TSTP Solution File: SCT002-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT002-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:26 EDT 2022
% Result : Timeout 300.01s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT002-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jul 2 07:23:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.96/1.32 *** allocated 10000 integers for termspace/termends
% 0.96/1.32 *** allocated 10000 integers for clauses
% 0.96/1.32 *** allocated 10000 integers for justifications
% 0.96/1.32 *** allocated 15000 integers for termspace/termends
% 0.96/1.32 *** allocated 22500 integers for termspace/termends
% 0.96/1.32 Bliksem 1.12
% 0.96/1.32
% 0.96/1.32
% 0.96/1.32 Automatic Strategy Selection
% 0.96/1.32
% 0.96/1.32 Clauses:
% 0.96/1.32 [
% 0.96/1.32 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.96/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( W, Y, Z ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.32 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.96/1.32 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.96/1.32 ~( hBOOL( 'c_in'( W, T, U ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.32 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.32 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.96/1.32 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.96/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.96/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.32 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 , X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.96/1.32 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.96/1.32 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.96/1.32 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.32 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.96/1.32 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.96/1.32 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.96/1.32 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.96/1.32 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.96/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.96/1.32 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Relation_OImage'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.96/1.32 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.96/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.96/1.32 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, T ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.32 , T, X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.32 , T, X ) ) ), =( Z, T ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.96/1.32 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.96/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.96/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.96/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.96/1.32 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.96/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.96/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.96/1.32 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.96/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.96/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.96/1.32 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.96/1.32 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.96/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.96/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.96/1.32 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.96/1.32 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.96/1.32 X, T ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.96/1.32 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.96/1.32 , Z, T ), Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.96/1.32 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.96/1.32 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.96/1.32 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.96/1.32 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.96/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.96/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.96/1.32 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.32 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.96/1.32 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.96/1.32 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.96/1.32 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.96/1.32 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.96/1.32 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.96/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.96/1.32 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.96/1.32 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.96/1.32 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.96/1.32 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.96/1.32 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.96/1.32 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.96/1.32 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.96/1.32 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.96/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.32 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.96/1.32 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.96/1.32 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.96/1.32 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.96/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.96/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.96/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.96/1.32 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.96/1.32 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.96/1.32 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.32 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.96/1.32 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.96/1.32 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.32 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.96/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.96/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.96/1.32 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.96/1.32 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Oconverse'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.96/1.32 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.96/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.96/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.96/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.96/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.96/1.32 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.96/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.96/1.32 Y, Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.32 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OField'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.96/1.32 'tc_prod'( Z, Z ) ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 'c_Relation_OField'( T, Z ),
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ),
% 0.96/1.32 'c_Relation_OField'( X, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.96/1.32 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.96/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.96/1.32 'c_in'( Y, X, T ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.96/1.32 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.96/1.32 'c_in'( Y, X, T ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.96/1.32 T, X, Z ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Oconverse'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.96/1.32 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.96/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.96/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.96/1.32 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.32 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.32 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.32 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.32 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 0.96/1.32 , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.96/1.32 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.96/1.32 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 T, Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.96/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.96/1.32 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 T, Z, X ), X ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OField'( 'v_r', 't_a' ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 0.96/1.32 , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'(
% 0.96/1.32 't_a', 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.96/1.32 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.96/1.32 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.96/1.32 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.96/1.32 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.96/1.32 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.96/1.32 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.96/1.32 Z, T ), T ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.96/1.32 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.96/1.32 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.96/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.96/1.32 , Z ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.96/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.96/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.96/1.32 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.96/1.32 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.96/1.32 U, W ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.96/1.32 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.96/1.32 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 X, Z, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 X, Z, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.32 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.32 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.32 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.96/1.32 , T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.96/1.32 , T ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.96/1.32 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( hAPP( 'c_snd'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), T ) ],
% 0.96/1.32 [ =( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, X, Y, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.96/1.32 ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( W, T ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.96/1.32 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.96/1.32 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.96/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.96/1.32 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.96/1.32 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.96/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.96/1.32 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( X, T, Z ) ) ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.96/1.32 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.96/1.32 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.96/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 0.96/1.32 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.96/1.32 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.96/1.32 'c_in'( X, Y, Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.96/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ =( 'c_Relation_OField'( X, Y ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.96/1.32 , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.96/1.32 Y, X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 T, X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.96/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.96/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.96/1.32 Y, X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.32 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.32 T, X ), Z, X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.96/1.32 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.96/1.32 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.96/1.32 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.96/1.32 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.96/1.32 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.96/1.32 ],
% 0.96/1.32 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.96/1.32 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.96/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.32 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.96/1.32 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.96/1.32 'c_Product__Type_OSigma'( 'c_Relation_OField'( X, Y ), 'c_COMBK'(
% 0.96/1.32 'c_Relation_OField'( X, Y ), 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ),
