TSTP Solution File: SCT033-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT033-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 21:00:41 EDT 2022
% Result : Timeout 300.08s 300.62s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT033-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 00:18:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.32 *** allocated 10000 integers for termspace/termends
% 0.91/1.32 *** allocated 10000 integers for clauses
% 0.91/1.32 *** allocated 10000 integers for justifications
% 0.91/1.32 *** allocated 15000 integers for termspace/termends
% 0.91/1.32 *** allocated 22500 integers for termspace/termends
% 0.91/1.32 Bliksem 1.12
% 0.91/1.32
% 0.91/1.32
% 0.91/1.32 Automatic Strategy Selection
% 0.91/1.32
% 0.91/1.32 Clauses:
% 0.91/1.32 [
% 0.91/1.32 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.91/1.32 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.91/1.32 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.91/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.91/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.91/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.91/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.91/1.32 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.32 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.91/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.91/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), T ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.91/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), Z ) ) ],
% 0.91/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.32 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.91/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.32 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 0.91/1.32 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 0.91/1.32 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 0.91/1.32 ],
% 0.91/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.91/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.91/1.32 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.91/1.32 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.91/1.32 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.91/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.91/1.32 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.91/1.32 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.91/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.91/1.32 'c_in'( W, Y, Z ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.91/1.32 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.91/1.32 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.91/1.32 ~( 'c_in'( W, T, U ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.91/1.32 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.91/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.91/1.32 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.91/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.91/1.32 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.91/1.32 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.91/1.32 ) ) ) ],
% 0.91/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.91/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.91/1.32 'c_in'( U, T, Z ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.91/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.32 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.32 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.91/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.91/1.32 ) ],
% 0.91/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.91/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.91/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.91/1.32 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.32 , X ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.91/1.32 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.91/1.32 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.91/1.32 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.91/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.91/1.32 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.91/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.91/1.32 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.91/1.32 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.91/1.32 'tc_bool' ) ), X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.91/1.32 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.91/1.32 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.91/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.91/1.32 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.91/1.32 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_Relation_OImage'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.91/1.32 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.91/1.32 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.91/1.32 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.91/1.32 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.91/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.91/1.32 [ =( X, 'c_Pair'( hAPP( 'c_fst'( Y, Z ), X ), hAPP( 'c_snd'( Y, Z ), X )
% 0.91/1.32 , Y, Z ) ) ],
% 0.91/1.32 [ =( 'c_Pair'( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), Z ), X
% 0.91/1.32 , Y ), Z ) ],
% 0.91/1.32 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.91/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.91/1.32 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, T ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.32 , T, X ) ) ), =( Y, Z ) ],
% 0.91/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.32 , T, X ) ) ), =( Z, T ) ],
% 0.91/1.32 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.91/1.32 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.91/1.32 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.32 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.91/1.32 ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.91/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.91/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.91/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.91/1.32 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.91/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.91/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.91/1.32 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.91/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.32 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.91/1.32 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.91/1.32 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.91/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.91/1.32 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.91/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.91/1.32 X, T ), Y ) ) ) ],
% 0.91/1.32 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.91/1.32 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.91/1.32 , Z, T ), Z ) ) ],
% 0.91/1.32 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.91/1.32 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.91/1.32 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.91/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.32 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.91/1.32 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.91/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.32 ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.91/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.91/1.32 ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.91/1.32 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.91/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.91/1.32 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.91/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.32 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.91/1.32 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.91/1.32 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.91/1.32 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.91/1.32 ],
