TSTP Solution File: SCT045-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT045-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 21:00:47 EDT 2022
% Result : Timeout 300.05s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT045-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 09:06:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.93/1.34 *** allocated 10000 integers for termspace/termends
% 0.93/1.34 *** allocated 10000 integers for clauses
% 0.93/1.34 *** allocated 10000 integers for justifications
% 0.93/1.34 *** allocated 15000 integers for termspace/termends
% 0.93/1.34 *** allocated 22500 integers for termspace/termends
% 0.93/1.34 Bliksem 1.12
% 0.93/1.34
% 0.93/1.34
% 0.93/1.34 Automatic Strategy Selection
% 0.93/1.34
% 0.93/1.34 Clauses:
% 0.93/1.34 [
% 0.93/1.34 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.93/1.34 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.93/1.34 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.34 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.34 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.34 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.34 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.34 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.34 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.93/1.34 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.93/1.34 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.93/1.34 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.93/1.34 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.93/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.93/1.34 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.93/1.34 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.93/1.34 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.93/1.34 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.93/1.34 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.93/1.34 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ), Y ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.34 ) ) ), Y ), Y ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.93/1.34 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.93/1.34 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.93/1.34 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.93/1.34 ), =( Y, W ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Relation_OImage'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.34 , 'c_Relation_OImage'( X, Z, Y, U ) ), 'c_Relation_OImage'( X, T, Y, U )
% 0.93/1.34 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), X ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.34 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.93/1.34 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.93/1.34 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.34 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.93/1.34 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.93/1.34 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.34 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.34 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ),
% 0.93/1.34 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ), T ), X ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Z ), T ), X ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.34 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.34 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T, U, X, W, V0 ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofold__graph'( Z, T, U, Y, W, V0 ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofun__left__comm'( Z, W, V0 ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.93/1.34 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.93/1.34 , U ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.93/1.34 , X, U, Y, W ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.93/1.34 [ =( 'c_Relation_OImage'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.34 , 'c_Relation_OImage'( X, Z, Y, U ) ), 'c_Relation_OImage'( X, T, Y, U )
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.34 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.34 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.93/1.34 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.93/1.34 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.34 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.34 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.93/1.34 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.93/1.34 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.93/1.34 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.93/1.34 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.93/1.34 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.34 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.34 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.93/1.34 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.93/1.34 U, 'tc_bool' ) ) ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.93/1.34 , Y ) ],
% 0.93/1.34 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.93/1.34 , Y ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.93/1.34 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.93/1.34 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.93/1.34 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.93/1.34 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.93/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.34 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.93/1.34 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.34 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.93/1.34 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.93/1.34 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.93/1.34 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.93/1.34 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.93/1.34 U, V0 ) ), hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.93/1.34 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.93/1.34 hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.93/1.34 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.93/1.34 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.93/1.34 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.93/1.34 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.93/1.34 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.93/1.34 hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.93/1.34 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 0.93/1.34 , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.93/1.34 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.93/1.34 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.93/1.34 , U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( X, Y ),
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.93/1.34 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.93/1.34 'c_in'( T ), Y ), Z ) ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP(
% 0.93/1.34 'c_in'( T ), Y ), U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, T, 'tc_fun'(
% 0.93/1.34 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.93/1.34 hAPP( hAPP( 'c_in'( U ), Y ), W ) ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( W, X, U, 'tc_fun'(
% 0.93/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.34 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U )
% 0.93/1.34 , Z ), T ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.34 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 0.93/1.34 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 0.93/1.34 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), Z ) ), Y ) ) ],
% 0.93/1.34 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.93/1.34 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.93/1.34 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.93/1.34 Z, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ),
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 0.93/1.34 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.34 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.34 , hAPP( T, X ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.34 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.34 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 0.93/1.34 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.93/1.34 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 0.93/1.34 'c_COMBB'( Y, Z, 'tc_fun'( T, 'tc_bool' ), U ), W ), U, 'tc_fun'( T,
% 0.93/1.34 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.34 'c_Set_Oimage'( W, X, U, Z ), Y, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.34 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 0.93/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, hAPP( 'c_COMBB'(
% 0.93/1.34 U, T, 'tc_fun'( W, 'tc_bool' ), Z ), X ), Z, 'tc_fun'( W, 'tc_bool' ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.34 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.93/1.34 , 'tc_bool' ) ), Z ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.34 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.93/1.34 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.93/1.34 , 'tc_bool' ) ), T ) ) ],
% 0.93/1.34 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.93/1.34 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.34 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.93/1.34 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.93/1.34 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.93/1.34 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.34 ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.93/1.34 , 'tc_bool' ) ) ],
% 0.93/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.34 ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 0.93/1.34 'tc_bool' ) ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( 'c_Collect'( hAPP( 'c_COMBB'( 'c_Not', 'tc_bool', 'tc_bool', X ), Y
% 0.93/1.34 ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , 'c_Collect'( Y, X ) ) ) ],
% 0.93/1.34 [ =( 'c_Set_Ovimage'( X, 'c_Collect'( Y, Z ), T, Z ), 'c_Collect'( hAPP(
% 0.93/1.34 'c_COMBB'( Y, Z, 'tc_bool', T ), X ), T ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 0.93/1.34 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 0.93/1.34 ) ],
% 0.93/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) )
% 0.93/1.34 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) )
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.93/1.34 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ) ), Z ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.34 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.93/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), T ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.93/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.34 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.93/1.34 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.93/1.34 X ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.93/1.34 X ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.93/1.34 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.93/1.34 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.93/1.34 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.34 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.34 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.34 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.93/1.34 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.93/1.34 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.93/1.34 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.93/1.34 , 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.98/1.34 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.98/1.34 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.98/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.98/1.34 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.98/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.98/1.34 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.34 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.98/1.34 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.98/1.34 Y, X ) ],
% 0.98/1.34 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.98/1.34 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.98/1.34 ],
% 0.98/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.98/1.34 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.98/1.34 , Z ) ) ],
% 0.98/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.34 , U ), Y ), Z, T ) ) ],
