TSTP Solution File: SCT003-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT003-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:27 EDT 2022
% Result : Timeout 300.06s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SCT003-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jul 2 06:36:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.89/1.30 *** allocated 10000 integers for termspace/termends
% 0.89/1.30 *** allocated 10000 integers for clauses
% 0.89/1.30 *** allocated 10000 integers for justifications
% 0.89/1.30 *** allocated 15000 integers for termspace/termends
% 0.89/1.30 Bliksem 1.12
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 Automatic Strategy Selection
% 0.89/1.30
% 0.89/1.30 Clauses:
% 0.89/1.30 [
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.89/1.30 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.89/1.30 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.89/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.89/1.30 [ =( 'c_Relation_OImage'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.30 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.30 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.89/1.30 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.89/1.30 ), 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.89/1.30 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.89/1.30 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.89/1.30 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.89/1.30 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.89/1.30 X, X ), 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opartial__order__on'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.89/1.30 ), X ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opreorder__on'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Olinear__order__on'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.30 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 0.89/1.30 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.89/1.30 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.30 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 0.89/1.30 , 'c_Equiv__Relations_Oquotient'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), Z ), T ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), 'c_Relation_OField'( X, Z ) )
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 'c_Relation_OField'( X, Z )
% 0.89/1.30 ) ) ), ~( 'c_Order__Relation_Opartial__order__on'( 'c_Relation_OField'(
% 0.89/1.30 X, Z ), X, Z ) ), =( Y, T ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Y ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.89/1.30 'tc_prod'( Y, Y ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.30 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 , X ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'c_Collect'( X, Z ),
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Olinear__order__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Relation_Ototal__on'( X, Y, Z ) ), ~(
% 0.89/1.30 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.30 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y
% 0.89/1.30 , X, X ) ), T ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), U )
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 0.89/1.30 'c_Relation_Ototal__on'( U, T, X ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.89/1.30 U ) ) ],
% 0.89/1.30 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.89/1.30 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.89/1.30 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.89/1.30 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.89/1.30 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.89/1.30 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.89/1.30 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 X, X ), 'tc_bool' ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.30 X, X ) ), Y ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 X, X ), 'tc_bool' ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.30 X, X ) ), Y ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.30 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y, Z ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.30 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.89/1.30 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.89/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.30 Y, Z ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opartial__order__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Relation_Oantisym'( Y, Z ) ), ~( 'c_Order__Relation_Opreorder__on'( X
% 0.89/1.30 , Y, Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.30 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.30 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.89/1.30 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( Z, Z
% 0.89/1.30 , Y, Y ) ), 'c_Transitive__Closure_Otrancl'( X, Y ) ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), 'c_Relation_OField'( X, Z ) )
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 'c_Relation_OField'( X, Z )
% 0.89/1.30 ) ) ), ~( 'c_Relation_Oantisym'( X, Z ) ), ~( 'c_Relation_Orefl__on'(
% 0.89/1.30 'c_Relation_OField'( X, Z ), X, Z ) ), =( Y, T ) ],
% 0.89/1.30 [ =( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'(
% 0.89/1.30 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Z, X, Y, T ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, T ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, 'tc_bool' ) ), X ),
