TSTP Solution File: SCT038-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT038-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 21:00:43 EDT 2022
% Result : Timeout 300.03s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT038-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 07:37:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.29 *** allocated 10000 integers for termspace/termends
% 0.88/1.29 *** allocated 10000 integers for clauses
% 0.88/1.29 *** allocated 10000 integers for justifications
% 0.88/1.29 *** allocated 15000 integers for termspace/termends
% 0.88/1.29 *** allocated 22500 integers for termspace/termends
% 0.88/1.29 Bliksem 1.12
% 0.88/1.29
% 0.88/1.29
% 0.88/1.29 Automatic Strategy Selection
% 0.88/1.29
% 0.88/1.29 Clauses:
% 0.88/1.29 [
% 0.88/1.29 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.29 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.29 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.29 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.88/1.29 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.88/1.29 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.29 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.88/1.29 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.29 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.29 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.88/1.29 ) ) ],
% 0.88/1.29 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.29 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.88/1.29 ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.88/1.29 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), T ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.88/1.29 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), Z ) ) ],
% 0.88/1.29 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.29 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.29 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.29 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.29 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 0.88/1.29 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 0.88/1.29 ],
% 0.88/1.29 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 0.88/1.29 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 0.88/1.29 ],
% 0.88/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.29 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.88/1.29 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.88/1.29 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.88/1.29 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.29 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.88/1.29 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.88/1.29 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.88/1.29 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.88/1.29 'c_in'( W, Y, Z ) ) ],
% 0.88/1.29 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.29 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.88/1.29 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.88/1.29 ~( 'c_in'( W, T, U ) ) ],
% 0.88/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.29 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.29 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.29 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.88/1.29 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.88/1.29 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.29 ) ) ) ],
% 0.88/1.29 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.88/1.29 'c_in'( U, T, Z ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.88/1.29 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.29 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.88/1.29 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.88/1.29 ) ],
% 0.88/1.29 [ =( 'c_Product__Type_OSigma'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.29 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.88/1.29 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.29 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.29 , X ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.88/1.29 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.88/1.29 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.88/1.29 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.88/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.88/1.29 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.88/1.29 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.88/1.29 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.88/1.29 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.88/1.29 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.88/1.29 'tc_bool' ) ), X ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.88/1.29 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.88/1.29 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.88/1.29 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.88/1.29 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.88/1.29 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ =( 'c_Relation_OImage'( X,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.29 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.29 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.88/1.29 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.29 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.29 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.88/1.29 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.88/1.29 [ =( X, 'c_Pair'( hAPP( 'c_fst'( Y, Z ), X ), hAPP( 'c_snd'( Y, Z ), X )
% 0.88/1.29 , Y, Z ) ) ],
% 0.88/1.29 [ =( 'c_Pair'( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), Z ), X
% 0.88/1.29 , Y ), Z ) ],
% 0.88/1.29 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.88/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.29 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.88/1.29 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.88/1.29 Z, T ), 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.29 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.29 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.29 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.29 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.88/1.29 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.29 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.29 ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.29 ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.88/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.88/1.29 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.88/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.29 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.88/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.29 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.29 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.29 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.29 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.29 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.29 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.29 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.29 ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.29 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.88/1.29 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.29 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.88/1.29 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.29 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.88/1.29 X, T ), Y ) ) ) ],
% 0.88/1.29 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.88/1.29 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.88/1.29 , Z, T ), Z ) ) ],
% 0.88/1.29 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.29 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.88/1.29 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.29 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.29 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.29 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.29 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.88/1.29 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.88/1.29 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.29 ) ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.88/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.29 ) ],
% 0.88/1.29 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.29 ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.29 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.29 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.29 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.29 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.88/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.88/1.29 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.29 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.29 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.88/1.29 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.88/1.29 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.88/1.29 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.88/1.29 ],
% 0.88/1.29 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.29 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.88/1.29 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.88/1.29 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.88/1.29 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.29 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.29 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.29 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.29 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.88/1.29 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.88/1.29 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.88/1.29 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.88/1.29 [ =( 'c_Product__Type_OSigma'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.88/1.29 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.88/1.29 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.29 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.88/1.29 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.88/1.29 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.88/1.29 X, 'tc_bool' ) ), Y ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.88/1.29 'tc_bool' ) ), X ) ],
% 0.88/1.29 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.88/1.29 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.88/1.29 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.88/1.29 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.88/1.29 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.88/1.29 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.88/1.29 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.88/1.29 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.88/1.29 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.88/1.29 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.29 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.29 ) ), Y ) ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.29 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.88/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.88/1.29 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.88/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.88/1.29 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.29 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.29 ) ) ],
% 0.88/1.29 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.29 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.29 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.88/1.29 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.88/1.29 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.29 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.88/1.29 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.88/1.29 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.88/1.29 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.88/1.29 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.88/1.29 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.29 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.29 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.29 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.88/1.29 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.29 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.88/1.29 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.29 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.88/1.29 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.88/1.29 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.29 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.29 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.29 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.29 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.29 [ =( hAPP( 'c_split'( X, Y, Z, T ), U ), hAPP( hAPP( X, hAPP( 'c_fst'( Y