% 0.98/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.34 , Y ), U ), Z, T ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.98/1.34 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.98/1.34 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.34 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.98/1.34 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.98/1.34 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.98/1.34 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 0.98/1.34 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.98/1.34 ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 0.98/1.34 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.98/1.34 ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 0.98/1.34 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.98/1.34 ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 0.98/1.34 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.98/1.34 ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.98/1.34 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , T ), Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.98/1.34 X ), U ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, T, X ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ) ) ), ~( hBOOL( hAPP( T, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.98/1.34 X ), U ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.98/1.34 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.98/1.34 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.98/1.34 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y,
% 0.98/1.34 'c_Set_Oinsert'( Z, T, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.98/1.34 , Y ), U ), X, X ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T ) ), ~(
% 0.98/1.34 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Z, T, U
% 0.98/1.34 , X, X ) ) ],
% 0.98/1.34 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Oimage'( X, W, T, U ) ) ), ~(
% 0.98/1.34 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.34 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ),
% 0.98/1.34 Z ) ), Y ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.98/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.98/1.34 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.34 X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.98/1.34 hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 0.98/1.34 ), Y ), Z ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 0.98/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__reindex__cong__1__1'( Z, T, Y
% 0.98/1.34 , U, W, V0, X ) ), hAPP( U, hAPP( T,
% 0.98/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__reindex__cong__1__1'( Z, T, Y
% 0.98/1.34 , U, W, V0, X ) ) ) ) ), ~( 'c_Fun_Oinj__on'( T, Z, W, V0 ) ), =(
% 0.98/1.34 'c_Finite__Set_Osetsum'( U, 'c_Set_Oimage'( T, Z, W, V0 ), V0, X ),
% 0.98/1.34 'c_Finite__Set_Osetsum'( Y, Z, W, X ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.98/1.34 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.98/1.34 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.98/1.34 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.98/1.34 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.98/1.34 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.98/1.34 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.98/1.34 , 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), U, T ) ), 'c_Set_Ovimage'( X, Z, U, T )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ), 'c_lessequals'( Y, hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ) ],
% 0.98/1.34 [ ~( 'c_Finite__Set_Ofold__graph'( X, Y, Z, T, U, W ) ), hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( U ), V0 ), Z ) ), ~( 'c_Finite__Set_Ofun__left__comm'( X, U
% 0.98/1.34 , W ) ), 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( V0, Z, U )
% 0.98/1.34 , hAPP( hAPP( X, V0 ), T ), U, W ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), hAPP(
% 0.98/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), T ), 'c_Collect'( X, Z ) ) ) ) ) ],
% 0.98/1.34 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.98/1.34 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.98/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.98/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.98/1.34 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), T ) ) ) ],
% 0.98/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.98/1.34 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.98/1.34 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Finite__Set_Ofun__left__comm'( X, U, W
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) ), hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( Z ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.98/1.34 Y, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Y ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X
% 0.98/1.34 , 'tc_bool' ) ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), Y ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.98/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.98/1.34 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Typedef_Otype__definition'(
% 0.98/1.34 X, T, U, W, V0 ) ), =( Y, Z ) ],
% 0.98/1.34 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z,
% 0.98/1.34 'c_Set_Oinsert'( hAPP( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ), T ), X, T ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.98/1.34 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ), X ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.98/1.34 X, T ), Y ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), X )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.34 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.98/1.34 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.98/1.34 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.98/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.98/1.34 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.98/1.34 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.98/1.34 , X ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ) ) ],
% 0.98/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.98/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( T, 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1'( X, Y, T
% 0.98/1.34 ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 0.98/1.34 'c_Arrow__Order__Mirabelle_Ounanimity'( Z ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.34 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.98/1.34 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.98/1.34 Y, T ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), T ), Z ) ) ), ~(
% 0.98/1.34 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.98/1.34 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.98/1.34 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.34 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( U ), T ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U )
% 0.98/1.34 ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( Z, U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T,
% 0.98/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ) ) ), hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( U, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) )
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 0.98/1.34 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 0.98/1.34 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( Z, U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U,
% 0.98/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ) ) ), hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( T, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) )
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 0.98/1.34 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 0.98/1.34 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T,
% 0.98/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ) ) ) ), ~(
% 0.98/1.34 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( U, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) )
% 0.98/1.34 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 0.98/1.34 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 0.98/1.34 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( Z, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U,
% 0.98/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ) ) ) ), ~(
% 0.98/1.34 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.98/1.34 , hAPP( T, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) )
% 0.98/1.34 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.98/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 0.98/1.34 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~(
% 0.98/1.34 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.98/1.34 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( Y,
% 0.98/1.34 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 0.98/1.34 , Y ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.98/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.98/1.34 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.98/1.34 ), =( X, Y ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.98/1.34 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.98/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.98/1.34 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ), U, X ) ) ],
% 0.98/1.34 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.98/1.34 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 0.98/1.34 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 0.98/1.34 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ), U, X ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.98/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.98/1.34 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( T ), Y ), W ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.34 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.98/1.34 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.98/1.34 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( hAPP( hAPP( 'c_in'( U ),
% 0.98/1.34 T ), Z ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.98/1.34 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Y,
% 0.98/1.34 'c_Set_Oinsert'( Z, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), X ), U, X, X ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.98/1.34 'c_Finite__Set_Ofold__graph'( 'c_HOL_Otimes__class_Otimes'( X ), Z, T, U
% 0.98/1.34 , X, X ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.98/1.34 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 0.98/1.34 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.98/1.34 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.98/1.34 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, T ) ), X ),
% 0.98/1.34 'c_FuncSet_OPi'( Y, 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ) )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.98/1.34 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( X ), 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T, U, Z, X
% 0.98/1.34 , Y ) ), T ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.98/1.34 , 'c_COMBK'( U, 'tc_fun'( Y, 'tc_bool' ), X ), X, Y ) ) ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( Y ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1'( T
% 0.98/1.34 , U, Z, X, Y ) ) ), U ) ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.98/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Collect'( hAPP( 'c_COMBC'( hAPP(
% 0.98/1.34 'c_COMBB'( 'c_in'( T ), T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_bool'
% 0.98/1.34 ), Z ), X ), Z, 'tc_fun'( T, 'tc_bool' ), 'tc_bool' ), Y ), Z ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.98/1.34 ), 'c_Collect'( hAPP( 'c_COMBB'( 'c_Not', 'tc_bool', 'tc_bool', X ),
% 0.98/1.34 hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ), 'tc_bool' ), Y
% 0.98/1.34 ) ), X ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( 'c_Fun_Oinj__on'(
% 0.98/1.34 Y, Z, T, U ) ), =( 'c_Finite__Set_Osetsum'( W, 'c_Set_Oimage'( Y, Z, T, U
% 0.98/1.34 ), U, X ), 'c_Finite__Set_Osetsum'( V0, Z, T, X ) ), hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( T ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__reindex__cong__1__1'( Z, Y, V0
% 0.98/1.34 , W, T, U, X ) ), Z ) ) ],
% 0.98/1.34 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.98/1.34 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.98/1.34 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.98/1.34 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( Z ), Y ), X ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z
% 0.98/1.34 ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ), ~( 'c_lessequals'(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.34 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 0.98/1.34 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.98/1.34 T ), Z ), Y ) ) ],
% 0.98/1.34 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.98/1.34 ), ~( hBOOL( hAPP( hAPP( 'c_in'( W ), T ), Z ) ) ), ~(
% 0.98/1.34 'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.98/1.34 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.98/1.34 'c_Finite__Set_Ofun__left__comm'( 'c_HOL_Otimes__class_Otimes'( X ), X, X
% 0.98/1.34 ) ],