% 0.89/1.30 'c_Equiv__Relations_Oquotient'( Z, Y, T ) ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.89/1.30 'tc_prod'( Y, Y ) ), ~( 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Y ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.89/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.30 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.30 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.30 X, Y ), X, Y, Y, Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.89/1.30 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.89/1.30 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.89/1.30 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.89/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.30 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.89/1.30 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.89/1.30 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.30 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.89/1.30 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.89/1.30 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.30 X, T ), Y ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.89/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.89/1.30 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X,
% 0.89/1.30 X ) ), 'c_Transitive__Closure_Otrancl'( Z, X ) ) ) ), ~(
% 0.89/1.30 'c_Wellfounded_Oacyclic'( Z, X ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.89/1.30 'c_Relation_Otrans'( X, Z ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.30 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.30 U, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.89/1.30 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.30 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.89/1.30 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.89/1.30 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.89/1.30 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.30 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.30 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, X, X ),
% 0.89/1.30 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z,
% 0.89/1.30 Y, X, X ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, X, X ), X )
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.30 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.89/1.30 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.89/1.30 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~(
% 0.89/1.30 'c_Order__Relation_Opartial__order__on'( Z, X, Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.89/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Complete__Lattice_OInf__class_OInf'( X,
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ) ), Y ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.89/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.89/1.30 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.30 'c_Set_OPow'( Y, X ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.89/1.30 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opartial__order__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.89/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.89/1.30 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.30 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 0.89/1.30 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 0.89/1.30 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.89/1.30 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.30 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Relation_Oinv__image'( T, U, W, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( W, W ) ), 'c_Pair'( hAPP( U, Y ), hAPP( U, Z ), W, W )
% 0.89/1.30 ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( hAPP( Y, Z )
% 0.89/1.30 , hAPP( Y, T ), X, X ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.30 W, W ) ), 'c_Pair'( Z, T, W, W ) ), 'c_Relation_Oinv__image'( U, Y, X, W
% 0.89/1.30 ) ) ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opreorder__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.89/1.30 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.89/1.30 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.89/1.30 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.89/1.30 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Relation_OField'( X, Y ), Y ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Y ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.30 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.30 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.30 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.89/1.30 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Orel__comp'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.30 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.89/1.30 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.30 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.89/1.30 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 0.89/1.30 , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.89/1.30 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 0.89/1.30 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 0.89/1.30 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.30 ), 'c_Relation_Orel__comp'( U, W, X, V0, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( V0, Y ) ), 'c_Pair'( V1, T, V0, Y ) ), W ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, V0 ) ), 'c_Pair'( Z, V1, X, V0 )
% 0.89/1.30 ), U ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.30 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.30 ) ), Z, X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.30 ) ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.89/1.30 ) ), Y ) ],
% 0.89/1.30 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.89/1.30 Y, X ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.30 'c_Collect'( T, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.30 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.30 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.89/1.30 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 0.89/1.30 Z, T, U ), U, X ) ) ],
% 0.89/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.89/1.30 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.30 , 'tc_bool' ) ) ) ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( T,