% 0.88/1.29 , Z ), U ) ), hAPP( 'c_snd'( Y, Z ), U ) ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.29 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.88/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.88/1.29 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.88/1.29 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.29 ],
% 0.88/1.29 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.29 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.29 ],
% 0.88/1.29 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.29 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.29 ],
% 0.88/1.29 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.88/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.88/1.30 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.30 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.88/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.88/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.88/1.30 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.88/1.30 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.30 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.88/1.30 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.88/1.30 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.88/1.30 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.30 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.30 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.30 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.88/1.30 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.88/1.30 ), 'tc_bool' ) ), X ) ],
% 0.88/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.88/1.30 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.88/1.30 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.88/1.30 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.30 'tc_bool' ) ), Y, X ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.30 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Oconverse'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.88/1.30 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.88/1.30 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.30 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.88/1.30 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.30 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.88/1.30 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.88/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.88/1.30 Y, Z ) ) ],
% 0.88/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.30 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.30 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.88/1.30 X, X ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.88/1.30 , T ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.88/1.30 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.30 ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.88/1.30 , T ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.30 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.88/1.30 , Z ) ],
% 0.88/1.30 [ =( 'c_Relation_Oconverse'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.88/1.30 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.88/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.88/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.88/1.30 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.88/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.30 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.30 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.30 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Orel__comp'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.30 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Orel__comp'( X,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.30 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.30 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.30 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 T, Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.30 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 T, Z, X ), X ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.30 Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.30 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.88/1.30 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.30 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.30 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.88/1.30 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.30 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.30 ) ), Z, X ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.30 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.30 ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.88/1.30 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.30 T, 'tc_bool' ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.88/1.30 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.30 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.88/1.30 'c_in'( X, T, Z ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.88/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.30 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.88/1.30 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.88/1.30 Z, T ), T ) ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.88/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.88/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.88/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.88/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.88/1.30 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.88/1.30 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.88/1.30 U, W ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.88/1.30 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.30 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.88/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.88/1.30 , T ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.88/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.88/1.30 , T ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.30 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.88/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.88/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.88/1.30 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.30 ), Y ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.30 ), Y ) ) ],
% 0.88/1.30 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.88/1.30 ), Y ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.88/1.30 , Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.30 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.30 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.88/1.30 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.88/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.88/1.30 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.88/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.88/1.30 [ =( hAPP( 'c_fst'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), Z ) ],
% 0.88/1.30 [ =( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( X, T, Y, Z ) ) ) ],
% 0.88/1.30 [ =( hAPP( 'c_snd'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), T ) ],
% 0.88/1.30 [ =( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, X, Y, Z ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.88/1.30 ~( hBOOL( hAPP( W, U ) ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 0.88/1.30 ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( W, T ) ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.88/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.88/1.30 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.30 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.88/1.30 , T, Z ) ) ],
% 0.88/1.30 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.88/1.30 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.88/1.30 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.88/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.88/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.88/1.30 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.88/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.88/1.30 , Z ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.88/1.30 'tc_bool' ) ), X ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.88/1.30 Y, X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.30 T, X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.88/1.30 Y, X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.30 T, X ), Z, X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.30 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.88/1.30 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.88/1.30 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.30 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.88/1.30 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.88/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.30 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.30 T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.30 Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.88/1.30 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.30 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.30 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.88/1.30 Z, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.30 T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.88/1.30 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.30 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.88/1.30 hAPP( X, T ) ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.88/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.88/1.30 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.88/1.30 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.30 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.88/1.30 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.88/1.30 'tc_bool' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.88/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.88/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.30 ) ],
% 0.88/1.30 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.88/1.30 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.30 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) )
% 0.88/1.30 ), hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.88/1.30 hAPP( X, U ), T ) ) ) ],
% 0.88/1.30 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.88/1.30 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.88/1.30 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.88/1.30 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.88/1.30 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.30 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.88/1.30 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.88/1.30 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.88/1.30 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.88/1.30 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.88/1.30 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.88/1.30 X, Z, T, U ),
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.88/1.30 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.88/1.30 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.88/1.30 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.88/1.30 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.88/1.30 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.88/1.30 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.30 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.88/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.88/1.30 Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.88/1.30 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.88/1.30 ],
% 0.88/1.30 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.88/1.30 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.88/1.30 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.88/1.30 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.88/1.30 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.88/1.30 T ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.88/1.30 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.88/1.30 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.88/1.30 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.88/1.30 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.88/1.30 U ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.88/1.30 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.88/1.30 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.88/1.30 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.88/1.30 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.88/1.30 ) ) ) ],