% 0.96/1.32 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.96/1.32 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( X, T ) ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.96/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.96/1.32 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.96/1.32 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.32 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.32 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.96/1.32 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.96/1.32 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.96/1.32 'tc_bool' ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.96/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.96/1.32 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.96/1.32 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.96/1.32 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.96/1.32 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.32 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.96/1.32 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.96/1.32 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.96/1.32 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.96/1.32 X, Z, T, U ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.96/1.32 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, U, U ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.96/1.32 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.96/1.32 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.32 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.96/1.32 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.96/1.32 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.32 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.96/1.32 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.96/1.32 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'( W, Y, Z ) )
% 0.96/1.32 ), =( X, U ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.96/1.32 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.96/1.32 Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.96/1.32 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 0.96/1.32 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.32 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.32 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.32 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.96/1.32 'tc_bool' ) ), Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.96/1.32 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.96/1.32 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.96/1.32 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.96/1.32 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.96/1.32 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.96/1.32 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.96/1.32 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.96/1.32 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.96/1.32 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.32 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.96/1.32 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.96/1.32 ) ), Y ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.32 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.96/1.32 ) ), Y ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.32 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.96/1.32 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.96/1.32 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.96/1.32 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.96/1.32 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.32 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.96/1.32 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_snd'( X, Y ), Z, 'tc_prod'( X, Y ), Y ),
% 0.96/1.32 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( 'c_lessequals'( U,
% 0.96/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.96/1.32 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.96/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.96/1.32 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.32 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( Y, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( 'c_Relation_Oantisym'(
% 0.96/1.32 X, Z ) ), ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z )
% 0.96/1.32 ), =( Y, T ) ],
% 0.96/1.32 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X,
% 0.96/1.32 Y, Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Z, 'c_Product__Type_OSigma'( X
% 0.96/1.32 , Y, T, U ), 'tc_prod'( T, U ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.96/1.32 , Y, T, T ), Z, 'tc_prod'( T, T ) ) ), =( X, Y ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ),
% 0.96/1.32 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.96/1.32 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.96/1.32 T, T ) ) ), =( Y, Z ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.96/1.32 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), =( X, Z ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ),
% 0.96/1.32 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.96/1.32 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U )
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.96/1.32 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.96/1.32 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.96/1.32 'tc_prod'( U, U ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.96/1.32 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U,
% 0.96/1.32 U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.96/1.32 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.96/1.32 Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), 't_a',
% 0.96/1.32 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a',
% 0.96/1.32 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' )
% 0.96/1.32 , 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' )
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.96/1.32 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y
% 0.96/1.32 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.96/1.32 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z,
% 0.96/1.32 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.96/1.32 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.96/1.32 'tc_prod'( U, U ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.96/1.32 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.96/1.32 , =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'(
% 0.96/1.32 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T
% 0.96/1.32 , U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 0.96/1.32 , U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 0.96/1.32 , U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T,
% 0.96/1.32 U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.96/1.32 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.96/1.32 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.96/1.32 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.96/1.32 T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.96/1.32 T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 0.96/1.32 ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 0.96/1.32 ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.96/1.32 ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'(
% 0.96/1.32 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Oacyclic'( Z, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.96/1.32 Y, T, T ), Z, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T
% 0.96/1.32 ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.96/1.32 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ),
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.96/1.32 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.96/1.32 , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z,
% 0.96/1.32 T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.96/1.32 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Z
% 0.96/1.32 , T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T,
% 0.96/1.32 T ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.96/1.32 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.96/1.32 , 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.96/1.32 ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T,
% 0.96/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T
% 0.96/1.32 , Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.96/1.32 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 0.96/1.32 ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.96/1.32 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.32 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.96/1.32 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.96/1.32 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 0.96/1.32 ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ),
% 0.96/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.96/1.32 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.96/1.32 , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.96/1.32 ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 0.96/1.32 , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.96/1.32 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.96/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.96/1.32 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.96/1.32 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.96/1.32 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.96/1.32 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.96/1.32 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.96/1.32 [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( X,
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.96/1.32 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.96/1.32 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.96/1.32 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.96/1.32 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.96/1.32 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.32 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.96/1.32 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.96/1.32 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.96/1.32 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.96/1.32 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.96/1.32 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 0.96/1.32 , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.96/1.32 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T
% 0.96/1.32 , Y, Z ) ) ],
% 0.96/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.96/1.32 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.96/1.32 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.96/1.32 U ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.96/1.32 T ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.32 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.96/1.32 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.32 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.96/1.32 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.32 ), hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( T, U, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.32 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( T, U, Z ) ) ),
% 0.96/1.32 ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.32 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.96/1.32 ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.96/1.32 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.96/1.32 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( Y, T,
% 0.96/1.32 Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.32 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.32 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.96/1.32 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.96/1.32 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.96/1.32 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_curry'( X, Y, Z, T ), U ), W ), hAPP( X, 'c_Pair'( U
% 0.96/1.32 , W, Y, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.96/1.32 , T ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.96/1.32 X, U ), W ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.96/1.32 X, U ), W ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.96/1.32 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.96/1.32 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.96/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.32 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.96/1.32 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.96/1.32 'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.32 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.96/1.32 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.96/1.32 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.32 'c_Relation_Otrans'( X, Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.32 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.96/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 0.96/1.32 , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U
