TSTP Solution File: SCT071-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT071-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 21:00:59 EDT 2022
% Result : Timeout 300.04s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SCT071-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % DateTime : Fri Jul 1 23:25:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.92/1.33 *** allocated 10000 integers for termspace/termends
% 0.92/1.33 *** allocated 10000 integers for clauses
% 0.92/1.33 *** allocated 10000 integers for justifications
% 0.92/1.33 *** allocated 15000 integers for termspace/termends
% 0.92/1.33 *** allocated 22500 integers for termspace/termends
% 0.92/1.33 Bliksem 1.12
% 0.92/1.33
% 0.92/1.33
% 0.92/1.33 Automatic Strategy Selection
% 0.92/1.33
% 0.92/1.33 Clauses:
% 0.92/1.33 [
% 0.92/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.33 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.33 [ =( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), Y
% 0.92/1.33 , Z, Z ), 'c_Fun_Oid'( Z ) ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 0.92/1.33 [ ~( =( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), Y
% 0.92/1.33 , Z, Z ), 'c_Fun_Oid'( Z ) ) ), 'c_Fun_Osurj'( X, Y, Z ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.92/1.33 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.92/1.33 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.33 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.92/1.33 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.33 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.33 , X ) ],
% 0.92/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.92/1.33 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.92/1.33 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.92/1.33 , U ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.92/1.33 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.33 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.33 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.33 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.33 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.92/1.33 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.33 ) ],
% 0.92/1.33 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.92/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.33 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.33 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.33 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.92/1.33 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.92/1.33 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.92/1.33 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.92/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.92/1.33 Z, 'tc_nat' ) ) ],
% 0.92/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.92/1.33 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.92/1.33 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), Z ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 0.92/1.33 'tc_bool' ) ), Z ), Y ) ), hBOOL( 'c_in'( X, Z, Y ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.92/1.33 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.92/1.33 ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y,
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.92/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 0.92/1.33 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.92/1.33 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 0.92/1.33 ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 0.92/1.33 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.33 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 0.92/1.33 ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 0.92/1.33 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.92/1.33 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 0.92/1.33 ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 0.92/1.33 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.33 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 0.92/1.33 ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), hBOOL( 'c_in'(
% 0.92/1.33 'c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1'( Y, X, U, Z, T ), Y,
% 0.92/1.33 Z ) ) ],
% 0.92/1.33 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, 'c_Fun_Ocomp'( Y, Z, T, U
% 0.92/1.33 , W ), W, U ), V0 ), hAPP( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.33 X, Z, W, T ), 'c_Hilbert__Choice_Oinv__into'( 'c_Set_Oimage'( Z, X, W, T
% 0.92/1.33 ), Y, T, U ), T, W, U ), V0 ) ), ~( hBOOL( 'c_in'( V0, 'c_Set_Oimage'( Y
% 0.92/1.33 , 'c_Set_Oimage'( Z, X, W, T ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( Z,
% 0.92/1.33 X, W, T ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Set_Oimage'( Z, X, W, T ), T, U )
% 0.92/1.33 ) ],
% 0.92/1.33 [ =( 'c_Set_Oimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.92/1.33 Y, 'tc_bool' ) ), Z ), Y, T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oimage'( X, Z, Y, T ) ) ), ~(
% 0.92/1.33 'c_Fun_Obij'( X, Y, T ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.92/1.33 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Z ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.92/1.33 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T ) ) ],
% 0.92/1.33 [ 'c_Fun_Obij'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), ~( 'c_Fun_Obij'(
% 0.92/1.33 X, Z, T ) ), ~( 'c_Fun_Obij'( Y, U, Z ) ) ],
% 0.92/1.33 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.92/1.33 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.92/1.33 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.92/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.92/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.92/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 0.92/1.33 ) ) ],
% 0.92/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.33 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ),
% 0.92/1.33 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, Y,
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.92/1.33 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Typedef_Otype__definition'( W, X
% 0.92/1.33 , T, V0, U ) ), =( Y, Z ) ],
% 0.92/1.33 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Typedef_Otype__definition'(
% 0.92/1.33 X, T, U, W, V0 ) ), =( Y, Z ) ],
% 0.92/1.33 [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~(
% 0.92/1.33 'c_Typedef_Otype__definition'( X, Y, T, W, U ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.92/1.33 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.33 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.92/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.92/1.33 hBOOL( 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( 'c_in'( Y,
% 0.92/1.33 'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ) ), ~(
% 0.92/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.33 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z,
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.33 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.92/1.33 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.92/1.33 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' ) ), Z ), T, X ),
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_Fun_Osurj'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.92/1.33 T ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.33 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.92/1.33 [ 'c_Fun_Osurj'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), ~(
% 0.92/1.33 'c_Fun_Osurj'( X, Z, T ) ), ~( 'c_Fun_Osurj'( Y, U, Z ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.92/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.92/1.33 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.92/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.92/1.33 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.92/1.33 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.92/1.33 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.92/1.33 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.92/1.33 X, T ), Y ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.33 ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.92/1.33 , 'tc_bool' ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.92/1.33 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.92/1.33 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.92/1.33 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.92/1.33 Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~(
% 0.92/1.33 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.92/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.92/1.33 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.92/1.33 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 0.92/1.33 'c_in'( T, Z, U ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.92/1.33 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.33 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.92/1.33 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.33 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.92/1.33 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.92/1.33 'tc_bool' ) ), X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.92/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.92/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.92/1.33 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 0.92/1.33 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'(
% 0.92/1.33 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) )
% 0.92/1.33 ],
% 0.92/1.33 [ =( 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ), 'c_Fun_Oid'( X ), X, X ), 'c_Fun_Oid'( X ) )
% 0.92/1.33 ],
% 0.92/1.33 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'(
% 0.92/1.33 hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.92/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~(
% 0.92/1.33 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.92/1.33 [ 'c_Fun_Obij__betw'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, U, Z, T )
% 0.92/1.33 , ~( 'c_Fun_Obij__betw'( X, Y, U, Z, T ) ) ],
% 0.92/1.33 [ 'c_Fun_Obij__betw'( X, Y, Z, T, U ), ~( 'c_Fun_Obij__betw'(
% 0.92/1.33 'c_FuncSet_Orestrict'( X, Y, T, U ), Y, Z, T, U ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.92/1.33 [ ~( =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U ), hAPP(
% 0.92/1.33 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), W ) ) ), =( U, W ), ~(
% 0.92/1.33 hBOOL( 'c_in'( W, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ), ~( hBOOL( 'c_in'(
% 0.92/1.33 U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U )
% 0.92/1.33 , X, Z ) ), ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.92/1.33 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.92/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.92/1.33 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 0.92/1.33 'c_Finite__Set_Ocard'( Y, Z ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 0.92/1.33 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.33 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.92/1.33 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X
% 0.92/1.33 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U )
% 0.92/1.33 , 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), ~(
% 0.92/1.33 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ),
% 0.92/1.33 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), T, U ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X,
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.92/1.33 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T, U ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.92/1.33 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.92/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.92/1.33 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.33 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.92/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.92/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.33 'tc_bool' ) ), Y ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ),
% 0.92/1.33 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.33 Y, 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 0.92/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.92/1.33 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.92/1.33 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.33 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.33 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.92/1.33 [ 'c_Fun_Obij__betw'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), U, X, T, Z
% 0.92/1.33 ), ~( 'c_Fun_Obij__betw'( Y, X, U, Z, T ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.92/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.92/1.33 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.33 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.33 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.92/1.33 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.33 ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.92/1.33 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.92/1.33 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 0.92/1.33 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Z ) ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Z ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.92/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.92/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.92/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.33 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.33 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.92/1.33 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.33 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.92/1.33 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.92/1.33 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.92/1.33 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.33 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.33 ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.92/1.33 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.92/1.33 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.33 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.92/1.33 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.92/1.33 Y, Z ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 0.92/1.33 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.92/1.33 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.33 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.92/1.33 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.92/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.92/1.33 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.92/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.33 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, 'c_Suc'( Y ),
% 0.92/1.33 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 0.92/1.33 ) ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 0.92/1.33 [ 'c_Fun_Obij'( 'c_Fun_Oid'( X ), X, X ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y,