% 0.91/1.32 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.91/1.32 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.91/1.32 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.91/1.32 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.91/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.91/1.32 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.91/1.32 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.91/1.32 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.91/1.32 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.91/1.32 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.91/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.91/1.32 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.91/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.91/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.91/1.32 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.91/1.32 X, 'tc_bool' ) ), Y ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.91/1.32 'tc_bool' ) ), X ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.91/1.32 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.91/1.32 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.91/1.32 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.91/1.32 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.91/1.32 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.91/1.32 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.91/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.91/1.32 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.91/1.32 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.91/1.32 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.32 ) ), Y ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.32 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.91/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.91/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.91/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.91/1.32 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.32 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.91/1.32 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.91/1.32 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.91/1.32 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.91/1.32 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.91/1.32 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.91/1.32 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.91/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.91/1.32 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.91/1.32 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.91/1.32 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.91/1.32 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.91/1.32 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.91/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.91/1.32 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.91/1.32 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ =( hAPP( 'c_split'( X, Y, Z, T ), U ), hAPP( hAPP( X, hAPP( 'c_fst'( Y
% 0.91/1.32 , Z ), U ) ), hAPP( 'c_snd'( Y, Z ), U ) ) ) ],
% 0.91/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.91/1.32 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.91/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.91/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.91/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.91/1.32 ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.91/1.32 ],
% 0.91/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.91/1.32 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.32 ],
% 0.91/1.32 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.91/1.32 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.91/1.32 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.32 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.91/1.32 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.32 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.91/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.91/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.91/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.91/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.91/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.91/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.91/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.91/1.32 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.91/1.32 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.32 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.91/1.32 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.91/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.32 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.91/1.32 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.91/1.32 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.91/1.32 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.32 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.91/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.32 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.91/1.32 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.91/1.32 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.91/1.32 ), 'tc_bool' ) ), X ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.91/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.91/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.91/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.91/1.32 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.91/1.32 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.91/1.32 'tc_bool' ) ), Y, X ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.91/1.32 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Relation_Oconverse'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.91/1.32 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.91/1.32 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.91/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.91/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.91/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.91/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.91/1.32 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.91/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.91/1.32 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.91/1.32 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.91/1.32 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.91/1.32 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.91/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.91/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.91/1.32 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.32 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.91/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.91/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.91/1.32 Y, Z ) ) ],
% 0.91/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.91/1.32 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.91/1.32 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.91/1.32 X, X ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.91/1.32 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.32 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.91/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Product__Type_OSigma'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.91/1.32 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.91/1.32 ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.91/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.91/1.32 , T ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.91/1.32 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.91/1.32 ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.91/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.91/1.32 , T ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.91/1.32 , Z ) ],
% 0.91/1.32 [ =( 'c_Relation_Oconverse'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.91/1.32 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.91/1.32 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.91/1.32 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.91/1.32 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.91/1.32 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.91/1.32 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.91/1.32 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.91/1.32 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.91/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.91/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.91/1.32 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.91/1.32 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.91/1.32 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.32 ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.32 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Relation_Orel__comp'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.91/1.32 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.91/1.32 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Relation_Orel__comp'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.91/1.32 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.91/1.32 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.91/1.32 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.91/1.32 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 T, Z, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.91/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.91/1.32 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 Z, T, X ), X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.32 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.32 T, Z, X ), X ) ) ],
% 0.91/1.32 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.32 Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.91/1.32 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.32 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.91/1.32 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.91/1.32 ,