% 0.88/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.30 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.30 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.30 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.88/1.30 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.88/1.30 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.30 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.88/1.30 ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.88/1.30 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.30 ) ), Y ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.30 ) ), Y ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.30 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.88/1.30 'tc_bool' ) ) ) ],
% 0.88/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.88/1.30 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.88/1.30 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.30 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.88/1.30 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.88/1.30 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.88/1.30 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'v_P____'( X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a_H____',
% 0.88/1.30 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P_H____'( X ), 'tc_prod'(
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'v_P_H____'( X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.88/1.30 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____'( X ), 'tc_prod'(
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.88/1.30 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.88/1.30 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.88/1.30 ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.88/1.30 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.88/1.30 T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.88/1.30 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.88/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.88/1.30 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.88/1.30 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.88/1.30 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.88/1.30 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.88/1.30 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.88/1.30 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.88/1.30 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.88/1.30 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.88/1.30 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.88/1.30 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.88/1.30 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_OImage'( X,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.30 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.88/1.30 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.88/1.30 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.88/1.30 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.88/1.30 'tc_prod'( Y, Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.88/1.30 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.88/1.30 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.88/1.30 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.88/1.30 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.88/1.30 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.30 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.88/1.30 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.88/1.30 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.88/1.30 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.88/1.30 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.88/1.30 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.88/1.30 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.88/1.30 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.88/1.30 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.88/1.30 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.88/1.30 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.88/1.30 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.88/1.30 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.88/1.30 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.88/1.30 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.88/1.30 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.88/1.30 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.88/1.30 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.88/1.30 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.88/1.30 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.88/1.30 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 0.88/1.30 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.88/1.30 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'(
% 0.88/1.30 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ),
% 0.88/1.30 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 0.88/1.30 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.88/1.30 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.88/1.30 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.88/1.30 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.88/1.30 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.88/1.30 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.88/1.30 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.88/1.30 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.88/1.30 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.88/1.30 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 0.88/1.30 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 0.88/1.30 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.88/1.30 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 0.88/1.30 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 0.88/1.30 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 0.88/1.30 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 0.88/1.30 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.88/1.30 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.88/1.30 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.88/1.30 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.88/1.30 T, T ) ), =( Y, Z ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.88/1.30 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), =( X, Z ), ~( 'c_in'( 'c_Pair'(
% 0.88/1.30 X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T )
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.88/1.30 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z,
% 0.88/1.30 U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.88/1.30 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.88/1.30 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y,
% 0.88/1.30 Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.88/1.30 ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.88/1.30 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.88/1.30 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.88/1.30 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.88/1.30 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'(
% 0.88/1.30 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ),
% 0.88/1.30 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 0.88/1.30 , 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 0.88/1.30 , 't_a' ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.88/1.30 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 0.88/1.30 , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X
% 0.88/1.30 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ),
% 0.88/1.30 ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.88/1.30 ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.88/1.30 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.88/1.30 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.88/1.30 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.88/1.30 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X, Y, Z, T
% 0.88/1.30 , U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T, U ),
% 0.88/1.30 'tc_prod'( T, U ) ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.88/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.30 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.88/1.30 ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.88/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.30 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.88/1.30 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.30 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.88/1.30 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.88/1.30 Z ) ) ],
% 0.88/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.88/1.30 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.88/1.30 , Z ) ) ],
% 0.88/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.30 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.88/1.30 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.88/1.30 , X, 'tc_prod'( Z, Z ) ) ],
% 0.88/1.30 [ =( 'c_Set_Oimage'( 'c_snd'( X, Y ), Z, 'tc_prod'( X, Y ), Y ),
% 0.88/1.30 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.88/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.88/1.30 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.88/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ =( 'c_Set_Oimage'( 'c_fst'( X, Y ), Z, 'tc_prod'( X, Y ), X ),
% 0.88/1.30 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.88/1.30 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.88/1.30 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.88/1.30 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.88/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.88/1.30 , 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.88/1.30 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.88/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.88/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.30 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.88/1.30 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.88/1.30 X, U ), W ) ) ],
% 0.88/1.30 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.88/1.30 X, U ), W ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.30 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.88/1.30 , T ) ) ) ],
% 0.88/1.30 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.30 , Z, T ) ) ],
% 0.88/1.30 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.88/1.30 , Z, T ) ) ],
% 0.88/1.30 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.88/1.30 , U ), U ) ],
% 0.88/1.30 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.88/1.30 , U ), U ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.30 Y, Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.88/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.88/1.30 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.88/1.30 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.30 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.88/1.30 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.88/1.30 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.88/1.30 , T ), T ) ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.88/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.88/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.30 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.88/1.30 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.88/1.30 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.88/1.30 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.88/1.30 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.88/1.30 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.88/1.30 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.88/1.30 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.88/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.88/1.30 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.30 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.88/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.88/1.30 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.88/1.30 Y ) ],
% 0.88/1.30 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.30 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.88/1.30 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.88/1.30 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.30 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.30 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.30 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.88/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.88/1.30 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.88/1.30 'c_Relation_OId'( X ) ) ],