% 0.96/1.32 ), U ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.96/1.32 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.96/1.32 ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.96/1.32 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.96/1.32 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.96/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.32 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.96/1.32 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 0.96/1.32 , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 0.96/1.32 , U ), U ) ) ) ],
% 0.96/1.32 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.32 ) ), Z, X ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 0.96/1.32 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.32 [ =( 'c_curry'( 'c_split'( X, Y, Z, T ), Y, Z, T ), X ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.32 [ =( 'c_split'( 'c_curry'( X, Y, Z, T ), Y, Z, T ), X ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.96/1.32 ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.96/1.32 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.96/1.32 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.96/1.32 X, X ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.96/1.32 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.96/1.32 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.32 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.96/1.32 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.96/1.32 Y ) ],
% 0.96/1.32 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.96/1.32 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.96/1.32 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.96/1.32 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.32 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 X, Y ), X, Y, Y, Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.32 'c_Relation_Osym'( X, Z ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.96/1.32 'c_Relation_OId'( X ) ) ],
% 0.96/1.32 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.32 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.96/1.32 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.96/1.32 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.96/1.32 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.96/1.32 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.96/1.32 , Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.96/1.32 'c_Relation_OId__on'( X, Y ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.96/1.32 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.96/1.32 , Y ), X, Y ) ],
% 0.96/1.32 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.32 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 0.96/1.32 Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.96/1.32 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.96/1.32 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.32 X ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.96/1.32 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.96/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.32 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ) ), Z ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.32 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 0.96/1.32 , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.96/1.32 Y, Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.96/1.32 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.32 Y, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.96/1.32 ), 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X,
% 0.96/1.32 Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.32 Y, Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y, X ) ],
% 0.96/1.32 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 0.96/1.32 , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.96/1.32 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 0.96/1.32 'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 0.96/1.32 , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.32 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.96/1.32 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.96/1.32 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.96/1.32 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.96/1.32 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.96/1.32 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.96/1.32 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL(
% 0.96/1.32 'c_Predicate_Oinv__imagep'( X, Y, Z, T, U, W ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_Predicate_Oinv__imagep'( X, Y, Z, T, U, W ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.96/1.32 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'(
% 0.96/1.32 X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 0.96/1.32 , 'c_Relation_OImage'( Z, X, T, U ), U ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.96/1.32 , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 0.96/1.32 X, Z ), Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 0.96/1.32 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.96/1.32 ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.96/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'(
% 0.96/1.32 X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.96/1.32 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.96/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.96/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y,
% 0.96/1.32 Z ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.96/1.32 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.96/1.32 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.96/1.32 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.96/1.32 , 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 0.96/1.32 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X,
% 0.96/1.32 T, U, W ), V0, 'tc_prod'( T, U ), W ), W ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 Y, Z, T, U ), V0, 'tc_prod'( T, U ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 0.96/1.32 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 0.96/1.32 ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.96/1.32 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.96/1.32 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.96/1.32 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.96/1.32 , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.96/1.32 Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.96/1.32 , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 0.96/1.32 , Z, T ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.96/1.32 , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'(
% 0.96/1.32 Z, X, T, U ), U ) ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL(
% 0.96/1.32 'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.96/1.32 ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 0.96/1.32 , T, Z ), Z ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XtransI__1__1'( X, Y ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XtransI__1__3'( X, Y ), Y, Y ), X,
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XtransI__1__2'( X, Y ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XtransI__1__3'( X, Y ), Y, Y ), X,
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'( X, Y ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'( X, Y ), Y, Y ), X,
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'( X, Y ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'( X, Y ), Y, Y ), X,
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XtransI__1__1'( X, Y ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__XtransI__1__2'( X, Y ), Y, Y ), X,
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'( X, Y ),
% 0.96/1.32 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'( X, Y ), Y, Y ), X,
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_curry'( 'v_c', 't_a', 't_b', 't_c' ), 'v_x' ), 'v_y'
% 0.96/1.32 ), hAPP( 'v_c', 'c_Pair'( 'v_x', 'v_y', 't_a', 't_b' ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.32 , 'c_Pair'( W, V0, Z, T ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( Y, W
% 0.96/1.32 ), V0 ), U ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~(
% 0.96/1.32 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T,
% 0.96/1.32 U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 0.96/1.32 ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.96/1.32 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.96/1.32 'tc_prod'( T, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.96/1.32 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.96/1.32 'tc_prod'( T, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T )
% 0.96/1.32 , 'tc_prod'( T, Z ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.96/1.32 ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.32 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.32 , 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.96/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.32 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.96/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ),
% 0.96/1.32 ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.96/1.32 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.96/1.32 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.96/1.32 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.96/1.32 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.96/1.32 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T,
% 0.96/1.32 T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 0.96/1.32 , T, W ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.32 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.96/1.32 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 0.96/1.32 , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'(
% 0.96/1.32 Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.96/1.32 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.96/1.32 ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 0.96/1.32 , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 0.96/1.32 , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 0.96/1.32 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 0.96/1.32 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 'c_Relation_Osym'( T, Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 'c_Relation_Osym'( T, Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W,
% 0.96/1.32 Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 0.96/1.32 , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 0.96/1.32 , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.32 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.96/1.32 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.32 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.96/1.32 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.96/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.96/1.32 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_FunDef_Oin__rel'( 'v_R', 't_a', 't_b' ), 'v_x' ),
% 0.96/1.32 'v_y' ), 'c_in'( 'c_Pair'( 'v_x', 'v_y', 't_a', 't_b' ), 'v_R', 'tc_prod'(
% 0.96/1.32 't_a', 't_b' ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.96/1.32 'tc_fun'( 't_b', 'tc_bool' ) ) ), 'v_x' ), 'v_y' ), 'c_in'( 'c_Pair'(
% 0.96/1.32 'v_x', 'v_y', 't_a', 't_b' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ) ), 'tc_prod'( 't_a', 't_b' ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Predicate_Oinv__imagep'( X, Y, 'v_x', 'v_y', Z, 't_a' ), hAPP(
% 0.96/1.32 hAPP( X, hAPP( Y, 'v_x' ) ), hAPP( Y, 'v_y' ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.96/1.32 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.96/1.32 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( W, Z, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( W, Z, T ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.96/1.33 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.96/1.33 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.96/1.33 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.96/1.33 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.96/1.33 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~(
% 0.96/1.33 hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.96/1.33 'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.96/1.33 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.96/1.33 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Relation_Otrans'( T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Relation_Otrans'( T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.96/1.33 [ ~( =( 'v_x', 'v_y' ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( 'v_y', 'v_x',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_y',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), =( Y, X ) ],
% 0.96/1.33 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.33 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.96/1.33 Y ) ) ],
% 0.96/1.33 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.96/1.33 [ 'c_fequal'( X, X, Y ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.96/1.33 ] .