% 0.91/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.91/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.91/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.32 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.32 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.91/1.32 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.91/1.32 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.32 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.91/1.32 'tc_bool' ) ) ) ],
% 0.91/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.91/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.33 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.91/1.33 ) ), Z, X ) ) ],
% 0.91/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.33 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.91/1.33 ) ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.91/1.33 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.91/1.33 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.33 T, 'tc_bool' ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.91/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.91/1.33 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.33 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.91/1.33 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.91/1.33 'c_in'( X, T, Z ) ],
% 0.91/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.91/1.33 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.91/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.91/1.33 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.91/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.91/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.91/1.33 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.91/1.33 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.91/1.33 Z, T ), T ) ) ],
% 0.91/1.33 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.91/1.33 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.91/1.33 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.91/1.33 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.91/1.33 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.91/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.91/1.33 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.91/1.33 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.91/1.33 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.91/1.33 U, W ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.91/1.33 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.91/1.33 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.91/1.33 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.91/1.33 , T ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.91/1.33 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.91/1.33 , T ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.91/1.33 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.91/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.91/1.33 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.91/1.33 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.91/1.33 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.91/1.33 ), Y ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.91/1.33 ), Y ) ) ],
% 0.91/1.33 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.91/1.33 ), Y ) ) ],
% 0.91/1.33 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.91/1.33 , Z ) ) ],
% 0.91/1.33 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.33 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.91/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.91/1.33 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.91/1.33 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.91/1.33 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.91/1.33 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.91/1.33 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.91/1.33 [ =( hAPP( 'c_fst'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), Z ) ],
% 0.91/1.33 [ =( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( X, T, Y, Z ) ) ) ],
% 0.91/1.33 [ =( hAPP( 'c_snd'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), T ) ],
% 0.91/1.33 [ =( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, X, Y, Z ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.91/1.33 ~( hBOOL( hAPP( W, U ) ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.91/1.33 ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( W, T ) ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.91/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.91/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.91/1.33 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.91/1.33 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.91/1.33 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.91/1.33 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.91/1.33 , T, Z ) ) ],
% 0.91/1.33 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.91/1.33 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.91/1.33 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.91/1.33 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.91/1.33 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.91/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.91/1.33 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.33 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.91/1.33 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.33 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.91/1.33 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.91/1.33 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.91/1.33 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.91/1.33 , Z ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.91/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.91/1.33 'tc_bool' ) ), X ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.33 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.91/1.33 Y, X ), Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.33 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.33 T, X ), Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.91/1.33 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.91/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.33 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.91/1.33 Y, X ), Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.91/1.33 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.91/1.33 T, X ), Z, X ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.33 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.91/1.33 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.91/1.33 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.91/1.33 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.91/1.33 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.91/1.33 ],
% 0.91/1.33 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.91/1.33 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.91/1.33 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.33 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.91/1.33 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.91/1.33 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.91/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.33 T, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.33 Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.91/1.33 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.91/1.33 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.91/1.33 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.91/1.33 Z, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.91/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.91/1.33 T, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.91/1.33 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.91/1.33 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.91/1.33 hAPP( X, T ) ) ) ],
% 0.91/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.91/1.33 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.91/1.33 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.91/1.33 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.33 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.33 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.91/1.33 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ) ) ],
% 0.91/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.91/1.33 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.91/1.33 'tc_bool' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.91/1.33 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.91/1.33 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.91/1.33 ) ],
% 0.91/1.33 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.91/1.33 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.91/1.33 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) )
% 0.91/1.33 ), hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.91/1.33 hAPP( X, U ), T ) ) ) ],
