TSTP Solution File: SCT004-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT004-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 21:00:27 EDT 2022
% Result : Timeout 300.05s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SCT004-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Fri Jul 1 22:18:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.94/1.34 *** allocated 10000 integers for termspace/termends
% 0.94/1.34 *** allocated 10000 integers for clauses
% 0.94/1.34 *** allocated 10000 integers for justifications
% 0.94/1.34 *** allocated 15000 integers for termspace/termends
% 0.94/1.34 *** allocated 22500 integers for termspace/termends
% 0.94/1.34 Bliksem 1.12
% 0.94/1.34
% 0.94/1.34
% 0.94/1.34 Automatic Strategy Selection
% 0.94/1.34
% 0.94/1.34 Clauses:
% 0.94/1.34 [
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.34 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.94/1.34 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.34 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.94/1.34 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.94/1.34 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 0.94/1.34 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 0.94/1.34 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 0.94/1.34 ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.94/1.34 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.94/1.34 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.94/1.34 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.94/1.34 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.94/1.34 hBOOL( 'c_in'( W, Y, Z ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.34 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.94/1.34 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.94/1.34 ~( hBOOL( 'c_in'( W, T, U ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.94/1.34 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.94/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.34 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.94/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.94/1.34 ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.34 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 , X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.94/1.34 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.94/1.34 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.94/1.34 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.94/1.34 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.94/1.34 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.94/1.34 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.94/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.94/1.34 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.34 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.94/1.34 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.94/1.34 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.94/1.34 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_Relation_OImage'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.34 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.34 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.94/1.34 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.94/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.94/1.34 [ =( X, 'c_Pair'( hAPP( 'c_fst'( Y, Z ), X ), hAPP( 'c_snd'( Y, Z ), X )
% 0.94/1.34 , Y, Z ) ) ],
% 0.94/1.34 [ =( 'c_Pair'( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), Z ), X
% 0.94/1.34 , Y ), Z ) ],
% 0.94/1.34 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.94/1.34 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, T ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.94/1.34 , T, X ) ) ), =( Y, Z ) ],
% 0.94/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.94/1.34 , T, X ) ) ), =( Z, T ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.94/1.34 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.94/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.94/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.94/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.94/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.94/1.34 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.94/1.34 X, T ), Y ) ) ) ],
% 0.94/1.34 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.94/1.34 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.94/1.34 , Z, T ), Z ) ) ],
% 0.94/1.34 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.94/1.34 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.94/1.34 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.94/1.34 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.94/1.34 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34 ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.34 ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.34 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.34 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.34 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.34 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.34 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.94/1.34 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.94/1.34 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.94/1.34 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.94/1.34 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.94/1.34 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.94/1.34 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.34 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.94/1.34 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.94/1.34 X, 'tc_bool' ) ), Y ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.94/1.34 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.94/1.34 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.94/1.34 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.94/1.34 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.94/1.34 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.94/1.34 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.94/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.94/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.94/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.94/1.34 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.94/1.34 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.94/1.34 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.94/1.34 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.94/1.34 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.94/1.34 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.94/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.94/1.34 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.94/1.34 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.94/1.34 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.94/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.94/1.34 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.94/1.34 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ =( hAPP( 'c_split'( X, Y, Z, T ), U ), hAPP( hAPP( X, hAPP( 'c_fst'( Y
% 0.94/1.34 , Z ), U ) ), hAPP( 'c_snd'( Y, Z ), U ) ) ) ],
% 0.94/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.34 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.94/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.94/1.34 'c_lessequals'( Y, Z, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.94/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.94/1.34 ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 ],
% 0.94/1.34 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.94/1.34 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.94/1.34 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.34 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.34 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.94/1.34 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.34 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.94/1.34 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.94/1.34 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.94/1.34 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.34 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.34 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.94/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.34 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.34 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.94/1.34 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.94/1.34 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Relation_Oconverse'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.94/1.34 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.94/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.94/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.94/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.34 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.94/1.34 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.34 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.94/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.94/1.34 'c_in'( X, T, Z ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.94/1.34 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.94/1.34 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.34 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.94/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.94/1.34 ,
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.34 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.94/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.94/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.94/1.34 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.94/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.94/1.34 Y, Z ) ) ],
% 0.94/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.34 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Relation_OField'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.94/1.34 'tc_prod'( Z, Z ) ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 'c_Relation_OField'( T, Z ),
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ),
% 0.94/1.34 'c_Relation_OField'( X, Y ) ) ],
