ) ) ) ],
% 1.13/1.50 [ ~( =( 'v_b____', 'v_a_H____' ) ) ],
% 1.13/1.50 [ ~( =( 'v_a____', 'v_b_H____' ) ) ],
% 1.13/1.50 [ ~( =( 'v_a_H____', 'v_b_H____' ) ) ],
% 1.13/1.50 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 1.13/1.50 [ ~( 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 hAPP( 'v_F', 'v_P_H____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt'
% 1.13/1.50 , 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a____'
% 1.13/1.50 , 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', 'v_P____' ), 'tc_prod'(
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.13/1.50 ) ],
% 1.13/1.50 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.13/1.50 hAPP( 'v_F', 'v_P____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( 'v_a_H____',
% 1.13/1.50 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', 'v_P_H____' ),
% 1.13/1.50 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.13/1.50 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 1.13/1.50 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.50 'class_Lattices_Olattice'( Y ) ) ],
% 1.13/1.50 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.50 'class_Lattices_Olattice'( Y ) ) ],
% 1.13/1.50 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.50 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.13/1.50 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.50 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.13/1.50 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.50 'class_Orderings_Opreorder'( Y ) ) ],
% 1.13/1.50 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.50 'class_Lattices_Olattice'( Y ) ) ],
% 1.13/1.50 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.13/1.50 'class_Orderings_Oorder'( Y ) ) ],
% 1.13/1.50 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.13/1.50 Y ) ) ],
% 1.13/1.50 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.13/1.50 ,
% 1.13/1.50 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.13/1.50 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.13/1.50 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.13/1.50 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.13/1.50 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.13/1.50 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.13/1.50 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.13/1.50 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.13/1.50 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.13/1.50 [ 'c_fequal'( X, X, Y ) ],
% 1.13/1.50 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.13/1.50 ] .
% 1.13/1.50
% 1.13/1.50
% 1.13/1.50 percentage equality = 0.239470, percentage horn = 0.880328
% 1.13/1.50 This is a problem with some equality
% 1.13/1.50
% 1.13/1.50
% 1.13/1.50
% 1.13/1.50 Options Used:
% 1.13/1.50
% 1.13/1.50 useres = 1
% 1.13/1.50 useparamod = 1
% 1.13/1.50 useeqrefl = 1
% 1.13/1.50 useeqfact = 1
% 1.13/1.50 usefactor = 1
% 1.13/1.50 usesimpsplitting = 0
% 1.13/1.50 usesimpdemod = 5
% 1.13/1.50 usesimpres = 3
% 1.13/1.50
% 1.13/1.50 resimpinuse = 1000
% 1.13/1.50 resimpclauses = 20000
% 1.13/1.50 substype = eqrewr
% 1.13/1.50 backwardsubs = 1
% 1.13/1.50 selectoldest = 5
% 1.13/1.50
% 1.13/1.50 litorderings [0] = split
% 1.13/1.50 litorderings [1] = extend the termordering, first sorting on arguments
% 1.13/1.50
% 1.13/1.50 termordering = kbo
% 1.13/1.50
% 1.13/1.50 litapriori = 0
% 1.13/1.50 termapriori = 1
% 1.13/1.50 litaposteriori = 0
% 1.13/1.50 termaposteriori = 0
% 1.13/1.50 demodaposteriori = 0
% 1.13/1.50 ordereqreflfact = 0
% 1.13/1.50
% 1.13/1.50 litselect = negord
% 1.13/1.50
% 1.13/1.50 maxweight = 15
% 1.13/1.50 maxdepth = 30000
% 1.13/1.50 maxlength = 115
% 1.13/1.50 maxnrvars = 195
% 1.13/1.50 excuselevel = 1
% 1.13/1.50 increasemaxweight = 1
% 1.13/1.50
% 1.13/1.50 maxselected = 10000000
% 1.13/1.50 maxnrclauses = 10000000
% 1.13/1.50
% 1.13/1.50 showgenerated = 0
% 1.13/1.50 showkept = 0
% 1.13/1.50 showselected = 0
% 1.13/1.50 showdeleted = 0
% 1.13/1.50 showresimp = 1
% 1.13/1.50 showstatus = 2000
% 1.13/1.50
% 1.13/1.50 prologoutput = 1
% 1.13/1.50 nrgoals = 5000000
% 1.13/1.50 totalproof = 1
% 1.13/1.50
% 1.13/1.50 Symbols occurring in the translation:
% 1.13/1.50