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.92/1.33 Y, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool'
% 0.92/1.33 ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 0.92/1.33 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.33 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.33 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.92/1.33 , T ) ) ) ],
% 0.92/1.33 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.92/1.33 , T ) ) ) ],
% 0.92/1.33 [ =( 'c_Set_Ovimage'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.92/1.33 Y, 'tc_bool' ) ), Z ), T, Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Ovimage'( X, Z, T, Y ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U,
% 0.92/1.33 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Set_Ovimage'( Y, X, T, U ), Z,
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( Y, T, U ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ],
% 0.92/1.33 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), hAPP( Y, U ) )
% 0.92/1.33 , U ), ~( hBOOL( 'c_in'( U, X, Z ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T )
% 0.92/1.33 ) ],
% 0.92/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( 'c_Fun_Oinj__on'( T, Y, Z, U ) ),
% 0.92/1.33 =( hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, T, Z, U ), hAPP( T, X ) ), X
% 0.92/1.33 ) ],
% 0.92/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.33 X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.92/1.33 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.33 ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.92/1.33 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.33 ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.92/1.33 ) ) ],
% 0.92/1.33 [ 'c_HOL_Oord__class_Oless'(
% 0.92/1.33 'c_List_Osko__List__Xex__nat__less__eq__1__2'( X, Y ), Y, 'tc_nat' ), ~(
% 0.92/1.33 hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z,
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.33 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Osurj'( Z, T, Y ) ), ~(
% 0.92/1.33 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( Z, X, T, Y ), T ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.33 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.92/1.33 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.33 'tc_bool' ) ), X ) ],
% 0.92/1.33 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.92/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.92/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.92/1.33 [ =( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Y
% 0.92/1.33 , Z, X, X ), 'c_Fun_Oid'( X ) ), ~( 'c_Fun_Oinj__on'( Y,
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ ~( =( 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Y
% 0.92/1.33 , Z, X, X ), 'c_Fun_Oid'( X ) ) ), 'c_Fun_Oinj__on'( Y,
% 0.92/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ],
% 0.92/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.92/1.33 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.33 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.92/1.33 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.33 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y,
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 0.92/1.33 , X ), 'c_Finite__Set_Osetsum'( Y,
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 0.92/1.33 , X ), X ), 'c_Finite__Set_Osetsum'( Y,
% 0.92/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ), 'tc_nat'
% 0.92/1.33 , X ) ), ~( 'c_lessequals'( U, T, 'tc_nat' ) ), ~( 'c_lessequals'( Z, U,
% 0.92/1.33 'tc_nat' ) ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.33 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.92/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.92/1.33 ) ],
% 0.92/1.33 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.92/1.33 ) ],
% 0.92/1.33 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.92/1.33 ), 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'(
% 0.92/1.33 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.92/1.33 'c_Set_Oinsert'( Z, X, Y ), Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.34 X, Y ) ) ],
% 0.92/1.34 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.92/1.34 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.92/1.34 'c_Fun_Osurj'( X, Z, T ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.92/1.34 Z, T, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.92/1.34 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.92/1.34 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( 'c_in'( T, Z, U ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.92/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.92/1.34 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.92/1.34 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.92/1.34 'c_Finite__Set_Ocard'( X, Z ) ), hBOOL( 'c_in'( Y, X, Z ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.92/1.34 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.92/1.34 X, 'tc_bool' ) ), Y ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), X ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.92/1.34 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.92/1.34 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.92/1.34 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.92/1.34 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.92/1.34 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.92/1.34 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.92/1.34 [ =( 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ), 'c_Fun_Ocomp'( Y, Z, T, U, X ), X, U ),
% 0.92/1.34 'c_Fun_Ocomp'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Z, X, T ),
% 0.92/1.34 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.92/1.34 T, 'tc_bool' ) ), Y, T, U ), T, X, U ) ), ~( 'c_Fun_Obij'( Z, X, T ) ),
% 0.92/1.34 ~( 'c_Fun_Obij'( Y, T, U ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ =( 'c_SetInterval_Oord__class_OlessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ), 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.34 'tc_nat', 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_lessequals'( 'c_Finite__Set_Ocard'( Y, Z ),
% 0.92/1.34 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Otop__class_Otop'( X )
% 0.92/1.34 ), 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.34 ) ), Y ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Fun_Osurj'( X, Y, Z ), ~( 'c_Fun_Obij'( X, Y, Z ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.92/1.34 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.92/1.34 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.92/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.34 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.92/1.34 , X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.34 , Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.34 , Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.92/1.34 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 0.92/1.34 [ ~( =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.34 , Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 Z ) ) ), =( Y, Z ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.34 ), =( Z, Y ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.34 ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.92/1.34 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.92/1.34 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.92/1.34 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.92/1.34 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), T
% 0.92/1.34 ) ), T ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.92/1.34 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.92/1.34 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.92/1.34 , X, 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.92/1.34 'tc_nat' ) ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.92/1.34 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_SetInterval_Oord__class_OlessThan'( X,
% 0.92/1.34 'tc_nat' ), 'tc_nat' ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.92/1.34 'c_in'( Y, X, T ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.92/1.34 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.92/1.34 'c_in'( Y, X, T ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.92/1.34 T, X, Z ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( T,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~(
% 0.92/1.34 hBOOL( 'c_in'( T, X, Z ) ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.92/1.34 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.92/1.34 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.92/1.34 , 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.92/1.34 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.34 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.92/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.34 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.34 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.92/1.34 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.92/1.34 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Oimage'(
% 0.92/1.34 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), X, Z, T ), Y, T, Z ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.92/1.34 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.92/1.34 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.34 [ 'c_Fun_Obij__betw'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, X
% 0.92/1.34 , T, Z ), ~( 'c_Fun_Obij__betw'( Y, X, U, Z, T ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 Z, T, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 T, Z, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.92/1.34 'c_lessequals'( Z, T, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 Z, T, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 T, Z, X ), X ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( Y, T ) ), ~( 'c_Fun_Obij'( X, Z, T ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.34 'c_Set_Ovimage'( Z, X, T, Y ), T ) ), ~( 'c_Fun_Obij'( Z, T, Y ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.92/1.34 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.92/1.34 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.92/1.34 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.92/1.34 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.34 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.34 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.92/1.34 X, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.92/1.34 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.92/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.92/1.34 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.92/1.34 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.92/1.34 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.92/1.34 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.92/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.34 [ 'c_Fun_Osurj'( 'c_Fun_Oid'( X ), X, X ) ],
% 0.92/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.92/1.34 X, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.92/1.34 ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.92/1.34 Z, Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.92/1.34 , ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.92/1.34 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.92/1.34 Y, X ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.92/1.34 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.92/1.34 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.34 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), X ), X ), X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.34 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.92/1.34 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.92/1.34 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.34 T, 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Set_Oinsert'( Y, Z, T ), T, U ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.92/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.92/1.34 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.92/1.34 Y, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.92/1.34 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), X ), 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.92/1.34 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.34 'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 0.92/1.34 , Y ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.34 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.92/1.34 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.34 ), ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.92/1.34 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.34 ) ) ), 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.92/1.34 , X ), X ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.92/1.34 , X ), X ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), U ), W, Z
% 0.92/1.34 ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.92/1.34 'c_in'( U, 'c_Set_Oimage'( Y, X, Z, T ), T ) ) ), ~( 'c_Fun_Oinj__on'( Y
% 0.92/1.34 , X, Z, T ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.92/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.92/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ) ),
% 0.92/1.34 Y ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.92/1.34 X ), Y ) ), Y ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.92/1.34 X ), Y ) ), Y ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.92/1.34 X ), Y ) ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.34 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.92/1.34 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.34 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.92/1.34 ) ],
% 0.92/1.34 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ),
% 0.92/1.34 ~( hBOOL( 'c_in'( U, X, Z ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'(
% 0.92/1.34 Y, X, Z, T ), hAPP( X, U ) ), U ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 , X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.92/1.34 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.92/1.34 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.92/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.92/1.34 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.92/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.34 ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.34 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 , X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.34 , X ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.92/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.92/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.92/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ), ~(
% 0.92/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_Fun_Obij__betw'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, V0, U, T ), ~(
% 0.92/1.34 'c_Fun_Obij__betw'( X, V1, V0, Z, T ) ), ~( 'c_Fun_Obij__betw'( Y, W, V1