% 0.94/1.34 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.34 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.94/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.94/1.34 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.34 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.94/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.94/1.34 ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.94/1.34 'c_in'( Y, X, T ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.94/1.34 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.94/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.94/1.34 'c_in'( Y, X, T ) ) ],
% 0.94/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.94/1.34 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.94/1.34 T, X, Z ) ) ],
% 0.94/1.34 [ =( 'c_Relation_Oconverse'(
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.34 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.94/1.34 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.94/1.34 'tc_bool' ) ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.94/1.34 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.34 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.94/1.34 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.34 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.94/1.34 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.94/1.34 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.94/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.94/1.34 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.34 ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.94/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.94/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.94/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.94/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Orel__comp'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.98/1.34 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.98/1.34 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Orel__comp'( X,
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.34 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.98/1.34 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 0.98/1.34 , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.98/1.34 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.98/1.34 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.98/1.34 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.98/1.34 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 Z, T, X ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 T, Z, X ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.98/1.34 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.98/1.34 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 Z, T, X ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 T, Z, X ), X ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OField'( 'v_r', 't_a' ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 0.98/1.34 , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'(
% 0.98/1.34 't_a', 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.98/1.34 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.98/1.34 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.98/1.34 ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.98/1.34 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.98/1.34 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.98/1.34 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.34 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.34 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.98/1.34 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.98/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.98/1.34 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.98/1.34 Z, T ), T ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.98/1.34 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.98/1.34 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.98/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.98/1.34 , Z ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.98/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.98/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.98/1.34 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.98/1.34 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.98/1.34 U, W ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.98/1.34 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.98/1.34 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 X, Z, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 X, Z, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.98/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.98/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.98/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.98/1.34 , T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.98/1.34 , T ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.98/1.34 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( hAPP( 'c_fst'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), Z ) ],
% 0.98/1.34 [ =( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( X, T, Y, Z ) ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_snd'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), T ) ],
% 0.98/1.34 [ =( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, X, Y, Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.98/1.34 ~( hBOOL( hAPP( W, U ) ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.98/1.34 ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( W, T ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.98/1.34 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.34 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.98/1.34 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 0.98/1.34 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.98/1.34 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.34 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.34 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.98/1.34 'c_in'( X, Y, Z ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.98/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ), X ) ],
% 0.98/1.34 [ =( 'c_Relation_OField'( X, Y ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.98/1.34 , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.98/1.34 Y, X ), Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.34 T, X ), Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.98/1.34 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.98/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.98/1.34 Y, X ), Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.34 T, X ), Z, X ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.98/1.34 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.98/1.34 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.98/1.34 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.98/1.34 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.98/1.34 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.98/1.34 ],
% 0.98/1.34 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.98/1.34 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.98/1.34 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.98/1.34 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.98/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.98/1.34 'c_Product__Type_OSigma'( 'c_Relation_OField'( X, Y ), 'c_COMBK'(
% 0.98/1.34 'c_Relation_OField'( X, Y ), 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ),
% 0.98/1.34 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.98/1.34 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.98/1.34 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.98/1.34 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( X, T ) ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.98/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.98/1.34 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.98/1.34 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.34 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.34 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.98/1.34 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.98/1.34 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.98/1.34 'tc_bool' ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.98/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.98/1.34 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.98/1.34 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) )
% 0.98/1.34 ), hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( X, U ), T ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.98/1.34 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.98/1.34 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.98/1.34 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.98/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.98/1.34 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.98/1.34 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.98/1.34 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.98/1.34 X, Z, T, U ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.98/1.34 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, U, U ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.98/1.34 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.98/1.34 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.34 ), =( X, Y ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( T, U
% 0.98/1.34 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Equiv__Relations_Oquotient'( T, U, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) )
% 0.98/1.34 , ~( 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.34 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.98/1.34 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.98/1.34 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.34 Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.98/1.34 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.98/1.34 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.98/1.34 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Equiv__Relations_Oquotient'( T, X, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.98/1.34 ~( hBOOL( 'c_in'( Y, T, Z ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'( W, Y, Z ) )
% 0.98/1.34 ), =( X, U ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.98/1.34 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.34 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.34 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.98/1.34 Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.98/1.34 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 0.98/1.34 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.98/1.34 ), 'tc_bool' ) ), X ) ],
