TSTP Solution File: SWV934-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV934-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:18 EDT 2022
% Result : Timeout 300.02s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV934-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 15 03:39:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.97/1.38 *** allocated 10000 integers for termspace/termends
% 0.97/1.38 *** allocated 10000 integers for clauses
% 0.97/1.38 *** allocated 10000 integers for justifications
% 0.97/1.38 *** allocated 15000 integers for termspace/termends
% 0.97/1.38 *** allocated 22500 integers for termspace/termends
% 0.97/1.38 Bliksem 1.12
% 0.97/1.38
% 0.97/1.38
% 0.97/1.38 Automatic Strategy Selection
% 0.97/1.38
% 0.97/1.38 Clauses:
% 0.97/1.38 [
% 0.97/1.38 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.97/1.38 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.97/1.38 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.97/1.38 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.38 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.38 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.38 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.97/1.38 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), T ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.97/1.38 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.38 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 0.97/1.38 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 0.97/1.38 ],
% 0.97/1.38 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 0.97/1.38 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 0.97/1.38 ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.97/1.38 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.97/1.38 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.38 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.38 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.38 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.97/1.38 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.97/1.38 ~( 'c_in'( W, T, U ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.97/1.38 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.97/1.38 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.97/1.38 'c_in'( W, Y, Z ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.97/1.38 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.97/1.38 ) ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.97/1.38 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.97/1.38 'c_in'( U, T, Z ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.38 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.97/1.38 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.97/1.38 ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.97/1.38 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.97/1.38 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.38 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.38 , X ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.97/1.38 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.97/1.38 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.97/1.38 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.97/1.38 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ) ), X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.97/1.38 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.97/1.38 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.97/1.38 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.97/1.38 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ =( 'c_Relation_OImage'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.97/1.38 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.38 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.97/1.38 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.38 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.97/1.38 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.97/1.38 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.38 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.97/1.38 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, T ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.38 , T, X ) ) ), =( Y, Z ) ],
% 0.97/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.97/1.38 , T, X ) ) ), =( Z, T ) ],
% 0.97/1.38 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.97/1.38 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.38 ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.38 ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.97/1.38 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.97/1.38 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.97/1.38 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.38 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.97/1.38 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.97/1.38 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.38 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.38 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.38 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.38 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.97/1.38 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.97/1.38 X, T ), Y ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.97/1.38 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.97/1.38 , Z, T ), Z ) ) ],
% 0.97/1.38 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.97/1.38 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.97/1.38 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.97/1.38 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.97/1.38 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.38 ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.97/1.38 ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.97/1.38 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.97/1.38 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.97/1.38 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.97/1.38 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.38 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.38 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.97/1.38 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.97/1.38 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.97/1.38 ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.97/1.38 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.97/1.38 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.97/1.38 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.97/1.38 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.97/1.38 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.97/1.38 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.97/1.38 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.38 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.38 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.97/1.38 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.97/1.38 X, 'tc_bool' ) ), Y ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ) ), X ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( X, 'c_Expr_Oexp_OVal'( Y, 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 0.97/1.38 , ~( 'c_BigStep_Oeval'( Z, 'c_Expr_Oexp_OVal'( Y, 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ) ), T, X, U ) ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.97/1.38 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.97/1.38 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.97/1.38 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.97/1.38 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.97/1.38 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.97/1.38 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.97/1.38 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.38 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.97/1.38 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.38 ) ), Y ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.97/1.38 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.97/1.38 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.97/1.38 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.97/1.38 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.97/1.38 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.97/1.38 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.97/1.38 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.97/1.38 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.97/1.38 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.97/1.38 [ 'c_BigStep_Oeval'( X, 'c_Expr_Oexp_OVal'( Y, 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ) ), Z, 'c_Expr_Oexp_OVal'( Y, 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ) ), Z ) ],
% 0.97/1.38 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.97/1.38 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.97/1.38 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.97/1.38 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.97/1.38 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.97/1.38 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.38 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.38 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.97/1.38 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.97/1.38 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.97/1.38 'c_lessequals'( Y, Z, X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.97/1.38 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.38 ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.97/1.38 ],
% 0.97/1.38 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.38 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.38 ],
% 0.97/1.38 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.97/1.38 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.97/1.38 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.38 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.97/1.38 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.38 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.38 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.38 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.38 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.97/1.38 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.97/1.38 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.97/1.38 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.38 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.97/1.38 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.97/1.38 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.97/1.38 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.97/1.38 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.38 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.97/1.38 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.38 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.97/1.38 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.38 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.97/1.38 ), 'tc_bool' ) ), X ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.97/1.38 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.97/1.38 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.97/1.38 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.97/1.38 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.38 'tc_bool' ) ), Y, X ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.38 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_Oconverse'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.97/1.38 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.97/1.38 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.97/1.38 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.97/1.38 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.97/1.38 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.97/1.38 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.38 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.38 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.97/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.97/1.38 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.97/1.38 Y, Z ) ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.97/1.38 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.97/1.38 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.97/1.38 X, X ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.38 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.97/1.38 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.97/1.38 , T ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.97/1.38 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.97/1.38 ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.97/1.38 , T ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.97/1.38 , Z ) ],
% 0.97/1.38 [ =( 'c_Relation_Oconverse'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.97/1.38 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.97/1.38 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.97/1.38 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.97/1.38 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.38 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.38 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.38 ) ],
% 0.97/1.38 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.97/1.38 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.97/1.38 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.38 ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_Orel__comp'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.97/1.38 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_Orel__comp'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.97/1.38 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.38 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 Z, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.38 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 T, Z, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.97/1.38 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.97/1.38 'c_lessequals'( Z, T, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.38 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 Z, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.38 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 T, Z, X ), X ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( X, Y ), ~( 'c_BigStep_Oeval'( Z, 'c_Expr_Oexp_OVal'( T,
