TSTP Solution File: LCL781-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL781-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 : Sun Jul 17 07:57:54 EDT 2022
% Result : Timeout 300.01s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL781-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 3 03:58:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.81/1.21 *** allocated 10000 integers for termspace/termends
% 0.81/1.21 *** allocated 10000 integers for clauses
% 0.81/1.21 *** allocated 10000 integers for justifications
% 0.81/1.21 Bliksem 1.12
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 Automatic Strategy Selection
% 0.81/1.21
% 0.81/1.21 Clauses:
% 0.81/1.21 [
% 0.81/1.21 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.81/1.21 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.81/1.21 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_nat' ) ) ) ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.81/1.21 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.81/1.21 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.21 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.81/1.21 ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.21 'tc_nat' ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.81/1.21 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.81/1.21 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.81/1.21 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.81/1.21 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.81/1.21 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.81/1.21 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.21 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.21 X ), Y ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.21 X ), Y ) ],
% 0.81/1.21 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.81/1.21 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.81/1.21 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.81/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.21 ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.21 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.81/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.81/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.21 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.81/1.21 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.21 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.81/1.21 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 X, T, 'tc_nat' ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.81/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.81/1.21 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_nat' ) ) ) ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.21 T, X ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.21 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.81/1.21 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1'(
% 0.81/1.21 X, Y ) ) ), ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.81/1.21 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.81/1.21 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X,
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( U, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.21 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, U, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.81/1.21 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.81/1.21 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.81/1.21 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.21 ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.81/1.21 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.81/1.21 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.21 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.81/1.21 ), Y, X ) ), =( Z, T ) ],
% 0.81/1.21 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.81/1.21 ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.81/1.21 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.81/1.21 X ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.21 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 X ), T, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.21 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 X ), T, X ) ) ],
% 0.81/1.21 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( 'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.81/1.21 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.81/1.21 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.21 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.81/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.81/1.21 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.21 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.21 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.81/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.81/1.21 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.21 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.21 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.81/1.21 ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.21 , Z ), Y ), 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.21 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.81/1.21 ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1'( X, Y ) ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( X, Y ) ) ),
% 0.81/1.21 hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.81/1.21 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.21 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.21 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.81/1.21 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_OdB_OdB__size'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y )
% 0.81/1.21 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.81/1.21 'c_Lambda_OdB_OdB__size'( Y ) ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ),
% 0.81/1.21 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_nat' ) ) ) ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.81/1.21 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.21 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.81/1.21 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.21 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.21 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.81/1.21 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.81/1.21 , Y, X ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.81/1.21 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.81/1.21 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.81/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.81/1.21 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.81/1.21 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.81/1.21 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.81/1.21 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.81/1.21 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.81/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.21 , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.81/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.81/1.21 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.81/1.21 [ =( X, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.81/1.21 'c_Type_Osko__Type__Xtyping__elims__3__1'( X, Y, Z ) ),
% 0.81/1.21 'c_Type_Osko__Type__Xtyping__elims__3__2'( X, Y, Z ) ) ), ~(
% 0.81/1.21 'c_Type_Otyping'( Y, 'c_Lambda_OdB_OAbs'( Z ), X ) ) ],
% 0.81/1.21 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.81/1.21 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.81/1.21 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.81/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.81/1.21 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.81/1.21 , Y ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.81/1.21 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.81/1.21 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.81/1.21 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.81/1.21 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.81/1.21 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.81/1.21 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.81/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.81/1.21 , 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.81/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.81/1.21 , 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.81/1.21 , 'tc_nat' ), 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, X, 'tc_nat'
% 0.81/1.21 ), 'c_Power_Opower__class_Opower'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.21 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.81/1.21 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, Y ) ) )
% 0.81/1.21 , hBOOL( hAPP( X, 'c_List_Osko__Divides__Xmod__induct__0__1__1'( X, Z ) )
% 0.81/1.21 ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.81/1.21 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.81/1.21 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.81/1.21 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.81/1.21 Y ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.81/1.21 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.81/1.21 ) ) ) ],
% 0.81/1.21 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.81/1.21 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.21 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.81/1.21 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.81/1.21 ), Z ), U ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.81/1.21 ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Power_Opower__class_Opower'( Y,