% 0.89/1.30 Z, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.30 Y, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.30 ) ), T ), X ) ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.30 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.30 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z, T ) ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.89/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.89/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.89/1.30 'c_Relation_Otrans'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.89/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( Z ), X ), Y ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.89/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.89/1.30 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.30 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.89/1.30 ), 'c_Relation_OId'( X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.89/1.30 ), 'c_Relation_OId'( X ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.89/1.30 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.30 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( X,
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.30 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.30 , X, Z ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( U,
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.30 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.30 , U, Z ) ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.89/1.30 , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'(
% 0.89/1.30 Z, T, X ) ), Z ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ ~( =( hAPP( X, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X
% 0.89/1.30 , Z, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'(
% 0.89/1.30 Y, X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, U ) ),
% 0.89/1.30 Z ), 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_fun'( T, U ) ), X ), 'c_FuncSet_Oextensional'( Y, T, U ) ) )
% 0.89/1.30 ), =( X, Z ) ],
% 0.89/1.30 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.30 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.89/1.30 X, Y, Z, Z ) ), 'c_Relation_OId'( Z ) ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.89/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.89/1.30 X, Y, Z, Z ) ), 'c_Relation_OId__on'( T, Z ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.89/1.30 ), 'c_Relation_OId__on'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.30 Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ),
% 0.89/1.30 'c_Relation_OId__on'( Z, X ) ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.89/1.30 Y, X, Z, Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z )
% 0.89/1.30 ), 'c_Pair'( X, Y, Z, Z ) ), T ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) )
% 0.89/1.30 ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.89/1.30 Y, X, Z, Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z )
% 0.89/1.30 ), 'c_Pair'( X, Y, Z, Z ) ), T ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Order__Relation_Opreorder__on'( Z,
% 0.89/1.30 X, Y ) ) ],
% 0.89/1.30 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.30 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.89/1.30 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), U ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), U ), Z ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.30 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.89/1.30 , U, V3, V4, T ) ) ],
% 0.89/1.30 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.30 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.89/1.30 V2, V3, V4, T ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.89/1.30 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( U ), V0 ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), T ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.89/1.30 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.89/1.30 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), Y, X ) ],
% 0.89/1.30 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.89/1.30 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.89/1.30 'c_Transitive__Closure_Otrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.30 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.89/1.30 , 'tc_bool' ) ), Z ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.89/1.30 , 'tc_bool' ) ), T ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.30 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T
% 0.89/1.30 , Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.30 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.30 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.89/1.30 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.30 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U
% 0.89/1.30 , Z, X, X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) )
% 0.89/1.30 , 'c_Pair'( Y, U, X, X ) ), T ) ) ), ~( 'c_Relation_Otrans'( T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U
% 0.89/1.30 , Z, X, X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) )
% 0.89/1.30 , 'c_Pair'( Y, U, X, X ) ), T ) ) ), ~( 'c_Relation_Otrans'( T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.30 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.89/1.30 , Z, V2, Y ) ) ],
% 0.89/1.30 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.30 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.89/1.30 , V2, Z, Y ) ) ],
% 0.89/1.30 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 0.89/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Order__Relation_Opreorder__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.89/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.89/1.30 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.89/1.30 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ), X ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 Z, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'c_Collect'( T, X ),