% 0.88/1.30 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.88/1.30 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.88/1.30 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.88/1.30 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.88/1.30 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.88/1.30 , Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.30 'c_Relation_Otrans'( X, Z ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.88/1.30 'c_Relation_OId__on'( X, Y ) ) ],
% 0.88/1.30 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.88/1.30 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.88/1.30 , Y ), X, Y ) ],
% 0.88/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.30 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.88/1.30 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.88/1.30 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.88/1.30 ],
% 0.88/1.30 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.88/1.30 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.88/1.30 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.88/1.30 X ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.88/1.30 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.88/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.88/1.30 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.30 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.88/1.30 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.88/1.30 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.88/1.30 Y, Z ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.88/1.30 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.30 Y, Y ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.88/1.30 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.88/1.30 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.88/1.30 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.88/1.30 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.88/1.30 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.88/1.30 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.88/1.30 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.88/1.30 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.88/1.30 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.88/1.30 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.88/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.88/1.30 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.88/1.30 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.88/1.30 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.88/1.30 ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.88/1.30 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.88/1.30 , T ), T ) ) ],
% 0.88/1.30 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.88/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.88/1.30 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.88/1.30 ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.88/1.30 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.88/1.30 ), U ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.88/1.30 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.88/1.30 't_a' ), 't_a' ) ) ],
% 0.88/1.30 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.88/1.30 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.30 T, Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.88/1.30 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.88/1.30 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.88/1.30 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.88/1.30 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.88/1.30 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.30 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.88/1.30 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.88/1.30 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.88/1.30 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.88/1.30 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.88/1.30 ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.88/1.30 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.88/1.30 't_a' ), 't_a' ) ) ],
% 0.88/1.30 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.88/1.30 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 0.88/1.30 V0, 'tc_prod'( T, U ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.88/1.30 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.88/1.30 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.88/1.30 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.88/1.30 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.88/1.30 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.88/1.30 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.88/1.30 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X,
% 0.88/1.30 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.88/1.30 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.88/1.30 Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.88/1.30 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.88/1.30 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.88/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.88/1.30 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.88/1.30 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.88/1.30 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.88/1.30 [ ~( =( 'v_b____', 'v_a_H____' ) ) ],
% 0.88/1.30 [ ~( =( 'v_a____', 'v_b_H____' ) ) ],
% 0.88/1.30 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 0.88/1.30 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.88/1.30 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.88/1.30 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.88/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.88/1.30 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.88/1.30 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( hBOOL( hAPP(
% 0.88/1.30 hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.88/1.30 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.88/1.30 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.88/1.30 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.88/1.30 Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.88/1.30 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.88/1.30 Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.88/1.30 Z ) ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.88/1.30 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.88/1.30 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.88/1.30 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.88/1.30 Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.88/1.30 , 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.88/1.30 ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.88/1.30 ), 'tc_prod'( Y, Y ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.30 T, Z ) ) ],
% 0.88/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.88/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.88/1.30 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.88/1.30 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.88/1.30 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.88/1.30 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.88/1.30 ) ],
% 0.88/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.88/1.30 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.88/1.30 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.88/1.30 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.88/1.30 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.88/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.88/1.30 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.88/1.30 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.88/1.30 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.88/1.30 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.88/1.30 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.88/1.30 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.88/1.30 , Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.88/1.30 , Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.88/1.30 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.88/1.30 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.88/1.30 Z, V0 ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.88/1.30 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.88/1.30 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.88/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.88/1.30 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.88/1.30 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.88/1.30 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.88/1.30 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.30 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.30 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.30 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.88/1.30 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.30 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.30 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.30 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.88/1.30 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.88/1.30 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.88/1.30 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.30 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.88/1.30 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.88/1.30 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.30 , =( X, Y ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.88/1.30 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.88/1.30 , Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.88/1.30 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.88/1.30 , Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.88/1.30 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.88/1.30 Y, Z ), Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.88/1.30 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.88/1.30 Y, Z ), Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.88/1.30 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.88/1.30 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.88/1.30 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.88/1.30 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.88/1.30 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.88/1.30 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.88/1.30 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.88/1.30 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.88/1.30 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.88/1.30 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.88/1.30 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.88/1.30 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.88/1.30 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 0.88/1.30 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.88/1.30 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.88/1.30 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.88/1.30 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.88/1.30 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.88/1.30 [ ~( =( 'v_a_H____', 'v_b_H____' ) ) ],
% 0.88/1.30 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.88/1.30 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_b_H____',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'v_F'( 'v_Q____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( 'v_b____', 'v_b_H____' ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'v_a_H____', 'v_a____',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'v_F'( 'v_Q____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( 'v_a____', 'v_a_H____' ) ],
% 0.88/1.30 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'v_F'( 'v_Q____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.88/1.30 [ ~( 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.30 'v_F'( 'v_Q____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.88/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.30 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.88/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.30 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.30 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.30 'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.30 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.30 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.30 'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.30 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.88/1.30 Y ) ) ],
% 0.88/1.30 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.88/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.30 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.30 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.30 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.30 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.30 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.30 [ 'c_fequal'( X, X, Y ) ],
% 0.88/1.30 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.88/1.30 ] .