% 0.81/1.21 Z, 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), Z, X ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 0.81/1.21 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.81/1.21 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.81/1.21 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.81/1.21 ), Z ), Y ) ],
% 0.81/1.21 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.81/1.21 hBOOL( hAPP( X, Z ) ) ],
% 0.81/1.21 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.81/1.21 hBOOL( hAPP( X, Z ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.81/1.21 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.81/1.21 ), Z ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.81/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.21 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.81/1.21 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 X ), Y ), Z ) ), T ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 X ), Y ), Z ) ), T ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.81/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.81/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.21 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.21 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.81/1.21 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.21 , T, X ) ) ), =( Y, Z ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.81/1.21 , T, X ) ) ), =( Z, T ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.81/1.21 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.81/1.21 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.81/1.21 Y ) ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.21 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y
% 0.81/1.21 ), 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.21 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ),
% 0.81/1.21 'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ) ) ), 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.21 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ), =( Y, Z ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 ) ), =( Y, Z ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.21 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.81/1.21 ) ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.81/1.21 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.81/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.81/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.81/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.81/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ), 'c_Suc'(
% 0.81/1.21 T ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), Z ), hAPP(
% 0.81/1.21 hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.81/1.21 U ), Z ) ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 0.81/1.21 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.21 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.81/1.21 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.21 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.81/1.21 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.81/1.21 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ),
% 0.81/1.21 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 'c_Suc'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.81/1.21 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_Power_Opower__class_Opower'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ), X, 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ) ) ],
% 0.81/1.21 [ =( 'c_Power_Opower__class_Opower'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ), X, 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ) ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.81/1.21 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.81/1.21 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.81/1.21 ) ), 'c_Suc'( Z ) ), hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Olift', X ), Z ) ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.81/1.21 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.21 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.81/1.21 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.81/1.21 Y ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.81/1.21 Y ) ],
% 0.81/1.21 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.21 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.81/1.21 Y ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.81/1.21 Y ) ],
% 0.81/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.81/1.21 Y ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.81/1.21 Y ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.81/1.21 Y ) ],
% 0.81/1.21 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.81/1.21 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.81/1.21 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.81/1.21 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.81/1.21 , Y ), Z ), Z, X ), Y ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1'( X, Y ), Y,
% 0.81/1.21 'tc_nat' ), ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.81/1.21 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.21 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1'( X, Z ), 'tc_nat' )
% 0.81/1.21 ), ~( hBOOL( hAPP( X, Z ) ) ), hBOOL( hAPP( X,
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.81/1.21 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.81/1.21 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), 'c_Power_Opower__class_Opower'( Y, X, 'tc_nat' ), 'tc_nat' )
% 0.81/1.21 ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.21 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, Y ) ) )
% 0.81/1.21 , 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 'c_List_Osko__Divides__Xmod__induct__0__1__1'( X, Z ), Z, 'tc_nat' ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.21 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.81/1.21 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.21 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.21 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.81/1.21 ), Z ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.21 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.81/1.21 ), Z ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.81/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.21 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.81/1.21 , Y ) ],
% 0.81/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.81/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.81/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.81/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.81/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.81/1.21 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.81/1.21 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.21 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.81/1.21 Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'(
% 0.81/1.21 Y ) ), X ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.81/1.21 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.21 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 0.81/1.21 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ) ), ~( hBOOL( hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.81/1.21 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.81/1.21 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.81/1.21 ) ) ],
% 0.81/1.21 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.81/1.21 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.81/1.21 'tc_nat' ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.81/1.21 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.81/1.21 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.81/1.21 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.81/1.21 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.81/1.21 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.81/1.21 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.81/1.21 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.81/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.21 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.81/1.21 , Y ) ],
% 0.81/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.81/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.81/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.81/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 0.81/1.21 ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.81/1.21 hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.81/1.21 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.81/1.21 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.81/1.21 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.81/1.21 , Y ), Z ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.81/1.21 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.81/1.21 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.21 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.81/1.21 ), Z ) ) ) ],
% 0.81/1.21 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.81/1.21 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.81/1.21 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.81/1.21 , Z ) ) ],