% 0.89/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.89/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.30 T, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_OPow'( X, Y ),
% 0.89/1.30 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.30 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.89/1.30 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.30 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.89/1.30 X, T, U ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.89/1.30 hAPP( X, U ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( X, T ) ) ) ],
% 0.89/1.30 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.89/1.30 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.89/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.89/1.30 ) ), Y ) ],
% 0.89/1.30 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.30 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.89/1.30 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.30 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( T, X ), X, X
% 0.89/1.30 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z
% 0.89/1.30 , X, X ) ), 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( T, X
% 0.89/1.30 , X ), X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.89/1.30 ), 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( T, X, X ), X
% 0.89/1.30 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z
% 0.89/1.30 , X, X ) ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( T, X
% 0.89/1.30 ), X, X ) ) ) ) ],
% 0.89/1.30 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.89/1.30 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.89/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opreorder__on'( X, Y, Z ), ~( 'c_Relation_Otrans'(
% 0.89/1.30 Y, Z ) ), ~( 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.30 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.89/1.30 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.30 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.89/1.30 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.89/1.30 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.89/1.30 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.89/1.30 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.89/1.30 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.89/1.30 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( Z, Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.89/1.30 'c_Collect'( X, Z ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z,
% 0.89/1.30 T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.30 ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.30 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.30 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.89/1.30 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.30 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.89/1.30 , X, Z ) ), T ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.89/1.30 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.89/1.30 , U, Z ) ), T ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.89/1.30 , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.89/1.30 ), X ), Y ) ), =( Y, T ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 0.89/1.30 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( Z, T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.89/1.30 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.89/1.30 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.89/1.30 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'(
% 0.89/1.30 Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.30 ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X,
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.89/1.30 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.89/1.30 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 0.89/1.30 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.30 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.30 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.30 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.89/1.30 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.89/1.30 ), Z ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.89/1.30 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.89/1.30 ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 0.89/1.30 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), T ), Y ) ) ) ],
% 0.89/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.89/1.30 , X ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 0.89/1.30 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.30 ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.89/1.30 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.89/1.30 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.30 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.30 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.89/1.30 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.89/1.30 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.30 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.30 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.89/1.30 ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.89/1.30 ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.89/1.30 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 0.89/1.30 ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 0.89/1.30 , Y ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.89/1.30 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.89/1.30 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.30 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.30 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ), T ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.30 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.30 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ), T ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.30 T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, Z ) ), X ),