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), Y, U, X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.97/1.38 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.97/1.38 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.38 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.38 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.97/1.38 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( hAPP( hAPP( 'c_WWellForm_Owwf__J__mdecl', X ), Y ), Z ) )
% 0.97/1.38 , ~( hBOOL( hAPP( hAPP( hAPP( 'c_JWellForm_Owf__J__mdecl', X ), Y ), Z )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.38 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.97/1.38 ) ), Z, X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.97/1.38 ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.97/1.38 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.97/1.38 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.97/1.38 'c_in'( X, T, Z ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.97/1.38 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), Y ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.97/1.38 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.97/1.38 Z, T ), T ) ) ],
% 0.97/1.38 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.97/1.38 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.97/1.38 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.97/1.38 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.97/1.38 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.97/1.38 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.97/1.38 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.97/1.38 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.97/1.38 U, W ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.97/1.38 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.97/1.38 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.97/1.38 , T ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.97/1.38 , T ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.97/1.38 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.97/1.38 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.38 ), Y ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.38 ), Y ) ) ],
% 0.97/1.38 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.97/1.38 ), Y ) ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.97/1.38 , Z ) ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.38 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.97/1.38 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.97/1.38 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.97/1.38 [ =( hAPP( 'c_snd'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), T ) ],
% 0.97/1.38 [ =( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, X, Y, Z ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.97/1.38 ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( W, T ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.97/1.38 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.97/1.38 , T, Z ) ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.97/1.38 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.97/1.38 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.97/1.38 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.97/1.38 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.97/1.38 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.97/1.38 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.97/1.38 , Z ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.97/1.38 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ) ), X ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.38 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.97/1.38 Y, X ), Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.38 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 T, X ), Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.97/1.38 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.97/1.38 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.38 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.97/1.38 Y, X ), Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.38 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.38 T, X ), Z, X ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.97/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.97/1.38 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.97/1.38 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.97/1.38 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.97/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.97/1.38 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.97/1.38 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.97/1.38 ],
% 0.97/1.38 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.97/1.38 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.97/1.38 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.97/1.38 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.97/1.38 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.97/1.38 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.97/1.38 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.97/1.38 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.97/1.38 T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.97/1.38 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.97/1.38 hAPP( X, T ) ) ) ],
% 0.97/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.97/1.38 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.97/1.38 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.97/1.38 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.38 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.38 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.97/1.38 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.97/1.38 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.97/1.38 'tc_bool' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.97/1.38 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.97/1.38 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.97/1.38 ) ],
% 0.97/1.38 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.97/1.38 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.97/1.38 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.97/1.38 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.97/1.38 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.97/1.38 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.97/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.97/1.38 'c_lessequals'( Z, Y, X ) ],
% 0.97/1.38 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.97/1.38 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.97/1.38 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.97/1.38 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.97/1.38 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.97/1.38 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.97/1.38 X, Z, T, U ),
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.97/1.38 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.97/1.38 , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.97/1.38 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.97/1.38 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.97/1.38 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.97/1.38 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.97/1.38 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.97/1.38 ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.97/1.38 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.97/1.38 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.97/1.38 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.97/1.38 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.97/1.38 Z ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.97/1.38 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.97/1.38 ],
% 0.97/1.38 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.97/1.38 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.97/1.38 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.97/1.38 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.97/1.38 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.97/1.38 T ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.97/1.38 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.97/1.38 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.97/1.38 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.97/1.38 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.97/1.38 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.97/1.38 U ) ],
% 0.97/1.38 [ =( 'c_Pair'( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), Z ), X
% 0.97/1.38 , Y ), Z ) ],
% 0.97/1.38 [ =( X, 'c_Pair'( hAPP( 'c_fst'( Y, Z ), X ), hAPP( 'c_snd'( Y, Z ), X )
% 0.97/1.38 , Y, Z ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) )
% 0.97/1.38 ), hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.97/1.38 hAPP( X, U ), T ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.97/1.38 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.97/1.38 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.97/1.38 ) ) ) ],
% 0.97/1.38 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.38 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.38 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.97/1.38 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.38 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.38 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.97/1.38 [ =( hAPP( 'c_split'( X, Y, Z, T ), U ), hAPP( hAPP( X, hAPP( 'c_fst'( Y
% 0.97/1.38 , Z ), U ) ), hAPP( 'c_snd'( Y, Z ), U ) ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.97/1.38 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.97/1.38 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.97/1.38 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.97/1.38 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.97/1.38 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.97/1.38 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.97/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.97/1.38 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.97/1.38 ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.38 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.38 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.97/1.38 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.38 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.97/1.38 ) ), Y ) ],
% 0.97/1.38 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.97/1.38 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.97/1.38 ) ), Y ) ],
% 0.97/1.38 [ 'c_Objects_Ohext'( X, Y ), ~( 'c_BigStep_Oeval'( Z, T, 'c_Pair'( X, U
% 0.97/1.38 , 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 0.97/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), W,
% 0.97/1.38 'c_Pair'( Y, V0, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.97/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 0.97/1.38 'tc_Value_Oval' ) ) ) ) ) ],
% 0.97/1.38 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.97/1.38 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.97/1.38 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.38 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.97/1.38 'tc_bool' ) ) ) ],
% 0.97/1.38 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.97/1.38 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.97/1.38 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.97/1.38 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.97/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.97/1.38 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.97/1.38 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.38 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.97/1.38 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.38 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.97/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.38 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.97/1.38 , 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.97/1.38 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.38 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.97/1.38 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.97/1.38 ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.97/1.38 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.97/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.97/1.38 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.97/1.38 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.97/1.38 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.97/1.38 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.97/1.38 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.97/1.38 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.97/1.38 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.97/1.38 ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.97/1.38 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.97/1.38 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.97/1.38 T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.97/1.38 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.97/1.38 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.97/1.38 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.97/1.38 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.97/1.38 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.97/1.38 'tc_prod'( Y, Y ) ) ) ],