% 0.98/1.34 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.98/1.34 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.98/1.34 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.98/1.34 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.34 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.98/1.34 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.98/1.34 'tc_bool' ) ), Z ) ) ],
% 0.98/1.34 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.98/1.34 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.98/1.34 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.98/1.34 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.98/1.34 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.98/1.34 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.98/1.34 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.98/1.34 ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.98/1.34 X, X ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.98/1.34 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.34 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.98/1.34 ) ), Y ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.98/1.34 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.98/1.34 ) ), Y ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.98/1.34 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.98/1.34 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.98/1.34 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.98/1.34 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.98/1.34 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.98/1.34 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.34 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.98/1.34 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.34 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.98/1.34 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.98/1.34 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.98/1.34 ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.98/1.34 'c_Relation_Otrans'( X, Z ) ) ],
% 0.98/1.34 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.34 ), hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( T, U, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) )
% 0.98/1.34 ],
% 0.98/1.34 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.34 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( T, U, Z ) ) ),
% 0.98/1.34 ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.34 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.98/1.34 ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.98/1.34 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.98/1.34 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.98/1.34 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( Y, T,
% 0.98/1.34 Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.34 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.98/1.34 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.34 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.98/1.34 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, T, U, U ), W, 'tc_prod'( U,
% 0.98/1.34 U ) ) ) ), ~( hBOOL( 'c_in'( T, Y, U ) ) ), ~( hBOOL( 'c_in'( Z, X, U ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( V0, W, U ),
% 0.98/1.34 'tc_fun'( U, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.98/1.34 ), ~( 'c_Equiv__Relations_Oequiv'( V0, W, U ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( T, Y, Z ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z
% 0.98/1.34 , 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'(
% 0.98/1.34 U, W, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'(
% 0.98/1.34 U, W, Z ) ), hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ), W, 'tc_prod'( Z, Z )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.98/1.34 U ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) )
% 0.98/1.34 ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.98/1.34 T ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.98/1.34 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.98/1.34 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T
% 0.98/1.34 , Y, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.98/1.34 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 0.98/1.34 , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.98/1.34 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.98/1.34 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.98/1.34 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.98/1.34 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.98/1.34 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.98/1.34 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.98/1.34 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.98/1.34 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.98/1.34 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.98/1.34 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OImage'( X,
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.98/1.34 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.98/1.34 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.98/1.34 [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.98/1.34 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.98/1.34 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.98/1.34 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.98/1.34 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.98/1.34 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.98/1.34 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.98/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.98/1.34 ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 0.98/1.34 , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.98/1.34 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.98/1.34 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.98/1.34 , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 0.98/1.34 ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ),
% 0.98/1.34 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.98/1.34 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.98/1.34 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.98/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.98/1.34 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.98/1.34 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.98/1.34 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 0.98/1.34 ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.98/1.34 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T,
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.98/1.34 ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T
% 0.98/1.34 , Z ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.98/1.34 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.98/1.34 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.98/1.34 ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.98/1.34 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.98/1.34 T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.98/1.34 T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 0.98/1.34 ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 0.98/1.34 ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.98/1.34 ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'(
% 0.98/1.34 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.98/1.34 'c_Wellfounded_Oacyclic'( Z, Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.98/1.34 Y, T, T ), Z, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T
% 0.98/1.34 ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.98/1.34 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ),
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.98/1.34 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.98/1.34 , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z,
% 0.98/1.34 T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.98/1.34 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Z
% 0.98/1.34 , T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T,
% 0.98/1.34 T ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.98/1.34 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.98/1.34 , 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.98/1.34 ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'(
% 0.98/1.34 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T
% 0.98/1.34 , U ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 0.98/1.34 , U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 0.98/1.34 , U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T,
% 0.98/1.34 U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) )
% 0.98/1.34 ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.98/1.34 , Y, T, T ), Z, 'tc_prod'( T, T ) ) ), =( X, Y ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ),
% 0.98/1.34 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.98/1.34 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.98/1.34 T, T ) ) ), =( Y, Z ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.98/1.34 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), =( X, Z ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ),
% 0.98/1.34 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.98/1.34 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U )
% 0.98/1.34 ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.98/1.34 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.98/1.34 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.98/1.34 'tc_prod'( U, U ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.98/1.34 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.98/1.34 ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U,
% 0.98/1.34 U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.98/1.34 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.98/1.34 Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), 't_a',
% 0.98/1.34 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a',
% 0.98/1.34 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' )
% 0.98/1.34 , 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' )
% 0.98/1.34 ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.98/1.34 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y
% 0.98/1.34 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.98/1.34 ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.98/1.34 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z,