% 1.13/1.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.13/1.50 . [1, 2] (w:1, o:104, a:1, s:1, b:0),
% 1.13/1.50 ! [4, 1] (w:0, o:82, a:1, s:1, b:0),
% 1.13/1.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.13/1.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.13/1.50 'c_Set_Oinsert' [42, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.13/1.50 'tc_bool' [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.13/1.50 'tc_fun' [45, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.13/1.50 'c_Lattices_Olower__semilattice__class_Oinf' [46, 3] (w:1, o:164, a:1
% 1.13/1.50 , s:1, b:0),
% 1.13/1.50 'c_Orderings_Obot__class_Obot' [47, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.13/1.50 'c_HOL_Ominus__class_Ominus' [48, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.13/1.50 'class_Orderings_Obot' [49, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.13/1.50 'c_lessequals' [51, 3] (w:1, o:166, a:1, s:1, b:0),
% 1.13/1.50 'tc_prod' [52, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_Orel__comp' [56, 5] (w:1, o:208, a:1, s:1, b:0),
% 1.13/1.50 'c_Lattices_Oupper__semilattice__class_Osup' [57, 3] (w:1, o:167, a:1
% 1.13/1.50 , s:1, b:0),
% 1.13/1.50 'c_Set_Oimage' [60, 4] (w:1, o:189, a:1, s:1, b:0),
% 1.13/1.50 'c_Transitive__Closure_Ortrancl' [61, 2] (w:1, o:131, a:1, s:1, b:0)
% 1.13/1.50 ,
% 1.13/1.50 'c_snd' [63, 2] (w:1, o:132, a:1, s:1, b:0),
% 1.13/1.50 hAPP [65, 2] (w:1, o:133, a:1, s:1, b:0),
% 1.13/1.50 'c_fst' [67, 2] (w:1, o:134, a:1, s:1, b:0),
% 1.13/1.50 hBOOL [71, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [73, 3] (w:1, o:
% 1.13/1.50 168, a:1, s:1, b:0),
% 1.13/1.50 'c_Wellfounded_Owf' [74, 2] (w:1, o:135, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_ORange' [75, 3] (w:1, o:157, a:1, s:1, b:0),
% 1.13/1.50 'c_in' [77, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.13/1.50 'c_COMBK' [78, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.13/1.50 'c_Product__Type_OSigma' [79, 4] (w:1, o:190, a:1, s:1, b:0),
% 1.13/1.50 'c_Transitive__Closure_Otrancl' [81, 2] (w:1, o:136, a:1, s:1, b:0),
% 1.13/1.50
% 1.13/1.50 'c_Relation_ODomain' [84, 3] (w:1, o:158, a:1, s:1, b:0),
% 1.13/1.50 'class_Lattices_Odistrib__lattice' [85, 1] (w:1, o:90, a:1, s:1, b:0)
% 1.13/1.50 ,
% 1.13/1.50 'c_Relation_OId__on' [88, 2] (w:1, o:137, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_Orefl__on' [89, 3] (w:1, o:159, a:1, s:1, b:0),
% 1.13/1.50 'class_Lattices_Oupper__semilattice' [90, 1] (w:1, o:91, a:1, s:1, b:
% 1.13/1.50 0),
% 1.13/1.50 'c_Relation_OImage' [93, 4] (w:1, o:187, a:1, s:1, b:0),
% 1.13/1.50 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [95, 3] (w:1, o:171, a:
% 1.13/1.50 1, s:1, b:0),
% 1.13/1.50 'c_Pair' [96, 4] (w:1, o:191, a:1, s:1, b:0),
% 1.13/1.50 'class_OrderedGroup_Oab__group__add' [99, 1] (w:1, o:92, a:1, s:1, b:
% 1.13/1.50 0),
% 1.13/1.50 'class_Lattices_Olattice' [102, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.13/1.50 'class_Lattices_Olower__semilattice' [103, 1] (w:1, o:94, a:1, s:1
% 1.13/1.50 , b:0),
% 1.13/1.50 'c_Wellfounded_Oacyclic' [104, 2] (w:1, o:138, a:1, s:1, b:0),
% 1.13/1.50 'c_Equiv__Relations_Oequiv' [105, 3] (w:1, o:172, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_Osym' [106, 2] (w:1, o:139, a:1, s:1, b:0),
% 1.13/1.50 'class_Lattices_Obounded__lattice' [107, 1] (w:1, o:95, a:1, s:1, b:0
% 1.13/1.50 ),
% 1.13/1.50 'c_Relation_Otrans' [109, 2] (w:1, o:140, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [111, 3] (w:1, o:
% 1.13/1.50 173, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_Oconverse' [112, 3] (w:1, o:160, a:1, s:1, b:0),
% 1.13/1.50 'class_Orderings_Oorder' [113, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.13/1.50 'c_split' [114, 4] (w:1, o:192, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_Oantisym' [115, 2] (w:1, o:141, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_Ototal__on' [117, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.13/1.50 'c_Order__Relation_Ostrict__linear__order__on' [118, 3] (w:1, o:174
% 1.13/1.50 , a:1, s:1, b:0),
% 1.13/1.50 'c_Wellfounded_Oacc' [121, 2] (w:1, o:142, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [123, 3]
% 1.13/1.50 (w:1, o:175, a:1, s:1, b:0),