% 0.88/1.30
% 0.88/1.30
% 0.88/1.30 percentage equality = 0.238889, percentage horn = 0.881188
% 0.88/1.30 This is a problem with some equality
% 0.88/1.30
% 0.88/1.30
% 0.88/1.30
% 0.88/1.30 Options Used:
% 0.88/1.30
% 0.88/1.30 useres = 1
% 0.88/1.30 useparamod = 1
% 0.88/1.30 useeqrefl = 1
% 0.88/1.30 useeqfact = 1
% 0.88/1.30 usefactor = 1
% 0.88/1.30 usesimpsplitting = 0
% 0.88/1.30 usesimpdemod = 5
% 0.88/1.30 usesimpres = 3
% 0.88/1.30
% 0.88/1.30 resimpinuse = 1000
% 0.88/1.30 resimpclauses = 20000
% 0.88/1.30 substype = eqrewr
% 0.88/1.30 backwardsubs = 1
% 0.88/1.30 selectoldest = 5
% 0.88/1.30
% 0.88/1.30 litorderings [0] = split
% 0.88/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.30
% 0.88/1.30 termordering = kbo
% 0.88/1.30
% 0.88/1.30 litapriori = 0
% 0.88/1.30 termapriori = 1
% 0.88/1.30 litaposteriori = 0
% 0.88/1.30 termaposteriori = 0
% 0.88/1.30 demodaposteriori = 0
% 0.88/1.30 ordereqreflfact = 0
% 0.88/1.30
% 0.88/1.30 litselect = negord
% 0.88/1.30
% 0.88/1.30 maxweight = 15
% 0.88/1.30 maxdepth = 30000
% 0.88/1.30 maxlength = 115
% 0.88/1.30 maxnrvars = 195
% 0.88/1.30 excuselevel = 1
% 0.88/1.30 increasemaxweight = 1
% 0.88/1.30
% 0.88/1.30 maxselected = 10000000
% 0.88/1.30 maxnrclauses = 10000000
% 0.88/1.30
% 0.88/1.30 showgenerated = 0
% 0.88/1.30 showkept = 0
% 0.88/1.30 showselected = 0
% 0.88/1.30 showdeleted = 0
% 0.88/1.30 showresimp = 1
% 0.88/1.30 showstatus = 2000
% 0.88/1.30
% 0.88/1.30 prologoutput = 1
% 0.88/1.30 nrgoals = 5000000
% 0.88/1.30 totalproof = 1
% 0.88/1.30
% 0.88/1.30 Symbols occurring in the translation:
% 0.88/1.30
% 0.88/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.30 . [1, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.88/1.30 ! [4, 1] (w:0, o:77, a:1, s:1, b:0),
% 0.88/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.30 'tc_bool' [41, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.88/1.30 'tc_fun' [42, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.88/1.30 'c_Orderings_Obot__class_Obot' [43, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_OImage' [45, 4] (w:1, o:183, a:1, s:1, b:0),
% 0.88/1.30 'c_Set_Oinsert' [48, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf' [50, 3] (w:1, o:160, a:1
% 0.88/1.30 , s:1, b:0),
% 0.88/1.30 'c_HOL_Ominus__class_Ominus' [51, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.88/1.30 'class_Orderings_Obot' [52, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.88/1.30 'c_lessequals' [54, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.88/1.30 'tc_prod' [55, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_Orel__comp' [57, 5] (w:1, o:204, a:1, s:1, b:0),
% 0.88/1.30 'c_Lattices_Oupper__semilattice__class_Osup' [58, 3] (w:1, o:163, a:1
% 0.88/1.30 , s:1, b:0),
% 0.88/1.30 'c_Set_Oimage' [61, 4] (w:1, o:185, a:1, s:1, b:0),
% 0.88/1.30 'c_Transitive__Closure_Ortrancl' [62, 2] (w:1, o:127, a:1, s:1, b:0)
% 0.88/1.30 ,
% 0.88/1.30 'c_snd' [64, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.88/1.30 hAPP [66, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.88/1.30 'c_fst' [68, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.88/1.30 hBOOL [72, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [74, 3] (w:1, o:
% 0.88/1.30 164, a:1, s:1, b:0),
% 0.88/1.30 'c_Wellfounded_Owf' [75, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_ORange' [76, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.88/1.30 'c_in' [78, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.88/1.30 'c_COMBK' [79, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.88/1.30 'c_Product__Type_OSigma' [80, 4] (w:1, o:186, a:1, s:1, b:0),
% 0.88/1.30 'c_Transitive__Closure_Otrancl' [82, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.88/1.30
% 0.88/1.30 'c_Relation_ODomain' [85, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.88/1.30 'class_Lattices_Odistrib__lattice' [86, 1] (w:1, o:85, a:1, s:1, b:0)
% 0.88/1.30 ,
% 0.88/1.30 'c_Relation_OId__on' [89, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_Orefl__on' [90, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.88/1.30 'class_Lattices_Oupper__semilattice' [91, 1] (w:1, o:86, a:1, s:1, b:
% 0.88/1.30 0),
% 0.88/1.30 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [95, 3] (w:1, o:167, a:
% 0.88/1.30 1, s:1, b:0),
% 0.88/1.30 'c_Pair' [96, 4] (w:1, o:187, a:1, s:1, b:0),
% 0.88/1.30 'class_OrderedGroup_Oab__group__add' [99, 1] (w:1, o:87, a:1, s:1, b:
% 0.88/1.30 0),
% 0.88/1.30 'class_Lattices_Olattice' [102, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.88/1.30 'class_Lattices_Olower__semilattice' [103, 1] (w:1, o:89, a:1, s:1
% 0.88/1.30 , b:0),
% 0.88/1.30 'c_Wellfounded_Oacyclic' [104, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.88/1.30 'c_Equiv__Relations_Oequiv' [105, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_Osym' [106, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.88/1.30 'class_Lattices_Obounded__lattice' [107, 1] (w:1, o:90, a:1, s:1, b:0
% 0.88/1.30 ),
% 0.88/1.30 'c_Relation_Otrans' [109, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [111, 3] (w:1, o:
% 0.88/1.30 169, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_Oconverse' [112, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.88/1.30 'class_Orderings_Oorder' [113, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.88/1.30 'c_split' [114, 4] (w:1, o:188, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_Oantisym' [115, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_Ototal__on' [117, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.88/1.30 'c_Order__Relation_Ostrict__linear__order__on' [118, 3] (w:1, o:170
% 0.88/1.30 , a:1, s:1, b:0),