% 0.98/1.34 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.98/1.34 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.98/1.34 'tc_prod'( U, U ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.98/1.34 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.98/1.34 , =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X,
% 0.98/1.34 Y, Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Z, 'c_Product__Type_OSigma'( X
% 0.98/1.34 , Y, T, U ), 'tc_prod'( T, U ) ) ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.98/1.34 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( Y, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( 'c_Relation_Oantisym'(
% 0.98/1.34 X, Z ) ), ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z )
% 0.98/1.34 ), =( Y, T ) ],
% 0.98/1.34 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.98/1.34 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.98/1.34 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.98/1.34 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( 'c_lessequals'( U,
% 0.98/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.98/1.34 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.98/1.34 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( 'c_snd'( X, Y ), Z, 'tc_prod'( X, Y ), Y ),
% 0.98/1.34 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.98/1.34 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.98/1.34 , ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.98/1.34 ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.98/1.34 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ) ],
% 0.98/1.34 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.98/1.34 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.98/1.34 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), hBOOL( 'c_in'( 'c_Pair'( X, T,
% 0.98/1.34 Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( 'c_fst'( X, Y ), Z, 'tc_prod'( X, Y ), X ),
% 0.98/1.34 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.98/1.34 'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.98/1.34 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.98/1.34 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.98/1.34 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.98/1.34 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.98/1.34 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.98/1.34 X, U ), W ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.98/1.34 X, U ), W ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.98/1.34 , T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.98/1.34 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.98/1.34 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.98/1.34 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 0.98/1.34 , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U
% 0.98/1.34 ), U ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.98/1.34 'c_Relation_Osym'( X, Y ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.98/1.34 ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.98/1.34 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.98/1.34 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.98/1.34 'c_Relation_Osym'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.98/1.34 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 0.98/1.34 , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 0.98/1.34 , U ), U ) ) ) ],
% 0.98/1.34 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.98/1.34 ) ), Z, X ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 0.98/1.34 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.98/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.98/1.34 ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.98/1.34 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.98/1.34 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.98/1.34 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.98/1.34 'c_Relation_Osym'( X, Y ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.98/1.34 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.98/1.34 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.98/1.34 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.98/1.34 Y ) ],
% 0.98/1.34 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.98/1.34 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.98/1.34 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.98/1.34 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.98/1.34 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.98/1.34 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 X, Y ), X, Y, Y, Y ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.98/1.34 'c_Relation_Osym'( X, Z ) ) ],
% 0.98/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.98/1.34 'c_Relation_OId'( X ) ) ],
% 0.98/1.34 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.98/1.34 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.98/1.34 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.98/1.34 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.98/1.34 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.98/1.34 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.98/1.34 , Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.98/1.34 'c_Relation_OId__on'( X, Y ) ) ],
% 0.98/1.34 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.98/1.34 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.98/1.34 , Y ), X, Y ) ],
% 0.98/1.34 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.98/1.34 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.98/1.34 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 0.98/1.34 Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.98/1.34 ],
% 0.98/1.34 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.98/1.34 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.98/1.34 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.98/1.34 X ) ],
% 0.98/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.98/1.34 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.98/1.34 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.98/1.34 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.34 ) ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 0.98/1.34 , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.98/1.34 Y, Z ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.98/1.34 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.98/1.34 Y, Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X,
% 0.98/1.34 Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.98/1.34 Y, Z ) ) ],
% 0.98/1.34 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), Y, X ) ],
% 0.98/1.34 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.98/1.34 ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 0.98/1.34 , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.98/1.34 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 0.98/1.34 'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 0.98/1.34 , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.98/1.34 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.98/1.34 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.98/1.34 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.98/1.34 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.98/1.34 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.98/1.34 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.98/1.34 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.98/1.34 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.98/1.34 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.98/1.34 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.98/1.34 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.98/1.34 'c_Relation_Otrans'( X, Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'(
% 0.98/1.34 X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 0.98/1.34 , 'c_Relation_OImage'( Z, X, T, U ), U ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.98/1.34 , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 0.98/1.34 X, Z ), Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 0.98/1.34 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.98/1.34 ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.98/1.34 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'(
% 0.98/1.34 X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.98/1.34 'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.98/1.34 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.98/1.34 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.98/1.34 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y,
% 0.98/1.34 Z ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.98/1.34 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.98/1.34 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.98/1.34 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.98/1.34 , 'tc_prod'( Z, Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 0.98/1.34 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X,
% 0.98/1.34 T, U, W ), V0, 'tc_prod'( T, U ), W ), W ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 Y, Z, T, U ), V0, 'tc_prod'( T, U ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 0.98/1.34 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 0.98/1.34 ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.98/1.34 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.98/1.34 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.98/1.34 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.98/1.34 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.98/1.34 , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.98/1.34 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.98/1.34 Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.98/1.34 , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 0.98/1.34 , Z, T ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.98/1.34 , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'(
% 0.98/1.34 Z, X, T, U ), U ) ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL(
% 0.98/1.34 'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.98/1.34 ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 0.98/1.34 , T, Z ), Z ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XtransI__1__1'( X, Y ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XtransI__1__3'( X, Y ), Y, Y ), X,
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XtransI__1__2'( X, Y ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XtransI__1__3'( X, Y ), Y, Y ), X,