% 0.92/1.34 , U, Z ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.92/1.34 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.92/1.34 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 'c_List_Osko__List__Xall__nat__less__eq__1__1'( X, Z ), Z, 'tc_nat' ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.92/1.34 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), X ) ),
% 0.92/1.34 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.92/1.34 [ =( hAPP( X, hAPP( Y, Z ) ), Z ), ~( 'c_Typedef_Otype__definition'( Y,
% 0.92/1.34 X, T, U, W ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~(
% 0.92/1.34 'c_Typedef_Otype__definition'( X, U, Z, W, T ) ) ],
% 0.92/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.92/1.34 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.34 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.92/1.34 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.92/1.34 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.92/1.34 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.92/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.92/1.34 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.92/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.92/1.34 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.92/1.34 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.92/1.34 [ =( hAPP( X, hAPP( 'c_Hilbert__Choice_Oinv__into'( Y, X, Z, T ), U ) )
% 0.92/1.34 , U ), ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ) ],
% 0.92/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.34 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.92/1.34 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.92/1.34 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.92/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.92/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ), 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, X ), X
% 0.92/1.34 , Y ), Z ), ~( 'c_Fun_Obij'( Z, Y, X ) ) ],
% 0.92/1.34 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.92/1.34 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.92/1.34 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.92/1.34 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( 't_a', X ) ), Y ), 'v_x' ),
% 0.92/1.34 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( Y, 'v_x' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.92/1.34 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.92/1.34 , 'v_x' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.92/1.34 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.92/1.34 'c_in'( X, T, Z ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.92/1.34 Z, 'c_Suc'( T ), 'tc_nat' ), 'tc_nat', X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 0.92/1.34 ), 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.92/1.34 , 'tc_bool' ) ), Z ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.92/1.34 , 'tc_bool' ) ), T ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U,
% 0.92/1.34 'tc_bool' ) ), ~( 'c_lessequals'( 'c_Set_Ovimage'( Y, X, T, U ), Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Osurj'( Y, T, U ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.92/1.34 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.92/1.34 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.92/1.34 X ), Y ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.92/1.34 X ), Y ) ), Y ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.92/1.34 X ) ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.92/1.34 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 0.92/1.34 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.92/1.34 ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.92/1.34 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 0.92/1.34 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 0.92/1.34 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 0.92/1.34 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 0.92/1.34 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.92/1.34 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 0.92/1.34 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.92/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.92/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.92/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.92/1.34 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.92/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.92/1.34 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 0.92/1.34 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.92/1.34 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 ) ), =( Y, Z ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 ) ), =( Y, Z ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.92/1.34 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.92/1.34 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.92/1.34 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.92/1.34 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.92/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.92/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.34 ), 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.34 ), 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ),
% 0.92/1.34 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.34 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), X ), 'tc_nat' ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.92/1.34 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.92/1.34 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.92/1.34 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.92/1.34 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.92/1.34 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.92/1.34 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, Y, Z, T ), U ), ~( 'c_Fun_Obij__betw'( X, Y, U,
% 0.92/1.34 Z, T ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.92/1.34 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.92/1.34 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, Z, T ),
% 0.92/1.34 'c_Set_Oimage'( X, Y, Z, T ) ) ],
% 0.92/1.34 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.92/1.34 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.92/1.34 ) ), Z, X ) ) ],
% 0.92/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.92/1.34 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.92/1.34 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.92/1.34 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.92/1.34 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.92/1.34 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'c_Set_Oimage'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ),
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ), T
% 0.92/1.34 , Z, Y ), Y, Z ), T ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ), T ),
% 0.92/1.34 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z ) )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 X ) ) ],
% 0.92/1.34 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), X ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.92/1.34 X, 'tc_bool' ) ), Y ) ],
% 0.92/1.34 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.92/1.34 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.92/1.34 ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T
% 0.92/1.34 ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.34 Y, Z ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.92/1.34 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.92/1.34 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.92/1.34 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.92/1.34 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 0.92/1.34 hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z,
% 0.92/1.34 Y, X, T, U ), Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 0.92/1.34 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), hBOOL(
% 0.92/1.34 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z
% 0.92/1.34 , T ), Y, Z ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 0.92/1.34 hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z,
% 0.92/1.34 Y, X, T, U ), Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 0.92/1.34 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), hBOOL(
% 0.92/1.34 'c_in'( 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z
% 0.92/1.34 , T ), Y, Z ) ) ],
% 0.92/1.34 [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ),
% 0.92/1.34 ~( hBOOL( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_Finite__Set_Osetsum'(
% 0.92/1.34 'c_Fun_Oid'( X ), 'c_Set_Oimage'( Y, Z, T, X ), X, X ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( Y, Z, T, X ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ), U, T,
% 0.92/1.34 Z ), ~( 'c_lessequals'( U, 'c_Set_Oimage'( Y, X, Z, T ), 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.92/1.34 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.92/1.34 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.92/1.34 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.92/1.34 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.92/1.34 , W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'( X, Y, Z, T ),
% 0.92/1.34 'c_Set_Oimage'( Y, U, Z, T ), T, Z ), U ), ~( 'c_lessequals'( U, X,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 0.92/1.34 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.92/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.92/1.34 'c_in'( X, Y, Z ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.92/1.34 Y, X ), Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 T, X ), Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.92/1.34 Y, X ), Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 T, X ), Z, X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.92/1.34 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.92/1.34 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.34 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.92/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.92/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.92/1.34 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.92/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.92/1.34 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.92/1.34 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.92/1.34 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.92/1.34 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.92/1.34 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.92/1.34 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.92/1.34 , X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.34 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.92/1.34 , X ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_FuncSet_Orestrict'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.92/1.34 hBOOL( 'c_in'( U, Y, Z ) ) ) ],
% 0.92/1.34 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.34 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'(
% 0.92/1.34 X, Y, Z ), Z ), 'c_Suc'( 'c_Finite__Set_Ocard'( Y, Z ) ) ), =(
% 0.92/1.34 'c_Finite__Set_Ocard'( Y, Z ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.92/1.34 X, Z, T ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.92/1.34 X, Z, T ) ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~(
% 0.92/1.34 hBOOL( 'c_in'( Y, X, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), W
% 0.92/1.34 , U ), V0 ), hAPP( 'c_Fun_Ocomp'( 'c_Fun_Othe__inv__into'( X, Z, W, T ),
% 0.92/1.34 'c_Fun_Othe__inv__into'( 'c_Set_Oimage'( Z, X, W, T ), Y, T, U ), T, W, U
% 0.92/1.34 ), V0 ) ), ~( hBOOL( 'c_in'( V0, 'c_Set_Oimage'( Y, 'c_Set_Oimage'( Z, X
% 0.92/1.34 , W, T ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( Z, X, W, T ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( Y, 'c_Set_Oimage'( Z, X, W, T ), T, U ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.92/1.34 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X
% 0.92/1.34 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.92/1.34 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.92/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.92/1.34 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.92/1.34 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.92/1.34 ~( 'c_lessequals'( X, hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.92/1.34 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.92/1.34 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.92/1.34 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.92/1.34 , V4 ), W ) ) ],
% 0.92/1.34 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.92/1.34 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.92/1.34 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.92/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.92/1.34 X, T, U ), Z ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.92/1.34 hAPP( X, U ) ) ) ) ],
% 0.92/1.34 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.92/1.34 'c_Finite__Set_Ocard'( X, Z ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.92/1.34 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.92/1.34 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.92/1.34 hAPP( X, T ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.92/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.92/1.34 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.92/1.34 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.34 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.34 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.34 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.34 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.92/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.34 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.34 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.92/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.92/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.92/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.34 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.34 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.92/1.34 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.92/1.34 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Fun_Obij'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 0.92/1.34 , X ), ~( 'c_Fun_Obij'( Y, X, Z ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 Y ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.92/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 0.92/1.34 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.92/1.34 ), X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.92/1.34 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.92/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.92/1.34 Y, Z, X ) ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.92/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.92/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 0.92/1.34 Y, Z, X, T, U ) ), hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.92/1.34 ) ), ~( =( hAPP( X, hAPP( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 0.92/1.34 ), hAPP( X, hAPP( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.92/1.34 ) ) ), 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Z, Y, T, T ), T, U ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, Y, T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'(