% 0.98/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( U ), hAPP( X, Y ) ), 'c_Set_Oimage'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.98/1.34 T, 'tc_bool' ) ), T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.98/1.34 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.34 , T, X ) ) ), =( Y, Z ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.34 , T, X ) ) ), =( Z, T ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.34 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.98/1.34 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.98/1.34 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 0.98/1.34 , X ) ), 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBB'( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X, U ), Z ), T, U, X ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ) ), Y, Z ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.98/1.34 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.98/1.34 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.98/1.34 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.98/1.34 ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.98/1.34 Y, Z ) ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.98/1.34 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.98/1.34 [ ~( =( hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X
% 0.98/1.34 , Y ) ), hAPP( 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y
% 0.98/1.34 ), Y ) ) ), 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.98/1.34 ) ],
% 0.98/1.34 [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.98/1.34 Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 0.98/1.34 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.98/1.34 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.98/1.34 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.98/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.98/1.34 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.98/1.34 'tc_bool' ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.98/1.34 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.98/1.34 ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ],
% 0.98/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.98/1.34 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.98/1.34 ) ), Z, X ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.34 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.34 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), 'c_Collect'( T, X ) ) ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.98/1.34 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Z,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.98/1.34 U, 'tc_bool' ) ), U, X ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oinsert'(
% 0.98/1.34 Z, T, U ), U, X ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.98/1.34 Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.98/1.34 , X ), Z ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.98/1.34 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.34 , T ), X ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.98/1.34 , X ), T ), Y ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.34 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), X, X, Y ), Z ), T, Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 0.98/1.34 , 'c_Finite__Set_Osetsum'( Z, T, Y, X ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ),
% 0.98/1.34 'c_Finite__Set_Ofun__left__comm__idem'( 'c_HOL_Otimes__class_Otimes'( X )
% 0.98/1.34 , X, X ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.98/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( Z ), X ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 0.98/1.34 [ =( 'c_Fun_Ooverride__on'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), X ) ],
% 0.98/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 0.98/1.34 Y ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ), Y ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ), Y ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ), Y ) ],
% 0.98/1.34 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 0.98/1.34 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.98/1.34 X ) ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.98/1.34 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.98/1.34 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.98/1.34 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.98/1.34 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.98/1.34 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.98/1.34 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.98/1.34 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.98/1.34 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, U )
% 0.98/1.34 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.34 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.98/1.34 , Z ) ), T ) ), ~( hBOOL( hAPP( U,
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.98/1.34 , Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.34 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.98/1.34 , Z ) ), T ) ), ~( hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.98/1.34 , Z ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.34 , ~( hBOOL( hAPP( X,
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.98/1.34 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.98/1.34 , Z ) ), T ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.34 , ~( hBOOL( hAPP( U,
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.98/1.34 , Z ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.98/1.34 , Z ) ), T ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.98/1.34 'c_SetInterval_Oord_OatLeastLessThan'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( T, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( Z, U ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.98/1.34 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.98/1.34 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.98/1.34 'c_SetInterval_Oord_OatLeastAtMost'( Z, T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~(
% 0.98/1.34 'c_Typedef_Otype__definition'( Y, U, T, W, X ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.98/1.34 'c_SetInterval_Oord_OgreaterThanLessThan'( Z, T, U, X ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( Z, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.98/1.34 'c_SetInterval_Oord_OgreaterThanAtMost'( Z, T, U, W, X ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( Z, Y ), W ) ) ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ) ],
% 0.98/1.34 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( Y, W ) ),
% 0.98/1.34 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( Z, U ) ) ), ~(
% 0.98/1.34 hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Y ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexI__1__1'( Y, X, Z ) ) )
% 0.98/1.34 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.98/1.34 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), T ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U ), Y )
% 0.98/1.34 ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.98/1.34 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.98/1.34 ) ), Y ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.98/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.98/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.98/1.34 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.98/1.34 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z ) ) ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( X ), Y ), T ) ) ), ~( =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , T ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.98/1.34 ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.34 , X ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.34 , Y, X ) ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.34 , Y, X ) ) ],
% 0.98/1.34 [ ~( =( hAPP( X, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( Y, X
% 0.98/1.34 , Z, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'(
% 0.98/1.34 Y, X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, U ) ),
% 0.98/1.34 Z ), 'c_FuncSet_Oextensional'( Y, T, U ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( 'tc_fun'( T, U ) ), X ), 'c_FuncSet_Oextensional'( Y, T, U ) ) )
% 0.98/1.34 ), =( X, Z ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.98/1.34 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 Z ) ) ), =( Y, Z ) ],
% 0.98/1.34 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.98/1.34 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.34 ), =( Z, Y ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.34 ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.34 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.34 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.34 ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.98/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.98/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.34 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.98/1.34 ,
% 0.98/1.34 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.98/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ), Z ) ) ],
% 0.98/1.34 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( Y ), X ), T ) ) ],
% 0.98/1.34 [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( 'c_Typedef_Otype__definition'( Y,
% 0.98/1.34 X, T, U, W ) ) ],
% 0.98/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.98/1.34 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.98/1.34 , U, V3, V4, T ) ) ],
% 0.98/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.98/1.34 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.98/1.34 V2, V3, V4, T ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.98/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, T, U, X )
% 0.98/1.34 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, U,
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( T, W ) ) ), ~( hBOOL(
% 0.98/1.34 hAPP( hAPP( 'c_in'( X ), W ), hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.34 'c_in'( U ), V0 ), Y ) ) ) ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.98/1.34 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.98/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.98/1.34 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), Z ), T ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.98/1.34 ) ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.98/1.34 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.98/1.34 'tc_bool' ) ), Y ), T ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y
% 0.98/1.34 ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.98/1.34 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.98/1.34 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.98/1.34 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( U, 'tc_bool' ) ), U ), T, U ) ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.98/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.34 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 0.98/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.98/1.34 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.98/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.98/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.98/1.34 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.98/1.34 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.98/1.34 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.98/1.34 , Z, V2, Y ) ) ],
% 0.98/1.34 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.98/1.34 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.98/1.34 , V2, Z, Y ) ) ],
% 0.98/1.34 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.98/1.34 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.98/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL( hAPP(
% 0.98/1.34 hAPP( 'c_in'( Z ), X ), Y ) ) ) ],
% 0.98/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.98/1.34 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.98/1.34 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.98/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.98/1.34 ) ), =( X, T ) ],
% 0.98/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.98/1.34 ) ), =( Y, U ) ],
% 0.98/1.34 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.98/1.34 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.98/1.34 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.98/1.34 , 'tc_bool' ) ), X ) ) ],
% 0.98/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.98/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.34 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.98/1.34 ],
% 0.98/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.98/1.34 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 0.98/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.98/1.34 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.98/1.34 ) ],