% 0.97/1.38 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.97/1.38 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.97/1.38 'tc_prod'( Y, Y ) ) ],
% 0.97/1.38 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.97/1.38 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.97/1.38 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.38 [ =( 'c_Relation_OImage'( X,
% 0.97/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.97/1.38 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.97/1.38 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.97/1.38 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.97/1.38 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.97/1.38 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.97/1.38 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.97/1.38 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.97/1.38 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.97/1.38 [ 'c_BigStep_Oevals'( X, 'c_List_Olist_OCons'( Y, Z, 'tc_Expr_Oexp'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), T, 'c_List_Olist_OCons'(
% 0.97/1.38 'c_Expr_Oexp_OVal'( U, 'tc_List_Olist'( 'tc_String_Ochar' ) ), W,
% 0.97/1.38 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), V0 ), ~(
% 0.97/1.38 'c_BigStep_Oevals'( X, Z, V1, W, V0 ) ), ~( 'c_BigStep_Oeval'( X, Y, T,
% 0.97/1.38 'c_Expr_Oexp_OVal'( U, 'tc_List_Olist'( 'tc_String_Ochar' ) ), V1 ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.97/1.38 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.97/1.38 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.97/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.97/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.97/1.38 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.97/1.38 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.97/1.38 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.97/1.38 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.97/1.38 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.97/1.38 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.97/1.38 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.97/1.38 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.97/1.38 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.97/1.38 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.97/1.38 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.97/1.38 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.97/1.38 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.97/1.38 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.97/1.38 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.97/1.38 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X, Y, Z, T
% 0.97/1.38 , U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T, U ),
% 0.97/1.38 'tc_prod'( T, U ) ) ) ],
% 0.97/1.38 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.97/1.38 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.97/1.38 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.97/1.38 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.97/1.38 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.97/1.38 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 0.97/1.38 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 0.97/1.38 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.97/1.38 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'(
% 0.97/1.38 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ),
% 0.97/1.38 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 0.97/1.38 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.97/1.38 ) ],
% 0.97/1.38 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.97/1.38 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.97/1.38 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.97/1.38 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.97/1.38 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.97/1.38 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 0.97/1.38 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.97/1.38 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.97/1.38 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.97/1.38 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.97/1.38 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 0.97/1.38 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 0.97/1.38 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.97/1.38 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.97/1.38 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 0.97/1.38 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 0.97/1.38 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.38 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 0.97/1.38 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 0.97/1.38 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.97/1.38 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.97/1.38 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.97/1.38 ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.97/1.38 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.97/1.38 T, T ) ), =( Y, Z ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.97/1.38 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), =( X, Z ), ~( 'c_in'( 'c_Pair'(
% 0.97/1.38 X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T )
% 0.97/1.38 ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.97/1.38 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z,
% 0.97/1.38 U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.97/1.38 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.97/1.38 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y,
% 0.97/1.38 Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.97/1.38 ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.97/1.38 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.97/1.38 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.97/1.38 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.97/1.38 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'(
% 0.97/1.38 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ),
% 0.97/1.38 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 0.97/1.38 , 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 0.97/1.38 , 't_a' ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.97/1.38 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 0.97/1.38 , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X
% 0.97/1.38 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ),
% 0.97/1.38 ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.97/1.38 ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.97/1.38 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.97/1.38 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.97/1.38 ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.97/1.38 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.97/1.38 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.97/1.38 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.97/1.38 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.97/1.38 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.97/1.38 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.38 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.97/1.38 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.97/1.38 ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.97/1.38 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.38 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.97/1.38 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.97/1.38 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.38 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.97/1.38 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.97/1.38 , X, 'tc_prod'( Z, Z ) ) ],
% 0.97/1.38 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.38 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.97/1.38 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.97/1.38 , Z ) ) ],
% 0.97/1.38 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.97/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.97/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.97/1.38 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.97/1.38 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.97/1.38 Z ) ) ],
% 0.97/1.38 [ 'c_Relation_Otrans'( 'c_Wellfounded_Olex__prod'( X, Y, Z, T ),
% 0.97/1.38 'tc_prod'( Z, T ) ), ~( 'c_Relation_Otrans'( Y, T ) ), ~(
% 0.97/1.38 'c_Relation_Otrans'( X, Z ) ) ],
% 0.97/1.38 [ 'c_WellForm_Owf__prog'( 'c_WWellForm_Owwf__J__mdecl', X, 'tc_prod'(
% 0.97/1.38 'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ), ~( 'c_WellForm_Owf__prog'(
% 0.97/1.38 'c_JWellForm_Owf__J__mdecl', X, 'tc_prod'( 'tc_List_Olist'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ) ) ) ) ) ],
% 0.97/1.38 [ =( 'c_Set_Oimage'( 'c_snd'( X, Y ), Z, 'tc_prod'( X, Y ), Y ),
% 0.97/1.38 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.97/1.38 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.97/1.38 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.97/1.38 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.97/1.38 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.97/1.38 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.97/1.38 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.97/1.38 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.97/1.38 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.97/1.38 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.97/1.38 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.97/1.38 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.97/1.38 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.97/1.38 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.97/1.38 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.97/1.38 ~( hBOOL( hAPP( W, U ) ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.97/1.38 [ =( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( X, T, Y, Z ) ) ) ],
% 0.97/1.38 [ =( hAPP( 'c_fst'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), Z ) ],
% 0.97/1.38 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.97/1.38 X, U ), W ) ) ],
% 0.97/1.38 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.97/1.38 X, U ), W ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.97/1.38 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.97/1.38 , T ) ) ) ],
% 0.97/1.38 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.97/1.38 , Z, T ) ) ],
% 0.97/1.38 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.97/1.38 , Z, T ) ) ],
% 0.97/1.38 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.97/1.38 , U ), U ) ],
% 0.97/1.38 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.97/1.38 , U ), U ) ],
% 0.97/1.38 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.97/1.38 Y, Z ) ) ],
% 0.97/1.38 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.97/1.38 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.97/1.38 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.97/1.38 'c_Relation_Osym'( X, Y ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.97/1.38 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.97/1.38 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.97/1.38 'c_Relation_Otrans'( X, Y ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.97/1.38 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.97/1.38 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.97/1.38 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.97/1.38 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.97/1.38 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.97/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.97/1.38 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.97/1.38 , T ), T ) ) ],
% 0.97/1.38 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.97/1.38 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.97/1.38 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.97/1.38 'c_Relation_Osym'( X, Y ) ) ],
% 0.97/1.38 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.97/1.38 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.97/1.38 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.97/1.38 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_Objects_Ohext'( X, Y ), ~( 'c_BigStep_Oevals'( Z, T, 'c_Pair'( X, U
% 0.97/1.38 , 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 0.97/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 0.97/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), W,
% 0.97/1.38 'c_Pair'( Y, V0, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 0.97/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 0.97/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 0.97/1.38 'tc_Value_Oval' ) ) ) ) ) ],
% 0.97/1.38 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.97/1.38 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.97/1.38 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.97/1.38 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.97/1.38 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.97/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.97/1.38 ,
% 0.97/1.38 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.97/1.38 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.97/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.97/1.38 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.97/1.38 [ 'c_Objects_Ohext'( X, X ) ],
% 1.01/1.38 [ 'c_Conform_Olconf'( X, Y, Z, T, U ), ~( 'c_Objects_Ohext'( W, Y ) ),
% 1.01/1.38 ~( 'c_Conform_Olconf'( X, W, Z, T, U ) ) ],
% 1.01/1.38 [ 'c_Objects_Ohext'( X, Y ), ~( 'c_Objects_Ohext'( Z, Y ) ), ~(