% 0.92/1.34 Y, Z, X, T, U ) ), hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.92/1.34 ) ), ~( =( hAPP( X, hAPP( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, Z, X, T, U ) )
% 0.92/1.34 ), hAPP( X, hAPP( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, Z, X, T, U ) )
% 0.92/1.34 ) ) ), 'c_Fun_Oinj__on'( X, Y, T, U ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Set_Oimage'( Z, Y, T, T ), T, U ) ), ~( 'c_Fun_Oinj__on'( Z, Y, T, T )
% 0.92/1.34 ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, T ), T, U ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, Z, T, U ) ), ~( 'c_Fun_Oinj__on'( Y, Z, T, T ) ),
% 0.92/1.34 =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y,
% 0.92/1.34 X, T, U ) ), hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T, U ) )
% 0.92/1.34 ), =( hAPP( X, hAPP( Y,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Z, Y, X, T, U ) )
% 0.92/1.34 ), hAPP( X, hAPP( Y,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Z, Y, X, T, U ) )
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'(
% 0.92/1.34 U, Y, Z, Z ), Z, T ) ), ~( 'c_Fun_Oinj__on'( U, Y, Z, Z ) ), =( hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 0.92/1.34 , hAPP( X, 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X
% 0.92/1.34 , Z, T ) ) ), =( hAPP( X, hAPP( U,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1'( Y, U, X, Z, T ) )
% 0.92/1.34 ), hAPP( X, hAPP( U,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2'( Y, U, X, Z, T ) )
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oimage'( Z, T, U, W ), W, X ),
% 0.92/1.34 'c_Finite__Set_Osetsum'( 'c_Fun_Ocomp'( Y, Z, W, X, U ), T, U, X ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( Z, T, U, W ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.92/1.34 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.92/1.34 Z, T ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~(
% 0.92/1.34 'c_lessequals'( 'c_Set_Oimage'( U, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.92/1.34 ) ), ~( 'c_Fun_Oinj__on'( U, X, Y, T ) ) ],
% 0.92/1.34 [ =( 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y, T ), Y
% 0.92/1.34 , U, T ), Z, T, U, Y ), X ), ~( 'c_Fun_Oinj__on'( Z,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, T ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, hAPP(
% 0.92/1.34 'c_Hilbert__Choice_Oinv__into'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ), T, Z, U ),
% 0.92/1.34 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, T, Z, U )
% 0.92/1.34 ) ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.92/1.34 [ =( 'c_List_Omap'( X, 'c_List_OremoveAll'( Y, Z, T ), T, U ),
% 0.92/1.34 'c_List_OremoveAll'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ),
% 0.92/1.34 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T, U ) ) ],
% 0.92/1.34 [ ~( =( hAPP( X, hAPP( Y,
% 0.92/1.34 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1'( X, Y, Z
% 0.92/1.34 , T ) ) ),
% 0.92/1.34 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1'( X, Y, Z
% 0.92/1.34 , T ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), X, Z, T ), Y
% 0.92/1.34 ) ],
% 0.92/1.34 [ 'c_Fun_Osurj'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), Z
% 0.92/1.34 , X ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.92/1.34 X, 'tc_bool' ) ), X, Z ) ) ],
% 0.92/1.34 [ ~( =( 'c_ATP__Linkup_Osko__Fun__XinjI__1__1'( X, Y, Z ),
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__XinjI__1__2'( X, Y, Z ) ) ), 'c_Fun_Oinj__on'(
% 0.92/1.34 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ), =( hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1'( X, Y, Z ) ), hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2'( X, Y, Z ) ) ) ],
% 0.92/1.34 [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1'( X, Y, Z ),
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2'( X, Y, Z ) ) ),
% 0.92/1.34 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ), =( hAPP( X, 'c_ATP__Linkup_Osko__Fun__XinjI__1__1'(
% 0.92/1.34 X, Y, Z ) ), hAPP( X, 'c_ATP__Linkup_Osko__Fun__XinjI__1__2'( X, Y, Z ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ 'c_Fun_Obij'( X, Y, Z ), ~( 'c_Fun_Osurj'( X, Y, Z ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ) ) ],
% 0.92/1.34 [ 'c_Fun_Obij'( X, Y, Z ), ~( 'c_Fun_Osurj'( X, Y, Z ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Y ), ~( 'c_Fun_Osurj'( X, Y, Y ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ],
% 0.92/1.34 [ 'c_Fun_Osurj'( X, Y, Y ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Y ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, X ), ~(
% 0.92/1.34 'c_Fun_Osurj'( Y, X, Z ) ) ],
% 0.92/1.34 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.92/1.34 'c_Fun_Obij__betw'( U, X, Z, Y, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, Z, T ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'(
% 0.92/1.34 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( 'c_Fun_Oid'( X ), Y, X, X ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ) ],
% 0.92/1.34 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.92/1.34 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.92/1.34 U, W ) ) ],
% 0.92/1.34 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.92/1.34 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.92/1.34 =( Y, Z ) ],
% 0.92/1.34 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.92/1.34 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.92/1.34 =( Y, Z ) ],
% 0.92/1.34 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.92/1.34 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.92/1.34 , U ) ) ) ],
% 0.92/1.34 [ ~( =( hAPP( X, hAPP( Y,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1'( Z, Y, X, T, U ) ) )
% 0.92/1.34 , 'c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1'( Z, Y, X, T, U ) )
% 0.92/1.34 ), 'c_Fun_Oinj__on'( Y, Z, T, U ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Obij__betw'( X, Y, U, Z, T )
% 0.92/1.34 ) ],
% 0.92/1.34 [ 'c_Fun_Obij__betw'(
% 0.92/1.34 'c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1'( X, Y ), X
% 0.92/1.34 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ),
% 0.92/1.34 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Fun_Obij__betw'(
% 0.92/1.34 'c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1'( X, Y ),
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' ), X, 'tc_nat', Y ),
% 0.92/1.34 ~( 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X,
% 0.92/1.34 'c_List_Osko__List__Xall__nat__less__eq__1__1'( X, Z ) ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, 'c_List_Osko__List__Xex__nat__less__eq__1__2'( X, Y )
% 0.92/1.34 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z,
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.92/1.34 X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 0.92/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.92/1.34 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), X ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_Suc'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 0.92/1.34 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP(
% 0.92/1.34 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), Y, T ),
% 0.92/1.34 hAPP( 'c_HOL_Ouminus__class_Ouminus'( 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Set_Oimage'( X, Z, Y, T ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, T ) ) ],
% 0.92/1.34 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.92/1.34 ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z, T ) ), =( Y,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( hAPP( X, Y ), X, T, Z )
% 0.92/1.34 ) ],
% 0.92/1.34 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( X, Y
% 0.92/1.34 , Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Set_Oimage'( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ), Z ) )
% 0.92/1.34 ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T, Z ) ) ],
% 0.92/1.34 [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, Y ),
% 0.92/1.34 X, Y, Z, T ), Y ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ),
% 0.92/1.34 hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ), Z ) )
% 0.92/1.34 ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, Z, T, U )
% 0.92/1.34 , 'c_Set_Oimage'( Z, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( Z,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ) ), hBOOL( 'c_in'( hAPP( X, T ), 'c_Set_Oimage'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), Z ) )
% 0.92/1.34 , =( hAPP( X, T ), hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, T ), X, T, Z,
% 0.92/1.34 Y ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 0.92/1.34 ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 0.92/1.34 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi' ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.92/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.92/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.92/1.34 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.92/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.92/1.34 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.92/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.92/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.92/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.92/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.92/1.34 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.92/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.92/1.34 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.92/1.34 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 0.92/1.34 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.92/1.34 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ), T ), ~( 'c_Typedef_Otype__definition'( X, U, T, Y
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Typedef_Otype__definition'( U, X, Y,
% 0.92/1.34 T, Z ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 0.92/1.34 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_Fun_Osurj'( X, Y, Z ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.92/1.34 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.92/1.34 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.92/1.34 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ),
% 0.92/1.34 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), X ), ~( 'c_Fun_Oinj__on'( Y, X, Z,
% 0.92/1.34 T ) ) ],
% 0.92/1.34 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), 'c_Fun_Obij__betw'( X, Y,
% 0.92/1.34 'c_Set_Oimage'( X, Y, Z, T ), Z, T ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.92/1.34 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ),
% 0.92/1.34 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.92/1.34 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ) ), =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), X, Y, Z ),
% 0.92/1.34 hAPP( X, T ) ), T ) ],
% 0.92/1.34 [ =( hAPP( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.92/1.34 hAPP( Y, T ) ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 0.92/1.34 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.92/1.34 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 0.92/1.34 =( Y, U ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.92/1.34 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), Y, Z ), ~( 'c_Fun_Obij'( X, Y, Z ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.92/1.34 'tc_bool' ) ), X, Z ) ) ],
% 0.92/1.34 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X,
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.92/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.92/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 0.92/1.34 'c_SetInterval_Oord__class_OlessThan'( X, 'tc_nat' ) ) ],
% 0.92/1.34 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.92/1.34 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 0.92/1.34 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.92/1.34 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( X, Y, T, U
% 0.92/1.34 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T, U ) ) ],
% 0.92/1.34 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.92/1.34 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z, T ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.92/1.34 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.34 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.92/1.34 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.92/1.34 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.92/1.34 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T, U ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.92/1.34 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Set_Oimage'( 'c_Hilbert__Choice_Oinv__into'(
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.92/1.34 'c_Set_Oimage'( Y, T, X, Z ), Z, X ), T ), ~( 'c_Fun_Oinj__on'( Y,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, Z ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.92/1.34 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 0.92/1.34 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.92/1.34 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.92/1.34 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 0.92/1.34 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 0.92/1.34 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.92/1.34 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( =( 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat' ),
% 0.92/1.34 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.92/1.34 'tc_nat' ), 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'(
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_nat' ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.92/1.34 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat' ) ), 'v_thesis____' ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.92/1.34 ), Y ) ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.92/1.34 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.92/1.34 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.92/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.92/1.34 Y, Z ) ],
% 0.92/1.34 [ ~( 'v_thesis____' ) ],
% 0.92/1.34 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.92/1.34 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.92/1.34 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.92/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.92/1.34 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.92/1.34 Y ) ) ],
% 0.92/1.34 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.92/1.34 Y ) ) ],
% 0.92/1.34 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.92/1.34 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.92/1.34 [ 'c_fequal'( X, X, Y ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.92/1.34 ] .