% 0.98/1.34 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.98/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.98/1.34 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.98/1.34 ) ],
% 0.98/1.34 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.98/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.35 , Z ), 'c_Collect'( T, X ) ) ) ), ~( hBOOL( hAPP( T, Y ) ) ), ~( hBOOL(
% 0.98/1.35 hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.98/1.35 X, T, U ), Z ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.98/1.35 hAPP( X, U ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.35 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.98/1.35 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.98/1.35 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.98/1.35 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.98/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.98/1.35 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.98/1.35 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.98/1.35 'tc_bool' ) ) ) ],
% 0.98/1.35 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 0.98/1.35 'tc_bool' ), 'tc_bool' ), Y ), X ), Y ) ],
% 0.98/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.98/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.98/1.35 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.35 [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.98/1.35 ), U ) ) ), ~( 'c_Typedef_Otype__definition'( X, Y, U, W, T ) ) ],
% 0.98/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.98/1.35 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.98/1.35 'c_Typedef_Otype__definition'( W, X, U, V0, T ) ), =( Y, Z ) ],
% 0.98/1.35 [ =( hAPP( 'c_Fun_Ooverride__on'( X, Y, Z, T, U ), W ), hAPP( X, W ) ),
% 0.98/1.35 hBOOL( hAPP( hAPP( 'c_in'( T ), W ), Z ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP(
% 0.98/1.35 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ),
% 0.98/1.35 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.98/1.35 'tc_bool' ) ), Z ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexE__1__1'( Y, X, Z ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y )
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.98/1.35 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( U, X, Y, W, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.98/1.35 ), 'c_SetInterval_Oord_OgreaterThanAtMost'( X, U, W, Z, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'(
% 0.98/1.35 X, 'tc_bool' ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( X,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.98/1.35 , Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.98/1.35 , Z ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( U,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.98/1.35 , Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.98/1.35 , Z ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.98/1.35 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.98/1.35 , Z ) ), T ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, U
% 0.98/1.35 , Z ) ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3'( T, X
% 0.98/1.35 , Z ) ), T ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( X,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.98/1.35 , X, Z ) ) ) ), ~( hBOOL( hAPP( U,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.98/1.35 , X, Z ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( U,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.98/1.35 , U, Z ) ) ) ), ~( hBOOL( hAPP( X,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.98/1.35 , U, Z ) ) ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.98/1.35 , hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XballE__1__1'(
% 0.98/1.35 Z, T, X ) ), Z ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__XbexCI__1__1'( Y, X, Z ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ), ~( hBOOL( hAPP( X, T )
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.98/1.35 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, Y, U, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.98/1.35 ), 'c_SetInterval_Oord_OgreaterThanLessThan'( X, U, Z, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.35 , T ), Z ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( X ), Y ), hAPP( hAPP(
% 0.98/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.98/1.35 , Z ), T ) ) ) ) ],
% 0.98/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.98/1.35 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.98/1.35 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.98/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.98/1.35 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.98/1.35 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.98/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.98/1.35 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.98/1.35 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.98/1.35 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.98/1.35 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.98/1.35 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.98/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.98/1.35 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.98/1.35 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.98/1.35 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Collect'( Z, X ) ) ), ~( hBOOL(
% 0.98/1.35 hAPP( Z, Y ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.98/1.35 'c_Collect'( X, Z ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OatMost'( Z,
% 0.98/1.35 T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.98/1.35 ), 'c_SetInterval_Oord_OatMost'( X, Z, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.98/1.35 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.98/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.98/1.35 T, 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.98/1.35 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, U
% 0.98/1.35 , X, Z ) ), T ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) )
% 0.98/1.35 , hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1'( T, X
% 0.98/1.35 , U, Z ) ), T ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( T, Y ) )
% 0.98/1.35 , ~( hBOOL( hAPP( T, 'c_ATP__Linkup_Osko__Set__XballE__1__1'( Z, T, X ) )
% 0.98/1.35 ) ) ],
% 0.98/1.35 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.98/1.35 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.98/1.35 ), X ), Y ) ), =( Y, T ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexI__1__1'(
% 0.98/1.35 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 0.98/1.35 hBOOL( hAPP( Z, T ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.98/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.98/1.35 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.98/1.35 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.98/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.98/1.35 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( T, W
% 0.98/1.35 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), Z ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OgreaterThan'(
% 0.98/1.35 Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, T ), Y ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.98/1.35 ), 'c_SetInterval_Oord_OgreaterThan'( X, Y, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X,
% 0.98/1.35 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3'( Y, Z, X, T, U )
% 0.98/1.35 ) ), ~( hBOOL( hAPP( X, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W )
% 0.98/1.35 , hAPP( Z, V0 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), V0 ), Y ) ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.98/1.35 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.98/1.35 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.98/1.35 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( U ), T ), Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y
% 0.98/1.35 , W, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( U ), Y ), T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.98/1.35 , Z, X, V0, V1, V2, V3, V4, U ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.98/1.35 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, U, Z, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.98/1.35 ), 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, U, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.98/1.35 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.98/1.35 ), Z ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3'( Y, Z, X, T
% 0.98/1.35 ) ) ), ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), U
% 0.98/1.35 ), Y ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), 'c_ATP__Linkup_Osko__Set__XbexE__1__1'(
% 0.98/1.35 Y, Z, X ) ), Y ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( X ), T ), Y ) ) ) ],
% 0.98/1.35 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.98/1.35 , X ), Y ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_SetInterval_Oord_OlessThan'( Z
% 0.98/1.35 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), T ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.98/1.35 ), 'c_SetInterval_Oord_OlessThan'( X, Z, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.98/1.35 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.98/1.35 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.98/1.35 ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.98/1.35 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.98/1.35 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.98/1.35 T, 'tc_fun'( U, 'tc_bool' ) ) ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.98/1.35 Y, V1 ), W ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), V1 ), X ) ) )
% 0.98/1.35 ],
% 0.98/1.35 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.98/1.35 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.98/1.35 U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), W ), X ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y
% 0.98/1.35 ), 'c_SetInterval_Oord_OatLeastLessThan'( U, X, W, Z, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 0.98/1.35 ), 'c_SetInterval_Oord_OatLeastLessThan'( X, U, Y, W, T ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.98/1.35 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, Z, X ) ), Y ) ), ~( hBOOL(
% 0.98/1.35 hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1'( Y, X, Z )
% 0.98/1.35 ) ), ~( hBOOL( hAPP( X, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T )
% 0.98/1.35 , Y ) ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.98/1.35 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.98/1.35 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.98/1.35 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.98/1.35 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.98/1.35 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.98/1.35 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, U, W, T ), Y ), Z, T, W ) ) ],
% 0.98/1.35 [ 'c_Finite__Set_Ofun__left__comm__idem'( hAPP( 'c_COMBB'( X, Y,
% 0.98/1.35 'tc_fun'( Z, Z ), T ), U ), T, Z ), ~(
% 0.98/1.35 'c_Finite__Set_Ofun__left__comm__idem'( X, Y, Z ) ) ],
% 0.98/1.35 [ 'c_Finite__Set_Ofun__left__comm'( hAPP( 'c_COMBB'( X, Y, 'tc_fun'( Z,
% 0.98/1.35 Z ), T ), U ), T, Z ), ~( 'c_Finite__Set_Ofun__left__comm'( X, Y, Z ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.98/1.35 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.98/1.35 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ), T ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.98/1.35 , U, X, Y ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.98/1.35 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( T, U, Z, X, Y ) ), T ) ) ]
% 0.98/1.35 ,
% 0.98/1.35 [ =( hAPP( X, Y ), 'c_HOL_Oundefined'( Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.98/1.35 T ), Y ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, Z ) ), X ),
% 0.98/1.35 'c_FuncSet_Oextensional'( U, T, Z ) ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, Y ) ), Z ), 'c_FuncSet_OPi'( T
% 0.98/1.35 , U, X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), hAPP( Z,
% 0.98/1.35 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ), hAPP( U,
% 0.98/1.35 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( T, U, Z, X, Y ) ) ) ) ) ],
% 0.98/1.35 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.98/1.35 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1'( T, X, Y, Z, U ) ), T )
% 0.98/1.35 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, U ) ), Y ),
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% 0.98/1.35 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.98/1.35 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.98/1.35 U ) ) ],
% 0.98/1.35 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.98/1.35 ) ) ) ],
% 0.98/1.35 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.98/1.35 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.98/1.35 ] .