% 1.13/1.50 'c_List_Osko__Recdef__Xcuts__eq__1__1' [125, 6] (w:1, o:213, a:1, s:1
% 1.13/1.50 , b:0),
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% 1.13/1.50 'class_HOL_Oord' [127, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.13/1.50 'class_Orderings_Opreorder' [128, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_Osingle__valued' [129, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.13/1.50 'class_OrderedGroup_Opordered__ab__group__add' [130, 1] (w:1, o:99
% 1.13/1.50 , a:1, s:1, b:0),
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% 1.13/1.50 'c_Relation_Oirrefl' [133, 2] (w:1, o:143, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 1.13/1.50 [134, 4] (w:1, o:193, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 1.13/1.50 [135, 4] (w:1, o:194, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [136, 4
% 1.13/1.50 ] (w:1, o:195, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [137, 4
% 1.13/1.50 ] (w:1, o:196, a:1, s:1, b:0),
% 1.13/1.50 'c_Relation_OId' [138, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [139, 4]
% 1.13/1.50 (w:1, o:197, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [140, 4]
% 1.13/1.50 (w:1, o:198, a:1, s:1, b:0),
% 1.13/1.50 'c_Nitpick_Orefl_H' [141, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.13/1.50 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [142, 2] (w:1, o:145
% 1.13/1.50 , a:1, s:1, b:0),
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% 1.13/1.50 146, a:1, s:1, b:0),
% 1.13/1.50 'v_r' [144, 0] (w:1, o:60, a:1, s:1, b:0),
% 1.13/1.50 't_a' [145, 0] (w:1, o:61, a:1, s:1, b:0),
% 1.13/1.50 't_b' [146, 0] (w:1, o:62, a:1, s:1, b:0),
% 1.13/1.50 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [147, 3] (w:1, o:176
% 6.32/6.71 , a:1, s:1, b:0),
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% 6.32/6.71 , o:147, a:1, s:1, b:0),
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% 6.32/6.71 148, a:1, s:1, b:0),
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% 6.32/6.71 , s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [151, 7] (w:1
% 6.32/6.71 , o:216, a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [152
% 6.32/6.71 , 2] (w:1, o:150, a:1, s:1, b:0),
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% 6.32/6.71 4] (w:1, o:199, a:1, s:1, b:0),
% 6.32/6.71 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [156, 3] (w:1, o:177
% 6.32/6.71 , a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [157, 4]
% 6.32/6.71 (w:1, o:200, a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [159, 4]
% 6.32/6.71 (w:1, o:201, a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [160
% 6.32/6.71 , 4] (w:1, o:202, a:1, s:1, b:0),
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% 6.32/6.71 178, a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [162, 5] (w:1, o:
% 6.32/6.71 210, a:1, s:1, b:0),
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% 6.32/6.71 'c_Wellfounded_OwfP' [164, 2] (w:1, o:151, a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [166, 5] (w:1, o:211
% 6.32/6.71 , a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [167, 3] (w:1
% 6.32/6.71 , o:180, a:1, s:1, b:0),
% 6.32/6.71 'v_sko__Wellfounded__Xacc__Xinducts__1' [168, 2] (w:1, o:152, a:1, s:
% 6.32/6.71 1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [169, 3]
% 6.32/6.71 (w:1, o:181, a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [170, 5] (w:1, o:
% 6.32/6.71 212, a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [171, 3] (w:
% 6.32/6.71 1, o:182, a:1, s:1, b:0),
% 6.32/6.71 'c_Relation_Oinv__image' [172, 4] (w:1, o:188, a:1, s:1, b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [174, 3]
% 6.32/6.71 (w:1, o:183, a:1, s:1, b:0),
% 6.32/6.71 'v_sko__Wellfounded__Xacc__Xinduct__1' [175, 2] (w:1, o:153, a:1, s:1
% 6.32/6.71 , b:0),
% 6.32/6.71 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [176, 3] (w:1, o:
% 6.32/6.71 184, a:1, s:1, b:0),
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% 6.32/6.71 , o:185, a:1, s:1, b:0),
% 6.32/6.71 'c_Equiv__Relations_Ocongruent' [179, 4] (w:1, o:203, a:1, s:1, b:0)
% 6.32/6.71 ,
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% 6.32/6.71 ,