% 0.92/1.34
% 0.92/1.34
% 0.92/1.34 percentage equality = 0.270237, percentage horn = 0.911444
% 0.92/1.34 This is a problem with some equality
% 0.92/1.34
% 0.92/1.34
% 0.92/1.34
% 0.92/1.34 Options Used:
% 0.92/1.34
% 0.92/1.34 useres = 1
% 0.92/1.34 useparamod = 1
% 0.92/1.34 useeqrefl = 1
% 0.92/1.34 useeqfact = 1
% 0.92/1.34 usefactor = 1
% 0.92/1.34 usesimpsplitting = 0
% 0.92/1.34 usesimpdemod = 5
% 0.92/1.34 usesimpres = 3
% 0.92/1.34
% 0.92/1.34 resimpinuse = 1000
% 0.92/1.34 resimpclauses = 20000
% 0.92/1.34 substype = eqrewr
% 0.92/1.34 backwardsubs = 1
% 0.92/1.34 selectoldest = 5
% 0.92/1.34
% 0.92/1.34 litorderings [0] = split
% 0.92/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.92/1.34
% 0.92/1.34 termordering = kbo
% 0.92/1.34
% 0.92/1.34 litapriori = 0
% 0.92/1.34 termapriori = 1
% 0.92/1.34 litaposteriori = 0
% 0.92/1.34 termaposteriori = 0
% 0.92/1.34 demodaposteriori = 0
% 0.92/1.34 ordereqreflfact = 0
% 0.92/1.34
% 0.92/1.34 litselect = negord
% 0.92/1.34
% 0.92/1.34 maxweight = 15
% 0.92/1.34 maxdepth = 30000
% 0.92/1.34 maxlength = 115
% 0.92/1.34 maxnrvars = 195
% 0.92/1.34 excuselevel = 1
% 0.92/1.34 increasemaxweight = 1
% 0.92/1.34
% 0.92/1.34 maxselected = 10000000
% 0.92/1.34 maxnrclauses = 10000000
% 0.92/1.34
% 0.92/1.34 showgenerated = 0
% 0.92/1.34 showkept = 0
% 0.92/1.34 showselected = 0
% 0.92/1.34 showdeleted = 0
% 0.92/1.34 showresimp = 1
% 0.92/1.34 showstatus = 2000
% 0.92/1.34
% 0.92/1.34 prologoutput = 1
% 0.92/1.34 nrgoals = 5000000
% 0.92/1.34 totalproof = 1
% 0.92/1.34
% 0.92/1.34 Symbols occurring in the translation:
% 0.92/1.34
% 0.92/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.92/1.34 . [1, 2] (w:1, o:116, a:1, s:1, b:0),
% 0.92/1.34 ! [4, 1] (w:0, o:68, a:1, s:1, b:0),
% 0.92/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.34 'c_Suc' [41, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.92/1.34 'tc_nat' [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.92/1.34 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.92/1.34 'c_lessequals' [44, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.92/1.34 'tc_bool' [47, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.92/1.34 'tc_fun' [48, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.92/1.34 'c_Orderings_Otop__class_Otop' [49, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.92/1.34 'c_Hilbert__Choice_Oinv__into' [51, 4] (w:1, o:169, a:1, s:1, b:0),
% 0.92/1.34 'c_Fun_Ocomp' [52, 5] (w:1, o:181, a:1, s:1, b:0),
% 0.92/1.34 'c_Fun_Oid' [53, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.92/1.34 'c_Fun_Osurj' [54, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.92/1.34 'class_Lattices_Odistrib__lattice' [55, 1] (w:1, o:76, a:1, s:1, b:0)
% 0.92/1.34 ,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup' [58, 3] (w:1, o:155, a:1
% 0.92/1.34 , s:1, b:0),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf' [60, 3] (w:1, o:156, a:1
% 0.92/1.34 , s:1, b:0),
% 0.92/1.34 'class_Lattices_Olattice' [64, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.92/1.34 't_a' [66, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.92/1.34 'v_x' [67, 0] (w:1, o:35, a:1, s:1, b:0),
% 2.55/2.94 hAPP [68, 2] (w:1, o:142, a:1, s:1, b:0),
% 2.55/2.94 'c_Orderings_Obot__class_Obot' [69, 1] (w:1, o:78, a:1, s:1, b:0),
% 2.55/2.94 'c_HOL_Ominus__class_Ominus' [70, 3] (w:1, o:157, a:1, s:1, b:0),
% 2.55/2.94 'c_Set_Oinsert' [73, 3] (w:1, o:158, a:1, s:1, b:0),
% 2.55/2.94 'c_in' [74, 3] (w:1, o:159, a:1, s:1, b:0),
% 2.55/2.94 hBOOL [75, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.55/2.94 'c_Set_Oimage' [76, 4] (w:1, o:170, a:1, s:1, b:0),
% 2.55/2.94 'c_Finite__Set_Ofinite' [77, 2] (w:1, o:143, a:1, s:1, b:0),
% 2.55/2.94 'class_Orderings_Olinorder' [78, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.55/2.94 'class_OrderedGroup_Olordered__ab__group__add' [79, 1] (w:1, o:82, a:
% 2.55/2.94 1, s:1, b:0),
% 2.55/2.94 'c_HOL_Ouminus__class_Ouminus' [80, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.55/2.94 'c_HOL_Ozero__class_Ozero' [81, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.55/2.94 'class_Orderings_Oorder' [82, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.55/2.94 'c_SetInterval_Oord__class_OatLeastLessThan' [84, 3] (w:1, o:160, a:1
% 2.55/2.94 , s:1, b:0),
% 2.55/2.94 'class_OrderedGroup_Opordered__ab__group__add' [86, 1] (w:1, o:87, a:
% 2.55/2.94 1, s:1, b:0),
% 2.55/2.94 'class_Ring__and__Field_Oordered__semidom' [87, 1] (w:1, o:90, a:1
% 2.55/2.94 , s:1, b:0),
% 2.55/2.94 'c_Nat_Osemiring__1__class_Oof__nat' [88, 2] (w:1, o:144, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'class_Orderings_Obot' [89, 1] (w:1, o:91, a:1, s:1, b:0),
% 2.55/2.94 'class_Lattices_Oboolean__algebra' [91, 1] (w:1, o:92, a:1, s:1, b:0)
% 2.55/2.94 ,
% 2.55/2.94 'c_Power_Opower__class_Opower' [92, 3] (w:1, o:161, a:1, s:1, b:0),
% 2.55/2.94 'class_OrderedGroup_Oordered__ab__group__add' [93, 1] (w:1, o:86, a:1
% 2.55/2.94 , s:1, b:0),
% 2.55/2.94 'c_Fun_Oinj__on' [94, 4] (w:1, o:171, a:1, s:1, b:0),
% 2.55/2.94 'c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1' [95, 5] (w:1, o:
% 2.55/2.94 184, a:1, s:1, b:0),