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35 percentage equality = 0.247423, percentage horn = 0.885808
% 0.98/1.35 This is a problem with some equality
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35
% 0.98/1.35 Options Used:
% 0.98/1.35
% 0.98/1.35 useres = 1
% 0.98/1.35 useparamod = 1
% 0.98/1.35 useeqrefl = 1
% 0.98/1.35 useeqfact = 1
% 0.98/1.35 usefactor = 1
% 0.98/1.35 usesimpsplitting = 0
% 0.98/1.35 usesimpdemod = 5
% 0.98/1.35 usesimpres = 3
% 0.98/1.35
% 0.98/1.35 resimpinuse = 1000
% 0.98/1.35 resimpclauses = 20000
% 0.98/1.35 substype = eqrewr
% 0.98/1.35 backwardsubs = 1
% 0.98/1.35 selectoldest = 5
% 0.98/1.35
% 0.98/1.35 litorderings [0] = split
% 0.98/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.35
% 0.98/1.35 termordering = kbo
% 0.98/1.35
% 0.98/1.35 litapriori = 0
% 0.98/1.35 termapriori = 1
% 0.98/1.35 litaposteriori = 0
% 0.98/1.35 termaposteriori = 0
% 0.98/1.35 demodaposteriori = 0
% 0.98/1.35 ordereqreflfact = 0
% 0.98/1.35
% 0.98/1.35 litselect = negord
% 0.98/1.35
% 0.98/1.35 maxweight = 15
% 0.98/1.35 maxdepth = 30000
% 0.98/1.35 maxlength = 115
% 0.98/1.35 maxnrvars = 195
% 0.98/1.35 excuselevel = 1
% 0.98/1.35 increasemaxweight = 1
% 0.98/1.35
% 0.98/1.35 maxselected = 10000000
% 0.98/1.35 maxnrclauses = 10000000
% 0.98/1.35
% 0.98/1.35 showgenerated = 0
% 0.98/1.35 showkept = 0
% 0.98/1.35 showselected = 0
% 0.98/1.35 showdeleted = 0
% 0.98/1.35 showresimp = 1
% 0.98/1.35 showstatus = 2000
% 0.98/1.35
% 0.98/1.35 prologoutput = 1
% 0.98/1.35 nrgoals = 5000000
% 0.98/1.35 totalproof = 1
% 0.98/1.35
% 0.98/1.35 Symbols occurring in the translation:
% 0.98/1.35
% 0.98/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.35 . [1, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.98/1.35 ! [4, 1] (w:0, o:87, a:1, s:1, b:0),
% 0.98/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.35 'tc_bool' [41, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.98/1.35 'tc_fun' [42, 2] (w:1, o:162, a:1, s:1, b:0),
% 0.98/1.35 'c_Lattices_Olower__semilattice__class_Oinf' [43, 1] (w:1, o:92, a:1
% 0.98/1.35 , s:1, b:0),
% 0.98/1.35 hAPP [45, 2] (w:1, o:163, a:1, s:1, b:0),
% 0.98/1.35 'c_lessequals' [47, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.98/1.35 'class_Lattices_Olower__semilattice' [48, 1] (w:1, o:93, a:1, s:1, b:
% 0.98/1.35 0),
% 0.98/1.35 'class_Lattices_Olattice' [54, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.98/1.35 'c_Lattices_Oupper__semilattice__class_Osup' [55, 1] (w:1, o:95, a:1
% 0.98/1.35 , s:1, b:0),
% 0.98/1.35 'c_Orderings_Obot__class_Obot' [57, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.98/1.35 'c_Fun_Ofun__upd' [60, 5] (w:1, o:206, a:1, s:1, b:0),
% 0.98/1.35 'c_Set_Oimage' [64, 4] (w:1, o:191, a:1, s:1, b:0),
% 0.98/1.35 'c_Finite__Set_Ofinite' [65, 2] (w:1, o:164, a:1, s:1, b:0),
% 0.98/1.35 'class_Lattices_Oupper__semilattice' [66, 1] (w:1, o:97, a:1, s:1, b:
% 0.98/1.35 0),
% 0.98/1.35 'class_Orderings_Opreorder' [67, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.98/1.35 'c_HOL_Oord__class_Oless' [68, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.98/1.35 'class_Orderings_Oorder' [69, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.98/1.35 'class_HOL_Oord' [70, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.98/1.35 'c_HOL_Ominus__class_Ominus' [72, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.98/1.35 'class_Lattices_Obounded__lattice' [73, 1] (w:1, o:101, a:1, s:1, b:0
% 0.98/1.35 ),
% 0.98/1.35 'c_Fun_Oinj__on' [75, 4] (w:1, o:192, a:1, s:1, b:0),
% 0.98/1.35 hBOOL [76, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.98/1.35 'c_Relation_OImage' [81, 4] (w:1, o:190, a:1, s:1, b:0),
% 0.98/1.35 'c_Set_Oinsert' [82, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.98/1.35 'c_Finite__Set_Ofold__graph' [83, 6] (w:1, o:217, a:1, s:1, b:0),
% 0.98/1.35 'c_Finite__Set_Ofun__left__comm__idem' [84, 3] (w:1, o:175, a:1, s:1
% 0.98/1.35 , b:0),
% 0.98/1.35 'class_Orderings_Obot' [85, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.98/1.35 'c_HOL_Ouminus__class_Ouminus' [86, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.98/1.35 'class_OrderedGroup_Opordered__ab__group__add' [87, 1] (w:1, o:106
% 0.98/1.35 , a:1, s:1, b:0),
% 0.98/1.35 'c_Finite__Set_Ofun__left__comm' [88, 3] (w:1, o:176, a:1, s:1, b:0)
% 0.98/1.35 ,
% 0.98/1.35 'class_Lattices_Odistrib__lattice' [89, 1] (w:1, o:107, a:1, s:1, b:0
% 0.98/1.35 ),
% 0.98/1.35 'class_Orderings_Olinorder' [90, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.98/1.35 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [94, 4] (w:1
% 0.98/1.35 , o:193, a:1, s:1, b:0),
% 0.98/1.35 'class_OrderedGroup_Oab__group__add' [97, 1] (w:1, o:109, a:1, s:1
% 0.98/1.35 , b:0),
% 0.98/1.35 'c_Finite__Set_Osetsum' [98, 4] (w:1, o:194, a:1, s:1, b:0),
% 0.98/1.35 'c_in' [99, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.98/1.35 'class_Complete__Lattice_Ocomplete__lattice' [100, 1] (w:1, o:111, a:
% 0.98/1.35 1, s:1, b:0),
% 0.98/1.35 'c_COMBC' [105, 4] (w:1, o:196, a:1, s:1, b:0),
% 0.98/1.35 'class_OrderedGroup_Olordered__ab__group__add' [106, 1] (w:1, o:112
% 0.98/1.35 , a:1, s:1, b:0),
% 0.98/1.35 'class_Lattices_Oboolean__algebra' [107, 1] (w:1, o:113, a:1, s:1, b:
% 0.98/1.35 0),
% 0.98/1.35 'c_COMBB' [109, 4] (w:1, o:195, a:1, s:1, b:0),
% 0.98/1.35 'c_Not' [110, 0] (w:1, o:62, a:1, s:1, b:0),
% 0.98/1.35 'c_Collect' [111, 2] (w:1, o:165, a:1, s:1, b:0),
% 0.98/1.35 'c_Set_Ovimage' [112, 4] (w:1, o:197, a:1, s:1, b:0),
% 0.98/1.35 'c_Nitpick_Ofold__graph_H' [113, 6] (w:1, o:218, a:1, s:1, b:0),
% 0.98/1.35 'class_Finite__Set_Ofinite_Ofinite' [114, 1] (w:1, o:114, a:1, s:1
% 0.98/1.35 , b:0),
% 0.98/1.35 'c_ATP__Linkup_Osko__Set__Xbex__Un__1__3' [116, 4] (w:1, o:198, a:1
% 0.98/1.35 , s:1, b:0),
% 0.98/1.35 'tc_prod' [119, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.98/1.35 'c_Pair' [120, 4] (w:1, o:199, a:1, s:1, b:0),
% 0.98/1.35 'class_OrderedGroup_Oab__semigroup__mult' [121, 1] (w:1, o:115, a:1
% 0.98/1.35 , s:1, b:0),
% 0.98/1.35 'c_HOL_Otimes__class_Otimes' [122, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.98/1.35 'c_fequal' [123, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.98/1.35 'class_OrderedGroup_Ocomm__monoid__add' [124, 1] (w:1, o:117, a:1, s:
% 0.98/1.35 1, b:0),
% 0.98/1.35 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__reindex__cong__1__1' [125, 7
% 0.98/1.35 ] (w:1, o:219, a:1, s:1, b:0),
% 6.12/6.48 'c_COMBK' [126, 3] (w:1, o:177, a:1, s:1, b:0),
% 6.12/6.48 'c_Typedef_Otype__definition' [129, 5] (w:1, o:209, a:1, s:1, b:0),
% 6.12/6.48 'c_Complete__Lattice_Ocomplete__lattice' [138, 9] (w:1, o:220, a:1
% 6.12/6.48 , s:1, b:0),
% 6.12/6.48 'class_Ring__and__Field_Oidom' [139, 1] (w:1, o:118, a:1, s:1, b:0),
% 6.12/6.48
% 6.12/6.48 'class_Ring__and__Field_Ofield' [140, 1] (w:1, o:119, a:1, s:1, b:0)
% 6.12/6.48 ,
% 6.12/6.48 'c_HOL_Oinverse__class_Odivide' [141, 1] (w:1, o:120, a:1, s:1, b:0)
% 6.12/6.48 ,
% 6.12/6.48 'c_List_Olist_ONil' [142, 1] (w:1, o:121, a:1, s:1, b:0),
% 6.12/6.48 'c_List_Ofoldl' [143, 5] (w:1, o:210, a:1, s:1, b:0),
% 6.12/6.48 'tc_Arrow__Order__Mirabelle_Oalt' [144, 0] (w:1, o:73, a:1, s:1, b:0)
% 6.12/6.48 ,
% 6.12/6.48 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1' [145, 3] (w:1
% 6.12/6.48 , o:178, a:1, s:1, b:0),
% 6.12/6.48 'tc_Arrow__Order__Mirabelle_Oindi' [146, 0] (w:1, o:74, a:1, s:1, b:0
% 6.12/6.48 ),
% 6.12/6.48 'c_Arrow__Order__Mirabelle_OProf' [147, 0] (w:1, o:75, a:1, s:1, b:0)
% 6.12/6.48 ,
% 6.12/6.48 'c_Arrow__Order__Mirabelle_Ounanimity' [148, 1] (w:1, o:122, a:1, s:1
% 6.12/6.48 , b:0),
% 6.12/6.48 'class_Ring__and__Field_Oring' [149, 1] (w:1, o:123, a:1, s:1, b:0),
% 6.12/6.48
% 6.12/6.48 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1' [150, 4] (w:1, o:200
% 6.12/6.48 , a:1, s:1, b:0),
% 6.12/6.48 'c_Arrow__Order__Mirabelle_OIIA' [151, 1] (w:1, o:124, a:1, s:1, b:0)
% 6.12/6.48 ,
% 6.12/6.48 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1' [152, 2] (w:1, o:167
% 6.12/6.48 , a:1, s:1, b:0),
% 6.12/6.48 'c_List_Olist_OCons' [153, 3] (w:1, o:179, a:1, s:1, b:0),
% 6.12/6.48 'c_List_Odistinct' [154, 2] (w:1, o:168, a:1, s:1, b:0),
% 6.12/6.48 'c_FuncSet_OPi' [155, 4] (w:1, o:201, a:1, s:1, b:0),
% 6.12/6.48 'c_FuncSet_Osko__FuncSet__XfuncsetI__1__1' [156, 5] (w:1, o:212, a:1
% 6.12/6.48 , s:1, b:0),
% 6.12/6.48 'tc_nat' [157, 0] (w:1, o:76, a:1, s:1, b:0),
% 6.12/6.48 'class_Ring__and__Field_Ocomm__semiring__1' [158, 1] (w:1, o:125, a:1
% 6.12/6.48 , s:1, b:0),
% 6.12/6.48 'class_Ring__and__Field_Osemiring__0' [160, 1] (w:1, o:126, a:1, s:1
% 6.12/6.48 , b:0),
% 6.12/6.48 'class_Ring__and__Field_Odivision__by__zero' [161, 1] (w:1, o:127, a:
% 6.12/6.48 1, s:1, b:0),
% 6.12/6.48 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1' [162, 2] (w:1, o:
% 6.12/6.48 169, a:1, s:1, b:0),
% 6.12/6.48 'c_Arrow__Order__Mirabelle_Odictator' [163, 2] (w:1, o:170, a:1, s:1
% 6.12/6.48 , b:0),
% 6.12/6.48 'class_Ring__and__Field_Oordered__ring__strict' [166, 1] (w:1, o:128
% 6.12/6.48 , a:1, s:1, b:0),
% 6.12/6.48 'class_OrderedGroup_Oab__semigroup__idem__mult' [167, 1] (w:1, o:129
% 6.12/6.48 , a:1, s:1, b:0),
% 6.12/6.48 'c_Fun_Ooverride__on' [168, 5] (w:1, o:213, a:1, s:1, b:0),
% 6.12/6.48 'class_OrderedGroup_Ogroup__add' [169, 1] (w:1, o:130, a:1, s:1, b:0)
% 6.12/6.48 ,
% 6.12/6.48 'c_ATP__Linkup_Osko__Set__XbexCI__1__1' [170, 3] (w:1, o:180, a:1, s:
% 6.12/6.48 1, b:0),
% 6.12/6.48 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3' [172,
% 6.12/6.48 3] (w:1, o:181, a:1, s:1, b:0),
% 6.12/6.48 'c_SetInterval_Oord_OatLeastLessThan' [175, 5] (w:1, o:207, a:1, s:1
% 6.12/6.48 , b:0),
% 6.12/6.48 'c_SetInterval_Oord_OatLeastAtMost' [176, 4] (w:1, o:202, a:1, s:1
% 6.12/6.48 , b:0),
% 6.12/6.48 'c_SetInterval_Oord_OgreaterThanLessThan' [177, 4] (w:1, o:203, a:1
% 6.12/6.48 , s:1, b:0),
% 6.12/6.48 'c_SetInterval_Oord_OgreaterThanAtMost' [178, 5] (w:1, o:208, a:1, s:
% 6.12/6.48 1, b:0),
% 6.12/6.48 'c_ATP__Linkup_Osko__Set__XbexI__1__1' [179, 3] (w:1, o:182, a:1, s:1
% 6.12/6.48 , b:0),
% 6.12/6.48 'c_FuncSet_Osko__FuncSet__XextensionalityI__1__1' [184, 5] (w:1, o:
% 6.12/6.48 211, a:1, s:1, b:0),
% 6.12/6.48 'c_FuncSet_Oextensional' [185, 3] (w:1, o:183, a:1, s:1, b:0),
% 6.12/6.48 'class_Ring__and__Field_Oordered__idom' [186, 1] (w:1, o:131, a:1, s:
% 6.12/6.48 1, b:0),
% 6.12/6.48 'c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3' [188, 5] (w:1
% 6.12/6.48 , o:214, a:1, s:1, b:0),
% 6.12/6.48 'c_ATP__Linkup_Osko__Set__XbexE__1__1' [191, 3] (w:1, o:184, a:1, s:1
% 6.12/6.48 , b:0),
% 6.12/6.48 'c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1' [194,
% 6.12/6.48 4] (w:1, o:204, a:1, s:1, b:0),
% 6.12/6.48 'c_ATP__Linkup_Osko__Set__XballE__1__1' [196, 3] (w:1, o:185, a:1, s:
% 6.12/6.48 1, b:0),
% 6.12/6.48 'c_SetInterval_Oord_OatMost' [197, 3] (w:1, o:186, a:1, s:1, b:0),
% 6.12/6.48 'c_SetInterval_Oord_OgreaterThan' [200, 3] (w:1, o:187, a:1, s:1, b:0
% 6.12/6.48 ),
% 6.12/6.48 'c_SetInterval_Oord_OlessThan' [201, 3] (w:1, o:188, a:1, s:1, b:0),
% 6.12/6.48
% 6.12/6.48 'c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1' [202, 3] (w:1, o:189, a:1
% 21.58/21.95 , s:1, b:0),
% 21.58/21.95 'c_FuncSet_Osko__FuncSet__XPi__I__1__1' [203, 5] (w:1, o:215, a:1, s:
% 21.58/21.95 1, b:0),
% 21.58/21.95 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1' [204, 5] (w:1, o:216, a:1
% 21.58/21.95 , s:1, b:0),
% 21.58/21.95 'c_HOL_Oundefined' [205, 1] (w:1, o:132, a:1, s:1, b:0),
% 21.58/21.95 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2' [206, 1] (w:1, o:133
% 21.58/21.95 , a:1, s:1, b:0),
% 21.58/21.95 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2' [207, 1] (w:1
% 21.58/21.95 , o:134, a:1, s:1, b:0),
% 21.58/21.95 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3' [208, 1] (w:1, o:135
% 21.58/21.95 , a:1, s:1, b:0),
% 21.58/21.95 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [209, 4] (w:1, o:205
% 21.58/21.95 , a:1, s:1, b:0),
% 21.58/21.95 'v_a____' [211, 0] (w:1, o:78, a:1, s:1, b:0),
% 21.58/21.95 'v_b____' [212, 0] (w:1, o:79, a:1, s:1, b:0),
% 21.58/21.95 'v_P____' [213, 0] (w:1, o:80, a:1, s:1, b:0),
% 21.58/21.95 'v_P_H____' [214, 1] (w:1, o:136, a:1, s:1, b:0),
% 21.58/21.95 'v_c____' [215, 0] (w:1, o:81, a:1, s:1, b:0),
% 21.58/21.95 'c_Arrow__Order__Mirabelle_Obelow' [216, 0] (w:1, o:82, a:1, s:1, b:0
% 21.58/21.95 ).