% 0.91/1.33 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.91/1.33 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.91/1.33 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.91/1.33 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.91/1.33 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.91/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.33 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.33 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.91/1.33 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.91/1.33 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.91/1.33 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.91/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.91/1.33 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.91/1.33 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.91/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.91/1.33 X, Z, T, U ),
% 0.91/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.91/1.33 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.91/1.33 , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.91/1.33 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.91/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.91/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.91/1.33 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.91/1.33 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.91/1.33 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.91/1.33 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.91/1.33 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.91/1.33 ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.91/1.33 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.91/1.33 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.91/1.33 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.91/1.33 Y, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.91/1.33 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.91/1.33 Z ) ) ],
% 0.91/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.91/1.33 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.91/1.33 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.91/1.33 ],
% 0.91/1.33 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.91/1.33 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.91/1.33 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.91/1.33 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.91/1.33 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.91/1.33 T ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.91/1.33 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.91/1.33 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.91/1.33 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.91/1.33 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.91/1.33 U ) ],
% 0.91/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.91/1.33 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.91/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.91/1.33 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.91/1.33 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.91/1.33 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.91/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.91/1.33 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.91/1.33 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.91/1.33 ) ) ) ],
% 0.91/1.33 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.91/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.91/1.33 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.91/1.33 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.91/1.33 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.91/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.91/1.33 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.91/1.33 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.91/1.33 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.91/1.33 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.91/1.33 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.33 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.91/1.33 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.91/1.33 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.91/1.33 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.91/1.33 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.91/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.91/1.33 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.91/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.91/1.33 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.91/1.33 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.91/1.33 ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.91/1.33 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.91/1.33 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.91/1.33 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.91/1.33 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.33 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.91/1.33 ) ), Y ) ],
% 0.91/1.33 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.91/1.33 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.91/1.33 ) ), Y ) ],
% 0.91/1.33 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.91/1.33 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.91/1.33 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.91/1.33 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.91/1.33 'tc_bool' ) ) ) ],
% 0.91/1.33 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.91/1.33 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.91/1.33 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.91/1.33 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.91/1.33 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.91/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.91/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.91/1.33 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.91/1.33 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.91/1.33 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.91/1.33 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.91/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.91/1.33 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.91/1.33 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.91/1.33 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.91/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.91/1.33 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.91/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a_H____',
% 0.91/1.33 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.91/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P_H____'( X ), 'tc_prod'(
% 0.91/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.91/1.33 ) ],
% 0.91/1.33 [ 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 0.91/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.91/1.33 'v_P_H____'( X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.91/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.91/1.33 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.91/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.91/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.91/1.33 ) ],
% 0.91/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.91/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.91/1.33 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.91/1.33 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.91/1.33 ), 'tc_prod'( T, T ) ) ) ],
% 0.91/1.33 [ 'c_in'( 'c_Pair'(
% 0.91/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.91/1.33 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.91/1.33 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.91/1.33 T ), 'tc_prod'( T, T ) ) ) ],
% 0.91/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.91/1.33 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.91/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.91/1.33 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.91/1.33 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.91/1.33 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.91/1.33 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.91/1.33 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.91/1.33 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.91/1.33 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.91/1.33 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.91/1.33 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.91/1.33 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.91/1.33 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.91/1.33 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.91/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.91/1.33 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.91/1.33 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.91/1.33 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.91/1.33 [ =( 'c_Relation_OImage'( X,
% 0.91/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.91/1.33 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.91/1.33 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.91/1.33 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.91/1.33 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.91/1.33 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.91/1.33 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.91/1.33 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.91/1.33 'tc_prod'( Y, Y ) ) ],