% 0.81/1.21 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.81/1.21 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ), Z ) ) ],
% 0.81/1.21 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.81/1.21 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.81/1.21 'c_Suc'( Y ), Z, T ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.81/1.21 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.81/1.21 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), 'c_Type_Osko__Type__Xtyping__elims__3__1'( Y, X, Z ),
% 0.81/1.21 'tc_Type_Otype' ), Z, 'c_Type_Osko__Type__Xtyping__elims__3__2'( Y, X, Z
% 0.81/1.21 ) ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Z ), Y ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.21 'tc_nat' ), 'c_Type_Osko__Type__Xabs__typeE__1__1'( X, Y ),
% 0.81/1.21 'tc_Type_Otype' ), Y, 'c_Type_Osko__Type__Xabs__typeE__1__2'( X, Y ) ),
% 0.81/1.21 ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.81/1.21 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.81/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.81/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ) ) ) ],
% 0.81/1.21 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.81/1.21 'tc_Lambda_OdB' ), X ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.81/1.21 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.81/1.21 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.81/1.21 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.21 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.81/1.21 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.81/1.21 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.81/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.81/1.21 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.81/1.21 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.81/1.21 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.81/1.21 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.81/1.21 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.81/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.81/1.21 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.81/1.21 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.81/1.21 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.81/1.21 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.81/1.21 'tc_Lambda_OdB' ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.81/1.21 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.81/1.21 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.81/1.21 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.81/1.21 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.81/1.21 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.81/1.21 , 'tc_Lambda_OdB' ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.81/1.21 Z ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.81/1.21 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.81/1.21 , Y ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.81/1.21 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.81/1.21 ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.81/1.21 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.81/1.21 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.81/1.21 ) ) ],
% 0.81/1.21 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.81/1.21 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.81/1.21 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.81/1.21 'c_Type_Otypings'( X, T, U ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.81/1.21 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.81/1.21 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.81/1.21 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.21 ), 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.21 ), 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.81/1.21 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 Z, X, 'tc_nat' ) ],
% 0.81/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.81/1.21 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.81/1.21 ],
% 0.81/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.81/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.81/1.21 Z ) ) ) ],
% 0.81/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.81/1.21 , X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.21 , Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.21 , Y, X ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.81/1.21 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.81/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.81/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.81/1.21 ), =( Z, Y ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.21 ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.81/1.21 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.21 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.21 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.21 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.81/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.81/1.21 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.81/1.21 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.81/1.21 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.81/1.21 ) ) ) ],
% 0.81/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.21 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.81/1.21 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.81/1.21 'tc_nat' ) ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.81/1.21 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.81/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.81/1.21 Z ) ) ) ],
% 0.81/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.81/1.21 ) ],
% 0.81/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.81/1.21 Z ) ) ) ],
% 0.81/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.21 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.81/1.21 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.81/1.21 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.81/1.21 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.81/1.21 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.81/1.21 ), X ), Y ) ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.81/1.21 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.81/1.21 'c_InductTermi_OIT', X ) ) ) ],
% 0.81/1.21 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.81/1.21 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.81/1.21 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.81/1.21 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.81/1.21 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.81/1.21 , U ) ) ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP(
% 0.81/1.21 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.81/1.21 , Y, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.81/1.21 ) ) ) ],
% 0.81/1.21 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.81/1.21 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.81/1.21 , U ) ) ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP(
% 0.81/1.21 'c_InductTermi_OIT', T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U
% 0.81/1.21 , X, 'tc_Type_Otype' ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z
% 0.81/1.21 ) ) ) ],
% 0.81/1.21 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.81/1.21 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.81/1.21 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.81/1.21 ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.81/1.21 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.81/1.21 , Z ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.81/1.21 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.81/1.21 ,
% 0.81/1.21 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.81/1.21 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.81/1.21 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 0.81/1.21 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.81/1.21 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.81/1.21 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.81/1.21 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.81/1.21 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.81/1.21 X ), Y ) ), Z ), Y ), X ) ],
% 0.81/1.21 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.81/1.21 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.81/1.21 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t____' ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e', 'v_i', 'v_T____',
% 0.81/1.21 'tc_Type_Otype' ), 'v_t____', 'v_T_H' ) ],
% 0.81/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u' ) ) ],
% 0.81/1.21 [ 'c_Type_Otyping'( 'v_e', 'v_u', 'v_T____' ) ],
% 0.81/1.21 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 0.81/1.21 'c_Lambda_Osubst', 'v_t____' ), 'v_u' ), 'v_i' ) ) ) ) ],
% 0.81/1.21 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.81/1.21 'class_Orderings_Opreorder'( Y ) ) ],
% 0.81/1.21 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.81/1.21 'class_Orderings_Oorder'( Y ) ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.81/1.21 ],
% 0.81/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.81/1.21 ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.81/1.21 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.81/1.21 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.81/1.21 [ 'c_fequal'( X, X, Y ) ],
% 0.81/1.21 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.81/1.21 ] .