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'( X, Y ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'( X, Y ), Y, Y ), X,
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'( X, Y ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'( X, Y ), Y, Y ), X,
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XtransI__1__1'( X, Y ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__XtransI__1__2'( X, Y ), Y, Y ), X,
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'( X, Y ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'( X, Y ), Y, Y ), X,
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.98/1.34 , 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ), =( X, Y ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.98/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), =( Y, X ), ~( hBOOL( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.98/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) )
% 0.98/1.34 , 'c_Pair'( W, V0, Z, T ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( Y, W
% 0.98/1.34 ), V0 ), U ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~(
% 0.98/1.34 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T,
% 0.98/1.34 U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 0.98/1.34 ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.98/1.34 hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.98/1.34 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.98/1.34 'tc_prod'( T, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.98/1.34 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.98/1.34 'tc_prod'( T, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T )
% 0.98/1.34 , 'tc_prod'( T, Z ) ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.98/1.34 ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.34 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.98/1.34 , 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.98/1.34 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.98/1.34 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.98/1.34 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.98/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ),
% 0.98/1.34 ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.98/1.34 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.98/1.34 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.98/1.34 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.98/1.34 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.98/1.34 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T,
% 0.98/1.34 T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 0.98/1.34 , T, W ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.98/1.34 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.98/1.34 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 0.98/1.34 , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'(
% 0.98/1.34 Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.98/1.34 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.98/1.34 ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 0.98/1.34 , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 0.98/1.34 , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 0.98/1.34 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 0.98/1.34 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 'c_Relation_Osym'( T, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 'c_Relation_Osym'( T, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W,
% 0.98/1.34 Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 0.98/1.34 , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 0.98/1.34 , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.34 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.98/1.34 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.98/1.34 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.98/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.98/1.34 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.98/1.34 'tc_prod'( Y, Y ) ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.98/1.34 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.98/1.34 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.98/1.34 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.98/1.34 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( W, Z, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( W, Z, T ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.98/1.34 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.98/1.34 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.98/1.34 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.98/1.34 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.98/1.34 X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 0.98/1.34 ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.98/1.34 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~(
% 0.98/1.34 hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.98/1.34 'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.98/1.34 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.98/1.34 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 'c_Relation_Otrans'( T, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.98/1.34 'c_Relation_Otrans'( T, Z ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ), 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ), ~(
% 0.98/1.34 hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.98/1.34 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), =( X, Y ), 'c_Relation_Otrans'( 'v_L',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ],
% 0.98/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Z,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.98/1.34 [ 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ), hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), =( Y, X ) ],
% 0.98/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), hBOOL( 'c_in'( 'c_Pair'( Z, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), =( Z, Y ) ],
% 0.98/1.34 [ ~( =( 'v_x', 'v_xa' ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( =( 'v_x', 'v_xa' ) ), hBOOL(
% 0.98/1.34 'c_in'( 'c_Pair'( 'v_x', 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ],
% 0.98/1.34 [ ~( =( 'v_x', 'v_xa' ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.34 , 'v_xa', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.34 [ ~( =( 'v_x', 'v_xa' ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_xa'
% 0.98/1.34 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.34 [ ~( =( 'v_x', 'v_xa' ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_xa'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.35 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_xa',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 , ~( hBOOL( 'c_in'( 'c_Pair'( 'v_xa', 'v_x',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_xa', 'v_x',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 , ~( hBOOL( 'c_in'( 'c_Pair'( 'v_xa', 'v_x',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ ~( =( 'v_x', 'v_xa' ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_xa', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_x',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_Relation_Otrans'( 'v_L',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.98/1.35 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_xa',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 , ~( hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_xa',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_xa', 'v_x',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 , ~( hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_xa',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), hBOOL( 'c_in'( 'c_Pair'( 'v_x'
% 0.98/1.35 , 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), ~( 'c_Relation_Otrans'( 'v_L', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ],
% 0.98/1.35 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), hBOOL( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.35 ), =( X, Y ), hBOOL( 'c_in'( 'c_Pair'( Z, T,
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), hBOOL( 'c_in'( 'c_Pair'( T, Z,
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.35 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.35 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( T, Z ) ],
% 0.98/1.35 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.35 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.35 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.98/1.35 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.98/1.35 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Orderings_Opreorder'( Y ) ) ],
% 0.98/1.35 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Lattices_Olattice'( Y ) ) ],
% 0.98/1.35 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.35 'class_Orderings_Oorder'( Y ) ) ],
% 0.98/1.35 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.98/1.35 Y ) ) ],
% 0.98/1.35 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.98/1.35 [ 'c_fequal'( X, X, Y ) ],
% 0.98/1.35 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.98/1.35 ] .
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35 percentage equality = 0.230943, percentage horn = 0.884244
% 0.98/1.35 This is a problem with some equality
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35 Options Used:
% 0.98/1.35
% 0.98/1.35 useres = 1
% 0.98/1.35 useparamod = 1
% 0.98/1.35 useeqrefl = 1
% 0.98/1.35 useeqfact = 1
% 0.98/1.35 usefactor = 1
% 0.98/1.35 usesimpsplitting = 0
% 0.98/1.35 usesimpdemod = 5
% 0.98/1.35 usesimpres = 3
% 0.98/1.35
% 0.98/1.35 resimpinuse = 1000
% 0.98/1.35 resimpclauses = 20000
% 0.98/1.35 substype = eqrewr
% 0.98/1.35 backwardsubs = 1
% 0.98/1.35 selectoldest = 5
% 0.98/1.35
% 0.98/1.35 litorderings [0] = split
% 0.98/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.35
% 0.98/1.35 termordering = kbo
% 0.98/1.35
% 0.98/1.35 litapriori = 0
% 0.98/1.35 termapriori = 1
% 0.98/1.35 litaposteriori = 0
% 0.98/1.35 termaposteriori = 0
% 0.98/1.35 demodaposteriori = 0
% 0.98/1.35 ordereqreflfact = 0
% 0.98/1.35
% 0.98/1.35 litselect = negord
% 0.98/1.35
% 0.98/1.35 maxweight = 15
% 0.98/1.35 maxdepth = 30000
% 0.98/1.35 maxlength = 115
% 0.98/1.35 maxnrvars = 195
% 0.98/1.35 excuselevel = 1
% 0.98/1.35 increasemaxweight = 1
% 0.98/1.35
% 0.98/1.35 maxselected = 10000000
% 0.98/1.35 maxnrclauses = 10000000
% 0.98/1.35
% 0.98/1.35 showgenerated = 0
% 0.98/1.35 showkept = 0
% 0.98/1.35 showselected = 0
% 0.98/1.35 showdeleted = 0