% 1.01/1.38 'c_Objects_Ohext'( X, Z ) ) ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 1.01/1.38 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 1.01/1.38 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 1.01/1.38 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 1.01/1.38 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 1.01/1.38 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 1.01/1.38 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 1.01/1.38 'c_Relation_Osym'( X, Y ) ) ],
% 1.01/1.38 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 1.01/1.38 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.01/1.38 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 1.01/1.38 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 1.01/1.38 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 1.01/1.38 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 1.01/1.38 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 1.01/1.38 ) ) ],
% 1.01/1.38 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 1.01/1.38 Y ) ],
% 1.01/1.38 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.01/1.38 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.01/1.38 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 1.01/1.38 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 1.01/1.38 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 1.01/1.38 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.01/1.38 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.01/1.38 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.01/1.38 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.01/1.38 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.01/1.38 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 1.01/1.38 X, Y ), X, Y, Y, Y ) ) ],
% 1.01/1.38 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.01/1.38 'c_Relation_Osym'( X, Z ) ) ],
% 1.01/1.38 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.01/1.38 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.01/1.38 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 1.01/1.38 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.01/1.38 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.01/1.38 'c_Relation_Otrans'( X, Y ) ) ],
% 1.01/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 1.01/1.38 'c_Relation_OId'( X ) ) ],
% 1.01/1.38 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.01/1.38 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.01/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.01/1.38 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 1.01/1.38 , T, U, V0 ), Z, T, V0 ) ) ],
% 1.01/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 1.01/1.38 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 1.01/1.38 ) ) ],
% 1.01/1.38 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.01/1.38 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 1.01/1.38 , Y ) ) ],
% 1.01/1.38 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.01/1.38 'c_Relation_Otrans'( X, Z ) ) ],
% 1.01/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 1.01/1.38 'c_Relation_OId__on'( X, Y ) ) ],
% 1.01/1.38 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 1.01/1.38 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 1.01/1.38 , Y ), X, Y ) ],
% 1.01/1.38 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 1.01/1.38 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.01/1.38 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 1.01/1.38 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 1.01/1.38 ],
% 1.01/1.38 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 1.01/1.38 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 1.01/1.38 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 1.01/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.01/1.38 X ) ],
% 1.01/1.38 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 1.01/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 1.01/1.38 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 1.01/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.01/1.38 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 1.01/1.38 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.01/1.38 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.01/1.38 'c_Relation_Oantisym'( X, Y ) ) ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.01/1.38 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 1.01/1.38 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 1.01/1.38 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 1.01/1.38 Y, Z ) ) ],
% 1.01/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.01/1.38 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.01/1.38 Y, Y ) ) ],
% 1.01/1.38 [ =( 'c_Set_Oimage'( 'c_fst'( X, Y ), Z, 'tc_prod'( X, Y ), X ),
% 1.01/1.38 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 1.01/1.38 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 1.01/1.38 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 1.01/1.38 ],
% 1.01/1.38 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 1.01/1.38 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 1.01/1.38 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 1.01/1.38 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 1.01/1.38 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 1.01/1.38 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.01/1.38 'c_Relation_ORange'( X, Y, Z ) ) ],
% 1.01/1.38 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.01/1.38 ) ), =( X, T ) ],
% 1.01/1.38 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.01/1.38 ) ), =( Y, U ) ],
% 1.01/1.38 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 1.01/1.38 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 1.01/1.38 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 1.01/1.38 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 1.01/1.38 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 1.01/1.38 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 1.01/1.38 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 1.01/1.38 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 1.01/1.38 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 1.01/1.38 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 1.01/1.38 ) ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 1.01/1.38 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 1.01/1.38 , T ), T ) ) ],
% 1.01/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 1.01/1.38 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.01/1.38 [ ~( =( 'c_Expr_Oexp_OVal'( X, Y ), 'c_Expr_Oexp_OVal'( Z, Y ) ) ), =( X
% 1.01/1.38 , Z ) ],
% 1.01/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.01/1.38 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.01/1.38 [ 'c_WellTypeRT_OWTrts'( X, Y, Z, T, U ), ~( 'c_Objects_Ohext'( W, Y ) )
% 1.01/1.38 , ~( 'c_WellTypeRT_OWTrts'( X, W, Z, T, U ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'c_Pair'( Z, T,
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.01/1.38 'c_SmallStep_Oreds'( U ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_prod'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ), ~( 'c_BigStep_Oevals'(
% 1.01/1.38 U, X, Y, Z, T ) ), ~( 'c_WellForm_Owf__prog'(
% 1.01/1.38 'c_WWellForm_Owwf__J__mdecl', U, 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ) ) ) ],
% 1.01/1.38 [ 'c_BigStep_Oevals'( X, Y, Z, T, U ), ~( 'c_BigStep_Oevals'( X, W, V0,
% 1.01/1.38 T, U ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( Y, Z, 'tc_List_Olist'(
% 1.01/1.38 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.38 'c_Pair'( W, V0, 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( 'c_SmallStep_Oreds'( X ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.38 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ) ), ~(
% 1.01/1.38 'c_WellForm_Owf__prog'( 'c_WWellForm_Owwf__J__mdecl', X, 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ) ) ],
% 1.01/1.38 [ =( 'c_State_Ohp', 'c_fst'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'(
% 1.01/1.38 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 1.01/1.38 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 1.01/1.38 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'(
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 1.01/1.38 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 1.01/1.38 ) ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 1.01/1.38 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 1.01/1.38 ), U ) ) ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.01/1.38 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 1.01/1.38 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 1.01/1.38 't_a' ), 't_a' ) ) ],
% 1.01/1.38 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 1.01/1.38 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 1.01/1.38 T, Z ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 1.01/1.38 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 1.01/1.38 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 1.01/1.38 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 1.01/1.38 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 1.01/1.38 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 1.01/1.38 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 1.01/1.38 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 1.01/1.38 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 1.01/1.38 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 1.01/1.38 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 1.01/1.38 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 1.01/1.38 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 1.01/1.38 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 1.01/1.38 ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.01/1.38 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 1.01/1.38 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 1.01/1.38 't_a' ), 't_a' ) ) ],
% 1.01/1.38 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 1.01/1.38 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 1.01/1.38 V0, 'tc_prod'( T, U ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 1.01/1.38 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 1.01/1.38 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 1.01/1.38 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 1.01/1.38 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 1.01/1.38 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 1.01/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 1.01/1.38 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 1.01/1.38 ) ) ],
% 1.01/1.38 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 1.01/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 1.01/1.38 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 1.01/1.38 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X,
% 1.01/1.38 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 1.01/1.38 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 1.01/1.38 Z ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 1.01/1.38 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 1.01/1.38 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 1.01/1.38 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.01/1.38 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 1.01/1.38 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 1.01/1.38 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( 'c_Pair'( 'c_List_Olist_OCons'( 'c_Expr_Oexp_OVal'(
% 1.01/1.38 X, 'tc_List_Olist'( 'tc_String_Ochar' ) ), Y, 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), Z, 'tc_List_Olist'(
% 1.01/1.38 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.38 'c_Pair'( 'c_List_Olist_OCons'( 'c_Expr_Oexp_OVal'( X, 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ), T, 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), U, 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( 'c_SmallStep_Oreds'( W ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.38 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ), ~( 'c_in'( 'c_Pair'(
% 1.01/1.38 'c_Pair'( Y, Z, 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'c_Pair'( T, U,
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.01/1.38 'c_SmallStep_Oreds'( W ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_prod'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 1.01/1.38 [ 'c_BigStep_Oevals'( X, Y, Z, T, U ), ~( 'c_BigStep_Oevals'( X, W, V0,
% 1.01/1.38 T, U ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( Y, Z, 'tc_List_Olist'(
% 1.01/1.38 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.38 'c_Pair'( W, V0, 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X
% 1.01/1.38 ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ) ) ), ~( 'c_WellForm_Owf__prog'(
% 1.01/1.38 'c_WWellForm_Owwf__J__mdecl', X, 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ) ) ) ],
% 1.01/1.38 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 1.01/1.38 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 1.01/1.38 ) ) ],
% 1.01/1.38 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 1.01/1.38 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 1.01/1.38 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 1.01/1.38 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 1.01/1.38 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 1.01/1.38 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 1.01/1.38 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.01/1.38 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 1.01/1.38 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.01/1.38 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 1.01/1.38 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 1.01/1.38 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( hBOOL( hAPP(
% 1.01/1.38 hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 1.01/1.38 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 1.01/1.38 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.01/1.38 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 1.01/1.38 Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.01/1.38 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 1.01/1.38 Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 1.01/1.38 Z ) ) ) ],