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 percentage equality = 0.232057, percentage horn = 0.893443
% 0.96/1.33 This is a problem with some equality
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Options Used:
% 0.96/1.33
% 0.96/1.33 useres = 1
% 0.96/1.33 useparamod = 1
% 0.96/1.33 useeqrefl = 1
% 0.96/1.33 useeqfact = 1
% 0.96/1.33 usefactor = 1
% 0.96/1.33 usesimpsplitting = 0
% 0.96/1.33 usesimpdemod = 5
% 0.96/1.33 usesimpres = 3
% 0.96/1.33
% 0.96/1.33 resimpinuse = 1000
% 0.96/1.33 resimpclauses = 20000
% 0.96/1.33 substype = eqrewr
% 0.96/1.33 backwardsubs = 1
% 0.96/1.33 selectoldest = 5
% 0.96/1.33
% 0.96/1.33 litorderings [0] = split
% 0.96/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.33
% 0.96/1.33 termordering = kbo
% 0.96/1.33
% 0.96/1.33 litapriori = 0
% 0.96/1.33 termapriori = 1
% 0.96/1.33 litaposteriori = 0
% 0.96/1.33 termaposteriori = 0
% 0.96/1.33 demodaposteriori = 0
% 0.96/1.33 ordereqreflfact = 0
% 0.96/1.33
% 0.96/1.33 litselect = negord
% 0.96/1.33
% 0.96/1.33 maxweight = 15
% 0.96/1.33 maxdepth = 30000
% 0.96/1.33 maxlength = 115
% 0.96/1.33 maxnrvars = 195
% 0.96/1.33 excuselevel = 1
% 0.96/1.33 increasemaxweight = 1
% 0.96/1.33
% 0.96/1.33 maxselected = 10000000
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33
% 0.96/1.33 showgenerated = 0
% 0.96/1.33 showkept = 0
% 0.96/1.33 showselected = 0
% 0.96/1.33 showdeleted = 0
% 0.96/1.33 showresimp = 1
% 0.96/1.33 showstatus = 2000
% 0.96/1.33
% 0.96/1.33 prologoutput = 1
% 0.96/1.33 nrgoals = 5000000
% 0.96/1.33 totalproof = 1
% 0.96/1.33
% 0.96/1.33 Symbols occurring in the translation:
% 0.96/1.33
% 0.96/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.33 . [1, 2] (w:1, o:97, a:1, s:1, b:0),
% 0.96/1.33 ! [4, 1] (w:0, o:76, a:1, s:1, b:0),
% 0.96/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 'tc_bool' [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.96/1.33 'tc_fun' [43, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.96/1.33 'c_COMBK' [45, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.96/1.33 'c_Product__Type_OSigma' [46, 4] (w:1, o:183, a:1, s:1, b:0),
% 0.96/1.33 'tc_prod' [48, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.96/1.33 'c_lessequals' [49, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.96/1.33 'c_in' [51, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.96/1.33 hBOOL [52, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.96/1.33 'c_Set_Oinsert' [53, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.96/1.33 'c_Orderings_Obot__class_Obot' [54, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus' [55, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.96/1.33 'c_Transitive__Closure_Otrancl' [57, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.96/1.33
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf' [59, 3] (w:1, o:164, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_Relation_Orel__comp' [60, 5] (w:1, o:205, a:1, s:1, b:0),
% 0.96/1.33 'class_Lattices_Olattice' [63, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.96/1.33 't_a' [66, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup' [67, 3] (w:1, o:165, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'v_x' [68, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.96/1.33 hAPP [69, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_ODomain' [70, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.96/1.33 'class_Lattices_Odistrib__lattice' [71, 1] (w:1, o:84, a:1, s:1, b:0)
% 0.96/1.33 ,
% 0.96/1.33 'c_Relation_OId__on' [74, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Orefl__on' [75, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.96/1.33 'class_Lattices_Oupper__semilattice' [76, 1] (w:1, o:85, a:1, s:1, b:
% 0.96/1.33 0),
% 0.96/1.33 'c_Relation_OImage' [82, 4] (w:1, o:184, a:1, s:1, b:0),
% 0.96/1.33 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [85, 3] (w:1, o:166, a:
% 0.96/1.33 1, s:1, b:0),
% 0.96/1.33 'c_Wellfounded_Owf' [86, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.96/1.33 'class_OrderedGroup_Oab__group__add' [89, 1] (w:1, o:86, a:1, s:1, b:
% 0.96/1.33 0),
% 0.96/1.33 'c_Set_Oimage' [92, 4] (w:1, o:186, a:1, s:1, b:0),
% 0.96/1.33 'class_Lattices_Olower__semilattice' [93, 1] (w:1, o:87, a:1, s:1, b:
% 0.96/1.33 0),
% 0.96/1.33 'c_Relation_ORange' [96, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [97, 3] (w:1, o:
% 0.96/1.33 167, a:1, s:1, b:0),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl' [98, 2] (w:1, o:128, a:1, s:1, b:0)
% 0.96/1.33 ,
% 0.96/1.33 'class_Orderings_Obot' [99, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.96/1.33 'c_Pair' [100, 4] (w:1, o:187, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Osym' [101, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.96/1.33 'class_Lattices_Obounded__lattice' [102, 1] (w:1, o:89, a:1, s:1, b:0
% 0.96/1.33 ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [106, 3] (w:1, o:
% 0.96/1.33 168, a:1, s:1, b:0),
% 0.96/1.33 'c_Wellfounded_Oacyclic' [107, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Oconverse' [108, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Oorder' [109, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_OField' [111, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Ototal__on' [112, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.96/1.33 'c_Order__Relation_Ostrict__linear__order__on' [113, 3] (w:1, o:169
% 0.96/1.33 , a:1, s:1, b:0),