% 0.98/1.35 showresimp = 1
% 0.98/1.35 showstatus = 2000
% 0.98/1.35
% 0.98/1.35 prologoutput = 1
% 0.98/1.35 nrgoals = 5000000
% 0.98/1.35 totalproof = 1
% 0.98/1.35
% 0.98/1.35 Symbols occurring in the translation:
% 0.98/1.35
% 0.98/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.35 . [1, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.98/1.35 ! [4, 1] (w:0, o:84, a:1, s:1, b:0),
% 0.98/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.35 'c_Set_Oinsert' [42, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.98/1.35 'tc_bool' [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.98/1.35 'tc_fun' [45, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.98/1.35 'c_Lattices_Olower__semilattice__class_Oinf' [46, 3] (w:1, o:169, a:1
% 0.98/1.35 , s:1, b:0),
% 0.98/1.35 'c_Orderings_Obot__class_Obot' [47, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus' [48, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.98/1.35 'class_Orderings_Obot' [49, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.98/1.35 'c_lessequals' [51, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.98/1.35 'tc_prod' [52, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.98/1.35 'c_Relation_Orel__comp' [56, 5] (w:1, o:214, a:1, s:1, b:0),
% 0.98/1.35 'c_Lattices_Oupper__semilattice__class_Osup' [57, 3] (w:1, o:172, a:1
% 0.98/1.35 , s:1, b:0),
% 0.98/1.35 'c_Transitive__Closure_Ortrancl' [59, 2] (w:1, o:132, a:1, s:1, b:0)
% 0.98/1.35 ,
% 0.98/1.35 'c_snd' [61, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.98/1.35 hAPP [63, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.98/1.35 'c_fst' [65, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.98/1.35 hBOOL [69, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.98/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [71, 3] (w:1, o:
% 0.98/1.35 173, a:1, s:1, b:0),
% 0.98/1.35 'c_Wellfounded_Owf' [72, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.98/1.35 'c_Relation_ORange' [73, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.98/1.35 'c_in' [75, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.98/1.35 'c_COMBK' [76, 3] (w:1, o:175, a:1, s:1, b:0),
% 0.98/1.35 'c_Product__Type_OSigma' [77, 4] (w:1, o:193, a:1, s:1, b:0),
% 0.98/1.35 'c_Transitive__Closure_Otrancl' [78, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.98/1.35
% 0.98/1.35 'class_Lattices_Olattice' [81, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.98/1.35 't_a' [84, 0] (w:1, o:45, a:1, s:1, b:0),
% 0.98/1.35 'v_x' [85, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.98/1.35 'c_Relation_ODomain' [86, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.98/1.35 'class_Lattices_Odistrib__lattice' [87, 1] (w:1, o:93, a:1, s:1, b:0)
% 0.98/1.35 ,
% 0.98/1.35 'c_Relation_OId__on' [90, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.98/1.35 'c_Relation_Orefl__on' [91, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.98/1.35 'class_Lattices_Oupper__semilattice' [92, 1] (w:1, o:94, a:1, s:1, b:
% 0.98/1.35 0),
% 0.98/1.35 'c_Relation_OImage' [95, 4] (w:1, o:194, a:1, s:1, b:0),
% 0.98/1.35 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [97, 3] (w:1, o:176, a:
% 0.98/1.35 1, s:1, b:0),
% 0.98/1.35 'c_Pair' [98, 4] (w:1, o:195, a:1, s:1, b:0),
% 0.98/1.35 'class_OrderedGroup_Oab__group__add' [101, 1] (w:1, o:95, a:1, s:1
% 0.98/1.35 , b:0),
% 0.98/1.35 'c_Set_Oimage' [104, 4] (w:1, o:197, a:1, s:1, b:0),
% 0.98/1.35 'class_Lattices_Olower__semilattice' [105, 1] (w:1, o:96, a:1, s:1
% 0.98/1.35 , b:0),
% 0.98/1.35 'c_Relation_Osym' [106, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.98/1.35 'class_Lattices_Obounded__lattice' [107, 1] (w:1, o:97, a:1, s:1, b:0
% 0.98/1.35 ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [111, 3] (w:1, o:
% 0.98/1.35 177, a:1, s:1, b:0),
% 0.98/1.35 'c_Wellfounded_Oacyclic' [112, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.98/1.35 'c_Relation_Oconverse' [113, 3] (w:1, o:165, a:1, s:1, b:0),
% 2.88/3.26 'class_Orderings_Oorder' [114, 1] (w:1, o:98, a:1, s:1, b:0),
% 2.88/3.26 'c_split' [115, 4] (w:1, o:198, a:1, s:1, b:0),
% 2.88/3.26 'c_Relation_Oantisym' [116, 2] (w:1, o:141, a:1, s:1, b:0),
% 2.88/3.26 'c_Relation_OField' [118, 2] (w:1, o:142, a:1, s:1, b:0),
% 2.88/3.26 'c_Relation_Ototal__on' [119, 3] (w:1, o:167, a:1, s:1, b:0),
% 2.88/3.26 'c_Order__Relation_Ostrict__linear__order__on' [120, 3] (w:1, o:178
% 2.88/3.26 , a:1, s:1, b:0),
% 2.88/3.26 'class_HOL_Ominus' [122, 1] (w:1, o:99, a:1, s:1, b:0),
% 2.88/3.26 'v_r' [123, 0] (w:1, o:70, a:1, s:1, b:0),
% 2.88/3.26 'c_Wellfounded_Oacc' [125, 2] (w:1, o:143, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [127, 3]
% 2.88/3.26 (w:1, o:179, a:1, s:1, b:0),
% 2.88/3.26 'c_List_Osko__Recdef__Xcuts__eq__1__1' [128, 6] (w:1, o:219, a:1, s:1
% 2.88/3.26 , b:0),
% 2.88/3.26 'c_Recdef_Ocut' [129, 5] (w:1, o:215, a:1, s:1, b:0),
% 2.88/3.26 'class_HOL_Oord' [130, 1] (w:1, o:100, a:1, s:1, b:0),
% 2.88/3.26 'c_Relation_Otrans' [131, 2] (w:1, o:144, a:1, s:1, b:0),
% 2.88/3.26 'class_Orderings_Opreorder' [132, 1] (w:1, o:101, a:1, s:1, b:0),
% 2.88/3.26 'c_Relation_Osingle__valued' [133, 3] (w:1, o:166, a:1, s:1, b:0),
% 2.88/3.26 'class_OrderedGroup_Opordered__ab__group__add' [134, 1] (w:1, o:102
% 2.88/3.26 , a:1, s:1, b:0),
% 2.88/3.26 'c_Equiv__Relations_Oequiv' [136, 3] (w:1, o:180, a:1, s:1, b:0),
% 2.88/3.26 'class_Orderings_Olinorder' [137, 1] (w:1, o:103, a:1, s:1, b:0),
% 2.88/3.26 'c_Relation_Oirrefl' [138, 2] (w:1, o:145, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 2.88/3.26 [139, 4] (w:1, o:199, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 2.88/3.26 [140, 4] (w:1, o:200, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [141, 4
% 2.88/3.26 ] (w:1, o:201, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [142, 4
% 2.88/3.26 ] (w:1, o:202, a:1, s:1, b:0),
% 2.88/3.26 'c_Equiv__Relations_Oquotient' [145, 3] (w:1, o:181, a:1, s:1, b:0),
% 2.88/3.26
% 2.88/3.26 'c_Relation_OId' [146, 1] (w:1, o:104, a:1, s:1, b:0),
% 2.88/3.26 'c_Relation_Oinv__image' [147, 4] (w:1, o:196, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [148, 4]
% 2.88/3.26 (w:1, o:203, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [149, 4]
% 2.88/3.26 (w:1, o:204, a:1, s:1, b:0),
% 2.88/3.26 'c_Nitpick_Orefl_H' [150, 2] (w:1, o:146, a:1, s:1, b:0),
% 2.88/3.26 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [151, 2] (w:1, o:147
% 2.88/3.26 , a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [152, 2] (w:1, o:
% 2.88/3.26 148, a:1, s:1, b:0),
% 2.88/3.26 't_b' [153, 0] (w:1, o:73, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [154, 3] (w:1, o:182
% 2.88/3.26 , a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [155, 2] (w:1
% 2.88/3.26 , o:149, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [156, 2] (w:1, o:
% 2.88/3.26 150, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [157, 2] (w:1, o:151, a:1
% 2.88/3.26 , s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [158, 7] (w:1
% 2.88/3.26 , o:221, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [159
% 2.88/3.26 , 2] (w:1, o:152, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [160,
% 2.88/3.26 4] (w:1, o:205, a:1, s:1, b:0),
% 2.88/3.26 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [163, 3] (w:1, o:183
% 2.88/3.26 , a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [164, 4]
% 2.88/3.26 (w:1, o:206, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [166, 4]
% 2.88/3.26 (w:1, o:207, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [167
% 2.88/3.26 , 4] (w:1, o:208, a:1, s:1, b:0),
% 2.88/3.26 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [168, 3] (w:1, o:
% 2.88/3.26 184, a:1, s:1, b:0),
% 2.88/3.26 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [169, 5] (w:1, o:
% 2.88/3.26 216, a:1, s:1, b:0),
% 2.88/3.26 'c_FunDef_Oin__rel' [170, 3] (w:1, o:185, a:1, s:1, b:0),
% 2.88/3.26 'c_Wellfounded_OwfP' [171, 2] (w:1, o:153, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [173, 5] (w:1, o:217
% 11.07/11.44 , a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [174, 3] (w:1
% 11.07/11.44 , o:186, a:1, s:1, b:0),
% 11.07/11.44 'v_sko__Wellfounded__Xacc__Xinducts__1' [175, 2] (w:1, o:154, a:1, s:
% 11.07/11.44 1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [176, 3]
% 11.07/11.44 (w:1, o:187, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [177, 5] (w:1, o:
% 11.07/11.44 218, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [178, 3] (w:
% 11.07/11.44 1, o:188, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [180, 3]
% 11.07/11.44 (w:1, o:189, a:1, s:1, b:0),
% 11.07/11.44 'v_sko__Wellfounded__Xacc__Xinduct__1' [181, 2] (w:1, o:155, a:1, s:1
% 11.07/11.44 , b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [182, 3] (w:1, o:
% 11.07/11.44 190, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [183, 3] (w:1
% 11.07/11.44 , o:191, a:1, s:1, b:0),
% 11.07/11.44 'c_Equiv__Relations_Ocongruent' [185, 4] (w:1, o:209, a:1, s:1, b:0)
% 11.07/11.44 ,
% 11.07/11.44 'c_Equiv__Relations_Ocongruent2' [187, 6] (w:1, o:220, a:1, s:1, b:0)
% 11.07/11.44 ,
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [188, 4] (w:1, o:210
% 11.07/11.44 , a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [190, 4] (w:1, o:211
% 11.07/11.44 , a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [191, 4] (w:1, o:
% 11.07/11.44 212, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [192, 4] (w:1, o:
% 11.07/11.44 213, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XtransI__1__1' [193, 2] (w:1, o:156
% 11.07/11.44 , a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XtransI__1__3' [194, 2] (w:1, o:158
% 11.07/11.44 , a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__XtransI__1__2' [195, 2] (w:1, o:157
% 11.07/11.44 , a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1' [196, 2] (w:1, o:
% 11.07/11.44 159, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2' [197, 2] (w:1, o:
% 11.07/11.44 160, a:1, s:1, b:0),
% 11.07/11.44 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3' [198, 2] (w:1, o:
% 11.07/11.44 161, a:1, s:1, b:0),
% 11.07/11.44 'tc_Arrow__Order__Mirabelle_Oalt' [199, 0] (w:1, o:75, a:1, s:1, b:0)
% 11.07/11.44 ,
% 11.07/11.44 'c_Arrow__Order__Mirabelle_OLin' [201, 0] (w:1, o:77, a:1, s:1, b:0)
% 11.07/11.44 ,
% 11.07/11.44 'v_L' [208, 0] (w:1, o:80, a:1, s:1, b:0),
% 11.07/11.44 'v_xa' [216, 0] (w:1, o:81, a:1, s:1, b:0),
% 11.07/11.44 'c_fequal' [221, 3] (w:1, o:192, a:1, s:1, b:0).