% 1.01/1.38 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 1.01/1.38 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.01/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 1.01/1.38 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.01/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.01/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.01/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.01/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 1.01/1.38 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.01/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.01/1.38 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.01/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 1.01/1.38 Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 1.01/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.01/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.01/1.38 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 1.01/1.38 , 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.01/1.38 ), 'tc_prod'( Y, Y ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.01/1.38 ), 'tc_prod'( Y, Y ) ) ],
% 1.01/1.38 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 1.01/1.38 T, Z ) ) ],
% 1.01/1.38 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 1.01/1.38 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.01/1.38 'c_Relation_Oantisym'( T, Z ) ) ],
% 1.01/1.38 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 1.01/1.38 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.01/1.38 'c_Relation_Oantisym'( T, Z ) ) ],
% 1.01/1.38 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 1.01/1.38 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 1.01/1.38 ) ],
% 1.01/1.38 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 1.01/1.38 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 1.01/1.38 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 1.01/1.38 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 1.01/1.38 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 1.01/1.38 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 1.01/1.38 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 1.01/1.38 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 1.01/1.38 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 1.01/1.38 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 1.01/1.38 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 1.01/1.38 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 1.01/1.38 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 1.01/1.38 , Z ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 1.01/1.38 , Z ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 1.01/1.38 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 1.01/1.38 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 1.01/1.38 Z, V0 ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.01/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.01/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 1.01/1.38 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.01/1.38 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.01/1.38 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 1.01/1.38 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 1.01/1.38 ,
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 1.01/1.38 ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 1.01/1.38 ) ) ],
% 1.01/1.38 [ 'c_Objects_Ohext'( X, Y ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( Z, 'c_Pair'(
% 1.01/1.38 X, T, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ),
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'c_Pair'( U, 'c_Pair'( Y, W, 'tc_fun'( 'tc_nat'
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 'tc_List_Olist'(
% 1.01/1.38 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.38 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( V0 ), 'tc_prod'(
% 1.01/1.38 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 1.01/1.38 [ 'c_in'( 'c_Pair'( 'c_Pair'( 'c_List_Olist_OCons'( 'c_Expr_Oexp_OVal'(
% 1.01/1.38 X, 'tc_List_Olist'( 'tc_String_Ochar' ) ), Y, 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), Z, 'tc_List_Olist'(
% 1.01/1.38 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.38 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.38 'c_Pair'( 'c_List_Olist_OCons'( 'c_Expr_Oexp_OVal'( X, 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ), T, 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.38 'tc_String_Ochar' ) ) ), U, 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( W
% 1.01/1.38 ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.38 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.38 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.38 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.38 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.38 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.38 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( Y, Z,
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ), 'c_Pair'( T, U, 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( W
% 1.01/1.39 ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 1.01/1.39 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 1.01/1.39 , Z ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 1.01/1.39 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 1.01/1.39 , Z ) ) ],
% 1.01/1.39 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 1.01/1.39 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 1.01/1.39 Y, Z ), Z ) ) ],
% 1.01/1.39 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 1.01/1.39 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 1.01/1.39 Y, Z ), Z ) ) ],
% 1.01/1.39 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 1.01/1.39 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 1.01/1.39 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 1.01/1.39 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 1.01/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 1.01/1.39 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 1.01/1.39 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 1.01/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 1.01/1.39 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 1.01/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 1.01/1.39 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 1.01/1.39 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 1.01/1.39 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.01/1.39 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 1.01/1.39 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.01/1.39 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 1.01/1.39 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.01/1.39 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 1.01/1.39 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 1.01/1.39 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 1.01/1.39 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 1.01/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 1.01/1.39 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 1.01/1.39 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 1.01/1.39 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 1.01/1.39 ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 1.01/1.39 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 1.01/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 1.01/1.39 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 1.01/1.39 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 1.01/1.39 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 1.01/1.39 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 1.01/1.39 [ 'c_Conform_Ohconf'( X, Y, 'tc_prod'( 'tc_List_Olist'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ) ) ), ~( 'c_Conform_Ohconf'( X, Z, 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ) ) ) ) ), ~( 'c_WellTypeRT_OWTrts'( X, Z, T, U, W ) )
% 1.01/1.39 , ~( 'c_in'( 'c_Pair'( 'c_Pair'( U, 'c_Pair'( Z, V0, 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 'tc_List_Olist'(
% 1.01/1.39 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.39 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.39 'c_Pair'( V1, 'c_Pair'( Y, V2, 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'(
% 1.01/1.39 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ), 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X
% 1.01/1.39 ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 1.01/1.39 [ 'c_Conform_Olconf'( X, Y, Z, T, 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ) ) ) ), ~( 'c_Conform_Olconf'( X, U, W, T, 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ) ) ), ~( 'c_WellTypeRT_OWTrts'( X
% 1.01/1.39 , U, T, V0, V1 ) ), ~( 'c_in'( 'c_Pair'( 'c_Pair'( V0, 'c_Pair'( U, W,
% 1.01/1.39 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.39 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ),
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ), 'c_Pair'( V2, 'c_Pair'( Y, Z, 'tc_fun'( 'tc_nat'
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ), 'tc_List_Olist'(
% 1.01/1.39 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.39 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.39 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'( X ), 'tc_prod'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ) ) ) ],
% 1.01/1.39 [ =( X, Y ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~(
% 1.01/1.39 'c_in'( 'c_Pair'( 'c_Pair'( X, U, Z, W ), 'c_Pair'( Y, V0, Z, W ),
% 1.01/1.39 'tc_prod'( Z, W ), 'tc_prod'( Z, W ) ), 'c_Wellfounded_Olex__prod'( T, V1
% 1.01/1.39 , Z, W ), 'tc_prod'( 'tc_prod'( Z, W ), 'tc_prod'( Z, W ) ) ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( X, U, Z, T ),
% 1.01/1.39 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ), 'c_Wellfounded_Olex__prod'( W, V0
% 1.01/1.39 , Z, T ), 'tc_prod'( 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 1.01/1.39 'c_Pair'( Y, U, T, T ), V0, 'tc_prod'( T, T ) ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ),
% 1.01/1.39 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ), 'c_Wellfounded_Olex__prod'( V0,
% 1.01/1.39 V1, Z, T ), 'tc_prod'( 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ) ), ~(
% 1.01/1.39 'c_in'( 'c_Pair'( X, U, Z, Z ), V0, 'tc_prod'( Z, Z ) ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 1.01/1.39 'c_Pair'( U, W, V0, V0 ), V1, 'tc_prod'( V0, V0 ) ), ~( 'c_in'( 'c_Pair'(
% 1.01/1.39 'c_Pair'( U, X, V0, Z ), 'c_Pair'( W, Y, V0, Z ), 'tc_prod'( V0, Z ),
% 1.01/1.39 'tc_prod'( V0, Z ) ), 'c_Wellfounded_Olex__prod'( V1, T, V0, Z ),
% 1.01/1.39 'tc_prod'( 'tc_prod'( V0, Z ), 'tc_prod'( V0, Z ) ) ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( X, U, Z, T ),
% 1.01/1.39 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ), 'c_Recdef_Osame__fst'( W, V0, Z,
% 1.01/1.39 T ), 'tc_prod'( 'tc_prod'( Z, T ), 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 1.01/1.39 'c_Pair'( Y, U, T, T ), hAPP( V0, X ), 'tc_prod'( T, T ) ) ), ~( hBOOL(
% 1.01/1.39 hAPP( W, X ) ) ) ],
% 1.01/1.39 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.01/1.39 ,
% 1.01/1.39 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.01/1.39 ,
% 1.01/1.39 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.01/1.39 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 1.01/1.39 [ 'c_in'( 'c_Pair'( 'c_Pair'( 'v_es', 'v_s', 'tc_List_Olist'(
% 1.01/1.39 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar' ) ),
% 1.01/1.39 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'(
% 1.01/1.39 'tc_String_Ochar' ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ),
% 1.01/1.39 'c_Pair'( 'v_es_H', 'v_s_H', 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ), 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'c_SmallStep_Oreds'(
% 1.01/1.39 'v_P' ), 'tc_prod'( 'tc_prod'( 'tc_List_Olist'( 'tc_Expr_Oexp'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ) ), 'tc_prod'( 'tc_fun'( 'tc_nat',
% 1.01/1.39 'tc_Option_Ooption'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_fun'( 'tc_prod'( 'tc_List_Olist'( 'tc_String_Ochar' ),
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ) ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'( 'tc_List_Olist'( 'tc_String_Ochar' )
% 1.01/1.39 , 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ), 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_Expr_Oexp'( 'tc_List_Olist'( 'tc_String_Ochar' ) ) )
% 1.01/1.39 , 'tc_prod'( 'tc_fun'( 'tc_nat', 'tc_Option_Ooption'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_fun'( 'tc_prod'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_List_Olist'( 'tc_String_Ochar'
% 1.01/1.39 ) ), 'tc_Option_Ooption'( 'tc_Value_Oval' ) ) ) ) ), 'tc_fun'(
% 1.01/1.39 'tc_List_Olist'( 'tc_String_Ochar' ), 'tc_Option_Ooption'(
% 1.01/1.39 'tc_Value_Oval' ) ) ) ) ) ) ],
% 1.01/1.39 [ 'c_WellTypeRT_OWTrts'( 'v_P', hAPP( 'c_State_Ohp', 'v_s' ), 'v_E',
% 1.01/1.39 'v_es', 'v_Ts' ) ],
% 1.01/1.39 [ 'c_TypeSafe__Mirabelle_Osconf'( 'v_P', 'v_E', 'v_s' ) ],
% 1.01/1.39 [ ~( 'c_TypeSafe__Mirabelle_Osconf'( 'v_P', 'v_E', 'v_s_H' ) ) ],
% 1.01/1.39 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.01/1.39 'class_Lattices_Olattice'( Y ) ) ],
% 1.01/1.39 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.01/1.39 'class_Lattices_Olattice'( Y ) ) ],
% 1.01/1.39 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.01/1.39 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.01/1.39 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.01/1.39 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.01/1.39 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.01/1.39 'class_Orderings_Opreorder'( Y ) ) ],