% 0.96/1.33 'class_HOL_Ominus' [115, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.96/1.33 'v_r' [116, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.96/1.33 'c_Wellfounded_Oacc' [118, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [120, 3]
% 0.96/1.33 (w:1, o:170, a:1, s:1, b:0),
% 0.96/1.33 'c_List_Osko__Recdef__Xcuts__eq__1__1' [121, 6] (w:1, o:210, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_Recdef_Ocut' [122, 5] (w:1, o:206, a:1, s:1, b:0),
% 0.96/1.33 'class_HOL_Oord' [123, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.96/1.33 'c_snd' [125, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Otrans' [128, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Opreorder' [129, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Oantisym' [130, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Osingle__valued' [131, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.96/1.33 'class_OrderedGroup_Opordered__ab__group__add' [132, 1] (w:1, o:94
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% 0.96/1.33 'c_Equiv__Relations_Oequiv' [134, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Olinorder' [135, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Oirrefl' [136, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 0.96/1.33 [137, 4] (w:1, o:188, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 0.96/1.33 [138, 4] (w:1, o:189, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [139, 4
% 0.96/1.33 ] (w:1, o:190, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [140, 4
% 0.96/1.33 ] (w:1, o:191, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_OId' [141, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.96/1.33 'c_FunDef_Oin__rel' [142, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.96/1.33 'c_Wellfounded_OwfP' [143, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [144, 5] (w:1, o:
% 0.96/1.33 207, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [145, 4]
% 0.96/1.33 (w:1, o:192, a:1, s:1, b:0),
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [146
% 5.86/6.27 , 4] (w:1, o:193, a:1, s:1, b:0),
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% 5.86/6.27 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [151
% 5.86/6.27 , 2] (w:1, o:138, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [152,
% 5.86/6.27 4] (w:1, o:194, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [153, 4]
% 5.86/6.27 (w:1, o:195, a:1, s:1, b:0),
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% 5.86/6.27 (w:1, o:197, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [156, 4]
% 5.86/6.27 (w:1, o:196, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [157, 7] (w:1
% 5.86/6.27 , o:213, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [158, 2] (w:1, o:139, a:1
% 5.86/6.27 , s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [159, 2] (w:1
% 5.86/6.27 , o:140, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [160, 2] (w:1, o:
% 5.86/6.27 141, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [161, 3] (w:1, o:175
% 5.86/6.27 , a:1, s:1, b:0),
% 5.86/6.27 't_b' [162, 0] (w:1, o:62, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [163, 2] (w:1, o:
% 5.86/6.27 142, a:1, s:1, b:0),
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% 5.86/6.27 'c_split' [168, 4] (w:1, o:199, a:1, s:1, b:0),
% 5.86/6.27 'c_Relation_Oinv__image' [169, 4] (w:1, o:185, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [170, 5] (w:1, o:208
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% 5.86/6.27 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [171, 3] (w:1
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% 5.86/6.27 1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [173, 3]
% 5.86/6.27 (w:1, o:177, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [174, 5] (w:1, o:
% 5.86/6.27 209, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [175, 3] (w:
% 5.86/6.27 1, o:178, a:1, s:1, b:0),
% 5.86/6.27 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [177, 3]
% 5.86/6.27 (w:1, o:179, a:1, s:1, b:0),
% 5.86/6.27 'v_sko__Wellfounded__Xacc__Xinduct__1' [178, 2] (w:1, o:146, a:1, s:1
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% 5.86/6.27 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [179, 3] (w:1, o:
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% 5.86/6.27 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [180, 3] (w:1
% 5.86/6.27 , o:181, a:1, s:1, b:0),
% 5.86/6.27 'c_Equiv__Relations_Ocongruent' [182, 4] (w:1, o:200, a:1, s:1, b:0)
% 5.86/6.27 ,
% 5.86/6.27 'c_Equiv__Relations_Ocongruent2' [184, 6] (w:1, o:211, a:1, s:1, b:0)
% 5.86/6.27 ,
% 5.86/6.27 'c_Predicate_Oinv__imagep' [185, 6] (w:1, o:212, a:1, s:1, b:0),
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% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__XtransI__1__3' [192, 2] (w:1, o:149
% 5.86/6.27 , a:1, s:1, b:0),
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% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2' [195, 2] (w:1, o:
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% 5.86/6.27 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3' [196, 2] (w:1, o:
% 5.86/6.27 152, a:1, s:1, b:0),
% 5.86/6.27 'v_c' [197, 0] (w:1, o:64, a:1, s:1, b:0),
% 5.86/6.27 't_c' [198, 0] (w:1, o:65, a:1, s:1, b:0),
% 5.86/6.27 'v_y' [199, 0] (w:1, o:66, a:1, s:1, b:0),
% 23.15/23.53 'v_R' [204, 0] (w:1, o:69, a:1, s:1, b:0),
% 23.15/23.53 'v_L' [207, 0] (w:1, o:70, a:1, s:1, b:0),
% 23.15/23.53 'tc_Arrow__Order__Mirabelle_Oalt' [208, 0] (w:1, o:71, a:1, s:1, b:0)
% 23.15/23.53 ,
% 23.15/23.53 'c_fequal' [211, 3] (w:1, o:182, a:1, s:1, b:0).