% 0.88/1.30 'c_Wellfounded_Oacc' [121, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.88/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [123, 3]
% 0.88/1.30 (w:1, o:171, a:1, s:1, b:0),
% 0.88/1.30 'c_List_Osko__Recdef__Xcuts__eq__1__1' [125, 6] (w:1, o:209, a:1, s:1
% 0.88/1.30 , b:0),
% 0.88/1.30 'c_Recdef_Ocut' [126, 5] (w:1, o:205, a:1, s:1, b:0),
% 0.88/1.30 'class_HOL_Oord' [127, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.88/1.30 'class_Orderings_Opreorder' [128, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_Osingle__valued' [129, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.88/1.30 'class_OrderedGroup_Opordered__ab__group__add' [130, 1] (w:1, o:94
% 0.88/1.30 , a:1, s:1, b:0),
% 0.88/1.30 'class_Orderings_Olinorder' [132, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.88/1.30 'c_Relation_Oirrefl' [133, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 0.88/1.30 [134, 4] (w:1, o:189, a:1, s:1, b:0),
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 0.88/1.30 [135, 4] (w:1, o:190, a:1, s:1, b:0),
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [136, 4
% 0.88/1.30 ] (w:1, o:191, a:1, s:1, b:0),
% 0.88/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [137, 4
% 5.47/5.91 ] (w:1, o:192, a:1, s:1, b:0),
% 5.47/5.91 'c_Relation_OId' [138, 1] (w:1, o:96, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [139, 5] (w:1, o:206
% 5.47/5.91 , a:1, s:1, b:0),
% 5.47/5.91 'v_a____' [140, 0] (w:1, o:59, a:1, s:1, b:0),
% 5.47/5.91 'v_b____' [141, 0] (w:1, o:61, a:1, s:1, b:0),
% 5.47/5.91 'tc_Arrow__Order__Mirabelle_Oalt' [142, 0] (w:1, o:62, a:1, s:1, b:0)
% 5.47/5.91 ,
% 5.47/5.91 'v_P____' [144, 1] (w:1, o:97, a:1, s:1, b:0),
% 5.47/5.91 'v_a_H____' [145, 0] (w:1, o:60, a:1, s:1, b:0),
% 5.47/5.91 'v_b_H____' [146, 0] (w:1, o:64, a:1, s:1, b:0),
% 5.47/5.91 'v_P_H____' [147, 1] (w:1, o:98, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [148, 4]
% 5.47/5.91 (w:1, o:193, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [149, 4]
% 5.47/5.91 (w:1, o:194, a:1, s:1, b:0),
% 5.47/5.91 'c_Nitpick_Orefl_H' [150, 2] (w:1, o:140, a:1, s:1, b:0),
% 5.47/5.91 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [151, 2] (w:1, o:141
% 5.47/5.91 , a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [152, 2] (w:1, o:
% 5.47/5.91 142, a:1, s:1, b:0),
% 5.47/5.91 'v_r' [153, 0] (w:1, o:65, a:1, s:1, b:0),
% 5.47/5.91 't_a' [154, 0] (w:1, o:66, a:1, s:1, b:0),
% 5.47/5.91 't_b' [155, 0] (w:1, o:67, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [156, 3] (w:1, o:172
% 5.47/5.91 , a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [157, 2] (w:1
% 5.47/5.91 , o:143, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [158, 2] (w:1, o:
% 5.47/5.91 144, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [159, 2] (w:1, o:145, a:1
% 5.47/5.91 , s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [160, 7] (w:1
% 5.47/5.91 , o:211, a:1, s:1, b:0),
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% 5.47/5.91 , 2] (w:1, o:146, a:1, s:1, b:0),
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% 5.47/5.91 4] (w:1, o:195, a:1, s:1, b:0),
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% 5.47/5.91 , a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [166, 4]
% 5.47/5.91 (w:1, o:196, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [168, 4]
% 5.47/5.91 (w:1, o:197, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [169
% 5.47/5.91 , 4] (w:1, o:198, a:1, s:1, b:0),
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% 5.47/5.91 174, a:1, s:1, b:0),
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% 5.47/5.91 207, a:1, s:1, b:0),
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% 5.47/5.91 'c_Wellfounded_OwfP' [173, 2] (w:1, o:147, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [175, 3] (w:1
% 5.47/5.91 , o:176, a:1, s:1, b:0),
% 5.47/5.91 'v_sko__Wellfounded__Xacc__Xinducts__1' [176, 2] (w:1, o:148, a:1, s:
% 5.47/5.91 1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [177, 3]
% 5.47/5.91 (w:1, o:177, a:1, s:1, b:0),
% 5.47/5.91 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [178, 5] (w:1, o:
% 5.47/5.91 208, a:1, s:1, b:0),
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% 5.47/5.91 1, o:178, a:1, s:1, b:0),
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% 5.47/5.91 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [182, 3]
% 5.47/5.91 (w:1, o:179, a:1, s:1, b:0),
% 5.47/5.91 'v_sko__Wellfounded__Xacc__Xinduct__1' [183, 2] (w:1, o:149, a:1, s:1
% 5.47/5.91 , b:0),
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% 5.47/5.91 180, a:1, s:1, b:0),
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% 5.47/5.91 , o:181, a:1, s:1, b:0),
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% 5.47/5.91 ,
% 5.47/5.91 'c_Equiv__Relations_Ocongruent2' [189, 6] (w:1, o:210, a:1, s:1, b:0)
% 5.47/5.91 ,
% 5.47/5.91 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [190, 4] (w:1, o:200
% 5.47/5.91 , a:1, s:1, b:0),
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% 5.47/5.91 , a:1, s:1, b:0),
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% 24.37/24.82 202, a:1, s:1, b:0),
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% 24.37/24.82 203, a:1, s:1, b:0),
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% 24.37/24.82 0),
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% 24.37/24.82 0),
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% 24.37/24.82 152, a:1, s:1, b:0),
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% 24.37/24.82 'v_F' [206, 1] (w:1, o:99, a:1, s:1, b:0),
% 24.37/24.82 'c_fequal' [209, 3] (w:1, o:182, a:1, s:1, b:0).