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 percentage equality = 0.347545, percentage horn = 0.908602
% 0.81/1.21 This is a problem with some equality
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 Options Used:
% 0.81/1.21
% 0.81/1.21 useres = 1
% 0.81/1.21 useparamod = 1
% 0.81/1.21 useeqrefl = 1
% 0.81/1.21 useeqfact = 1
% 1.27/1.65 usefactor = 1
% 1.27/1.65 usesimpsplitting = 0
% 1.27/1.65 usesimpdemod = 5
% 1.27/1.65 usesimpres = 3
% 1.27/1.65
% 1.27/1.65 resimpinuse = 1000
% 1.27/1.65 resimpclauses = 20000
% 1.27/1.65 substype = eqrewr
% 1.27/1.65 backwardsubs = 1
% 1.27/1.65 selectoldest = 5
% 1.27/1.65
% 1.27/1.65 litorderings [0] = split
% 1.27/1.65 litorderings [1] = extend the termordering, first sorting on arguments
% 1.27/1.65
% 1.27/1.65 termordering = kbo
% 1.27/1.65
% 1.27/1.65 litapriori = 0
% 1.27/1.65 termapriori = 1
% 1.27/1.65 litaposteriori = 0
% 1.27/1.65 termaposteriori = 0
% 1.27/1.65 demodaposteriori = 0
% 1.27/1.65 ordereqreflfact = 0
% 1.27/1.65
% 1.27/1.65 litselect = negord
% 1.27/1.65
% 1.27/1.65 maxweight = 15
% 1.27/1.65 maxdepth = 30000
% 1.27/1.65 maxlength = 115
% 1.27/1.65 maxnrvars = 195
% 1.27/1.65 excuselevel = 1
% 1.27/1.65 increasemaxweight = 1
% 1.27/1.65
% 1.27/1.65 maxselected = 10000000
% 1.27/1.65 maxnrclauses = 10000000
% 1.27/1.65
% 1.27/1.65 showgenerated = 0
% 1.27/1.65 showkept = 0
% 1.27/1.65 showselected = 0
% 1.27/1.65 showdeleted = 0
% 1.27/1.65 showresimp = 1
% 1.27/1.65 showstatus = 2000
% 1.27/1.65
% 1.27/1.65 prologoutput = 1
% 1.27/1.65 nrgoals = 5000000
% 1.27/1.65 totalproof = 1
% 1.27/1.65
% 1.27/1.65 Symbols occurring in the translation:
% 1.27/1.65
% 1.27/1.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.27/1.65 . [1, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.27/1.65 ! [4, 1] (w:0, o:87, a:1, s:1, b:0),
% 1.27/1.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.27/1.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.27/1.65 'tc_nat' [40, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.27/1.65 'c_HOL_Oone__class_Oone' [41, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.27/1.65 'c_HOL_Ominus__class_Ominus' [42, 3] (w:1, o:166, a:1, s:1, b:0),
% 1.27/1.65 'c_Suc' [43, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.27/1.65 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.27/1.65 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.27/1.65 'c_Lambda_OdB_OAbs' [48, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.27/1.65 'c_Lambda_Oliftn' [50, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.27/1.65 'c_HOL_Oplus__class_Oplus' [51, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.27/1.65 hAPP [52, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.27/1.65 'c_Lambda_OdB_OVar' [54, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.27/1.65 'class_Ring__and__Field_Ozero__neq__one' [57, 1] (w:1, o:98, a:1, s:1
% 1.27/1.65 , b:0),
% 1.27/1.65 'class_OrderedGroup_Omonoid__add' [58, 1] (w:1, o:101, a:1, s:1, b:0)
% 1.27/1.65 ,
% 1.27/1.65 'c_List_Ofoldl' [61, 5] (w:1, o:182, a:1, s:1, b:0),