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Starting Search:
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 5013
% 23.15/23.53 Kept: 2018
% 23.15/23.53 Inuse: 168
% 23.15/23.53 Deleted: 3
% 23.15/23.53 Deletedinuse: 0
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 11550
% 23.15/23.53 Kept: 4075
% 23.15/23.53 Inuse: 313
% 23.15/23.53 Deleted: 4
% 23.15/23.53 Deletedinuse: 1
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 19842
% 23.15/23.53 Kept: 6102
% 23.15/23.53 Inuse: 462
% 23.15/23.53 Deleted: 7
% 23.15/23.53 Deletedinuse: 3
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 29393
% 23.15/23.53 Kept: 8255
% 23.15/23.53 Inuse: 504
% 23.15/23.53 Deleted: 12
% 23.15/23.53 Deletedinuse: 5
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 51021
% 23.15/23.53 Kept: 11553
% 23.15/23.53 Inuse: 557
% 23.15/23.53 Deleted: 14
% 23.15/23.53 Deletedinuse: 5
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 65679
% 23.15/23.53 Kept: 13603
% 23.15/23.53 Inuse: 562
% 23.15/23.53 Deleted: 14
% 23.15/23.53 Deletedinuse: 5
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 75433
% 23.15/23.53 Kept: 15669
% 23.15/23.53 Inuse: 622
% 23.15/23.53 Deleted: 14
% 23.15/23.53 Deletedinuse: 5
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 89576
% 23.15/23.53 Kept: 17689
% 23.15/23.53 Inuse: 690
% 23.15/23.53 Deleted: 16
% 23.15/23.53 Deletedinuse: 5
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 99097
% 23.15/23.53 Kept: 19800
% 23.15/23.53 Inuse: 725
% 23.15/23.53 Deleted: 18
% 23.15/23.53 Deletedinuse: 7
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying clauses:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 107149
% 23.15/23.53 Kept: 21859
% 23.15/23.53 Inuse: 750
% 23.15/23.53 Deleted: 260
% 23.15/23.53 Deletedinuse: 7
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 130025
% 23.15/23.53 Kept: 23925
% 23.15/23.53 Inuse: 782
% 23.15/23.53 Deleted: 260
% 23.15/23.53 Deletedinuse: 7
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 156577
% 23.15/23.53 Kept: 26119
% 23.15/23.53 Inuse: 825
% 23.15/23.53 Deleted: 260
% 23.15/23.53 Deletedinuse: 7
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 169567
% 23.15/23.53 Kept: 28163
% 23.15/23.53 Inuse: 877
% 23.15/23.53 Deleted: 268
% 23.15/23.53 Deletedinuse: 12
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 186176
% 23.15/23.53 Kept: 30890
% 23.15/23.53 Inuse: 917
% 23.15/23.53 Deleted: 271
% 23.15/23.53 Deletedinuse: 15
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 203785
% 23.15/23.53 Kept: 33001
% 23.15/23.53 Inuse: 952
% 23.15/23.53 Deleted: 275
% 23.15/23.53 Deletedinuse: 19
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 221633
% 23.15/23.53 Kept: 35014
% 23.15/23.53 Inuse: 1003
% 23.15/23.53 Deleted: 277
% 23.15/23.53 Deletedinuse: 21
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.53 Done
% 23.15/23.53
% 23.15/23.53
% 23.15/23.53 Intermediate Status:
% 23.15/23.53 Generated: 235909
% 23.15/23.53 Kept: 37020
% 23.15/23.53 Inuse: 1042
% 23.15/23.53 Deleted: 277
% 23.15/23.53 Deletedinuse: 21
% 23.15/23.53
% 23.15/23.53 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54
% 23.15/23.54 Intermediate Status:
% 23.15/23.54 Generated: 255119
% 23.15/23.54 Kept: 39396
% 23.15/23.54 Inuse: 1095
% 23.15/23.54 Deleted: 277
% 23.15/23.54 Deletedinuse: 21
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54
% 23.15/23.54 Intermediate Status:
% 23.15/23.54 Generated: 273101
% 23.15/23.54 Kept: 42323
% 23.15/23.54 Inuse: 1117
% 23.15/23.54 Deleted: 278
% 23.15/23.54 Deletedinuse: 22
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54 Resimplifying clauses:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54
% 23.15/23.54 Intermediate Status:
% 23.15/23.54 Generated: 292759
% 23.15/23.54 Kept: 44467
% 23.15/23.54 Inuse: 1145
% 23.15/23.54 Deleted: 807
% 23.15/23.54 Deletedinuse: 22
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54
% 23.15/23.54 Intermediate Status:
% 23.15/23.54 Generated: 301711
% 23.15/23.54 Kept: 46603
% 23.15/23.54 Inuse: 1166
% 23.15/23.54 Deleted: 828
% 23.15/23.54 Deletedinuse: 24
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54
% 23.15/23.54 Intermediate Status:
% 23.15/23.54 Generated: 319384
% 23.15/23.54 Kept: 48629
% 23.15/23.54 Inuse: 1186
% 23.15/23.54 Deleted: 828
% 23.15/23.54 Deletedinuse: 24
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54 Resimplifying inuse:
% 23.15/23.54 Done
% 23.15/23.54
% 23.15/23.54
% 23.15/23.54 Intermediate Status:
% 23.15/23.54 Generated: 339672
% 23.15/23.54 Kept: 50841