% 0.89/1.30 'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.30 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.89/1.30 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.89/1.30 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.89/1.30 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.89/1.30 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( T, X, Y, Z, U ) ), T )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, U ) ), Y ),
% 0.89/1.30 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.30 'tc_fun'( Z, U ) ), X ), 'c_FuncSet_Oextensional'( T, Z, U ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.89/1.30 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.89/1.30 U, X ) ), Y ), 'c_FuncSet_OPi'( W, 'c_COMBK'( T, 'tc_fun'( X, 'tc_bool' )
% 0.89/1.30 , U ), U, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.89/1.30 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.89/1.30 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.89/1.30 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Complete__Lattice_OInf__class_OInf'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.30 , hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( Y, Z, X ) ), Z )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1'( Y, Z, X ) ), Z )
% 0.89/1.30 ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.30 ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.89/1.30 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Y, Z, T, X ) ), Y ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 0.89/1.30 'c_Equiv__Relations_Oquotient'( Y, T, X ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.89/1.30 'c_Set_OPow'( Y, X ) ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opartial__order__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Order__Relation_Opartial__order__on'( X, 'c_Relation_Oconverse'( Y, Z
% 0.89/1.30 , Z ), Z ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opartial__order__on'( X, 'c_Relation_Oconverse'( Y
% 0.89/1.30 , Z, Z ), Z ), ~( 'c_Order__Relation_Opartial__order__on'( X, Y, Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.89/1.30 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.89/1.30 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Olinear__order__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Order__Relation_Olinear__order__on'( X, 'c_Relation_Oconverse'( Y, Z,
% 0.89/1.30 Z ), Z ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Olinear__order__on'( X, 'c_Relation_Oconverse'( Y,
% 0.89/1.30 Z, Z ), Z ), ~( 'c_Order__Relation_Olinear__order__on'( X, Y, Z ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_Relation_Oconverse'(
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.89/1.30 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opreorder__on'( X, 'c_Relation_Oconverse'( Y, Z, Z
% 0.89/1.30 ), Z ), ~( 'c_Order__Relation_Opreorder__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ 'c_Order__Relation_Opreorder__on'( X, Y, Z ), ~(
% 0.89/1.30 'c_Order__Relation_Opreorder__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ),
% 0.89/1.30 Z ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.89/1.30 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.30 Y, Y ) ) ],
% 0.89/1.30 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.89/1.30 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.89/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.89/1.30 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.89/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.89/1.30 'c_Relation_OId__on'( X, Y ) ) ],
% 0.89/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.89/1.30 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.89/1.30 , Y ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.89/1.30 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.89/1.30 'c_Relation_OId'( X ) ) ],
% 0.89/1.30 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.89/1.30 'c_Relation_Otrans'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.89/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.89/1.30 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.89/1.30 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.89/1.30 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.89/1.30 Y ) ],
% 0.89/1.30 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.89/1.30 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.89/1.30 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.89/1.30 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.89/1.30 [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ),
% 0.89/1.30 'c_Relation_OField'( X, Y ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Oconverse'(
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.89/1.30 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.89/1.30 'tc_bool' ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( 'c_Relation_Oconverse'( X, Y, Z ), 'tc_prod'(
% 0.89/1.30 Z, Y ) ), ~( 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Z ) ) ) ],
% 0.89/1.30 [ 'c_Finite__Set_Ofinite'( X, 'tc_prod'( Y, Z ) ), ~(
% 0.89/1.30 'c_Finite__Set_Ofinite'( 'c_Relation_Oconverse'( X, Y, Z ), 'tc_prod'( Z
% 0.89/1.30 , Y ) ) ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.89/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.30 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.89/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~(