% 1.27/1.65 'c_Transitive__Closure_Ortranclp' [63, 2] (w:1, o:156, a:1, s:1, b:0)
% 1.27/1.65 ,
% 1.27/1.65 hBOOL [65, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.27/1.65 'class_OrderedGroup_Omonoid__mult' [66, 1] (w:1, o:103, a:1, s:1, b:0
% 1.27/1.65 ),
% 1.27/1.65 'c_Power_Opower__class_Opower' [68, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.27/1.65 'class_Ring__and__Field_Ocomm__semiring__1' [69, 1] (w:1, o:104, a:1
% 1.27/1.65 , s:1, b:0),
% 1.27/1.65 'class_OrderedGroup_Oab__semigroup__add' [70, 1] (w:1, o:105, a:1, s:
% 1.27/1.65 1, b:0),
% 1.27/1.65 'c_List_Ofoldr' [72, 5] (w:1, o:183, a:1, s:1, b:0),
% 1.27/1.65 'class_OrderedGroup_Olordered__ab__group__add' [75, 1] (w:1, o:100
% 1.27/1.65 , a:1, s:1, b:0),
% 1.27/1.65 'c_Lambda_Olift' [77, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.27/1.65 'class_Ring__and__Field_Oidom' [78, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.27/1.65 'class_Int_Onumber__ring' [79, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.27/1.65 'class_OrderedGroup_Ogroup__add' [80, 1] (w:1, o:108, a:1, s:1, b:0)
% 1.27/1.65 ,
% 1.27/1.65 'class_OrderedGroup_Oab__group__add' [81, 1] (w:1, o:109, a:1, s:1
% 1.27/1.65 , b:0),
% 1.27/1.65 'class_Nat_Osemiring__char__0' [82, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.27/1.65 'c_Nat_Osemiring__1__class_Oof__nat' [83, 2] (w:1, o:157, a:1, s:1
% 1.27/1.65 , b:0),
% 1.27/1.65 'class_OrderedGroup_Osemigroup__add' [85, 1] (w:1, o:110, a:1, s:1
% 1.27/1.65 , b:0),
% 1.27/1.65 'class_OrderedGroup_Ocomm__monoid__add' [86, 1] (w:1, o:111, a:1, s:1
% 1.27/1.65 , b:0),
% 1.27/1.65 'c_Lambda_Osubstn' [89, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.27/1.65 'class_Ring__and__Field_Oordered__semidom' [91, 1] (w:1, o:114, a:1
% 1.27/1.65 , s:1, b:0),
% 1.27/1.65 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [93, 1]
% 1.27/1.65 (w:1, o:115, a:1, s:1, b:0),
% 1.27/1.65 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1' [96, 2] (w:1, o:
% 1.27/1.65 158, a:1, s:1, b:0),
% 1.27/1.65 'c_Type_Oshift' [99, 4] (w:1, o:177, a:1, s:1, b:0),
% 1.27/1.65 'class_Ring__and__Field_Oring__1__no__zero__divisors' [100, 1] (w:1
% 1.27/1.65 , o:116, a:1, s:1, b:0),
% 1.27/1.65 'class_Ring__and__Field_Ono__zero__divisors' [101, 1] (w:1, o:113, a:
% 1.27/1.65 1, s:1, b:0),
% 1.27/1.65 'class_Ring__and__Field_Omult__zero' [102, 1] (w:1, o:112, a:1, s:1
% 10.09/10.50 , b:0),
% 10.09/10.50 'class_Power_Opower' [103, 1] (w:1, o:125, a:1, s:1, b:0),
% 10.09/10.50 'c_Lambda_Obeta' [104, 0] (w:1, o:48, a:1, s:1, b:0),
% 10.09/10.50 'tc_Lambda_OdB' [105, 0] (w:1, o:49, a:1, s:1, b:0),
% 10.09/10.50 'c_Lambda_OdB_OApp' [106, 0] (w:1, o:50, a:1, s:1, b:0),
% 10.09/10.50 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [109, 1]
% 10.09/10.50 (w:1, o:117, a:1, s:1, b:0),
% 10.09/10.50 'c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1' [110, 2] (w:1
% 10.09/10.50 , o:159, a:1, s:1, b:0),
% 10.09/10.50 'class_Ring__and__Field_Osemiring__1' [111, 1] (w:1, o:127, a:1, s:1
% 10.09/10.50 , b:0),
% 10.09/10.50 'class_OrderedGroup_Opordered__ab__group__add' [112, 1] (w:1, o:118
% 10.09/10.50 , a:1, s:1, b:0),