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Starting Search:
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 5665
% 11.07/11.44 Kept: 2008
% 11.07/11.44 Inuse: 190
% 11.07/11.44 Deleted: 2
% 11.07/11.44 Deletedinuse: 1
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 15119
% 11.07/11.44 Kept: 4601
% 11.07/11.44 Inuse: 343
% 11.07/11.44 Deleted: 4
% 11.07/11.44 Deletedinuse: 1
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 24349
% 11.07/11.44 Kept: 7167
% 11.07/11.44 Inuse: 462
% 11.07/11.44 Deleted: 8
% 11.07/11.44 Deletedinuse: 3
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 38503
% 11.07/11.44 Kept: 9687
% 11.07/11.44 Inuse: 559
% 11.07/11.44 Deleted: 11
% 11.07/11.44 Deletedinuse: 4
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 60960
% 11.07/11.44 Kept: 13093
% 11.07/11.44 Inuse: 617
% 11.07/11.44 Deleted: 14
% 11.07/11.44 Deletedinuse: 5
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 77315
% 11.07/11.44 Kept: 15358
% 11.07/11.44 Inuse: 622
% 11.07/11.44 Deleted: 14
% 11.07/11.44 Deletedinuse: 5
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 87859
% 11.07/11.44 Kept: 17387
% 11.07/11.44 Inuse: 677
% 11.07/11.44 Deleted: 14
% 11.07/11.44 Deletedinuse: 5
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 107756
% 11.07/11.44 Kept: 19434
% 11.07/11.44 Inuse: 727
% 11.07/11.44 Deleted: 18
% 11.07/11.44 Deletedinuse: 6
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying clauses:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 128590
% 11.07/11.44 Kept: 21550
% 11.07/11.44 Inuse: 751
% 11.07/11.44 Deleted: 235
% 11.07/11.44 Deletedinuse: 6
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44 Resimplifying inuse:
% 11.07/11.44 Done
% 11.07/11.44
% 11.07/11.44
% 11.07/11.44 Intermediate Status:
% 11.07/11.44 Generated: 147938
% 11.07/11.44 Kept: 24004
% 48.10/48.48 Inuse: 792
% 48.10/48.48 Deleted: 245
% 48.10/48.48 Deletedinuse: 7
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48
% 48.10/48.48 Intermediate Status:
% 48.10/48.48 Generated: 158678
% 48.10/48.48 Kept: 26437
% 48.10/48.48 Inuse: 802
% 48.10/48.48 Deleted: 250
% 48.10/48.48 Deletedinuse: 7
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48
% 48.10/48.48 Intermediate Status:
% 48.10/48.48 Generated: 174353
% 48.10/48.48 Kept: 28463
% 48.10/48.48 Inuse: 864
% 48.10/48.48 Deleted: 256
% 48.10/48.48 Deletedinuse: 10
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48
% 48.10/48.48 Intermediate Status:
% 48.10/48.48 Generated: 192624
% 48.10/48.48 Kept: 30463
% 48.10/48.48 Inuse: 925
% 48.10/48.48 Deleted: 257
% 48.10/48.48 Deletedinuse: 11
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48
% 48.10/48.48 Intermediate Status:
% 48.10/48.48 Generated: 209382
% 48.10/48.48 Kept: 32467
% 48.10/48.48 Inuse: 977
% 48.10/48.48 Deleted: 258
% 48.10/48.48 Deletedinuse: 12
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48
% 48.10/48.48 Intermediate Status:
% 48.10/48.48 Generated: 221613
% 48.10/48.48 Kept: 34753
% 48.10/48.48 Inuse: 994
% 48.10/48.48 Deleted: 261
% 48.10/48.48 Deletedinuse: 15
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48 Resimplifying inuse:
% 48.10/48.48 Done
% 48.10/48.48
% 48.10/48.48
% 48.10/48.48 Intermediate Status:
% 48.10/48.48 Generated: 241916
% 48.10/48.48 Kept: 37112
% 48.10/48.48 Inuse: 1029
% 48.10/48.49 Deleted: 265
% 48.10/48.49 Deletedinuse: 19
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 261512
% 48.10/48.49 Kept: 39453
% 48.10/48.49 Inuse: 1076
% 48.10/48.49 Deleted: 268
% 48.10/48.49 Deletedinuse: 22
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying clauses:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 274872
% 48.10/48.49 Kept: 41522
% 48.10/48.49 Inuse: 1129
% 48.10/48.49 Deleted: 800
% 48.10/48.49 Deletedinuse: 22
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 292682
% 48.10/48.49 Kept: 43620
% 48.10/48.49 Inuse: 1164
% 48.10/48.49 Deleted: 800
% 48.10/48.49 Deletedinuse: 22
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 306953
% 48.10/48.49 Kept: 45826
% 48.10/48.49 Inuse: 1174
% 48.10/48.49 Deleted: 800
% 48.10/48.49 Deletedinuse: 22
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 328821
% 48.10/48.49 Kept: 47944
% 48.10/48.49 Inuse: 1207
% 48.10/48.49 Deleted: 812
% 48.10/48.49 Deletedinuse: 22
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 336221
% 48.10/48.49 Kept: 49945
% 48.10/48.49 Inuse: 1224
% 48.10/48.49 Deleted: 835
% 48.10/48.49 Deletedinuse: 24
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 350488
% 48.10/48.49 Kept: 52104
% 48.10/48.49 Inuse: 1226
% 48.10/48.49 Deleted: 835
% 48.10/48.49 Deletedinuse: 24
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 374193
% 48.10/48.49 Kept: 54787
% 48.10/48.49 Inuse: 1254
% 48.10/48.49 Deleted: 837
% 48.10/48.49 Deletedinuse: 24
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 391171
% 48.10/48.49 Kept: 57437
% 48.10/48.49 Inuse: 1281
% 48.10/48.49 Deleted: 840
% 48.10/48.49 Deletedinuse: 24
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 400808
% 48.10/48.49 Kept: 59487
% 48.10/48.49 Inuse: 1301
% 48.10/48.49 Deleted: 840
% 48.10/48.49 Deletedinuse: 24
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying clauses:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 416462
% 48.10/48.49 Kept: 61527
% 48.10/48.49 Inuse: 1352
% 48.10/48.49 Deleted: 1305
% 48.10/48.49 Deletedinuse: 27
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 432426
% 48.10/48.49 Kept: 63748
% 48.10/48.49 Inuse: 1396
% 48.10/48.49 Deleted: 1306
% 48.10/48.49 Deletedinuse: 28
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 462797