% 23.15/23.54 Inuse: 1231
% 23.15/23.54 Deleted: 831
% 64.23/64.66 Deletedinuse: 27
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 358715
% 64.23/64.66 Kept: 52852
% 64.23/64.66 Inuse: 1280
% 64.23/64.66 Deleted: 832
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 373449
% 64.23/64.66 Kept: 55809
% 64.23/64.66 Inuse: 1294
% 64.23/64.66 Deleted: 834
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 390679
% 64.23/64.66 Kept: 57890
% 64.23/64.66 Inuse: 1309
% 64.23/64.66 Deleted: 834
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 404092
% 64.23/64.66 Kept: 60585
% 64.23/64.66 Inuse: 1319
% 64.23/64.66 Deleted: 834
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 416339
% 64.23/64.66 Kept: 63063
% 64.23/64.66 Inuse: 1324
% 64.23/64.66 Deleted: 834
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying clauses:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 428738
% 64.23/64.66 Kept: 65568
% 64.23/64.66 Inuse: 1329
% 64.23/64.66 Deleted: 1179
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 450765
% 64.23/64.66 Kept: 70005
% 64.23/64.66 Inuse: 1354
% 64.23/64.66 Deleted: 1179
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 466711
% 64.23/64.66 Kept: 73175
% 64.23/64.66 Inuse: 1364
% 64.23/64.66 Deleted: 1179
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 483120
% 64.23/64.66 Kept: 76448
% 64.23/64.66 Inuse: 1374
% 64.23/64.66 Deleted: 1179
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 496372
% 64.23/64.66 Kept: 78456
% 64.23/64.66 Inuse: 1399
% 64.23/64.66 Deleted: 1179
% 64.23/64.66 Deletedinuse: 28
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 505649
% 64.23/64.66 Kept: 80863
% 64.23/64.66 Inuse: 1424
% 64.23/64.66 Deleted: 1182
% 64.23/64.66 Deletedinuse: 31
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 513414
% 64.23/64.66 Kept: 83054
% 64.23/64.66 Inuse: 1444
% 64.23/64.66 Deleted: 1182
% 64.23/64.66 Deletedinuse: 31
% 64.23/64.66
% 64.23/64.66 Resimplifying clauses:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 524463
% 64.23/64.66 Kept: 85090
% 64.23/64.66 Inuse: 1459
% 64.23/64.66 Deleted: 1290
% 64.23/64.66 Deletedinuse: 31
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 537321
% 64.23/64.66 Kept: 87272
% 64.23/64.66 Inuse: 1499
% 64.23/64.66 Deleted: 1293
% 64.23/64.66 Deletedinuse: 34
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 549585
% 64.23/64.66 Kept: 89619
% 64.23/64.66 Inuse: 1539
% 64.23/64.66 Deleted: 1294
% 64.23/64.66 Deletedinuse: 35
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 557915
% 64.23/64.66 Kept: 91807
% 64.23/64.66 Inuse: 1559
% 64.23/64.66 Deleted: 1296
% 64.23/64.66 Deletedinuse: 37
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 571595
% 64.23/64.66 Kept: 93817
% 64.23/64.66 Inuse: 1580
% 64.23/64.66 Deleted: 1297
% 64.23/64.66 Deletedinuse: 38
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 585932
% 64.23/64.66 Kept: 95993
% 64.23/64.66 Inuse: 1609
% 64.23/64.66 Deleted: 1297
% 64.23/64.66 Deletedinuse: 38
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 604933
% 64.23/64.66 Kept: 100261
% 64.23/64.66 Inuse: 1624
% 64.23/64.66 Deleted: 1297
% 64.23/64.66 Deletedinuse: 38
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 628487
% 64.23/64.66 Kept: 102310
% 64.23/64.66 Inuse: 1644
% 64.23/64.66 Deleted: 1299
% 64.23/64.66 Deletedinuse: 38
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying clauses:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 687711
% 64.23/64.66 Kept: 104504
% 64.23/64.66 Inuse: 1667
% 64.23/64.66 Deleted: 1847
% 64.23/64.66 Deletedinuse: 41
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 700046
% 64.23/64.66 Kept: 106893
% 64.23/64.66 Inuse: 1687
% 64.23/64.66 Deleted: 1847
% 64.23/64.66 Deletedinuse: 41
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 719472
% 64.23/64.66 Kept: 108990
% 64.23/64.66 Inuse: 1742
% 64.23/64.66 Deleted: 1847
% 64.23/64.66 Deletedinuse: 41
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 735552
% 64.23/64.66 Kept: 111914
% 64.23/64.66 Inuse: 1767
% 64.23/64.66 Deleted: 1847
% 64.23/64.66 Deletedinuse: 41
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66 Resimplifying inuse:
% 64.23/64.66 Done
% 64.23/64.66
% 64.23/64.66
% 64.23/64.66 Intermediate Status:
% 64.23/64.66 Generated: 754456
% 64.23/64.66 Kept: 114119
% 64.23/64.66 Inuse: 1810
% 199.97/200.50 Deleted: 1849
% 199.97/200.50 Deletedinuse: 41
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 769211
% 199.97/200.50 Kept: 116156
% 199.97/200.50 Inuse: 1847
% 199.97/200.50 Deleted: 1857