% 0.91/1.33 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.91/1.33 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.91/1.33 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.91/1.33 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.91/1.33 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.91/1.33 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.91/1.33 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.91/1.33 ) ) ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.91/1.33 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.91/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.91/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.91/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.91/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.91/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.91/1.33 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.91/1.33 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.91/1.33 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.91/1.33 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.91/1.33 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.91/1.33 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.91/1.33 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.91/1.33 ,
% 0.91/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.91/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.96/1.33 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.96/1.33 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.96/1.33 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.96/1.33 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.96/1.33 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.96/1.33 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.96/1.33 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.96/1.33 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.96/1.33 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.96/1.33 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.96/1.33 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.96/1.33 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.96/1.33 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 0.96/1.33 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.96/1.33 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'(
% 0.96/1.33 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ),
% 0.96/1.33 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 0.96/1.33 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.96/1.33 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.96/1.33 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.96/1.33 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.96/1.33 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.96/1.33 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.96/1.33 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.96/1.33 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.96/1.33 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.96/1.33 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 0.96/1.33 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 0.96/1.33 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.96/1.33 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 0.96/1.33 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 0.96/1.33 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 0.96/1.33 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 0.96/1.33 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.96/1.33 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.96/1.33 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.96/1.33 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.96/1.33 T, T ) ), =( Y, Z ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.96/1.33 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), =( X, Z ), ~( 'c_in'( 'c_Pair'(
% 0.96/1.33 X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.96/1.33 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z,
% 0.96/1.33 U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.96/1.33 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.96/1.33 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y,
% 0.96/1.33 Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.96/1.33 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.96/1.33 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.96/1.33 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.96/1.33 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'(
% 0.96/1.33 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ),
% 0.96/1.33 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 0.96/1.33 , 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 0.96/1.33 , 't_a' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.96/1.33 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 0.96/1.33 , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X
% 0.96/1.33 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ),
% 0.96/1.33 ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.96/1.33 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.96/1.33 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.96/1.33 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.96/1.33 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X, Y, Z, T
% 0.96/1.33 , U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T, U ),
% 0.96/1.33 'tc_prod'( T, U ) ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.33 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.33 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.96/1.33 ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.33 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.96/1.33 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.96/1.33 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.33 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.96/1.33 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.96/1.33 Z ) ) ],
% 0.96/1.33 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.33 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.96/1.33 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.96/1.33 , Z ) ) ],
% 0.96/1.33 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.96/1.33 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.96/1.33 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.96/1.33 , X, 'tc_prod'( Z, Z ) ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( 'c_snd'( X, Y ), Z, 'tc_prod'( X, Y ), Y ),
% 0.96/1.33 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.96/1.33 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.96/1.33 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.96/1.33 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( 'c_fst'( X, Y ), Z, 'tc_prod'( X, Y ), X ),
% 0.96/1.33 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.96/1.33 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.96/1.33 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.96/1.33 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.96/1.33 X, U ), W ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.96/1.33 X, U ), W ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.96/1.33 , T ) ) ) ],
% 0.96/1.33 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.96/1.33 , Z, T ) ) ],
% 0.96/1.33 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.96/1.33 , Z, T ) ) ],
% 0.96/1.33 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.96/1.33 , U ), U ) ],
% 0.96/1.33 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.96/1.33 , U ), U ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.33 Y, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.96/1.33 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.96/1.33 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.96/1.33 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.96/1.33 , T ), T ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.96/1.33 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.96/1.33 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.96/1.33 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.96/1.33 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.96/1.33 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.96/1.33 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.96/1.33 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.33 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.96/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.96/1.33 Y ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.96/1.33 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.96/1.33 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.96/1.33 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.33 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 X, Y ), X, Y, Y, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.33 'c_Relation_Osym'( X, Z ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.96/1.33 'c_Relation_OId'( X ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.96/1.33 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.96/1.33 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.96/1.33 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.96/1.33 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.96/1.33 , Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.33 'c_Relation_Otrans'( X, Z ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.96/1.33 'c_Relation_OId__on'( X, Y ) ) ],