% 2.55/2.94 'c_Fun_Obij' [97, 3] (w:1, o:162, a:1, s:1, b:0),
% 2.55/2.94 'c_Set_Ovimage' [98, 4] (w:1, o:172, a:1, s:1, b:0),
% 2.55/2.94 'class_Ring__and__Field_Osemiring__0' [99, 1] (w:1, o:95, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'class_Power_Opower' [100, 1] (w:1, o:101, a:1, s:1, b:0),
% 2.55/2.94 'c_Typedef_Otype__definition' [103, 5] (w:1, o:185, a:1, s:1, b:0),
% 2.55/2.94 'class_Complete__Lattice_Ocomplete__lattice' [104, 1] (w:1, o:102, a:
% 2.55/2.94 1, s:1, b:0),
% 2.55/2.94 'c_Complete__Lattice_OSup__class_OSup' [105, 2] (w:1, o:145, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'class_HOL_Oord' [106, 1] (w:1, o:103, a:1, s:1, b:0),
% 2.55/2.94 'c_SetInterval_Oord__class_OlessThan' [109, 2] (w:1, o:146, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'class_OrderedGroup_Oab__group__add' [111, 1] (w:1, o:96, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'c_Finite__Set_Osetsum' [112, 4] (w:1, o:173, a:1, s:1, b:0),
% 2.55/2.94 'class_Ring__and__Field_Oring' [113, 1] (w:1, o:93, a:1, s:1, b:0),
% 2.55/2.94 'class_Lattices_Oupper__semilattice' [114, 1] (w:1, o:104, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'class_Orderings_Opreorder' [115, 1] (w:1, o:97, a:1, s:1, b:0),
% 2.55/2.94 'c_Finite__Set_Ocard' [116, 2] (w:1, o:147, a:1, s:1, b:0),
% 2.55/2.94 'c_FuncSet_Orestrict' [117, 4] (w:1, o:174, a:1, s:1, b:0),
% 2.55/2.94 'c_Fun_Obij__betw' [118, 5] (w:1, o:180, a:1, s:1, b:0),
% 2.55/2.94 'c_COMBB' [122, 5] (w:1, o:186, a:1, s:1, b:0),
% 2.55/2.94 'c_COMBI' [124, 1] (w:1, o:105, a:1, s:1, b:0),
% 2.55/2.94 'c_Fun_Othe__inv__into' [126, 4] (w:1, o:175, a:1, s:1, b:0),
% 2.55/2.94 'c_List_Omap' [130, 4] (w:1, o:176, a:1, s:1, b:0),
% 2.55/2.94 'class_Lattices_Olower__semilattice' [131, 1] (w:1, o:106, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'class_Lattices_Obounded__lattice' [133, 1] (w:1, o:107, a:1, s:1, b:
% 2.55/2.94 0),
% 2.55/2.94 'c_List_Osko__List__Xex__nat__less__eq__1__2' [134, 2] (w:1, o:148
% 2.55/2.94 , a:1, s:1, b:0),
% 2.55/2.94 'class_Nat_Osemiring__char__0' [137, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.55/2.94 'class_OrderedGroup_Ocomm__monoid__add' [144, 1] (w:1, o:98, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'class_OrderedGroup_Ogroup__add' [146, 1] (w:1, o:99, a:1, s:1, b:0)
% 2.55/2.94 ,
% 2.55/2.94 'class_Ring__and__Field_Oordered__idom' [147, 1] (w:1, o:108, a:1, s:
% 2.55/2.94 1, b:0),
% 2.55/2.94 'class_HOL_Ominus' [148, 1] (w:1, o:109, a:1, s:1, b:0),
% 2.55/2.94 'class_Finite__Set_Ofinite_Ofinite' [149, 1] (w:1, o:110, a:1, s:1
% 2.55/2.94 , b:0),
% 2.55/2.94 'c_List_Osko__List__Xall__nat__less__eq__1__1' [151, 2] (w:1, o:149
% 2.55/2.94 , a:1, s:1, b:0),
% 2.55/2.94 'class_HOL_Ouminus' [153, 1] (w:1, o:111, a:1, s:1, b:0),
% 15.95/16.36 'class_Ring__and__Field_Ozero__neq__one' [154, 1] (w:1, o:112, a:1
% 15.95/16.36 , s:1, b:0),
% 15.95/16.36 'class_Ring__and__Field_Ono__zero__divisors' [155, 1] (w:1, o:89, a:1
% 15.95/16.36 , s:1, b:0),
% 15.95/16.36 'class_Ring__and__Field_Omult__zero' [156, 1] (w:1, o:88, a:1, s:1
% 15.95/16.36 , b:0),
% 15.95/16.36 'class_Ring__and__Field_Oring__1__no__zero__divisors' [157, 1] (w:1
% 15.95/16.36 , o:94, a:1, s:1, b:0),
% 15.95/16.36 'class_Ring__and__Field_Oidom' [158, 1] (w:1, o:113, a:1, s:1, b:0),
% 15.95/16.36
% 15.95/16.36 'class_Int_Onumber__ring' [159, 1] (w:1, o:114, a:1, s:1, b:0),
% 15.95/16.36 'class_Orderings_Otop' [161, 1] (w:1, o:100, a:1, s:1, b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1' [162, 5] (w:1
% 15.95/16.36 , o:182, a:1, s:1, b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2' [163, 5] (w:1
% 15.95/16.36 , o:183, a:1, s:1, b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1' [168, 4]
% 15.95/16.36 (w:1, o:177, a:1, s:1, b:0),
% 15.95/16.36 'c_List_OremoveAll' [169, 3] (w:1, o:163, a:1, s:1, b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1' [170, 4
% 15.95/16.36 ] (w:1, o:178, a:1, s:1, b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Fun__XinjI__1__1' [171, 3] (w:1, o:164, a:1, s:1
% 15.95/16.36 , b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Fun__XinjI__1__2' [172, 3] (w:1, o:165, a:1, s:1
% 15.95/16.36 , b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1' [173, 3] (w:1, o:166
% 15.95/16.36 , a:1, s:1, b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2' [174, 3] (w:1, o:167
% 15.95/16.36 , a:1, s:1, b:0),
% 15.95/16.36 'c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1' [176, 2
% 15.95/16.36 ] (w:1, o:150, a:1, s:1, b:0),
% 15.95/16.36 'c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1' [177, 2
% 15.95/16.36 ] (w:1, o:151, a:1, s:1, b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1' [178, 4] (w:1, o:179
% 15.95/16.36 , a:1, s:1, b:0),
% 15.95/16.36 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2' [179, 5] (w:1, o:187
% 15.95/16.36 , a:1, s:1, b:0),
% 15.95/16.36 'tc_Arrow__Order__Mirabelle_Oindi' [180, 0] (w:1, o:64, a:1, s:1, b:0
% 15.95/16.36 ),
% 15.95/16.36 'class_Ring__and__Field_Osemiring__1' [181, 1] (w:1, o:115, a:1, s:1
% 15.95/16.36 , b:0),
% 15.95/16.36 'v_thesis____' [184, 0] (w:1, o:65, a:1, s:1, b:0),
% 15.95/16.36 'c_fequal' [187, 3] (w:1, o:168, a:1, s:1, b:0).