% 0.89/1.30 hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), W ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_fun'( U, X ) ), Y ), 'c_FuncSet_OPi'( W, T, U, X ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( T ), hAPP( U, Y ) ), hAPP( W, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_fun'( X, T ) ), U ), 'c_FuncSet_OPi'( Z, W, X, T ) ) ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( T, 'tc_fun'( X
% 0.89/1.30 , 'tc_bool' ) ) ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.89/1.30 'c_Complete__Lattice_OSup__class_OSup'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.89/1.30 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.30 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.89/1.30 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.30 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.30 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.30 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.30 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.30 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.30 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.89/1.30 X ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.30 'tc_bool' ) ), 'v_L' ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ), ~( hBOOL(
% 0.89/1.30 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.30 'tc_bool' ) ), 'c_Relation_Oconverse'( 'v_L',
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.30 , 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.30 'tc_bool' ) ), 'c_Relation_Oconverse'( 'v_L',
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.30 , 'c_Arrow__Order__Mirabelle_OLin' ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.89/1.30 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_L' ),
% 0.89/1.30 'c_Arrow__Order__Mirabelle_OLin' ) ) ],
% 0.89/1.30 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 0.89/1.30 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.89/1.30 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.89/1.30 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.89/1.30 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.89/1.30 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.30 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.89/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.30 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.89/1.30 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.30 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.89/1.30 ] .
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 percentage equality = 0.295918, percentage horn = 0.929360
% 0.89/1.30 This is a problem with some equality
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 Options Used:
% 0.89/1.30
% 0.89/1.30 useres = 1
% 0.89/1.30 useparamod = 1
% 0.89/1.30 useeqrefl = 1
% 0.89/1.30 useeqfact = 1
% 0.89/1.30 usefactor = 1
% 0.89/1.30 usesimpsplitting = 0
% 0.89/1.30 usesimpdemod = 5
% 0.89/1.30 usesimpres = 3
% 0.89/1.30
% 0.89/1.30 resimpinuse = 1000
% 0.89/1.30 resimpclauses = 20000
% 0.89/1.30 substype = eqrewr
% 0.89/1.30 backwardsubs = 1
% 0.89/1.30 selectoldest = 5
% 0.89/1.30
% 0.89/1.30 litorderings [0] = split
% 0.89/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.30
% 0.89/1.30 termordering = kbo
% 0.89/1.30
% 0.89/1.30 litapriori = 0
% 0.89/1.30 termapriori = 1
% 0.89/1.30 litaposteriori = 0
% 0.89/1.30 termaposteriori = 0
% 0.89/1.30 demodaposteriori = 0
% 0.89/1.30 ordereqreflfact = 0
% 0.89/1.30
% 0.89/1.30 litselect = negord
% 0.89/1.30
% 0.89/1.30 maxweight = 15
% 0.89/1.30 maxdepth = 30000
% 0.89/1.30 maxlength = 115
% 0.89/1.30 maxnrvars = 195
% 0.89/1.30 excuselevel = 1
% 0.89/1.30 increasemaxweight = 1
% 0.89/1.30
% 0.89/1.30 maxselected = 10000000
% 0.89/1.30 maxnrclauses = 10000000
% 0.89/1.30
% 0.89/1.30 showgenerated = 0
% 0.89/1.30 showkept = 0
% 0.89/1.30 showselected = 0
% 0.89/1.30 showdeleted = 0
% 0.89/1.30 showresimp = 1
% 0.89/1.30 showstatus = 2000
% 0.89/1.30
% 0.89/1.30 prologoutput = 1
% 0.89/1.30 nrgoals = 5000000
% 0.89/1.30 totalproof = 1
% 0.89/1.30
% 0.89/1.30 Symbols occurring in the translation:
% 0.89/1.30
% 0.89/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.30 . [1, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.89/1.30 ! [4, 1] (w:0, o:69, a:1, s:1, b:0),
% 0.89/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.84/6.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.84/6.21 'c_in' [40, 1] (w:1, o:74, a:1, s:1, b:0),
% 5.84/6.21 hAPP [42, 2] (w:1, o:113, a:1, s:1, b:0),
% 5.84/6.21 'c_Relation_OImage' [46, 4] (w:1, o:151, a:1, s:1, b:0),
% 5.84/6.21 hBOOL [47, 1] (w:1, o:75, a:1, s:1, b:0),
% 5.84/6.21 'tc_prod' [48, 2] (w:1, o:114, a:1, s:1, b:0),
% 5.84/6.21 'c_Pair' [50, 4] (w:1, o:152, a:1, s:1, b:0),
% 5.84/6.21 'c_Relation_OId' [52, 1] (w:1, o:76, a:1, s:1, b:0),
% 5.84/6.21 'tc_bool' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.84/6.21 'tc_fun' [56, 2] (w:1, o:115, a:1, s:1, b:0),
% 5.84/6.21 'c_Lattices_Oupper__semilattice__class_Osup' [57, 3] (w:1, o:129, a:1
% 5.84/6.21 , s:1, b:0),
% 5.84/6.21 'c_Orderings_Obot__class_Obot' [59, 1] (w:1, o:77, a:1, s:1, b:0),
% 5.84/6.21 'c_Relation_Orel__comp' [60, 5] (w:1, o:164, a:1, s:1, b:0),
% 5.84/6.21 'c_Relation_Oantisym' [61, 2] (w:1, o:116, a:1, s:1, b:0),
% 5.84/6.21 'c_Transitive__Closure_Otrancl' [62, 2] (w:1, o:118, a:1, s:1, b:0),
% 5.84/6.21
% 5.84/6.21 'c_Relation_OField' [63, 2] (w:1, o:119, a:1, s:1, b:0),
% 5.84/6.21 'c_Relation_Orefl__on' [65, 3] (w:1, o:130, a:1, s:1, b:0),
% 5.84/6.21 'c_Transitive__Closure_Ortrancl' [66, 2] (w:1, o:120, a:1, s:1, b:0)
% 5.84/6.21 ,
% 5.84/6.21 'c_Relation_OId__on' [68, 2] (w:1, o:121, a:1, s:1, b:0),
% 5.84/6.21 'c_Order__Relation_Opartial__order__on' [69, 3] (w:1, o:131, a:1, s:1
% 5.84/6.21 , b:0),
% 5.84/6.21 'c_Order__Relation_Opreorder__on' [70, 3] (w:1, o:132, a:1, s:1, b:0)
% 5.84/6.21 ,
% 5.84/6.21 'c_Lattices_Olower__semilattice__class_Oinf' [71, 3] (w:1, o:133, a:1
% 5.84/6.21 , s:1, b:0),