% 1.01/1.39 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.01/1.39 'class_Lattices_Olattice'( Y ) ) ],
% 1.01/1.39 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.01/1.39 'class_Orderings_Oorder'( Y ) ) ],
% 1.01/1.39 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.01/1.39 Y ) ) ],
% 1.01/1.39 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.01/1.39 ,
% 1.01/1.39 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.01/1.39 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.01/1.39 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.01/1.39 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.01/1.39 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.01/1.39 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.01/1.39 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.01/1.39 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.01/1.39 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.01/1.39 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.01/1.39 [ 'c_fequal'( X, X, Y ) ],
% 1.01/1.39 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.01/1.39 ] .
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 percentage equality = 0.225932, percentage horn = 0.900482
% 1.01/1.39 This is a problem with some equality
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39
% 1.01/1.39 Options Used:
% 1.01/1.39
% 1.01/1.39 useres = 1
% 1.01/1.39 useparamod = 1
% 1.01/1.39 useeqrefl = 1
% 1.01/1.39 useeqfact = 1
% 1.01/1.39 usefactor = 1
% 1.01/1.39 usesimpsplitting = 0
% 1.01/1.39 usesimpdemod = 5
% 1.01/1.39 usesimpres = 3
% 1.01/1.39
% 1.01/1.39 resimpinuse = 1000
% 1.01/1.39 resimpclauses = 20000
% 1.01/1.39 substype = eqrewr
% 1.01/1.39 backwardsubs = 1
% 1.01/1.39 selectoldest = 5
% 1.01/1.39
% 1.01/1.39 litorderings [0] = split
% 1.01/1.39 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.39
% 1.01/1.39 termordering = kbo
% 1.01/1.39
% 1.01/1.39 litapriori = 0
% 1.01/1.39 termapriori = 1
% 1.01/1.39 litaposteriori = 0
% 1.01/1.39 termaposteriori = 0
% 1.01/1.39 demodaposteriori = 0
% 1.01/1.39 ordereqreflfact = 0
% 1.01/1.39
% 1.01/1.39 litselect = negord
% 1.01/1.39
% 1.01/1.39 maxweight = 15
% 1.01/1.39 maxdepth = 30000
% 1.01/1.39 maxlength = 115
% 1.01/1.39 maxnrvars = 195
% 1.01/1.39 excuselevel = 1
% 1.01/1.39 increasemaxweight = 1
% 1.01/1.39
% 1.01/1.39 maxselected = 10000000
% 1.01/1.39 maxnrclauses = 10000000
% 1.01/1.39
% 1.01/1.39 showgenerated = 0
% 1.01/1.39 showkept = 0
% 1.01/1.39 showselected = 0
% 1.01/1.39 showdeleted = 0
% 1.01/1.39 showresimp = 1
% 1.01/1.39 showstatus = 2000
% 1.01/1.39
% 1.01/1.39 prologoutput = 1
% 1.01/1.39 nrgoals = 5000000
% 1.01/1.39 totalproof = 1
% 1.01/1.39
% 1.01/1.39 Symbols occurring in the translation:
% 1.01/1.39
% 1.01/1.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.39 . [1, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.01/1.39 ! [4, 1] (w:0, o:107, a:1, s:1, b:0),
% 1.01/1.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.39 'tc_bool' [41, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.01/1.39 'tc_fun' [42, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.01/1.39 'c_Orderings_Obot__class_Obot' [43, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_OImage' [45, 4] (w:1, o:216, a:1, s:1, b:0),
% 1.01/1.39 'c_Set_Oinsert' [48, 3] (w:1, o:189, a:1, s:1, b:0),
% 1.01/1.39 'c_Lattices_Olower__semilattice__class_Oinf' [50, 3] (w:1, o:190, a:1
% 1.01/1.39 , s:1, b:0),
% 1.01/1.39 'c_HOL_Ominus__class_Ominus' [51, 3] (w:1, o:191, a:1, s:1, b:0),
% 1.01/1.39 'class_Orderings_Obot' [52, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.01/1.39 'c_lessequals' [54, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.01/1.39 'tc_prod' [55, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_Orel__comp' [57, 5] (w:1, o:239, a:1, s:1, b:0),
% 1.01/1.39 'c_Lattices_Oupper__semilattice__class_Osup' [58, 3] (w:1, o:193, a:1
% 1.01/1.39 , s:1, b:0),
% 1.01/1.39 'c_Set_Oimage' [61, 4] (w:1, o:219, a:1, s:1, b:0),
% 1.01/1.39 'c_Transitive__Closure_Ortrancl' [62, 2] (w:1, o:158, a:1, s:1, b:0)
% 1.01/1.39 ,
% 1.01/1.39 'c_snd' [64, 2] (w:1, o:159, a:1, s:1, b:0),
% 1.01/1.39 hAPP [66, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.01/1.39 'c_fst' [68, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.01/1.39 hBOOL [72, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.01/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [74, 3] (w:1, o:
% 1.01/1.39 194, a:1, s:1, b:0),
% 1.01/1.39 'c_Wellfounded_Owf' [75, 2] (w:1, o:162, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_ORange' [76, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.01/1.39 'c_in' [78, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.01/1.39 'c_COMBK' [79, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.01/1.39 'c_Product__Type_OSigma' [80, 4] (w:1, o:220, a:1, s:1, b:0),
% 1.01/1.39 'c_Transitive__Closure_Otrancl' [82, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.01/1.39
% 1.01/1.39 'c_Relation_ODomain' [85, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.01/1.39 'class_Lattices_Odistrib__lattice' [86, 1] (w:1, o:115, a:1, s:1, b:0
% 1.01/1.39 ),
% 1.01/1.39 'c_Relation_OId__on' [89, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_Orefl__on' [90, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.01/1.39 'class_Lattices_Oupper__semilattice' [91, 1] (w:1, o:116, a:1, s:1
% 1.01/1.39 , b:0),
% 1.01/1.39 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [95, 3] (w:1, o:197, a:
% 1.01/1.39 1, s:1, b:0),
% 1.01/1.39 'class_OrderedGroup_Oab__group__add' [98, 1] (w:1, o:117, a:1, s:1
% 1.01/1.39 , b:0),
% 1.01/1.39 'class_Lattices_Olattice' [101, 1] (w:1, o:118, a:1, s:1, b:0),
% 1.01/1.39 'class_Lattices_Olower__semilattice' [102, 1] (w:1, o:119, a:1, s:1
% 1.01/1.39 , b:0),
% 1.01/1.39 'c_Wellfounded_Oacyclic' [103, 2] (w:1, o:165, a:1, s:1, b:0),
% 1.01/1.39 'c_Pair' [104, 4] (w:1, o:221, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_Osym' [105, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.01/1.39 'class_Lattices_Obounded__lattice' [106, 1] (w:1, o:120, a:1, s:1, b:
% 1.01/1.39 0),
% 1.01/1.39 'tc_String_Ochar' [109, 0] (w:1, o:67, a:1, s:1, b:0),
% 1.01/1.39 'tc_List_Olist' [110, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.01/1.39 'c_Expr_Oexp_OVal' [111, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.01/1.39 'c_BigStep_Oeval' [112, 5] (w:1, o:243, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_Otrans' [114, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.01/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [116, 3] (w:1, o:
% 1.01/1.39 198, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_Oconverse' [117, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.01/1.39 'class_Orderings_Oorder' [118, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_Oantisym' [119, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_Ototal__on' [121, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.01/1.39 'c_Equiv__Relations_Oequiv' [122, 3] (w:1, o:199, a:1, s:1, b:0),
% 1.01/1.39 'c_Wellfounded_Oacc' [125, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.01/1.39 'c_WWellForm_Owwf__J__mdecl' [127, 0] (w:1, o:70, a:1, s:1, b:0),
% 1.01/1.39 'c_JWellForm_Owf__J__mdecl' [129, 0] (w:1, o:72, a:1, s:1, b:0),
% 1.01/1.39 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [130, 3]
% 1.01/1.39 (w:1, o:200, a:1, s:1, b:0),
% 1.01/1.39 'c_List_Osko__Recdef__Xcuts__eq__1__1' [132, 6] (w:1, o:248, a:1, s:1
% 1.01/1.39 , b:0),
% 1.01/1.39 'c_Recdef_Ocut' [133, 5] (w:1, o:244, a:1, s:1, b:0),
% 1.01/1.39 'class_HOL_Oord' [134, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.01/1.39 'class_Orderings_Opreorder' [135, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_Osingle__valued' [136, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.01/1.39 'class_OrderedGroup_Opordered__ab__group__add' [137, 1] (w:1, o:125
% 1.01/1.39 , a:1, s:1, b:0),
% 1.01/1.39 'class_Orderings_Olinorder' [139, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.01/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 1.01/1.39 [140, 4] (w:1, o:222, a:1, s:1, b:0),
% 1.01/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 1.01/1.39 [141, 4] (w:1, o:223, a:1, s:1, b:0),
% 1.01/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [142, 4
% 1.01/1.39 ] (w:1, o:224, a:1, s:1, b:0),
% 1.01/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [143, 4
% 1.01/1.39 ] (w:1, o:225, a:1, s:1, b:0),
% 1.01/1.39 'c_Relation_OId' [144, 1] (w:1, o:127, a:1, s:1, b:0),
% 1.01/1.39 'c_split' [145, 4] (w:1, o:226, a:1, s:1, b:0),
% 1.01/1.39 'c_Objects_Ohext' [148, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.01/1.39 'tc_nat' [151, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.01/1.39 'tc_Value_Oval' [152, 0] (w:1, o:78, a:1, s:1, b:0),
% 1.01/1.39 'tc_Option_Ooption' [153, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.01/1.39 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [155, 4]
% 1.01/1.39 (w:1, o:227, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [156, 4]
% 4.57/4.95 (w:1, o:228, a:1, s:1, b:0),
% 4.57/4.95 'c_Nitpick_Orefl_H' [157, 2] (w:1, o:171, a:1, s:1, b:0),
% 4.57/4.95 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [158, 2] (w:1, o:172
% 4.57/4.95 , a:1, s:1, b:0),
% 4.57/4.95 'c_Relation_Oirrefl' [159, 2] (w:1, o:174, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [160, 2] (w:1, o:
% 4.57/4.95 175, a:1, s:1, b:0),
% 4.57/4.95 'v_r' [161, 0] (w:1, o:80, a:1, s:1, b:0),
% 4.57/4.95 't_a' [162, 0] (w:1, o:81, a:1, s:1, b:0),
% 4.57/4.95 't_b' [163, 0] (w:1, o:82, a:1, s:1, b:0),
% 4.57/4.95 'tc_Expr_Oexp' [165, 1] (w:1, o:129, a:1, s:1, b:0),
% 4.57/4.95 'c_List_Olist_OCons' [166, 3] (w:1, o:201, a:1, s:1, b:0),
% 4.57/4.95 'c_BigStep_Oevals' [170, 5] (w:1, o:245, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [172, 3] (w:1, o:202
% 4.57/4.95 , a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [173, 2] (w:1
% 4.57/4.95 , o:176, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [174, 2] (w:1, o:
% 4.57/4.95 177, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [175, 2] (w:1, o:178, a:1
% 4.57/4.95 , s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [176, 7] (w:1
% 4.57/4.95 , o:250, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [177, 5] (w:1, o:
% 4.57/4.95 240, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [178
% 4.57/4.95 , 2] (w:1, o:179, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [179,
% 4.57/4.95 4] (w:1, o:229, a:1, s:1, b:0),
% 4.57/4.95 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [182, 3] (w:1, o:203
% 4.57/4.95 , a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [183, 4]
% 4.57/4.95 (w:1, o:230, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [185, 4]
% 4.57/4.95 (w:1, o:231, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [186
% 4.57/4.95 , 4] (w:1, o:232, a:1, s:1, b:0),
% 4.57/4.95 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [187, 3] (w:1, o:
% 4.57/4.95 204, a:1, s:1, b:0),
% 4.57/4.95 'c_FunDef_Oin__rel' [188, 3] (w:1, o:205, a:1, s:1, b:0),
% 4.57/4.95 'c_Wellfounded_OwfP' [189, 2] (w:1, o:180, a:1, s:1, b:0),
% 4.57/4.95 'c_Wellfounded_Olex__prod' [190, 4] (w:1, o:233, a:1, s:1, b:0),
% 4.57/4.95 'c_WellForm_Owf__prog' [191, 3] (w:1, o:206, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [193, 5] (w:1, o:241
% 4.57/4.95 , a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [194, 3] (w:1
% 4.57/4.95 , o:207, a:1, s:1, b:0),
% 4.57/4.95 'v_sko__Wellfounded__Xacc__Xinducts__1' [195, 2] (w:1, o:181, a:1, s:
% 4.57/4.95 1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [197, 3]
% 4.57/4.95 (w:1, o:208, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [198, 5] (w:1, o:
% 4.57/4.95 242, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [199, 3] (w:
% 4.57/4.95 1, o:209, a:1, s:1, b:0),
% 4.57/4.95 'c_Conform_Olconf' [201, 5] (w:1, o:246, a:1, s:1, b:0),
% 4.57/4.95 'c_Relation_Oinv__image' [203, 4] (w:1, o:217, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [205, 3]
% 4.57/4.95 (w:1, o:210, a:1, s:1, b:0),
% 4.57/4.95 'v_sko__Wellfounded__Xacc__Xinduct__1' [206, 2] (w:1, o:182, a:1, s:1
% 4.57/4.95 , b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [207, 3] (w:1, o:
% 4.57/4.95 211, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [208, 3] (w:1
% 4.57/4.95 , o:212, a:1, s:1, b:0),
% 4.57/4.95 'c_Equiv__Relations_Ocongruent' [210, 4] (w:1, o:234, a:1, s:1, b:0)
% 4.57/4.95 ,
% 4.57/4.95 'c_Equiv__Relations_Ocongruent2' [212, 6] (w:1, o:249, a:1, s:1, b:0)
% 4.57/4.95 ,
% 4.57/4.95 'c_WellTypeRT_OWTrts' [219, 5] (w:1, o:247, a:1, s:1, b:0),
% 4.57/4.95 'c_SmallStep_Oreds' [220, 1] (w:1, o:130, a:1, s:1, b:0),
% 4.57/4.95 'c_State_Ohp' [223, 0] (w:1, o:91, a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [224, 4] (w:1, o:235
% 4.57/4.95 , a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [226, 4] (w:1, o:236
% 4.57/4.95 , a:1, s:1, b:0),
% 4.57/4.95 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [227, 4] (w:1, o:
% 22.25/22.68 237, a:1, s:1, b:0),
% 22.25/22.68 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [228, 4] (w:1, o:
% 22.25/22.68 238, a:1, s:1, b:0),
% 22.25/22.68 'c_Conform_Ohconf' [235, 3] (w:1, o:213, a:1, s:1, b:0),
% 22.25/22.68 'c_Recdef_Osame__fst' [237, 4] (w:1, o:218, a:1, s:1, b:0),
% 22.25/22.68 'v_es' [238, 0] (w:1, o:96, a:1, s:1, b:0),
% 22.25/22.68 'v_s' [239, 0] (w:1, o:97, a:1, s:1, b:0),
% 22.25/22.68 'v_es_H' [240, 0] (w:1, o:98, a:1, s:1, b:0),
% 22.25/22.68 'v_s_H' [241, 0] (w:1, o:99, a:1, s:1, b:0),
% 22.25/22.68 'v_P' [242, 0] (w:1, o:100, a:1, s:1, b:0),
% 22.25/22.68 'v_E' [243, 0] (w:1, o:101, a:1, s:1, b:0),
% 22.25/22.68 'v_Ts' [244, 0] (w:1, o:102, a:1, s:1, b:0),
% 22.25/22.68 'c_TypeSafe__Mirabelle_Osconf' [245, 3] (w:1, o:214, a:1, s:1, b:0),
% 22.25/22.68
% 22.25/22.68 'c_fequal' [248, 3] (w:1, o:215, a:1, s:1, b:0).