% 10.09/10.50 'c_Lambda_OdB_OdB__size' [117, 1] (w:1, o:128, a:1, s:1, b:0),
% 10.09/10.50 'c_Type_Otype_OFun' [119, 0] (w:1, o:52, a:1, s:1, b:0),
% 10.09/10.50 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [121, 4] (w:1, o:178, a:
% 10.09/10.50 1, s:1, b:0),
% 10.09/10.50 'tc_Type_Otype' [122, 0] (w:1, o:54, a:1, s:1, b:0),
% 10.09/10.50 'c_Type_Otyping' [123, 3] (w:1, o:173, a:1, s:1, b:0),
% 10.09/10.50 'c_Lambda_Osubst' [124, 0] (w:1, o:55, a:1, s:1, b:0),
% 10.09/10.50 'c_InductTermi_OIT' [126, 0] (w:1, o:62, a:1, s:1, b:0),
% 10.09/10.50 'c_List_Olistsp' [128, 3] (w:1, o:174, a:1, s:1, b:0),
% 10.09/10.50 'c_Type_Osko__Type__Xtyping__elims__3__1' [129, 3] (w:1, o:171, a:1
% 10.09/10.50 , s:1, b:0),
% 10.09/10.50 'c_Type_Osko__Type__Xtyping__elims__3__2' [130, 3] (w:1, o:172, a:1
% 10.09/10.50 , s:1, b:0),
% 10.09/10.50 'c_Type_Osko__Type__Xvar__app__types__1__1' [133, 4] (w:1, o:179, a:1
% 10.09/10.50 , s:1, b:0),
% 10.09/10.50 'c_Type_Otypings' [135, 3] (w:1, o:175, a:1, s:1, b:0),
% 10.09/10.50 'class_OrderedGroup_Opordered__comm__monoid__add' [136, 1] (w:1, o:
% 10.09/10.50 119, a:1, s:1, b:0),
% 10.09/10.50 'class_Ring__and__Field_Oordered__idom' [137, 1] (w:1, o:129, a:1, s:
% 10.09/10.50 1, b:0),
% 10.09/10.50 'class_Ring__and__Field_Osemiring__0' [138, 1] (w:1, o:126, a:1, s:1
% 10.09/10.50 , b:0),
% 10.09/10.50 'c_List_Osko__Divides__Xmod__induct__0__1__1' [139, 2] (w:1, o:160
% 10.09/10.50 , a:1, s:1, b:0),
% 10.09/10.50 'c_Nat_Osize__class_Osize' [141, 2] (w:1, o:161, a:1, s:1, b:0),
% 10.09/10.50 'class_OrderedGroup_Ocancel__ab__semigroup__add' [142, 1] (w:1, o:120
% 10.09/10.50 , a:1, s:1, b:0),
% 10.09/10.50 'class_OrderedGroup_Ocancel__semigroup__add' [143, 1] (w:1, o:121, a:
% 10.09/10.50 1, s:1, b:0),
% 10.09/10.50 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [147, 2] (w:1, o:162, a:1
% 10.09/10.50 , s:1, b:0),
% 10.09/10.50 'c_Type_Osko__Type__Xtyping__elims__2__1' [148, 4] (w:1, o:180, a:1
% 10.09/10.50 , s:1, b:0),
% 10.09/10.50 'c_Type_Osko__Type__Xabs__typeE__1__1' [149, 2] (w:1, o:163, a:1, s:1
% 10.09/10.50 , b:0),
% 10.09/10.50 'c_Type_Osko__Type__Xabs__typeE__1__2' [150, 2] (w:1, o:164, a:1, s:1
% 10.09/10.50 , b:0),
% 10.09/10.50 'c_COMBC' [151, 5] (w:1, o:184, a:1, s:1, b:0),
% 10.09/10.50 'c_List_Omap' [152, 4] (w:1, o:181, a:1, s:1, b:0),
% 10.09/10.50 'tc_fun' [153, 2] (w:1, o:165, a:1, s:1, b:0),
% 10.09/10.50 'class_Orderings_Oorder' [160, 1] (w:1, o:122, a:1, s:1, b:0),
% 10.09/10.50 'class_Orderings_Opreorder' [161, 1] (w:1, o:123, a:1, s:1, b:0),
% 10.09/10.50 'class_Orderings_Olinorder' [163, 1] (w:1, o:124, a:1, s:1, b:0),
% 10.09/10.50 'v_T____' [169, 0] (w:1, o:75, a:1, s:1, b:0),
% 10.09/10.50 'v_t____' [174, 0] (w:1, o:77, a:1, s:1, b:0),
% 10.09/10.50 'v_e' [175, 0] (w:1, o:78, a:1, s:1, b:0),
% 10.09/10.50 'v_i' [176, 0] (w:1, o:79, a:1, s:1, b:0),
% 10.09/10.50 'v_T_H' [177, 0] (w:1, o:80, a:1, s:1, b:0),
% 10.09/10.50 'v_u' [178, 0] (w:1, o:81, a:1, s:1, b:0),
% 10.09/10.50 'tc_bool' [181, 0] (w:1, o:84, a:1, s:1, b:0),
% 10.09/10.50 'c_fequal' [182, 3] (w:1, o:176, a:1, s:1, b:0).