% 5.84/6.21 'c_Order__Relation_Olinear__order__on' [72, 3] (w:1, o:134, a:1, s:1
% 5.84/6.21 , b:0),
% 5.84/6.21 'c_Set_Oinsert' [73, 3] (w:1, o:137, a:1, s:1, b:0),
% 5.84/6.21 'c_Equiv__Relations_Oquotient' [74, 3] (w:1, o:138, a:1, s:1, b:0),
% 5.84/6.21 'c_Finite__Set_Ofinite' [75, 2] (w:1, o:122, a:1, s:1, b:0),
% 5.84/6.21 'c_HOL_Ominus__class_Ominus' [76, 3] (w:1, o:139, a:1, s:1, b:0),
% 5.84/6.21 'class_Lattices_Odistrib__lattice' [77, 1] (w:1, o:78, a:1, s:1, b:0)
% 5.84/6.21 ,
% 5.84/6.21 'c_Collect' [81, 2] (w:1, o:123, a:1, s:1, b:0),
% 5.84/6.21 'c_Relation_Ototal__on' [82, 3] (w:1, o:135, a:1, s:1, b:0),
% 5.84/6.21 'class_Lattices_Oupper__semilattice' [83, 1] (w:1, o:79, a:1, s:1, b:
% 5.84/6.21 0),
% 5.84/6.21 'c_Relation_Otrans' [84, 2] (w:1, o:125, a:1, s:1, b:0),
% 5.84/6.21 'c_Fun_Oinj__on' [86, 4] (w:1, o:153, a:1, s:1, b:0),
% 5.84/6.21 'c_Set_Oimage' [87, 4] (w:1, o:155, a:1, s:1, b:0),
% 5.84/6.21 'c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1' [88, 3] (w:1
% 5.84/6.21 , o:140, a:1, s:1, b:0),
% 5.84/6.21 'c_Complete__Lattice_OSup__class_OSup' [89, 2] (w:1, o:126, a:1, s:1
% 5.84/6.21 , b:0),
% 5.84/6.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [91, 4] (w:1
% 5.84/6.21 , o:156, a:1, s:1, b:0),
% 5.84/6.21 'c_COMBC' [92, 4] (w:1, o:157, a:1, s:1, b:0),
% 5.84/6.21 'c_COMBK' [94, 3] (w:1, o:141, a:1, s:1, b:0),
% 5.84/6.21 'class_OrderedGroup_Oab__group__add' [95, 1] (w:1, o:80, a:1, s:1, b:
% 5.84/6.21 0),
% 5.84/6.21 'class_Lattices_Olattice' [98, 1] (w:1, o:81, a:1, s:1, b:0),
% 5.84/6.21 'class_Lattices_Olower__semilattice' [99, 1] (w:1, o:82, a:1, s:1, b:
% 5.84/6.21 0),
% 5.84/6.21 'c_Complete__Lattice_Ocomplete__lattice' [108, 9] (w:1, o:170, a:1
% 5.84/6.21 , s:1, b:0),
% 5.84/6.21 'c_Relation_Osym' [109, 2] (w:1, o:124, a:1, s:1, b:0),
% 5.84/6.21 'c_Relation_Oconverse' [110, 3] (w:1, o:136, a:1, s:1, b:0),
% 5.84/6.21 'c_List_Osko__Equiv__Relations__XquotientE__1__1' [112, 4] (w:1, o:
% 5.84/6.21 158, a:1, s:1, b:0),
% 5.84/6.21 'c_Complete__Lattice_OInf__class_OInf' [113, 2] (w:1, o:127, a:1, s:1
% 5.84/6.21 , b:0),
% 5.84/6.21 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1' [114, 3] (w:1
% 5.84/6.21 , o:142, a:1, s:1, b:0),
% 5.84/6.21 'c_Relation_Oinv__image' [116, 4] (w:1, o:154, a:1, s:1, b:0),
% 5.84/6.21 'class_Complete__Lattice_Ocomplete__lattice' [117, 1] (w:1, o:83, a:1
% 5.84/6.21 , s:1, b:0),
% 5.84/6.21 'c_Set_Ovimage' [118, 4] (w:1, o:159, a:1, s:1, b:0),
% 5.84/6.21 'class_Lattices_Obounded__lattice' [123, 1] (w:1, o:84, a:1, s:1, b:0
% 5.84/6.21 ),
% 5.84/6.21 'c_Wellfounded_Oacyclic' [124, 2] (w:1, o:128, a:1, s:1, b:0),
% 5.84/6.21 'c_Set_OPow' [130, 2] (w:1, o:117, a:1, s:1, b:0),
% 5.84/6.21 'c_fequal' [131, 1] (w:1, o:85, a:1, s:1, b:0),
% 5.84/6.21 'class_Finite__Set_Ofinite_Ofinite' [132, 1] (w:1, o:86, a:1, s:1, b:
% 5.84/6.21 0),
% 5.84/6.21 'c_SetInterval_Oord_OatLeastLessThan' [136, 5] (w:1, o:165, a:1, s:1
% 5.84/6.21 , b:0),
% 5.84/6.21 'c_SetInterval_Oord_OatLeastAtMost' [137, 4] (w:1, o:160, a:1, s:1
% 48.85/49.22 , b:0),
% 48.85/49.22 'c_ATP__Linkup_Osko__Set__XbexI__1__1' [138, 3] (w:1, o:143, a:1, s:1
% 48.85/49.22 , b:0),
% 48.85/49.22 'c_ATP__Linkup_Osko__Set__XbexE__1__1' [139, 3] (w:1, o:144, a:1, s:1
% 48.85/49.22 , b:0),
% 48.85/49.22 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1' [141,
% 48.85/49.22 4] (w:1, o:161, a:1, s:1, b:0),
% 48.85/49.22 'c_ATP__Linkup_Osko__Set__XballE__1__1' [143, 3] (w:1, o:145, a:1, s:
% 48.85/49.22 1, b:0),
% 48.85/49.22 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1' [145, 5] (w:1, o:
% 48.85/49.22 166, a:1, s:1, b:0),
% 48.85/49.22 'c_FuncSet_Oextensional' [146, 3] (w:1, o:146, a:1, s:1, b:0),
% 48.85/49.22 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [150, 4] (w:1, o:162, a:1
% 48.85/49.22 , s:1, b:0),
% 48.85/49.22 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3' [151, 5] (w:1
% 48.85/49.22 , o:167, a:1, s:1, b:0),
% 48.85/49.22 'c_SetInterval_Oord_OatMost' [154, 3] (w:1, o:147, a:1, s:1, b:0),
% 48.85/49.22 'c_SetInterval_Oord_OgreaterThan' [157, 3] (w:1, o:148, a:1, s:1, b:0
% 48.85/49.22 ),
% 48.85/49.22 'c_SetInterval_Oord_OlessThan' [158, 3] (w:1, o:149, a:1, s:1, b:0),
% 48.85/49.22
% 48.85/49.22 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1' [159, 3] (w:1, o:150, a:1
% 48.85/49.22 , s:1, b:0),
% 48.85/49.22 'c_FuncSet_OPi' [160, 4] (w:1, o:163, a:1, s:1, b:0),
% 48.85/49.22 'c_FuncSet_Osko__FuncSet__XPi__I__1__1' [161, 5] (w:1, o:168, a:1, s:
% 48.85/49.22 1, b:0),
% 48.85/49.22 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1' [162, 5] (w:1, o:169, a:1
% 48.85/49.22 , s:1, b:0),
% 48.85/49.22 'c_HOL_Oundefined' [163, 1] (w:1, o:87, a:1, s:1, b:0),
% 48.85/49.22 'tc_Arrow__Order__Mirabelle_Oalt' [164, 0] (w:1, o:63, a:1, s:1, b:0)
% 48.85/49.22 ,
% 48.85/49.22 'c_Arrow__Order__Mirabelle_OLin' [166, 0] (w:1, o:64, a:1, s:1, b:0)
% 48.85/49.22 ,
% 48.85/49.22 'v_L' [167, 0] (w:1, o:65, a:1, s:1, b:0).
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Starting Search:
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 2919
% 48.85/49.22 Kept: 2003
% 48.85/49.22 Inuse: 166
% 48.85/49.22 Deleted: 8
% 48.85/49.22 Deletedinuse: 2
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 8414
% 48.85/49.22 Kept: 4071
% 48.85/49.22 Inuse: 203
% 48.85/49.22 Deleted: 9
% 48.85/49.22 Deletedinuse: 3
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 14937
% 48.85/49.22 Kept: 6077
% 48.85/49.22 Inuse: 253
% 48.85/49.22 Deleted: 12
% 48.85/49.22 Deletedinuse: 3
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 20413
% 48.85/49.22 Kept: 8159
% 48.85/49.22 Inuse: 324
% 48.85/49.22 Deleted: 19
% 48.85/49.22 Deletedinuse: 3
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 25447
% 48.85/49.22 Kept: 10187
% 48.85/49.22 Inuse: 368
% 48.85/49.22 Deleted: 20
% 48.85/49.22 Deletedinuse: 3
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 39473