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Starting Search:
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 5174
% 24.37/24.82 Kept: 2132
% 24.37/24.82 Inuse: 140
% 24.37/24.82 Deleted: 2
% 24.37/24.82 Deletedinuse: 1
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 12863
% 24.37/24.82 Kept: 4147
% 24.37/24.82 Inuse: 293
% 24.37/24.82 Deleted: 8
% 24.37/24.82 Deletedinuse: 1
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 20042
% 24.37/24.82 Kept: 6148
% 24.37/24.82 Inuse: 394
% 24.37/24.82 Deleted: 12
% 24.37/24.82 Deletedinuse: 4
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 27267
% 24.37/24.82 Kept: 8288
% 24.37/24.82 Inuse: 475
% 24.37/24.82 Deleted: 13
% 24.37/24.82 Deletedinuse: 4
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 37905
% 24.37/24.82 Kept: 10296
% 24.37/24.82 Inuse: 563
% 24.37/24.82 Deleted: 18
% 24.37/24.82 Deletedinuse: 6
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 48932
% 24.37/24.82 Kept: 12321
% 24.37/24.82 Inuse: 614
% 24.37/24.82 Deleted: 18
% 24.37/24.82 Deletedinuse: 6
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 74814
% 24.37/24.82 Kept: 16059
% 24.37/24.82 Inuse: 677
% 24.37/24.82 Deleted: 21
% 24.37/24.82 Deletedinuse: 7
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 93071
% 24.37/24.82 Kept: 18470
% 24.37/24.82 Inuse: 682
% 24.37/24.82 Deleted: 21
% 24.37/24.82 Deletedinuse: 7
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying clauses:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 103930
% 24.37/24.82 Kept: 20503
% 24.37/24.82 Inuse: 726
% 24.37/24.82 Deleted: 229
% 24.37/24.82 Deletedinuse: 8
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 122355
% 24.37/24.82 Kept: 23188
% 24.37/24.82 Inuse: 776
% 24.37/24.82 Deleted: 229
% 24.37/24.82 Deletedinuse: 8
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 150928
% 24.37/24.82 Kept: 25359
% 24.37/24.82 Inuse: 792
% 24.37/24.82 Deleted: 230
% 24.37/24.82 Deletedinuse: 9
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 165781
% 24.37/24.82 Kept: 27381
% 24.37/24.82 Inuse: 825
% 24.37/24.82 Deleted: 233
% 24.37/24.82 Deletedinuse: 12
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 177333
% 24.37/24.82 Kept: 30031
% 24.37/24.82 Inuse: 836
% 24.37/24.82 Deleted: 233
% 24.37/24.82 Deletedinuse: 12
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 194300
% 24.37/24.82 Kept: 32064
% 24.37/24.82 Inuse: 898
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% 24.37/24.82 Deletedinuse: 13
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 208708
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% 24.37/24.82 Inuse: 933
% 24.37/24.82 Deleted: 239
% 24.37/24.82 Deletedinuse: 15
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 224460
% 24.37/24.82 Kept: 36177
% 24.37/24.82 Inuse: 978
% 24.37/24.82 Deleted: 240
% 24.37/24.82 Deletedinuse: 16
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 245714
% 24.37/24.82 Kept: 39347
% 24.37/24.82 Inuse: 1023
% 24.37/24.82 Deleted: 241
% 24.37/24.82 Deletedinuse: 17
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying clauses:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 266652
% 24.37/24.82 Kept: 41349
% 24.37/24.82 Inuse: 1062
% 24.37/24.82 Deleted: 670
% 24.37/24.82 Deletedinuse: 26
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 283794
% 24.37/24.82 Kept: 43350
% 24.37/24.82 Inuse: 1109
% 24.37/24.82 Deleted: 670
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% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 302278
% 24.37/24.82 Kept: 45441
% 24.37/24.82 Inuse: 1158
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% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 24.37/24.82
% 24.37/24.82
% 24.37/24.82 Intermediate Status:
% 24.37/24.82 Generated: 329200
% 24.37/24.82 Kept: 48798
% 24.37/24.82 Inuse: 1193
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% 24.37/24.82 Deletedinuse: 26
% 24.37/24.82
% 24.37/24.82 Resimplifying inuse:
% 24.37/24.82 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 347807
% 98.55/98.96 Kept: 50938
% 98.55/98.96 Inuse: 1230
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% 98.55/98.96 Deletedinuse: 26
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 356595
% 98.55/98.96 Kept: 53030
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% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 367435