% 199.97/200.50 Deletedinuse: 41
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 784874
% 199.97/200.50 Kept: 118165
% 199.97/200.50 Inuse: 1890
% 199.97/200.50 Deleted: 1859
% 199.97/200.50 Deletedinuse: 41
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 812869
% 199.97/200.50 Kept: 120901
% 199.97/200.50 Inuse: 1900
% 199.97/200.50 Deleted: 1859
% 199.97/200.50 Deletedinuse: 41
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 823989
% 199.97/200.50 Kept: 122935
% 199.97/200.50 Inuse: 1918
% 199.97/200.50 Deleted: 1861
% 199.97/200.50 Deletedinuse: 42
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying clauses:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 833542
% 199.97/200.50 Kept: 125310
% 199.97/200.50 Inuse: 1934
% 199.97/200.50 Deleted: 2548
% 199.97/200.50 Deletedinuse: 43
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 846041
% 199.97/200.50 Kept: 127697
% 199.97/200.50 Inuse: 1954
% 199.97/200.50 Deleted: 2548
% 199.97/200.50 Deletedinuse: 43
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 871839
% 199.97/200.50 Kept: 133171
% 199.97/200.50 Inuse: 1974
% 199.97/200.50 Deleted: 2548
% 199.97/200.50 Deletedinuse: 43
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 879756
% 199.97/200.50 Kept: 135198
% 199.97/200.50 Inuse: 1993
% 199.97/200.50 Deleted: 2555
% 199.97/200.50 Deletedinuse: 44
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 906432
% 199.97/200.50 Kept: 138817
% 199.97/200.50 Inuse: 2003
% 199.97/200.50 Deleted: 2569
% 199.97/200.50 Deletedinuse: 48
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 916860
% 199.97/200.50 Kept: 141238
% 199.97/200.50 Inuse: 2025
% 199.97/200.50 Deleted: 2572
% 199.97/200.50 Deletedinuse: 48
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 928209
% 199.97/200.50 Kept: 143825
% 199.97/200.50 Inuse: 2045
% 199.97/200.50 Deleted: 2580
% 199.97/200.50 Deletedinuse: 56
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying clauses:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 936931
% 199.97/200.50 Kept: 145842
% 199.97/200.50 Inuse: 2062
% 199.97/200.50 Deleted: 3659
% 199.97/200.50 Deletedinuse: 56
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 958539
% 199.97/200.50 Kept: 148377
% 199.97/200.50 Inuse: 2070
% 199.97/200.50 Deleted: 3660
% 199.97/200.50 Deletedinuse: 57
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 979947
% 199.97/200.50 Kept: 153174
% 199.97/200.50 Inuse: 2080
% 199.97/200.50 Deleted: 3660
% 199.97/200.50 Deletedinuse: 57
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1002175
% 199.97/200.50 Kept: 157908
% 199.97/200.50 Inuse: 2090
% 199.97/200.50 Deleted: 3661
% 199.97/200.50 Deletedinuse: 58
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1009542
% 199.97/200.50 Kept: 160077
% 199.97/200.50 Inuse: 2110
% 199.97/200.50 Deleted: 3664
% 199.97/200.50 Deletedinuse: 61
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1019034
% 199.97/200.50 Kept: 162078
% 199.97/200.50 Inuse: 2126
% 199.97/200.50 Deleted: 3664
% 199.97/200.50 Deletedinuse: 61
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying clauses:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1034146
% 199.97/200.50 Kept: 164588
% 199.97/200.50 Inuse: 2150
% 199.97/200.50 Deleted: 4138
% 199.97/200.50 Deletedinuse: 62
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1043922
% 199.97/200.50 Kept: 166799
% 199.97/200.50 Inuse: 2170
% 199.97/200.50 Deleted: 4138
% 199.97/200.50 Deletedinuse: 62
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1052684
% 199.97/200.50 Kept: 168814
% 199.97/200.50 Inuse: 2193
% 199.97/200.50 Deleted: 4139
% 199.97/200.50 Deletedinuse: 63
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1082644
% 199.97/200.50 Kept: 172356
% 199.97/200.50 Inuse: 2205
% 199.97/200.50 Deleted: 4140
% 199.97/200.50 Deletedinuse: 64
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1112783
% 199.97/200.50 Kept: 176204
% 199.97/200.50 Inuse: 2225
% 199.97/200.50 Deleted: 4140
% 199.97/200.50 Deletedinuse: 64
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1134158
% 199.97/200.50 Kept: 178570
% 199.97/200.50 Inuse: 2230
% 199.97/200.50 Deleted: 4140
% 199.97/200.50 Deletedinuse: 64
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50 Resimplifying inuse:
% 199.97/200.50 Done
% 199.97/200.50
% 199.97/200.50
% 199.97/200.50 Intermediate Status:
% 199.97/200.50 Generated: 1145138
% 199.97/200.50 Kept: 180607
% 199.97/200.50 Inuse: 2249
% 199.97/200.50 Deleted: 4141
% 199.97/200.50 DeleteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------