% 48.85/49.22 Kept: 12960
% 48.85/49.22 Inuse: 454
% 48.85/49.22 Deleted: 26
% 48.85/49.22 Deletedinuse: 4
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 49567
% 48.85/49.22 Kept: 14983
% 48.85/49.22 Inuse: 476
% 48.85/49.22 Deleted: 27
% 48.85/49.22 Deletedinuse: 5
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 57632
% 48.85/49.22 Kept: 17021
% 48.85/49.22 Inuse: 511
% 48.85/49.22 Deleted: 32
% 48.85/49.22 Deletedinuse: 7
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 65483
% 48.85/49.22 Kept: 19051
% 48.85/49.22 Inuse: 568
% 48.85/49.22 Deleted: 35
% 48.85/49.22 Deletedinuse: 8
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying clauses:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 71211
% 48.85/49.22 Kept: 21112
% 48.85/49.22 Inuse: 585
% 48.85/49.22 Deleted: 906
% 48.85/49.22 Deletedinuse: 8
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 79968
% 48.85/49.22 Kept: 23153
% 48.85/49.22 Inuse: 628
% 48.85/49.22 Deleted: 907
% 48.85/49.22 Deletedinuse: 9
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 87883
% 48.85/49.22 Kept: 25222
% 48.85/49.22 Inuse: 660
% 48.85/49.22 Deleted: 907
% 48.85/49.22 Deletedinuse: 9
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 96092
% 48.85/49.22 Kept: 27490
% 48.85/49.22 Inuse: 678
% 48.85/49.22 Deleted: 907
% 48.85/49.22 Deletedinuse: 9
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 103315
% 48.85/49.22 Kept: 29546
% 48.85/49.22 Inuse: 693
% 48.85/49.22 Deleted: 907
% 48.85/49.22 Deletedinuse: 9
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22 Resimplifying inuse:
% 48.85/49.22 Done
% 48.85/49.22
% 48.85/49.22
% 48.85/49.22 Intermediate Status:
% 48.85/49.22 Generated: 114301
% 260.58/261.00 Kept: 31940
% 260.58/261.00 Inuse: 718
% 260.58/261.00 Deleted: 908
% 260.58/261.00 Deletedinuse: 10
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 125310
% 260.58/261.00 Kept: 34173
% 260.58/261.00 Inuse: 777
% 260.58/261.00 Deleted: 908
% 260.58/261.00 Deletedinuse: 10
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 132641
% 260.58/261.00 Kept: 36213
% 260.58/261.00 Inuse: 795
% 260.58/261.00 Deleted: 908
% 260.58/261.00 Deletedinuse: 10
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 142004
% 260.58/261.00 Kept: 38226
% 260.58/261.00 Inuse: 815
% 260.58/261.00 Deleted: 908
% 260.58/261.00 Deletedinuse: 10
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 151463
% 260.58/261.00 Kept: 40310
% 260.58/261.00 Inuse: 868
% 260.58/261.00 Deleted: 909
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00 Resimplifying clauses:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 169812
% 260.58/261.00 Kept: 43863
% 260.58/261.00 Inuse: 928
% 260.58/261.00 Deleted: 1047
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 175538
% 260.58/261.00 Kept: 45874
% 260.58/261.00 Inuse: 940
% 260.58/261.00 Deleted: 1047
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 181517
% 260.58/261.00 Kept: 48130
% 260.58/261.00 Inuse: 950
% 260.58/261.00 Deleted: 1047
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 187462
% 260.58/261.00 Kept: 50153
% 260.58/261.00 Inuse: 961
% 260.58/261.00 Deleted: 1047
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 194532
% 260.58/261.00 Kept: 52386
% 260.58/261.00 Inuse: 971
% 260.58/261.00 Deleted: 1047
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 200223
% 260.58/261.00 Kept: 54430
% 260.58/261.00 Inuse: 980
% 260.58/261.00 Deleted: 1047
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 215586
% 260.58/261.00 Kept: 56983
% 260.58/261.00 Inuse: 983
% 260.58/261.00 Deleted: 1047
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 227566
% 260.58/261.00 Kept: 59682
% 260.58/261.00 Inuse: 988
% 260.58/261.00 Deleted: 1047
% 260.58/261.00 Deletedinuse: 11
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying clauses:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 246375
% 260.58/261.00 Kept: 63376
% 260.58/261.00 Inuse: 1006
% 260.58/261.00 Deleted: 1157
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 254679
% 260.58/261.00 Kept: 65462
% 260.58/261.00 Inuse: 1018
% 260.58/261.00 Deleted: 1157
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 271062
% 260.58/261.00 Kept: 67982
% 260.58/261.00 Inuse: 1026
% 260.58/261.00 Deleted: 1157
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 277952
% 260.58/261.00 Kept: 69985
% 260.58/261.00 Inuse: 1034
% 260.58/261.00 Deleted: 1157
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 286094
% 260.58/261.00 Kept: 72360
% 260.58/261.00 Inuse: 1043
% 260.58/261.00 Deleted: 1157
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 293321
% 260.58/261.00 Kept: 74447
% 260.58/261.00 Inuse: 1050
% 260.58/261.00 Deleted: 1157
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 300557
% 260.58/261.00 Kept: 76874
% 260.58/261.00 Inuse: 1058
% 260.58/261.00 Deleted: 1157
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 309876
% 260.58/261.00 Kept: 79005
% 260.58/261.00 Inuse: 1066
% 260.58/261.00 Deleted: 1157
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying clauses:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 317507
% 260.58/261.00 Kept: 81162
% 260.58/261.00 Inuse: 1073
% 260.58/261.00 Deleted: 1166
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 323626
% 260.58/261.00 Kept: 83373
% 260.58/261.00 Inuse: 1078
% 260.58/261.00 Deleted: 1166
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 333344
% 260.58/261.00 Kept: 85855
% 260.58/261.00 Inuse: 1088
% 260.58/261.00 Deleted: 1166
% 260.58/261.00 Deletedinuse: 15
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00 Resimplifying inuse:
% 260.58/261.00 Done
% 260.58/261.00
% 260.58/261.00
% 260.58/261.00 Intermediate Status:
% 260.58/261.00 Generated: 341310
% 260.58/261.00 Kept: 88111
% 260.58/261.00 Inuse: 10Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------