% 98.55/98.96 Kept: 55194
% 98.55/98.96 Inuse: 1272
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% 98.55/98.96 Deletedinuse: 28
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 385464
% 98.55/98.96 Kept: 57435
% 98.55/98.96 Inuse: 1295
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% 98.55/98.96 Deletedinuse: 28
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 403042
% 98.55/98.96 Kept: 59592
% 98.55/98.96 Inuse: 1348
% 98.55/98.96 Deleted: 698
% 98.55/98.96 Deletedinuse: 29
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying clauses:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 415233
% 98.55/98.96 Kept: 61699
% 98.55/98.96 Inuse: 1403
% 98.55/98.96 Deleted: 1263
% 98.55/98.96 Deletedinuse: 33
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 430165
% 98.55/98.96 Kept: 63828
% 98.55/98.96 Inuse: 1435
% 98.55/98.96 Deleted: 1269
% 98.55/98.96 Deletedinuse: 36
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 446790
% 98.55/98.96 Kept: 65932
% 98.55/98.96 Inuse: 1490
% 98.55/98.96 Deleted: 1272
% 98.55/98.96 Deletedinuse: 39
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 462363
% 98.55/98.96 Kept: 68091
% 98.55/98.96 Inuse: 1535
% 98.55/98.96 Deleted: 1285
% 98.55/98.96 Deletedinuse: 52
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 483902
% 98.55/98.96 Kept: 72343
% 98.55/98.96 Inuse: 1568
% 98.55/98.96 Deleted: 1290
% 98.55/98.96 Deletedinuse: 55
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 498475
% 98.55/98.96 Kept: 75117
% 98.55/98.96 Inuse: 1573
% 98.55/98.96 Deleted: 1290
% 98.55/98.96 Deletedinuse: 55
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.55/98.96 Intermediate Status:
% 98.55/98.96 Generated: 513563
% 98.55/98.96 Kept: 77946
% 98.55/98.96 Inuse: 1578
% 98.55/98.96 Deleted: 1290
% 98.55/98.96 Deletedinuse: 55
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96 Resimplifying inuse:
% 98.55/98.96 Done
% 98.55/98.96
% 98.55/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 562639
% 98.60/98.96 Kept: 80131
% 98.60/98.96 Inuse: 1598
% 98.60/98.96 Deleted: 1290
% 98.60/98.96 Deletedinuse: 55
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying clauses:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 600503
% 98.60/98.96 Kept: 83213
% 98.60/98.96 Inuse: 1603
% 98.60/98.96 Deleted: 1816
% 98.60/98.96 Deletedinuse: 55
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 617677
% 98.60/98.96 Kept: 86597
% 98.60/98.96 Inuse: 1613
% 98.60/98.96 Deleted: 1816
% 98.60/98.96 Deletedinuse: 55
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 634640
% 98.60/98.96 Kept: 89896
% 98.60/98.96 Inuse: 1621
% 98.60/98.96 Deleted: 1818
% 98.60/98.96 Deletedinuse: 55
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 659519
% 98.60/98.96 Kept: 94521
% 98.60/98.96 Inuse: 1651
% 98.60/98.96 Deleted: 1818
% 98.60/98.96 Deletedinuse: 55
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 681110
% 98.60/98.96 Kept: 98575
% 98.60/98.96 Inuse: 1676
% 98.60/98.96 Deleted: 1819
% 98.60/98.96 Deletedinuse: 56
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying clauses:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 696317
% 98.60/98.96 Kept: 100752
% 98.60/98.96 Inuse: 1705
% 98.60/98.96 Deleted: 2300
% 98.60/98.96 Deletedinuse: 56
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 712656
% 98.60/98.96 Kept: 102753
% 98.60/98.96 Inuse: 1749
% 98.60/98.96 Deleted: 2300
% 98.60/98.96 Deletedinuse: 56
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 746548
% 98.60/98.96 Kept: 104826
% 98.60/98.96 Inuse: 1785
% 98.60/98.96 Deleted: 2301
% 98.60/98.96 Deletedinuse: 57
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 774121
% 98.60/98.96 Kept: 106843
% 98.60/98.96 Inuse: 1835
% 98.60/98.96 Deleted: 2305
% 98.60/98.96 Deletedinuse: 61
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 788194
% 98.60/98.96 Kept: 108892
% 98.60/98.96 Inuse: 1871
% 98.60/98.96 Deleted: 2314
% 98.60/98.96 Deletedinuse: 69
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96
% 98.60/98.96 Intermediate Status:
% 98.60/98.96 Generated: 801019
% 98.60/98.96 Kept: 111181
% 98.60/98.96 Inuse: 1894
% 98.60/98.96 Deleted: 2316
% 98.60/98.96 Deletedinuse: 71
% 98.60/98.96
% 98.60/98.96 Resimplifying inuse:
% 98.60/98.96 Done
% 98.60/98.96
% 98.60/98.96 Resimplifying inuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------