% 0.96/1.33 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.96/1.33 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.96/1.33 , Y ), X, Y ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.33 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.96/1.33 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.96/1.33 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.96/1.33 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.33 X ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.96/1.33 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.96/1.33 Y, Z ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.96/1.33 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.33 Y, Y ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.96/1.33 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.96/1.33 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.96/1.33 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.96/1.33 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.33 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.96/1.33 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.96/1.33 [ ~( =( 'v_a_H____', 'v_b_H____' ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.96/1.33 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.96/1.33 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.96/1.33 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.96/1.33 , T ), T ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.96/1.33 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.96/1.33 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.96/1.33 ), U ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.96/1.33 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.96/1.33 't_a' ), 't_a' ) ) ],
% 0.96/1.33 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.33 T, Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.96/1.33 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.96/1.33 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.96/1.33 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.96/1.33 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.33 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.96/1.33 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.96/1.33 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.96/1.33 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.33 ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.96/1.33 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.96/1.33 't_a' ), 't_a' ) ) ],
% 0.96/1.33 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.96/1.33 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 0.96/1.33 V0, 'tc_prod'( T, U ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.96/1.33 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.96/1.33 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.96/1.33 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.96/1.33 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.96/1.33 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.96/1.33 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.96/1.33 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.96/1.33 Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.96/1.33 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.96/1.33 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.96/1.33 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.96/1.33 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.96/1.33 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.96/1.33 [ ~( =( 'v_b____', 'v_a_H____' ) ) ],
% 0.96/1.33 [ ~( =( 'v_a____', 'v_b_H____' ) ) ],
% 0.96/1.33 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 0.96/1.33 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.96/1.33 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.96/1.33 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.96/1.33 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.96/1.33 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.96/1.33 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.96/1.33 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.96/1.33 Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.96/1.33 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.96/1.33 Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.96/1.33 Z ) ) ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.96/1.33 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.96/1.33 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.96/1.33 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.96/1.33 Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.96/1.33 ), 'tc_prod'( Y, Y ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.96/1.33 ), 'tc_prod'( Y, Y ) ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.33 T, Z ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.96/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.96/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.96/1.33 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.96/1.33 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.96/1.33 ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.96/1.33 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.96/1.33 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.96/1.33 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.96/1.33 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.96/1.33 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.96/1.33 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.96/1.33 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.96/1.33 , Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.96/1.33 , Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.96/1.33 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.96/1.33 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.96/1.33 Z, V0 ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.96/1.33 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.96/1.33 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.96/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.96/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.96/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.96/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.96/1.33 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.96/1.33 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.96/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , =( X, Y ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.96/1.33 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.96/1.33 , Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.96/1.33 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.96/1.33 , Z ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.96/1.33 Y, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.96/1.33 Y, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.96/1.33 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.96/1.33 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.96/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.96/1.33 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.96/1.33 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.96/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.96/1.33 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.96/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.96/1.33 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.96/1.33 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.96/1.33 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.96/1.33 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.96/1.33 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.96/1.33 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.96/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.96/1.33 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.96/1.33 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 0.96/1.33 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.96/1.33 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.96/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.96/1.33 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.96/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.96/1.33 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.96/1.33 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.96/1.33 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.96/1.33 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.96/1.33 [ 'c_in'( 'v_Q____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( T ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 'v_sko__CHAINED__1'( X, Y,
% 0.96/1.33 Z, T ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 hAPP( Z, 'v_sko__CHAINED__1'( X, Y, Z, T ) ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.96/1.33 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( T ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__CHAINED__1'( X, Y,