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Starting Search:
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 5177
% 22.25/22.68 Kept: 2302
% 22.25/22.68 Inuse: 140
% 22.25/22.68 Deleted: 2
% 22.25/22.68 Deletedinuse: 1
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 12656
% 22.25/22.68 Kept: 4303
% 22.25/22.68 Inuse: 284
% 22.25/22.68 Deleted: 4
% 22.25/22.68 Deletedinuse: 1
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 20365
% 22.25/22.68 Kept: 6306
% 22.25/22.68 Inuse: 390
% 22.25/22.68 Deleted: 4
% 22.25/22.68 Deletedinuse: 1
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 28384
% 22.25/22.68 Kept: 8311
% 22.25/22.68 Inuse: 507
% 22.25/22.68 Deleted: 8
% 22.25/22.68 Deletedinuse: 4
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 36371
% 22.25/22.68 Kept: 10392
% 22.25/22.68 Inuse: 565
% 22.25/22.68 Deleted: 10
% 22.25/22.68 Deletedinuse: 4
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 50826
% 22.25/22.68 Kept: 12825
% 22.25/22.68 Inuse: 635
% 22.25/22.68 Deleted: 11
% 22.25/22.68 Deletedinuse: 5
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 71379
% 22.25/22.68 Kept: 15955
% 22.25/22.68 Inuse: 688
% 22.25/22.68 Deleted: 13
% 22.25/22.68 Deletedinuse: 5
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 88876
% 22.25/22.68 Kept: 18322
% 22.25/22.68 Inuse: 693
% 22.25/22.68 Deleted: 15
% 22.25/22.68 Deletedinuse: 7
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 96319
% 22.25/22.68 Kept: 20538
% 22.25/22.68 Inuse: 710
% 22.25/22.68 Deleted: 16
% 22.25/22.68 Deletedinuse: 7
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying clauses:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 106700
% 22.25/22.68 Kept: 22568
% 22.25/22.68 Inuse: 742
% 22.25/22.68 Deleted: 202
% 22.25/22.68 Deletedinuse: 7
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 123629
% 22.25/22.68 Kept: 24867
% 22.25/22.68 Inuse: 787
% 22.25/22.68 Deleted: 202
% 22.25/22.68 Deletedinuse: 7
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 135746
% 22.25/22.68 Kept: 27081
% 22.25/22.68 Inuse: 832
% 22.25/22.68 Deleted: 203
% 22.25/22.68 Deletedinuse: 8
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 147435
% 22.25/22.68 Kept: 29899
% 22.25/22.68 Inuse: 847
% 22.25/22.68 Deleted: 203
% 22.25/22.68 Deletedinuse: 8
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 163698
% 22.25/22.68 Kept: 33516
% 22.25/22.68 Inuse: 907
% 22.25/22.68 Deleted: 203
% 22.25/22.68 Deletedinuse: 8
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 173097
% 22.25/22.68 Kept: 35516
% 22.25/22.68 Inuse: 946
% 22.25/22.68 Deleted: 203
% 22.25/22.68 Deletedinuse: 8
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 181601
% 22.25/22.68 Kept: 37681
% 22.25/22.68 Inuse: 997
% 22.25/22.68 Deleted: 204
% 22.25/22.68 Deletedinuse: 9
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 199325
% 22.25/22.68 Kept: 41104
% 22.25/22.68 Inuse: 1047
% 22.25/22.68 Deleted: 204
% 22.25/22.68 Deletedinuse: 9
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying clauses:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 214701
% 22.25/22.68 Kept: 43108
% 22.25/22.68 Inuse: 1092
% 22.25/22.68 Deleted: 444
% 22.25/22.68 Deletedinuse: 19
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 224266
% 22.25/22.68 Kept: 45120
% 22.25/22.68 Inuse: 1142
% 22.25/22.68 Deleted: 446
% 22.25/22.68 Deletedinuse: 21
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68 Resimplifying inuse:
% 22.25/22.68 Done
% 22.25/22.68
% 22.25/22.68
% 22.25/22.68 Intermediate Status:
% 22.25/22.68 Generated: 251161
% 22.25/22.68 Kept: 47237
% 22.25/22.68 Inuse: 1154
% 22.25/22.68 Deleted: 446
% 22.25/22.68 Deletedinuse: 21
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 273836
% 74.13/74.54 Kept: 49261
% 74.13/74.54 Inuse: 1162
% 74.13/74.54 Deleted: 446
% 74.13/74.54 Deletedinuse: 21
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 288698
% 74.13/74.54 Kept: 51430
% 74.13/74.54 Inuse: 1207
% 74.13/74.54 Deleted: 450
% 74.13/74.54 Deletedinuse: 25
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 325473
% 74.13/74.54 Kept: 55273
% 74.13/74.54 Inuse: 1222
% 74.13/74.54 Deleted: 450
% 74.13/74.54 Deletedinuse: 25
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 355156
% 74.13/74.54 Kept: 57463
% 74.13/74.54 Inuse: 1230
% 74.13/74.54 Deleted: 450
% 74.13/74.54 Deletedinuse: 25
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 376327
% 74.13/74.54 Kept: 59498
% 74.13/74.54 Inuse: 1261
% 74.13/74.54 Deleted: 450
% 74.13/74.54 Deletedinuse: 25
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying clauses:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 385740
% 74.13/74.54 Kept: 61584
% 74.13/74.54 Inuse: 1273
% 74.13/74.54 Deleted: 1269
% 74.13/74.54 Deletedinuse: 27
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 398900
% 74.13/74.54 Kept: 63788
% 74.13/74.54 Inuse: 1308
% 74.13/74.54 Deleted: 1275
% 74.13/74.54 Deletedinuse: 33
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 418948
% 74.13/74.54 Kept: 67572
% 74.13/74.54 Inuse: 1332
% 74.13/74.54 Deleted: 1279
% 74.13/74.54 Deletedinuse: 34
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 435867
% 74.13/74.54 Kept: 70094
% 74.13/74.54 Inuse: 1350
% 74.13/74.54 Deleted: 1279
% 74.13/74.54 Deletedinuse: 34
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 451482
% 74.13/74.54 Kept: 72106
% 74.13/74.54 Inuse: 1391
% 74.13/74.54 Deleted: 1280
% 74.13/74.54 Deletedinuse: 35
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 468262
% 74.13/74.54 Kept: 74281
% 74.13/74.54 Inuse: 1430
% 74.13/74.54 Deleted: 1283
% 74.13/74.54 Deletedinuse: 38
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 489321
% 74.13/74.54 Kept: 76454
% 74.13/74.54 Inuse: 1475
% 74.13/74.54 Deleted: 1284
% 74.13/74.54 Deletedinuse: 39
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 502192
% 74.13/74.54 Kept: 78997
% 74.13/74.54 Inuse: 1480
% 74.13/74.54 Deleted: 1285
% 74.13/74.54 Deletedinuse: 40
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 520565
% 74.13/74.54 Kept: 81198
% 74.13/74.54 Inuse: 1520
% 74.13/74.54 Deleted: 1287
% 74.13/74.54 Deletedinuse: 42
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying clauses:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 531722
% 74.13/74.54 Kept: 83202
% 74.13/74.54 Inuse: 1557
% 74.13/74.54 Deleted: 2045
% 74.13/74.54 Deletedinuse: 44
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 552670
% 74.13/74.54 Kept: 85359
% 74.13/74.54 Inuse: 1599
% 74.13/74.54 Deleted: 2048
% 74.13/74.54 Deletedinuse: 47