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Starting Search:
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 3824
% 15.95/16.36 Kept: 2007
% 15.95/16.36 Inuse: 164
% 15.95/16.36 Deleted: 4
% 15.95/16.36 Deletedinuse: 0
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 9220
% 15.95/16.36 Kept: 4134
% 15.95/16.36 Inuse: 270
% 15.95/16.36 Deleted: 6
% 15.95/16.36 Deletedinuse: 0
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 16781
% 15.95/16.36 Kept: 6333
% 15.95/16.36 Inuse: 375
% 15.95/16.36 Deleted: 15
% 15.95/16.36 Deletedinuse: 9
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 25641
% 15.95/16.36 Kept: 8335
% 15.95/16.36 Inuse: 479
% 15.95/16.36 Deleted: 17
% 15.95/16.36 Deletedinuse: 9
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 35177
% 15.95/16.36 Kept: 10366
% 15.95/16.36 Inuse: 638
% 15.95/16.36 Deleted: 27
% 15.95/16.36 Deletedinuse: 14
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 45029
% 15.95/16.36 Kept: 12443
% 15.95/16.36 Inuse: 707
% 15.95/16.36 Deleted: 29
% 15.95/16.36 Deletedinuse: 15
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 58677
% 15.95/16.36 Kept: 15432
% 15.95/16.36 Inuse: 731
% 15.95/16.36 Deleted: 36
% 15.95/16.36 Deletedinuse: 15
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 67052
% 15.95/16.36 Kept: 17434
% 15.95/16.36 Inuse: 805
% 15.95/16.36 Deleted: 39
% 15.95/16.36 Deletedinuse: 15
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 78077
% 15.95/16.36 Kept: 19443
% 15.95/16.36 Inuse: 866
% 15.95/16.36 Deleted: 40
% 15.95/16.36 Deletedinuse: 15
% 15.95/16.36
% 15.95/16.36 Resimplifying clauses:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 87440
% 15.95/16.36 Kept: 21501
% 15.95/16.36 Inuse: 931
% 15.95/16.36 Deleted: 944
% 15.95/16.36 Deletedinuse: 15
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 98579
% 15.95/16.36 Kept: 23572
% 15.95/16.36 Inuse: 1006
% 15.95/16.36 Deleted: 944
% 15.95/16.36 Deletedinuse: 15
% 15.95/16.36
% 15.95/16.36 Resimplifying inuse:
% 15.95/16.36 Done
% 15.95/16.36
% 15.95/16.36
% 15.95/16.36 Intermediate Status:
% 15.95/16.36 Generated: 110483
% 42.26/42.65 Kept: 26879
% 42.26/42.65 Inuse: 1051
% 42.26/42.65 Deleted: 946
% 42.26/42.65 Deletedinuse: 17
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 122532
% 42.26/42.65 Kept: 30020
% 42.26/42.65 Inuse: 1066
% 42.26/42.65 Deleted: 946
% 42.26/42.65 Deletedinuse: 17
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 138884
% 42.26/42.65 Kept: 33371
% 42.26/42.65 Inuse: 1121
% 42.26/42.65 Deleted: 947
% 42.26/42.65 Deletedinuse: 18
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 155102
% 42.26/42.65 Kept: 35377
% 42.26/42.65 Inuse: 1133
% 42.26/42.65 Deleted: 951
% 42.26/42.65 Deletedinuse: 22
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 179649
% 42.26/42.65 Kept: 38303
% 42.26/42.65 Inuse: 1146
% 42.26/42.65 Deleted: 951
% 42.26/42.65 Deletedinuse: 22
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 197313
% 42.26/42.65 Kept: 40632
% 42.26/42.65 Inuse: 1156
% 42.26/42.65 Deleted: 951
% 42.26/42.65 Deletedinuse: 22
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying clauses:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 209903
% 42.26/42.65 Kept: 42641
% 42.26/42.65 Inuse: 1172
% 42.26/42.65 Deleted: 1223
% 42.26/42.65 Deletedinuse: 22
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 220295
% 42.26/42.65 Kept: 44644
% 42.26/42.65 Inuse: 1193
% 42.26/42.65 Deleted: 1224
% 42.26/42.65 Deletedinuse: 23
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 239381
% 42.26/42.65 Kept: 47498
% 42.26/42.65 Inuse: 1231
% 42.26/42.65 Deleted: 1224
% 42.26/42.65 Deletedinuse: 23
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 247882
% 42.26/42.65 Kept: 49548
% 42.26/42.65 Inuse: 1241
% 42.26/42.65 Deleted: 1224
% 42.26/42.65 Deletedinuse: 23
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 257634
% 42.26/42.65 Kept: 51569
% 42.26/42.65 Inuse: 1281
% 42.26/42.65 Deleted: 1224
% 42.26/42.65 Deletedinuse: 23
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 267056
% 42.26/42.65 Kept: 53752
% 42.26/42.65 Inuse: 1336
% 42.26/42.65 Deleted: 1224
% 42.26/42.65 Deletedinuse: 23
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 279307
% 42.26/42.65 Kept: 55753
% 42.26/42.65 Inuse: 1379
% 42.26/42.65 Deleted: 1228
% 42.26/42.65 Deletedinuse: 25
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 290775
% 42.26/42.65 Kept: 57960
% 42.26/42.65 Inuse: 1422
% 42.26/42.65 Deleted: 1232
% 42.26/42.65 Deletedinuse: 27
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 302739
% 42.26/42.65 Kept: 62035
% 42.26/42.65 Inuse: 1433
% 42.26/42.65 Deleted: 1232
% 42.26/42.65 Deletedinuse: 27
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying clauses:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 310644
% 42.26/42.65 Kept: 64080
% 42.26/42.65 Inuse: 1446
% 42.26/42.65 Deleted: 1759
% 42.26/42.65 Deletedinuse: 30
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 326872
% 42.26/42.65 Kept: 66212
% 42.26/42.65 Inuse: 1469
% 42.26/42.65 Deleted: 1766
% 42.26/42.65 Deletedinuse: 35
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 338277
% 42.26/42.65 Kept: 68256
% 42.26/42.65 Inuse: 1509
% 42.26/42.65 Deleted: 1766
% 42.26/42.65 Deletedinuse: 35
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 353771
% 42.26/42.65 Kept: 70278
% 42.26/42.65 Inuse: 1534
% 42.26/42.65 Deleted: 1770
% 42.26/42.65 Deletedinuse: 39
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 369862
% 42.26/42.65 Kept: 72284
% 42.26/42.65 Inuse: 1562
% 42.26/42.65 Deleted: 1817
% 42.26/42.65 Deletedinuse: 44
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 403726
% 42.26/42.65 Kept: 76681
% 42.26/42.65 Inuse: 1564
% 42.26/42.65 Deleted: 1825
% 42.26/42.65 Deletedinuse: 44
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 439108
% 42.26/42.65 Kept: 80960
% 42.26/42.65 Inuse: 1565
% 42.26/42.65 Deleted: 1829
% 42.26/42.65 Deletedinuse: 44
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying clauses:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 448917
% 42.26/42.65 Kept: 83246
% 42.26/42.65 Inuse: 1576
% 42.26/42.65 Deleted: 2563
% 42.26/42.65 Deletedinuse: 45
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 458730
% 42.26/42.65 Kept: 85252
% 42.26/42.65 Inuse: 1606
% 42.26/42.65 Deleted: 2563
% 42.26/42.65 Deletedinuse: 45
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 42.26/42.65 Done
% 42.26/42.65
% 42.26/42.65
% 42.26/42.65 Intermediate Status:
% 42.26/42.65 Generated: 470642
% 42.26/42.65 Kept: 87592
% 42.26/42.65 Inuse: 1621
% 42.26/42.65 Deleted: 2563
% 42.26/42.65 Deletedinuse: 45
% 42.26/42.65
% 42.26/42.65 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 485201
% 96.08/96.51 Kept: 89711
% 96.08/96.51 Inuse: 1666
% 96.08/96.51 Deleted: 2564
% 96.08/96.51 Deletedinuse: 46
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 498647
% 96.08/96.51 Kept: 91814
% 96.08/96.51 Inuse: 1701
% 96.08/96.51 Deleted: 2564
% 96.08/96.51 Deletedinuse: 46
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 512033
% 96.08/96.51 Kept: 93830
% 96.08/96.51 Inuse: 1733
% 96.08/96.51 Deleted: 2568
% 96.08/96.51 Deletedinuse: 49
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 524236
% 96.08/96.51 Kept: 95895
% 96.08/96.51 Inuse: 1765
% 96.08/96.51 Deleted: 2568
% 96.08/96.51 Deletedinuse: 49
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 538693
% 96.08/96.51 Kept: 97895
% 96.08/96.51 Inuse: 1798
% 96.08/96.51 Deleted: 2574
% 96.08/96.51 Deletedinuse: 50
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 553174