% 21.58/21.95
% 21.58/21.95
% 21.58/21.95 Starting Search:
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95
% 21.58/21.95 Intermediate Status:
% 21.58/21.95 Generated: 6103
% 21.58/21.95 Kept: 2014
% 21.58/21.95 Inuse: 200
% 21.58/21.95 Deleted: 1
% 21.58/21.95 Deletedinuse: 0
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95
% 21.58/21.95 Intermediate Status:
% 21.58/21.95 Generated: 11731
% 21.58/21.95 Kept: 4091
% 21.58/21.95 Inuse: 253
% 21.58/21.95 Deleted: 1
% 21.58/21.95 Deletedinuse: 0
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95
% 21.58/21.95 Intermediate Status:
% 21.58/21.95 Generated: 16744
% 21.58/21.95 Kept: 6111
% 21.58/21.95 Inuse: 278
% 21.58/21.95 Deleted: 2
% 21.58/21.95 Deletedinuse: 0
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95
% 21.58/21.95 Intermediate Status:
% 21.58/21.95 Generated: 25636
% 21.58/21.95 Kept: 8116
% 21.58/21.95 Inuse: 337
% 21.58/21.95 Deleted: 3
% 21.58/21.95 Deletedinuse: 0
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95
% 21.58/21.95 Intermediate Status:
% 21.58/21.95 Generated: 31307
% 21.58/21.95 Kept: 10286
% 21.58/21.95 Inuse: 359
% 21.58/21.95 Deleted: 3
% 21.58/21.95 Deletedinuse: 0
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95
% 21.58/21.95 Intermediate Status:
% 21.58/21.95 Generated: 44231
% 21.58/21.95 Kept: 12597
% 21.58/21.95 Inuse: 449
% 21.58/21.95 Deleted: 3
% 21.58/21.95 Deletedinuse: 0
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.58/21.95 Done
% 21.58/21.95
% 21.58/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 53516
% 21.59/21.95 Kept: 14599
% 21.59/21.95 Inuse: 518
% 21.59/21.95 Deleted: 46
% 21.59/21.95 Deletedinuse: 43
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 62483
% 21.59/21.95 Kept: 16636
% 21.59/21.95 Inuse: 533
% 21.59/21.95 Deleted: 46
% 21.59/21.95 Deletedinuse: 43
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 70175
% 21.59/21.95 Kept: 18716
% 21.59/21.95 Inuse: 558
% 21.59/21.95 Deleted: 46
% 21.59/21.95 Deletedinuse: 43
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying clauses:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 79327
% 21.59/21.95 Kept: 20758
% 21.59/21.95 Inuse: 626
% 21.59/21.95 Deleted: 1278
% 21.59/21.95 Deletedinuse: 43
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 92291
% 21.59/21.95 Kept: 23177
% 21.59/21.95 Inuse: 671
% 21.59/21.95 Deleted: 1281
% 21.59/21.95 Deletedinuse: 46
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 101155
% 21.59/21.95 Kept: 25182
% 21.59/21.95 Inuse: 708
% 21.59/21.95 Deleted: 1282
% 21.59/21.95 Deletedinuse: 46
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 111610
% 21.59/21.95 Kept: 27185
% 21.59/21.95 Inuse: 744
% 21.59/21.95 Deleted: 1282
% 21.59/21.95 Deletedinuse: 46
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 124295
% 21.59/21.95 Kept: 29249
% 21.59/21.95 Inuse: 768
% 21.59/21.95 Deleted: 1331
% 21.59/21.95 Deletedinuse: 48
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 135564
% 21.59/21.95 Kept: 31303
% 21.59/21.95 Inuse: 793
% 21.59/21.95 Deleted: 1331
% 21.59/21.95 Deletedinuse: 48
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 144769
% 21.59/21.95 Kept: 33349
% 21.59/21.95 Inuse: 804
% 21.59/21.95 Deleted: 1339
% 21.59/21.95 Deletedinuse: 48
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 153121
% 21.59/21.95 Kept: 35603
% 21.59/21.95 Inuse: 819
% 21.59/21.95 Deleted: 1339
% 21.59/21.95 Deletedinuse: 48
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 158950
% 21.59/21.95 Kept: 37716
% 21.59/21.95 Inuse: 842
% 21.59/21.95 Deleted: 1339
% 21.59/21.95 Deletedinuse: 48
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95 Resimplifying inuse:
% 21.59/21.95 Done
% 21.59/21.95
% 21.59/21.95
% 21.59/21.95 Intermediate Status:
% 21.59/21.95 Generated: 165837
% 21.59/21.95 Kept: 39788
% 21.59/21.95 Inuse: 858
% 59.55/60.01 Deleted: 1340
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying clauses:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 176196
% 59.55/60.01 Kept: 41878
% 59.55/60.01 Inuse: 905
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 183637
% 59.55/60.01 Kept: 44028
% 59.55/60.01 Inuse: 938
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 190549
% 59.55/60.01 Kept: 46264
% 59.55/60.01 Inuse: 955
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 197769
% 59.55/60.01 Kept: 48343
% 59.55/60.01 Inuse: 977
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 203594
% 59.55/60.01 Kept: 50350
% 59.55/60.01 Inuse: 991
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 211910
% 59.55/60.01 Kept: 52396
% 59.55/60.01 Inuse: 1014
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 220807
% 59.55/60.01 Kept: 54471
% 59.55/60.01 Inuse: 1027
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 234527
% 59.55/60.01 Kept: 56517
% 59.55/60.01 Inuse: 1039
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 245258
% 59.55/60.01 Kept: 59020
% 59.55/60.01 Inuse: 1045
% 59.55/60.01 Deleted: 2036
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying clauses:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 253315
% 59.55/60.01 Kept: 61115
% 59.55/60.01 Inuse: 1063
% 59.55/60.01 Deleted: 2089
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 278595
% 59.55/60.01 Kept: 65634
% 59.55/60.01 Inuse: 1075
% 59.55/60.01 Deleted: 2089
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 287476
% 59.55/60.01 Kept: 67686
% 59.55/60.01 Inuse: 1100
% 59.55/60.01 Deleted: 2089
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 300528
% 59.55/60.01 Kept: 69686
% 59.55/60.01 Inuse: 1111
% 59.55/60.01 Deleted: 2089
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 314452
% 59.55/60.01 Kept: 71698
% 59.55/60.01 Inuse: 1123
% 59.55/60.01 Deleted: 2089
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 325755
% 59.55/60.01 Kept: 74116
% 59.55/60.01 Inuse: 1125
% 59.55/60.01 Deleted: 2089
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 336803
% 59.55/60.01 Kept: 76551
% 59.55/60.01 Inuse: 1150
% 59.55/60.01 Deleted: 2089
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 360490
% 59.55/60.01 Kept: 80133
% 59.55/60.01 Inuse: 1194
% 59.55/60.01 Deleted: 2090
% 59.55/60.01 Deletedinuse: 49