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 568682
% 74.13/74.54 Kept: 87360
% 74.13/74.54 Inuse: 1632
% 74.13/74.54 Deleted: 2048
% 74.13/74.54 Deletedinuse: 47
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 590019
% 74.13/74.54 Kept: 91959
% 74.13/74.54 Inuse: 1658
% 74.13/74.54 Deleted: 2052
% 74.13/74.54 Deletedinuse: 50
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 605055
% 74.13/74.54 Kept: 94902
% 74.13/74.54 Inuse: 1663
% 74.13/74.54 Deleted: 2052
% 74.13/74.54 Deletedinuse: 50
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 620080
% 74.13/74.54 Kept: 97906
% 74.13/74.54 Inuse: 1668
% 74.13/74.54 Deleted: 2052
% 74.13/74.54 Deletedinuse: 50
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 633296
% 74.13/74.54 Kept: 99916
% 74.13/74.54 Inuse: 1690
% 74.13/74.54 Deleted: 2052
% 74.13/74.54 Deletedinuse: 50
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 648672
% 74.13/74.54 Kept: 102979
% 74.13/74.54 Inuse: 1693
% 74.13/74.54 Deleted: 2052
% 74.13/74.54 Deletedinuse: 50
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying clauses:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 668560
% 74.13/74.54 Kept: 106662
% 74.13/74.54 Inuse: 1703
% 74.13/74.54 Deleted: 2423
% 74.13/74.54 Deletedinuse: 50
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54
% 74.13/74.54 Intermediate Status:
% 74.13/74.54 Generated: 687449
% 74.13/74.54 Kept: 110304
% 74.13/74.54 Inuse: 1713
% 74.13/74.54 Deleted: 2423
% 74.13/74.54 Deletedinuse: 50
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 74.13/74.54 Done
% 74.13/74.54
% 74.13/74.54 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 703071
% 211.51/211.99 Kept: 112441
% 211.51/211.99 Inuse: 1738
% 211.51/211.99 Deleted: 2423
% 211.51/211.99 Deletedinuse: 50
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 723869
% 211.51/211.99 Kept: 116008
% 211.51/211.99 Inuse: 1748
% 211.51/211.99 Deleted: 2423
% 211.51/211.99 Deletedinuse: 50
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 741954
% 211.51/211.99 Kept: 118135
% 211.51/211.99 Inuse: 1783
% 211.51/211.99 Deleted: 2423
% 211.51/211.99 Deletedinuse: 50
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 762426
% 211.51/211.99 Kept: 120346
% 211.51/211.99 Inuse: 1818
% 211.51/211.99 Deleted: 2423
% 211.51/211.99 Deletedinuse: 50
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 789399
% 211.51/211.99 Kept: 122470
% 211.51/211.99 Inuse: 1873
% 211.51/211.99 Deleted: 2424
% 211.51/211.99 Deletedinuse: 51
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying clauses:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 813489
% 211.51/211.99 Kept: 124484
% 211.51/211.99 Inuse: 1924
% 211.51/211.99 Deleted: 2517
% 211.51/211.99 Deletedinuse: 54
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 835855
% 211.51/211.99 Kept: 126735
% 211.51/211.99 Inuse: 1938
% 211.51/211.99 Deleted: 2517
% 211.51/211.99 Deletedinuse: 54
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 855638
% 211.51/211.99 Kept: 128808
% 211.51/211.99 Inuse: 1948
% 211.51/211.99 Deleted: 2519
% 211.51/211.99 Deletedinuse: 56
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 885126
% 211.51/211.99 Kept: 130862
% 211.51/211.99 Inuse: 1973
% 211.51/211.99 Deleted: 2519
% 211.51/211.99 Deletedinuse: 56
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 908869
% 211.51/211.99 Kept: 132927
% 211.51/211.99 Inuse: 1983
% 211.51/211.99 Deleted: 2519
% 211.51/211.99 Deletedinuse: 56
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 923058
% 211.51/211.99 Kept: 134928
% 211.51/211.99 Inuse: 2005
% 211.51/211.99 Deleted: 2520
% 211.51/211.99 Deletedinuse: 57
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 939503
% 211.51/211.99 Kept: 137255
% 211.51/211.99 Inuse: 2028
% 211.51/211.99 Deleted: 2520
% 211.51/211.99 Deletedinuse: 57
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 955470
% 211.51/211.99 Kept: 139259
% 211.51/211.99 Inuse: 2049
% 211.51/211.99 Deleted: 2520
% 211.51/211.99 Deletedinuse: 57
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 982260
% 211.51/211.99 Kept: 143674
% 211.51/211.99 Inuse: 2063
% 211.51/211.99 Deleted: 2520
% 211.51/211.99 Deletedinuse: 57
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying clauses:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1023020
% 211.51/211.99 Kept: 145733
% 211.51/211.99 Inuse: 2073
% 211.51/211.99 Deleted: 2614
% 211.51/211.99 Deletedinuse: 57
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1046959
% 211.51/211.99 Kept: 147941
% 211.51/211.99 Inuse: 2083
% 211.51/211.99 Deleted: 2614
% 211.51/211.99 Deletedinuse: 57
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1072986
% 211.51/211.99 Kept: 149953
% 211.51/211.99 Inuse: 2091
% 211.51/211.99 Deleted: 2614
% 211.51/211.99 Deletedinuse: 57
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1091170
% 211.51/211.99 Kept: 152254
% 211.51/211.99 Inuse: 2113
% 211.51/211.99 Deleted: 2614
% 211.51/211.99 Deletedinuse: 57
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1100545
% 211.51/211.99 Kept: 154281
% 211.51/211.99 Inuse: 2136
% 211.51/211.99 Deleted: 2617
% 211.51/211.99 Deletedinuse: 59
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1111302
% 211.51/211.99 Kept: 156310
% 211.51/211.99 Inuse: 2156
% 211.51/211.99 Deleted: 2618
% 211.51/211.99 Deletedinuse: 59
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1133934
% 211.51/211.99 Kept: 158501
% 211.51/211.99 Inuse: 2161
% 211.51/211.99 Deleted: 2618
% 211.51/211.99 Deletedinuse: 59
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1156893
% 211.51/211.99 Kept: 162863
% 211.51/211.99 Inuse: 2171
% 211.51/211.99 Deleted: 2619
% 211.51/211.99 Deletedinuse: 60
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1180410
% 211.51/211.99 Kept: 167289
% 211.51/211.99 Inuse: 2181
% 211.51/211.99 Deleted: 2620
% 211.51/211.99 Deletedinuse: 61
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying clauses:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1189811
% 211.51/211.99 Kept: 169390
% 211.51/211.99 Inuse: 2206
% 211.51/211.99 Deleted: 3241
% 211.51/211.99 Deletedinuse: 64
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 1219124
% 211.51/211.99 Kept: 172347
% 211.51/211.99 Inuse: 2226
% 211.51/211.99 Deleted: 3241
% 211.51/211.99 Deletedinuse: 64
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99 Resimplifying inuse:
% 211.51/211.99 Done
% 211.51/211.99
% 211.51/211.99
% 211.51/211.99 Intermediate Status:
% 211.51/211.99 Generated: 12Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------