% 96.08/96.51 Kept: 100587
% 96.08/96.51 Inuse: 1825
% 96.08/96.51 Deleted: 2574
% 96.08/96.51 Deletedinuse: 50
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying clauses:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 566541
% 96.08/96.51 Kept: 103887
% 96.08/96.51 Inuse: 1835
% 96.08/96.51 Deleted: 3308
% 96.08/96.51 Deletedinuse: 50
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 593879
% 96.08/96.51 Kept: 106995
% 96.08/96.51 Inuse: 1860
% 96.08/96.51 Deleted: 3309
% 96.08/96.51 Deletedinuse: 51
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 611052
% 96.08/96.51 Kept: 110717
% 96.08/96.51 Inuse: 1864
% 96.08/96.51 Deleted: 3311
% 96.08/96.51 Deletedinuse: 52
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 622758
% 96.08/96.51 Kept: 114247
% 96.08/96.51 Inuse: 1867
% 96.08/96.51 Deleted: 3314
% 96.08/96.51 Deletedinuse: 53
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 630746
% 96.08/96.51 Kept: 116387
% 96.08/96.51 Inuse: 1872
% 96.08/96.51 Deleted: 3319
% 96.08/96.51 Deletedinuse: 53
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 642321
% 96.08/96.51 Kept: 118623
% 96.08/96.51 Inuse: 1887
% 96.08/96.51 Deleted: 3319
% 96.08/96.51 Deletedinuse: 53
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 654099
% 96.08/96.51 Kept: 120828
% 96.08/96.51 Inuse: 1901
% 96.08/96.51 Deleted: 3320
% 96.08/96.51 Deletedinuse: 53
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying clauses:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 665386
% 96.08/96.51 Kept: 122993
% 96.08/96.51 Inuse: 1931
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 674953
% 96.08/96.51 Kept: 125066
% 96.08/96.51 Inuse: 1946
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 685469
% 96.08/96.51 Kept: 127077
% 96.08/96.51 Inuse: 1961
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 700296
% 96.08/96.51 Kept: 129192
% 96.08/96.51 Inuse: 1996
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 713293
% 96.08/96.51 Kept: 131203
% 96.08/96.51 Inuse: 2024
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 735260
% 96.08/96.51 Kept: 133579
% 96.08/96.51 Inuse: 2043
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 750887
% 96.08/96.51 Kept: 137941
% 96.08/96.51 Inuse: 2055
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 768039
% 96.08/96.51 Kept: 139943
% 96.08/96.51 Inuse: 2084
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 786855
% 96.08/96.51 Kept: 141950
% 96.08/96.51 Inuse: 2115
% 96.08/96.51 Deleted: 3677
% 96.08/96.51 Deletedinuse: 54
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying clauses:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 804797
% 96.08/96.51 Kept: 143971
% 96.08/96.51 Inuse: 2144
% 96.08/96.51 Deleted: 3917
% 96.08/96.51 Deletedinuse: 55
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51 Resimplifying inuse:
% 96.08/96.51 Done
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 823103
% 96.08/96.51 Kept: 145992
% 96.08/96.51 Inuse: 2173
% 96.08/96.51 Deleted: 3917
% 96.08/96.51 Deletedinuse: 55
% 96.08/96.51
% 96.08/96.51
% 96.08/96.51 Intermediate Status:
% 96.08/96.51 Generated: 832182
% 96.08/96.51 Kept: 149187
% 96.08/96.51 Inuse: 2175
% 96.08/96.51 Deleted: 3917
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 847497
% 203.46/203.98 Kept: 152896
% 203.46/203.98 Inuse: 2185
% 203.46/203.98 Deleted: 3917
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 866073
% 203.46/203.98 Kept: 157074
% 203.46/203.98 Inuse: 2191
% 203.46/203.98 Deleted: 3917
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 880993
% 203.46/203.98 Kept: 159403
% 203.46/203.98 Inuse: 2201
% 203.46/203.98 Deleted: 3917
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 903131
% 203.46/203.98 Kept: 162526
% 203.46/203.98 Inuse: 2206
% 203.46/203.98 Deleted: 3917
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying clauses:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 918975
% 203.46/203.98 Kept: 164531
% 203.46/203.98 Inuse: 2229
% 203.46/203.98 Deleted: 4298
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 937517
% 203.46/203.98 Kept: 166734
% 203.46/203.98 Inuse: 2256
% 203.46/203.98 Deleted: 4298
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 963114
% 203.46/203.98 Kept: 171109
% 203.46/203.98 Inuse: 2271
% 203.46/203.98 Deleted: 4298
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 982082
% 203.46/203.98 Kept: 175375
% 203.46/203.98 Inuse: 2276
% 203.46/203.98 Deleted: 4298
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1000961
% 203.46/203.98 Kept: 178765
% 203.46/203.98 Inuse: 2281
% 203.46/203.98 Deleted: 4298
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1015914
% 203.46/203.98 Kept: 183079
% 203.46/203.98 Inuse: 2294
% 203.46/203.98 Deleted: 4298
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying clauses:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1030386
% 203.46/203.98 Kept: 185102
% 203.46/203.98 Inuse: 2317
% 203.46/203.98 Deleted: 4406
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1055128
% 203.46/203.98 Kept: 187354
% 203.46/203.98 Inuse: 2351
% 203.46/203.98 Deleted: 4406
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1070081
% 203.46/203.98 Kept: 189415
% 203.46/203.98 Inuse: 2371
% 203.46/203.98 Deleted: 4406
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1083723
% 203.46/203.98 Kept: 191437
% 203.46/203.98 Inuse: 2388
% 203.46/203.98 Deleted: 4406
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1095194
% 203.46/203.98 Kept: 193514
% 203.46/203.98 Inuse: 2391
% 203.46/203.98 Deleted: 4406
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1112344
% 203.46/203.98 Kept: 195739
% 203.46/203.98 Inuse: 2416
% 203.46/203.98 Deleted: 4406
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1129976
% 203.46/203.98 Kept: 199458
% 203.46/203.98 Inuse: 2429
% 203.46/203.98 Deleted: 4406
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1150451
% 203.46/203.98 Kept: 201997
% 203.46/203.98 Inuse: 2439
% 203.46/203.98 Deleted: 4406
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying clauses:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1167355
% 203.46/203.98 Kept: 206692
% 203.46/203.98 Inuse: 2453
% 203.46/203.98 Deleted: 5562
% 203.46/203.98 Deletedinuse: 55
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1203447
% 203.46/203.98 Kept: 209743
% 203.46/203.98 Inuse: 2476
% 203.46/203.98 Deleted: 5569
% 203.46/203.98 Deletedinuse: 62
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1213340
% 203.46/203.98 Kept: 212036
% 203.46/203.98 Inuse: 2500
% 203.46/203.98 Deleted: 5687
% 203.46/203.98 Deletedinuse: 179
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1230507
% 203.46/203.98 Kept: 215676
% 203.46/203.98 Inuse: 2517
% 203.46/203.98 Deleted: 5695
% 203.46/203.98 Deletedinuse: 179
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1244331
% 203.46/203.98 Kept: 217721
% 203.46/203.98 Inuse: 2544
% 203.46/203.98 Deleted: 5700
% 203.46/203.98 Deletedinuse: 183
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1267761
% 203.46/203.98 Kept: 221606
% 203.46/203.98 Inuse: 2554
% 203.46/203.98 Deleted: 5706
% 203.46/203.98 Deletedinuse: 187
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98 Resimplifying inuse:
% 203.46/203.98 Done
% 203.46/203.98
% 203.46/203.98
% 203.46/203.98 Intermediate Status:
% 203.46/203.98 Generated: 1277907
% 203.46/203.98 Kept: 223694
% 203.46/203.98 Inuse: 2575
% 203.46/203.98 Deleted: 5710
% 203.46/203.98 Deletedinuse: 18Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------