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% 6.32/6.71 ,
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% 6.32/6.71 , b:0),
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% 6.32/6.71 , a:1, s:1, b:0),
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% 6.32/6.71 , a:1, s:1, b:0),
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% 6.32/6.71 206, a:1, s:1, b:0),
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% 6.32/6.71 207, a:1, s:1, b:0),
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% 6.32/6.71 ,
% 6.32/6.71 'c_Arrow__Order__Mirabelle_Omktop' [196, 2] (w:1, o:154, a:1, s:1, b:
% 6.32/6.71 0),
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% 6.32/6.71 0),
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% 6.32/6.71 156, a:1, s:1, b:0),
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% 6.32/6.71 'c_Arrow__Order__Mirabelle_OProf' [203, 0] (w:1, o:69, a:1, s:1, b:0)
% 6.32/6.71 ,
% 6.32/6.71 'tc_Arrow__Order__Mirabelle_Oindi' [204, 0] (w:1, o:70, a:1, s:1, b:0
% 6.32/6.71 ),
% 6.32/6.71 'v_a____' [205, 0] (w:1, o:71, a:1, s:1, b:0),
% 6.32/6.71 'v_b____' [206, 0] (w:1, o:73, a:1, s:1, b:0),
% 6.32/6.71 'v_P____' [207, 0] (w:1, o:74, a:1, s:1, b:0),
% 6.32/6.71 'v_a_H____' [209, 0] (w:1, o:72, a:1, s:1, b:0),
% 6.32/6.71 'v_b_H____' [210, 0] (w:1, o:76, a:1, s:1, b:0),
% 24.69/25.13 'v_P_H____' [211, 0] (w:1, o:77, a:1, s:1, b:0),
% 24.69/25.13 'c_fequal' [214, 3] (w:1, o:186, a:1, s:1, b:0).
% 24.69/25.13
% 24.69/25.13
% 24.69/25.13 Starting Search:
% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13
% 24.69/25.13 Intermediate Status:
% 24.69/25.13 Generated: 5763
% 24.69/25.13 Kept: 2140
% 24.69/25.13 Inuse: 135
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% 24.69/25.13 Deletedinuse: 1
% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13
% 24.69/25.13 Intermediate Status:
% 24.69/25.13 Generated: 13673
% 24.69/25.13 Kept: 4148
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% 24.69/25.13 Deletedinuse: 1
% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13
% 24.69/25.13 Intermediate Status:
% 24.69/25.13 Generated: 20600
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% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13
% 24.69/25.13 Intermediate Status:
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% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13
% 24.69/25.13 Intermediate Status:
% 24.69/25.13 Generated: 39732
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% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.69/25.13 Done
% 24.69/25.13
% 24.69/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
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% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13 Resimplifying clauses:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
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% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
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% 24.77/25.13
% 24.77/25.13 Resimplifying clauses:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
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% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
% 24.77/25.13 Generated: 342262
% 24.77/25.13 Kept: 50622
% 24.77/25.13 Inuse: 1228
% 24.77/25.13 Deleted: 684
% 24.77/25.13 Deletedinuse: 26
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
% 24.77/25.13 Generated: 351149
% 24.77/25.13 Kept: 52727
% 24.77/25.13 Inuse: 1236
% 24.77/25.13 Deleted: 703
% 24.77/25.13 Deletedinuse: 28
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13 Resimplifying inuse:
% 24.77/25.13 Done
% 24.77/25.13
% 24.77/25.13
% 24.77/25.13 Intermediate Status:
% 24.77/25.13 Generated: 367224
% 281.79/282.33 Kept: 54951
% 281.79/282.33 Inuse: 1271
% 281.79/282.33 Deleted: 703
% 281.79/282.33 Deletedinuse: 28
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 387044
% 281.79/282.33 Kept: 57623
% 281.79/282.33 Inuse: 1299
% 281.79/282.33 Deleted: 705
% 281.79/282.33 Deletedinuse: 28
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 401266
% 281.79/282.33 Kept: 59628
% 281.79/282.33 Inuse: 1348
% 281.79/282.33 Deleted: 707
% 281.79/282.33 Deletedinuse: 29