% 10.09/10.50
% 10.09/10.50
% 10.09/10.50 Starting Search:
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50
% 10.09/10.50 Intermediate Status:
% 10.09/10.50 Generated: 4418
% 10.09/10.50 Kept: 2000
% 10.09/10.50 Inuse: 131
% 10.09/10.50 Deleted: 5
% 10.09/10.50 Deletedinuse: 1
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50
% 10.09/10.50 Intermediate Status:
% 10.09/10.50 Generated: 11492
% 10.09/10.50 Kept: 4036
% 10.09/10.50 Inuse: 204
% 10.09/10.50 Deleted: 6
% 10.09/10.50 Deletedinuse: 1
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50
% 10.09/10.50 Intermediate Status:
% 10.09/10.50 Generated: 18497
% 10.09/10.50 Kept: 6057
% 10.09/10.50 Inuse: 271
% 10.09/10.50 Deleted: 7
% 10.09/10.50 Deletedinuse: 2
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50
% 10.09/10.50 Intermediate Status:
% 10.09/10.50 Generated: 30886
% 10.09/10.50 Kept: 8476
% 10.09/10.50 Inuse: 332
% 10.09/10.50 Deleted: 7
% 10.09/10.50 Deletedinuse: 2
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50 Resimplifying inuse:
% 10.09/10.50 Done
% 10.09/10.50
% 10.09/10.50
% 10.09/10.50 Intermediate Status:
% 10.09/10.50 Generated: 39638
% 10.09/10.50 Kept: 10482
% 10.09/10.50 Inuse: 400
% 34.89/35.30 Deleted: 9
% 34.89/35.30 Deletedinuse: 2
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 53820
% 34.89/35.30 Kept: 12532
% 34.89/35.30 Inuse: 444
% 34.89/35.30 Deleted: 12
% 34.89/35.30 Deletedinuse: 2
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 62872
% 34.89/35.30 Kept: 14555
% 34.89/35.30 Inuse: 502
% 34.89/35.30 Deleted: 19
% 34.89/35.30 Deletedinuse: 5
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 71836
% 34.89/35.30 Kept: 16575
% 34.89/35.30 Inuse: 552
% 34.89/35.30 Deleted: 19
% 34.89/35.30 Deletedinuse: 5
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 83486
% 34.89/35.30 Kept: 18892
% 34.89/35.30 Inuse: 583
% 34.89/35.30 Deleted: 19
% 34.89/35.30 Deletedinuse: 5
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying clauses:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 92545
% 34.89/35.30 Kept: 21035
% 34.89/35.30 Inuse: 612
% 34.89/35.30 Deleted: 289
% 34.89/35.30 Deletedinuse: 7
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 104173
% 34.89/35.30 Kept: 23044
% 34.89/35.30 Inuse: 662
% 34.89/35.30 Deleted: 291
% 34.89/35.30 Deletedinuse: 7
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 115564
% 34.89/35.30 Kept: 25114
% 34.89/35.30 Inuse: 711
% 34.89/35.30 Deleted: 291
% 34.89/35.30 Deletedinuse: 7
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 128581
% 34.89/35.30 Kept: 27361
% 34.89/35.30 Inuse: 735
% 34.89/35.30 Deleted: 291
% 34.89/35.30 Deletedinuse: 7
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 161555
% 34.89/35.30 Kept: 30979
% 34.89/35.30 Inuse: 765
% 34.89/35.30 Deleted: 292
% 34.89/35.30 Deletedinuse: 8
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 175525
% 34.89/35.30 Kept: 32983
% 34.89/35.30 Inuse: 784
% 34.89/35.30 Deleted: 293
% 34.89/35.30 Deletedinuse: 9
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 197439
% 34.89/35.30 Kept: 35342
% 34.89/35.30 Inuse: 795
% 34.89/35.30 Deleted: 293