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying clauses:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 380655
% 59.55/60.01 Kept: 83271
% 59.55/60.01 Inuse: 1224
% 59.55/60.01 Deleted: 2178
% 59.55/60.01 Deletedinuse: 51
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 388845
% 59.55/60.01 Kept: 85449
% 59.55/60.01 Inuse: 1228
% 59.55/60.01 Deleted: 2194
% 59.55/60.01 Deletedinuse: 51
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 399144
% 59.55/60.01 Kept: 87552
% 59.55/60.01 Inuse: 1256
% 59.55/60.01 Deleted: 2206
% 59.55/60.01 Deletedinuse: 51
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 415301
% 59.55/60.01 Kept: 89632
% 59.55/60.01 Inuse: 1301
% 59.55/60.01 Deleted: 2207
% 59.55/60.01 Deletedinuse: 52
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 429478
% 59.55/60.01 Kept: 92104
% 59.55/60.01 Inuse: 1331
% 59.55/60.01 Deleted: 2207
% 59.55/60.01 Deletedinuse: 52
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 454758
% 59.55/60.01 Kept: 96852
% 59.55/60.01 Inuse: 1356
% 59.55/60.01 Deleted: 2207
% 59.55/60.01 Deletedinuse: 52
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01 Resimplifying inuse:
% 59.55/60.01 Done
% 59.55/60.01
% 59.55/60.01
% 59.55/60.01 Intermediate Status:
% 59.55/60.01 Generated: 466865
% 59.55/60.01 Kept: 99109
% 59.55/60.01 Inuse: 1381
% 59.55/60.01 Deleted: 2207
% 119.02/119.51 Deletedinuse: 52
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying clauses:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 510211
% 119.02/119.51 Kept: 104429
% 119.02/119.51 Inuse: 1431
% 119.02/119.51 Deleted: 2412
% 119.02/119.51 Deletedinuse: 52
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 543102
% 119.02/119.51 Kept: 107746
% 119.02/119.51 Inuse: 1441
% 119.02/119.51 Deleted: 2412
% 119.02/119.51 Deletedinuse: 52
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 577744
% 119.02/119.51 Kept: 111100
% 119.02/119.51 Inuse: 1456
% 119.02/119.51 Deleted: 2413
% 119.02/119.51 Deletedinuse: 53
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 590356
% 119.02/119.51 Kept: 113981
% 119.02/119.51 Inuse: 1490
% 119.02/119.51 Deleted: 2415
% 119.02/119.51 Deletedinuse: 54
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 600261
% 119.02/119.51 Kept: 116778
% 119.02/119.51 Inuse: 1500
% 119.02/119.51 Deleted: 2415
% 119.02/119.51 Deletedinuse: 54
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 608251
% 119.02/119.51 Kept: 118839
% 119.02/119.51 Inuse: 1513
% 119.02/119.51 Deleted: 2415
% 119.02/119.51 Deletedinuse: 54
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying clauses:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 617322
% 119.02/119.51 Kept: 120899
% 119.02/119.51 Inuse: 1525
% 119.02/119.51 Deleted: 2591
% 119.02/119.51 Deletedinuse: 54
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 628390
% 119.02/119.51 Kept: 123562
% 119.02/119.51 Inuse: 1530
% 119.02/119.51 Deleted: 2591
% 119.02/119.51 Deletedinuse: 54
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 639571
% 119.02/119.51 Kept: 126240
% 119.02/119.51 Inuse: 1535
% 119.02/119.51 Deleted: 2591
% 119.02/119.51 Deletedinuse: 54
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 664767
% 119.02/119.51 Kept: 129112
% 119.02/119.51 Inuse: 1560
% 119.02/119.51 Deleted: 2591
% 119.02/119.51 Deletedinuse: 54
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 684428
% 119.02/119.51 Kept: 131117
% 119.02/119.51 Inuse: 1569
% 119.02/119.51 Deleted: 2593
% 119.02/119.51 Deletedinuse: 56
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 720915
% 119.02/119.51 Kept: 134779
% 119.02/119.51 Inuse: 1580
% 119.02/119.51 Deleted: 2593
% 119.02/119.51 Deletedinuse: 56
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 732249
% 119.02/119.51 Kept: 136817
% 119.02/119.51 Inuse: 1600
% 119.02/119.51 Deleted: 2593
% 119.02/119.51 Deletedinuse: 56
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 752049
% 119.02/119.51 Kept: 138855
% 119.02/119.51 Inuse: 1643
% 119.02/119.51 Deleted: 2595
% 119.02/119.51 Deletedinuse: 58
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 777937
% 119.02/119.51 Kept: 141880
% 119.02/119.51 Inuse: 1650
% 119.02/119.51 Deleted: 2595
% 119.02/119.51 Deletedinuse: 58
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying clauses:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 789052
% 119.02/119.51 Kept: 144190
% 119.02/119.51 Inuse: 1670
% 119.02/119.51 Deleted: 3044
% 119.02/119.51 Deletedinuse: 58
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 801211
% 119.02/119.51 Kept: 146493
% 119.02/119.51 Inuse: 1690
% 119.02/119.51 Deleted: 3044
% 119.02/119.51 Deletedinuse: 58
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 810865
% 119.02/119.51 Kept: 148511
% 119.02/119.51 Inuse: 1709
% 119.02/119.51 Deleted: 3044
% 119.02/119.51 Deletedinuse: 58
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 839135
% 119.02/119.51 Kept: 152110
% 119.02/119.51 Inuse: 1720
% 119.02/119.51 Deleted: 3046
% 119.02/119.51 Deletedinuse: 60
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 849656
% 119.02/119.51 Kept: 154468
% 119.02/119.51 Inuse: 1743
% 119.02/119.51 Deleted: 3053
% 119.02/119.51 Deletedinuse: 65
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 857699
% 119.02/119.51 Kept: 156855
% 119.02/119.51 Inuse: 1756
% 119.02/119.51 Deleted: 3058
% 119.02/119.51 Deletedinuse: 68
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 880990
% 119.02/119.51 Kept: 158929
% 119.02/119.51 Inuse: 1759
% 119.02/119.51 Deleted: 3061
% 119.02/119.51 Deletedinuse: 69
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 890342
% 119.02/119.51 Kept: 161218
% 119.02/119.51 Inuse: 1771
% 119.02/119.51 Deleted: 3064
% 119.02/119.51 Deletedinuse: 69
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying clauses:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51 Resimplifying inuse:
% 119.02/119.51 Done
% 119.02/119.51
% 119.02/119.51
% 119.02/119.51 Intermediate Status:
% 119.02/119.51 Generated: 900806
% 119.02/119.51 Kept: 163566
% 119.02/119.51 Inuse: 1784
% 119.02/119.51 Deleted: 3716
% 119.02/119.51 DeletedinCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------