% 48.10/48.49 Kept: 68182
% 48.10/48.49 Inuse: 1426
% 48.10/48.49 Deleted: 1309
% 48.10/48.49 Deletedinuse: 31
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 473871
% 48.10/48.49 Kept: 70434
% 48.10/48.49 Inuse: 1456
% 48.10/48.49 Deleted: 1309
% 48.10/48.49 Deletedinuse: 31
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 485836
% 48.10/48.49 Kept: 72514
% 48.10/48.49 Inuse: 1496
% 48.10/48.49 Deleted: 1310
% 48.10/48.49 Deletedinuse: 32
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 506175
% 48.10/48.49 Kept: 75767
% 48.10/48.49 Inuse: 1536
% 48.10/48.49 Deleted: 1311
% 48.10/48.49 Deletedinuse: 33
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 520133
% 48.10/48.49 Kept: 77853
% 48.10/48.49 Inuse: 1557
% 48.10/48.49 Deleted: 1320
% 48.10/48.49 Deletedinuse: 38
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49 Resimplifying inuse:
% 48.10/48.49 Done
% 48.10/48.49
% 48.10/48.49
% 48.10/48.49 Intermediate Status:
% 48.10/48.49 Generated: 533342
% 48.10/48.49 Kept: 80090
% 48.10/48.49 Inuse: 1587
% 48.10/48.49 Deleted: 1320
% 130.28/130.68 Deletedinuse: 38
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying clauses:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 541530
% 130.28/130.68 Kept: 82090
% 130.28/130.68 Inuse: 1609
% 130.28/130.68 Deleted: 1824
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 556330
% 130.28/130.68 Kept: 85232
% 130.28/130.68 Inuse: 1612
% 130.28/130.68 Deleted: 1824
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 571099
% 130.28/130.68 Kept: 88407
% 130.28/130.68 Inuse: 1617
% 130.28/130.68 Deleted: 1824
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 586509
% 130.28/130.68 Kept: 91620
% 130.28/130.68 Inuse: 1622
% 130.28/130.68 Deleted: 1824
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 596541
% 130.28/130.68 Kept: 93623
% 130.28/130.68 Inuse: 1644
% 130.28/130.68 Deleted: 1824
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 612563
% 130.28/130.68 Kept: 96961
% 130.28/130.68 Inuse: 1647
% 130.28/130.68 Deleted: 1824
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 631612
% 130.28/130.68 Kept: 100887
% 130.28/130.68 Inuse: 1657
% 130.28/130.68 Deleted: 1824
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying clauses:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 650510
% 130.28/130.68 Kept: 104837
% 130.28/130.68 Inuse: 1667
% 130.28/130.68 Deleted: 1894
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 673302
% 130.28/130.68 Kept: 107085
% 130.28/130.68 Inuse: 1677
% 130.28/130.68 Deleted: 1894
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 713335
% 130.28/130.68 Kept: 112504
% 130.28/130.68 Inuse: 1697
% 130.28/130.68 Deleted: 1894
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 765545
% 130.28/130.68 Kept: 114727
% 130.28/130.68 Inuse: 1712
% 130.28/130.68 Deleted: 1894
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 796559
% 130.28/130.68 Kept: 118497
% 130.28/130.68 Inuse: 1722
% 130.28/130.68 Deleted: 1894
% 130.28/130.68 Deletedinuse: 41
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 806693
% 130.28/130.68 Kept: 120696
% 130.28/130.68 Inuse: 1740
% 130.28/130.68 Deleted: 1901
% 130.28/130.68 Deletedinuse: 46
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying clauses:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 819053
% 130.28/130.68 Kept: 122736
% 130.28/130.68 Inuse: 1765
% 130.28/130.68 Deleted: 2243
% 130.28/130.68 Deletedinuse: 46
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 834401
% 130.28/130.68 Kept: 125065
% 130.28/130.68 Inuse: 1800
% 130.28/130.68 Deleted: 2243
% 130.28/130.68 Deletedinuse: 46
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 855023
% 130.28/130.68 Kept: 128251
% 130.28/130.68 Inuse: 1840
% 130.28/130.68 Deleted: 2243
% 130.28/130.68 Deletedinuse: 46
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 870121
% 130.28/130.68 Kept: 130260
% 130.28/130.68 Inuse: 1873
% 130.28/130.68 Deleted: 2245
% 130.28/130.68 Deletedinuse: 46
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 887810
% 130.28/130.68 Kept: 132311
% 130.28/130.68 Inuse: 1915
% 130.28/130.68 Deleted: 2256
% 130.28/130.68 Deletedinuse: 49
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 903122
% 130.28/130.68 Kept: 134736
% 130.28/130.68 Inuse: 1945
% 130.28/130.68 Deleted: 2256
% 130.28/130.68 Deletedinuse: 49
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 928888
% 130.28/130.68 Kept: 136990
% 130.28/130.68 Inuse: 1960
% 130.28/130.68 Deleted: 2259
% 130.28/130.68 Deletedinuse: 52
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 944070
% 130.28/130.68 Kept: 139112
% 130.28/130.68 Inuse: 1975
% 130.28/130.68 Deleted: 2259
% 130.28/130.68 Deletedinuse: 52
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 954788
% 130.28/130.68 Kept: 141599
% 130.28/130.68 Inuse: 1992
% 130.28/130.68 Deleted: 2288
% 130.28/130.68 Deletedinuse: 78
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying clauses:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 979692
% 130.28/130.68 Kept: 146796
% 130.28/130.68 Inuse: 2007
% 130.28/130.68 Deleted: 3063
% 130.28/130.68 Deletedinuse: 78
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 988436
% 130.28/130.68 Kept: 148798
% 130.28/130.68 Inuse: 2031
% 130.28/130.68 Deleted: 3063
% 130.28/130.68 Deletedinuse: 78
% 130.28/130.68
% 130.28/130.68 Resimplifying inuse:
% 130.28/130.68 Done
% 130.28/130.68
% 130.28/130.68
% 130.28/130.68 Intermediate Status:
% 130.28/130.68 Generated: 1016881
% 130.28/130.68 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------