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying clauses:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 416340
% 281.79/282.33 Kept: 61740
% 281.79/282.33 Inuse: 1395
% 281.79/282.33 Deleted: 1242
% 281.79/282.33 Deletedinuse: 32
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 427629
% 281.79/282.33 Kept: 63761
% 281.79/282.33 Inuse: 1446
% 281.79/282.33 Deleted: 1244
% 281.79/282.33 Deletedinuse: 34
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 440336
% 281.79/282.33 Kept: 65928
% 281.79/282.33 Inuse: 1500
% 281.79/282.33 Deleted: 1248
% 281.79/282.33 Deletedinuse: 38
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 456470
% 281.79/282.33 Kept: 68129
% 281.79/282.33 Inuse: 1539
% 281.79/282.33 Deleted: 1255
% 281.79/282.33 Deletedinuse: 44
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 473354
% 281.79/282.33 Kept: 71351
% 281.79/282.33 Inuse: 1554
% 281.79/282.33 Deleted: 1256
% 281.79/282.33 Deletedinuse: 45
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 487426
% 281.79/282.33 Kept: 74052
% 281.79/282.33 Inuse: 1559
% 281.79/282.33 Deleted: 1256
% 281.79/282.33 Deletedinuse: 45
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 500452
% 281.79/282.33 Kept: 76730
% 281.79/282.33 Inuse: 1560
% 281.79/282.33 Deleted: 1260
% 281.79/282.33 Deletedinuse: 45
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 525612
% 281.79/282.33 Kept: 81153
% 281.79/282.33 Inuse: 1585
% 281.79/282.33 Deleted: 1260
% 281.79/282.33 Deletedinuse: 45
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying clauses:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 541807
% 281.79/282.33 Kept: 84492
% 281.79/282.33 Inuse: 1595
% 281.79/282.33 Deleted: 1619
% 281.79/282.33 Deletedinuse: 45
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 558383
% 281.79/282.33 Kept: 87779
% 281.79/282.33 Inuse: 1603
% 281.79/282.33 Deleted: 1621
% 281.79/282.33 Deletedinuse: 45
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 571056
% 281.79/282.33 Kept: 89817
% 281.79/282.33 Inuse: 1631
% 281.79/282.33 Deleted: 1628
% 281.79/282.33 Deletedinuse: 52
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 587031
% 281.79/282.33 Kept: 92947
% 281.79/282.33 Inuse: 1633
% 281.79/282.33 Deleted: 1630
% 281.79/282.33 Deletedinuse: 54
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 609563
% 281.79/282.33 Kept: 97733
% 281.79/282.33 Inuse: 1658
% 281.79/282.33 Deleted: 1631
% 281.79/282.33 Deletedinuse: 55
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 620861
% 281.79/282.33 Kept: 100040
% 281.79/282.33 Inuse: 1682
% 281.79/282.33 Deleted: 1633
% 281.79/282.33 Deletedinuse: 56
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying clauses:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 633162
% 281.79/282.33 Kept: 102143
% 281.79/282.33 Inuse: 1712
% 281.79/282.33 Deleted: 2025
% 281.79/282.33 Deletedinuse: 56
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 650478
% 281.79/282.33 Kept: 104235
% 281.79/282.33 Inuse: 1767
% 281.79/282.33 Deleted: 2026
% 281.79/282.33 Deletedinuse: 57
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 665970
% 281.79/282.33 Kept: 106288
% 281.79/282.33 Inuse: 1817
% 281.79/282.33 Deleted: 2032
% 281.79/282.33 Deletedinuse: 63
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 683115
% 281.79/282.33 Kept: 108526
% 281.79/282.33 Inuse: 1866
% 281.79/282.33 Deleted: 2037
% 281.79/282.33 Deletedinuse: 67
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 694373
% 281.79/282.33 Kept: 110599
% 281.79/282.33 Inuse: 1891
% 281.79/282.33 Deleted: 2039
% 281.79/282.33 Deletedinuse: 69
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 707726
% 281.79/282.33 Kept: 112901
% 281.79/282.33 Inuse: 1916
% 281.79/282.33 Deleted: 2039
% 281.79/282.33 Deletedinuse: 69
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 732745
% 281.79/282.33 Kept: 117533
% 281.79/282.33 Inuse: 1936
% 281.79/282.33 Deleted: 2041
% 281.79/282.33 Deletedinuse: 71
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33 Resimplifying inuse:
% 281.79/282.33 Done
% 281.79/282.33
% 281.79/282.33
% 281.79/282.33 Intermediate Status:
% 281.79/282.33 Generated: 758077
% 281.79/282.33 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------