% 0.96/1.33 T, Z ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 hAPP( T, 'v_sko__CHAINED__1'( X, Y, T, Z ) ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.96/1.33 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( T ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 'v_sko__CHAINED__1'( X, Y,
% 0.96/1.33 Z, T ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 hAPP( Z, 'v_sko__CHAINED__1'( X, Y, Z, T ) ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.96/1.33 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( T ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__CHAINED__1'( X, Y,
% 0.96/1.33 T, Z ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 hAPP( T, 'v_sko__CHAINED__1'( X, Y, T, Z ) ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.96/1.33 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'v_F'( 'v_P____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.96/1.33 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_Q____', X ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 hAPP( 'v_Q____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.96/1.33 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'v_F'( 'v_Q____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.33 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.33 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.96/1.33 Y ) ) ],
% 0.96/1.33 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.96/1.33 [ 'c_fequal'( X, X, Y ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.96/1.33 ] .
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 percentage equality = 0.232504, percentage horn = 0.882353
% 0.96/1.33 This is a problem with some equality
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Options Used:
% 0.96/1.33
% 0.96/1.33 useres = 1
% 0.96/1.33 useparamod = 1
% 0.96/1.33 useeqrefl = 1
% 0.96/1.33 useeqfact = 1
% 0.96/1.33 usefactor = 1
% 0.96/1.33 usesimpsplitting = 0
% 0.96/1.33 usesimpdemod = 5
% 0.96/1.33 usesimpres = 3
% 0.96/1.33
% 0.96/1.33 resimpinuse = 1000
% 0.96/1.33 resimpclauses = 20000
% 0.96/1.33 substype = eqrewr
% 0.96/1.33 backwardsubs = 1
% 0.96/1.33 selectoldest = 5
% 0.96/1.33
% 0.96/1.33 litorderings [0] = split
% 0.96/1.33 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.33
% 0.96/1.33 termordering = kbo
% 0.96/1.33
% 0.96/1.33 litapriori = 0
% 0.96/1.33 termapriori = 1
% 0.96/1.33 litaposteriori = 0
% 0.96/1.33 termaposteriori = 0
% 0.96/1.33 demodaposteriori = 0
% 0.96/1.33 ordereqreflfact = 0
% 0.96/1.33
% 0.96/1.33 litselect = negord
% 0.96/1.33
% 0.96/1.33 maxweight = 15
% 0.96/1.33 maxdepth = 30000
% 0.96/1.33 maxlength = 115
% 0.96/1.33 maxnrvars = 195
% 0.96/1.33 excuselevel = 1
% 0.96/1.33 increasemaxweight = 1
% 0.96/1.33
% 0.96/1.33 maxselected = 10000000
% 0.96/1.33 maxnrclauses = 10000000
% 0.96/1.33
% 0.96/1.33 showgenerated = 0
% 0.96/1.33 showkept = 0
% 0.96/1.33 showselected = 0
% 0.96/1.33 showdeleted = 0
% 0.96/1.33 showresimp = 1
% 0.96/1.33 showstatus = 2000
% 0.96/1.33
% 0.96/1.33 prologoutput = 1
% 0.96/1.33 nrgoals = 5000000
% 0.96/1.33 totalproof = 1
% 0.96/1.33
% 0.96/1.33 Symbols occurring in the translation:
% 0.96/1.33
% 0.96/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.33 . [1, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.96/1.33 ! [4, 1] (w:0, o:80, a:1, s:1, b:0),
% 0.96/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 'tc_bool' [41, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.96/1.33 'tc_fun' [42, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.96/1.33 'c_Orderings_Obot__class_Obot' [43, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_OImage' [45, 4] (w:1, o:185, a:1, s:1, b:0),
% 0.96/1.33 'c_Set_Oinsert' [48, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf' [50, 3] (w:1, o:162, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus' [51, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Obot' [52, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.96/1.33 'c_lessequals' [54, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.96/1.33 'tc_prod' [55, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.96/1.33 'c_Relation_Orel__comp' [57, 5] (w:1, o:207, a:1, s:1, b:0),
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup' [58, 3] (w:1, o:165, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_Set_Oimage' [61, 4] (w:1, o:187, a:1, s:1, b:0),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl' [62, 2] (w:1, o:129, a:1, s:1, b:0)
% 0.96/1.33 ,
% 0.96/1.33 'c_snd' [64, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.96/1.33 hAPP [66, 2] (w:1, o:131, a:1, s:1, b:0),
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% 0.96/1.33 hBOOL [72, 1] (w:1, o:87, a:1, s:1, b:0),
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% 0.96/1.33 'c_COMBK' [79, 3] (w:1, o:168, a:1, s:1, b:0),
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% 0.96/1.33
% 0.96/1.33 'c_Relation_ODomain' [85, 3] (w:1, o:156, a:1, s:1, b:0),
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% 0.96/1.33 'c_Relation_Orefl__on' [90, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.96/1.33 'class_Lattices_Oupper__semilattice' [91, 1] (w:1, o:89, a:1, s:1, b:
% 0.96/1.33 0),
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% 0.96/1.33 1, s:1, b:0),
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% 1.76/2.22 'c_Relation_Ototal__on' [117, 3] (w:1, o:160, a:1, s:1, b:0),
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% 1.76/2.22 (w:1, o:173, a:1, s:1, b:0),
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% 1.76/2.22 'c_Relation_Osingle__valued' [129, 3] (w:1, o:159, a:1, s:1, b:0),
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% 1.76/2.22 'c_Relation_Oirrefl' [133, 2] (w:1, o:141, a:1, s:1, b:0),
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% 1.76/2.22 (w:1, o:196, a:1, s:1, b:0),
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% 1.76/2.22 't_a' [154, 0] (w:1, o:67, a:1, s:1, b:0),
% 1.76/2.22 't_b' [155, 0] (w:1, o:68, a:1, s:1, b:0),
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% 1.76/2.22 , o:145, a:1, s:1, b:0),
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% 1.76/2.22 146, a:1, s:1, b:0),
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% 1.76/2.22 , s:1, b:0),
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% 1.76/2.22 , o:214, a:1, s:1, b:0),
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% 1.76/2.22 4] (w:1, o:197, a:1, s:1, b:0),
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% 8.95/9.40 210, a:1, s:1, b:0),
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% 8.95/9.40 , o:178, a:1, s:1, b:0),
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% 8.95/9.40 1, b:0),
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% 8.95/9.40 (w:1, o:179, a:1, s:1, b:0),
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% 8.95/9.40 211, a:1, s:1, b:0),
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% 8.95/9.40 (w:1, o:181, a:1, s:1, b:0),
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% 8.95/9.40 ,
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% 8.95/9.40 ,
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% 8.95/9.40 0),
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% 8.95/9.40 0),
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% 8.95/9.40 ,
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% 8.95/9.40 ),
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% 8.95/9.40
% 8.95/9.40
% 8.95/9.40 Starting Search:
% 8.95/9.40
% 8.95/9.40 Resimplifying inuse:
% 8.95/9.40 Done
% 8.95/9.40
% 8.95/9.40
% 8.95/9.40 Intermediate Status:
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% 8.95/9.40
% 8.95/9.40 Resimplifying inuse:
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% 8.95/9.40 Resimplifying inuse:
% 8.95/9.40 Done
% 8.95/9.40
% 8.95/9.40
% 8.95/9.40 Intermediate Status:
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% 8.95/9.40 Resimplifying inuse:
% 8.95/9.40 Done
% 8.95/9.40
% 8.95/9.40 Resimplifying inuse:
% 8.95/9.40 Done
% 8.95/9.40
% 8.95/9.40
% 8.95/9.40 Intermediate Status:
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% 8.95/9.40
% 8.95/9.40 Intermediate Status:
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% 8.95/9.40 Resimplifying inuse:
% 8.95/9.40 Done
% 8.95/9.40
% 8.95/9.40
% 8.95/9.40 Intermediate Status:
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% 8.95/9.40
% 8.95/9.40 Resimplifying inuse:
% 8.95/9.40 Done
% 8.95/9.40
% 8.95/9.40
% 8.95/9.40 Intermediate Status:
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% 8.95/9.40 Resimplifying inuse:
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% 8.95/9.40 Resimplifying inuse:
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% 8.95/9.40
% 8.95/9.40
% 8.95/9.40 Intermediate Status:
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% 8.95/9.40
% 8.95/9.40 Intermediate Status:
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% 45.34/45.75 Resimplifying inuse:
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% 45.34/45.75 Resimplifying clauses:
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% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
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% 45.34/45.75 Resimplifying inuse:
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% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
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% 45.34/45.75 Resimplifying inuse:
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% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
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% 45.34/45.75 Resimplifying inuse:
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% 45.34/45.75
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% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 177347
% 45.34/45.75 Kept: 30037
% 45.34/45.75 Inuse: 836
% 45.34/45.75 Deleted: 233
% 45.34/45.75 Deletedinuse: 12
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 194314
% 45.34/45.75 Kept: 32070
% 45.34/45.75 Inuse: 898
% 45.34/45.75 Deleted: 237
% 45.34/45.75 Deletedinuse: 13
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 208722
% 45.34/45.75 Kept: 34159
% 45.34/45.75 Inuse: 933
% 45.34/45.75 Deleted: 239
% 45.34/45.75 Deletedinuse: 15
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 224474
% 45.34/45.75 Kept: 36183
% 45.34/45.75 Inuse: 978
% 45.34/45.75 Deleted: 240
% 45.34/45.75 Deletedinuse: 16
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 245728
% 45.34/45.75 Kept: 39353
% 45.34/45.75 Inuse: 1023
% 45.34/45.75 Deleted: 241
% 45.34/45.75 Deletedinuse: 17
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying clauses:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 266666
% 45.34/45.75 Kept: 41355
% 45.34/45.75 Inuse: 1062
% 45.34/45.75 Deleted: 668
% 45.34/45.75 Deletedinuse: 26
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 283808
% 45.34/45.75 Kept: 43356
% 45.34/45.75 Inuse: 1109
% 45.34/45.75 Deleted: 668
% 45.34/45.75 Deletedinuse: 26
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 302292
% 45.34/45.75 Kept: 45447
% 45.34/45.75 Inuse: 1158
% 45.34/45.75 Deleted: 668
% 45.34/45.75 Deletedinuse: 26
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 329214
% 45.34/45.75 Kept: 48804
% 45.34/45.75 Inuse: 1193
% 45.34/45.75 Deleted: 668
% 45.34/45.75 Deletedinuse: 26
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 347821
% 45.34/45.75 Kept: 50944
% 45.34/45.75 Inuse: 1230
% 45.34/45.75 Deleted: 671
% 45.34/45.75 Deletedinuse: 26
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 356609
% 45.34/45.75 Kept: 53036
% 45.34/45.75 Inuse: 1237
% 45.34/45.75 Deleted: 691
% 45.34/45.75 Deletedinuse: 28
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 367449
% 45.34/45.75 Kept: 55200
% 45.34/45.75 Inuse: 1272
% 45.34/45.75 Deleted: 691
% 45.34/45.75 Deletedinuse: 28
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 385478
% 45.34/45.75 Kept: 57441
% 45.34/45.75 Inuse: 1295
% 45.34/45.75 Deleted: 693
% 45.34/45.75 Deletedinuse: 28
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 403056
% 45.34/45.75 Kept: 59598
% 45.34/45.75 Inuse: 1348
% 45.34/45.75 Deleted: 696
% 45.34/45.75 Deletedinuse: 29
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying clauses:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 415241
% 45.34/45.75 Kept: 61705
% 45.34/45.75 Inuse: 1403
% 45.34/45.75 Deleted: 1257
% 45.34/45.75 Deletedinuse: 33
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 429796
% 45.34/45.75 Kept: 63707
% 45.34/45.75 Inuse: 1433
% 45.34/45.75 Deleted: 1261
% 45.34/45.75 Deletedinuse: 36
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 444863
% 45.34/45.75 Kept: 65712
% 45.34/45.75 Inuse: 1484
% 45.34/45.75 Deleted: 1266
% 45.34/45.75 Deletedinuse: 39
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 457422
% 45.34/45.75 Kept: 67738
% 45.34/45.75 Inuse: 1523
% 45.34/45.75 Deleted: 1278
% 45.34/45.75 Deletedinuse: 51
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 45.34/45.75 Generated: 466065
% 45.34/45.75 Kept: 69742
% 45.34/45.75 Inuse: 1552
% 45.34/45.75 Deleted: 1282
% 45.34/45.75 Deletedinuse: 55
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75 Resimplifying inuse:
% 45.34/45.75 Done
% 45.34/45.75
% 45.34/45.75
% 45.34/45.75 Intermediate Status:
% 180.22/180.72 Generated: 485419
% 180.22/180.72 Kept: 73820
% 180.22/180.72 Inuse: 1570
% 180.22/180.72 Deleted: 1283
% 180.22/180.72 Deletedinuse: 56
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 499113
% 180.22/180.72 Kept: 76572
% 180.22/180.72 Inuse: 1575
% 180.22/180.72 Deleted: 1283
% 180.22/180.72 Deletedinuse: 56
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 513457
% 180.22/180.72 Kept: 79388
% 180.22/180.72 Inuse: 1580
% 180.22/180.72 Deleted: 1283
% 180.22/180.72 Deletedinuse: 56
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying clauses:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 536784
% 180.22/180.72 Kept: 84141
% 180.22/180.72 Inuse: 1605
% 180.22/180.72 Deleted: 1894
% 180.22/180.72 Deletedinuse: 56
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 555167
% 180.22/180.72 Kept: 87674
% 180.22/180.72 Inuse: 1615
% 180.22/180.72 Deleted: 1894
% 180.22/180.72 Deletedinuse: 56
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 572333
% 180.22/180.72 Kept: 91081
% 180.22/180.72 Inuse: 1625
% 180.22/180.72 Deleted: 1894
% 180.22/180.72 Deletedinuse: 56
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 598635
% 180.22/180.72 Kept: 95903
% 180.22/180.72 Inuse: 1655
% 180.22/180.72 Deleted: 1895
% 180.22/180.72 Deletedinuse: 57
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 622440
% 180.22/180.72 Kept: 100519
% 180.22/180.72 Inuse: 1680
% 180.22/180.72 Deleted: 1897
% 180.22/180.72 Deletedinuse: 59
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying clauses:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 634514
% 180.22/180.72 Kept: 102599
% 180.22/180.72 Inuse: 1705
% 180.22/180.72 Deleted: 2157
% 180.22/180.72 Deletedinuse: 59
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 648487
% 180.22/180.72 Kept: 104775
% 180.22/180.72 Inuse: 1745
% 180.22/180.72 Deleted: 2157
% 180.22/180.72 Deletedinuse: 59
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 665296
% 180.22/180.72 Kept: 106855
% 180.22/180.72 Inuse: 1795
% 180.22/180.72 Deleted: 2160
% 180.22/180.72 Deletedinuse: 62
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 685170
% 180.22/180.72 Kept: 108900
% 180.22/180.72 Inuse: 1855
% 180.22/180.72 Deleted: 2167
% 180.22/180.72 Deletedinuse: 69
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 695319
% 180.22/180.72 Kept: 110911
% 180.22/180.72 Inuse: 1884
% 180.22/180.72 Deleted: 2171
% 180.22/180.72 Deletedinuse: 73
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 703049
% 180.22/180.72 Kept: 112952
% 180.22/180.72 Inuse: 1901
% 180.22/180.72 Deleted: 2171
% 180.22/180.72 Deletedinuse: 73
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 713233
% 180.22/180.72 Kept: 114959
% 180.22/180.72 Inuse: 1921
% 180.22/180.72 Deleted: 2171
% 180.22/180.72 Deletedinuse: 73
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 738982
% 180.22/180.72 Kept: 120054
% 180.22/180.72 Inuse: 1941
% 180.22/180.72 Deleted: 2176
% 180.22/180.72 Deletedinuse: 74
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying clauses:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 764482
% 180.22/180.72 Kept: 122957
% 180.22/180.72 Inuse: 1956
% 180.22/180.72 Deleted: 2820
% 180.22/180.72 Deletedinuse: 74
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 775489
% 180.22/180.72 Kept: 125278
% 180.22/180.72 Inuse: 1981
% 180.22/180.72 Deleted: 2821
% 180.22/180.72 Deletedinuse: 75
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 785319
% 180.22/180.72 Kept: 127529
% 180.22/180.72 Inuse: 2005
% 180.22/180.72 Deleted: 2833
% 180.22/180.72 Deletedinuse: 86
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 812292
% 180.22/180.72 Kept: 131132
% 180.22/180.72 Inuse: 2030
% 180.22/180.72 Deleted: 2834
% 180.22/180.72 Deletedinuse: 87
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 832685
% 180.22/180.72 Kept: 135130
% 180.22/180.72 Inuse: 2040
% 180.22/180.72 Deleted: 2835
% 180.22/180.72 Deletedinuse: 88
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 853016
% 180.22/180.72 Kept: 139109
% 180.22/180.72 Inuse: 2050
% 180.22/180.72 Deleted: 2836
% 180.22/180.72 Deletedinuse: 89
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 862497
% 180.22/180.72 Kept: 141681
% 180.22/180.72 Inuse: 2075
% 180.22/180.72 Deleted: 2838
% 180.22/180.72 Deletedinuse: 91
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72 Resimplifying clauses:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 920916
% 180.22/180.72 Kept: 149519
% 180.22/180.72 Inuse: 2090
% 180.22/180.72 Deleted: 3804
% 180.22/180.72 Deletedinuse: 92
% 180.22/180.72
% 180.22/180.72 Resimplifying inuse:
% 180.22/180.72 Done
% 180.22/180.72
% 180.22/180.72
% 180.22/180.72 Intermediate Status:
% 180.22/180.72 Generated: 975036
% 180.22/180.72 Kept:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------