% 34.89/35.30 Deletedinuse: 9
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 204625
% 34.89/35.30 Kept: 38806
% 34.89/35.30 Inuse: 799
% 34.89/35.30 Deleted: 293
% 34.89/35.30 Deletedinuse: 9
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 218305
% 34.89/35.30 Kept: 42918
% 34.89/35.30 Inuse: 801
% 34.89/35.30 Deleted: 293
% 34.89/35.30 Deletedinuse: 9
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying clauses:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 233293
% 34.89/35.30 Kept: 46973
% 34.89/35.30 Inuse: 809
% 34.89/35.30 Deleted: 558
% 34.89/35.30 Deletedinuse: 9
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 250874
% 34.89/35.30 Kept: 48985
% 34.89/35.30 Inuse: 835
% 34.89/35.30 Deleted: 558
% 34.89/35.30 Deletedinuse: 9
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 262707
% 34.89/35.30 Kept: 50993
% 34.89/35.30 Inuse: 867
% 34.89/35.30 Deleted: 559
% 34.89/35.30 Deletedinuse: 10
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 275502
% 34.89/35.30 Kept: 53112
% 34.89/35.30 Inuse: 900
% 34.89/35.30 Deleted: 559
% 34.89/35.30 Deletedinuse: 10
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 287315
% 34.89/35.30 Kept: 55183
% 34.89/35.30 Inuse: 930
% 34.89/35.30 Deleted: 559
% 34.89/35.30 Deletedinuse: 10
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 299661
% 34.89/35.30 Kept: 57325
% 34.89/35.30 Inuse: 955
% 34.89/35.30 Deleted: 559
% 34.89/35.30 Deletedinuse: 10
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 316005
% 34.89/35.30 Kept: 59516
% 34.89/35.30 Inuse: 979
% 34.89/35.30 Deleted: 561
% 34.89/35.30 Deletedinuse: 11
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 326913
% 34.89/35.30 Kept: 61556
% 34.89/35.30 Inuse: 996
% 34.89/35.30 Deleted: 562
% 34.89/35.30 Deletedinuse: 12
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying clauses:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 339798
% 34.89/35.30 Kept: 64246
% 34.89/35.30 Inuse: 1004
% 34.89/35.30 Deleted: 902
% 34.89/35.30 Deletedinuse: 12
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 358647
% 34.89/35.30 Kept: 67651
% 34.89/35.30 Inuse: 1013
% 34.89/35.30 Deleted: 902
% 34.89/35.30 Deletedinuse: 12
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 377297
% 34.89/35.30 Kept: 69933
% 34.89/35.30 Inuse: 1029
% 34.89/35.30 Deleted: 902
% 34.89/35.30 Deletedinuse: 12
% 34.89/35.30
% 34.89/35.30 Resimplifying inuse:
% 34.89/35.30 Done
% 34.89/35.30
% 34.89/35.30
% 34.89/35.30 Intermediate Status:
% 34.89/35.30 Generated: 394666
% 147.49/147.93 Kept: 72577
% 147.49/147.93 Inuse: 1044
% 147.49/147.93 Deleted: 902
% 147.49/147.93 Deletedinuse: 12
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 405901
% 147.49/147.93 Kept: 75031
% 147.49/147.93 Inuse: 1059
% 147.49/147.93 Deleted: 902
% 147.49/147.93 Deletedinuse: 12
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 426961
% 147.49/147.93 Kept: 77691
% 147.49/147.93 Inuse: 1069
% 147.49/147.93 Deleted: 902
% 147.49/147.93 Deletedinuse: 12
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 447811
% 147.49/147.93 Kept: 79707
% 147.49/147.93 Inuse: 1085
% 147.49/147.93 Deleted: 902
% 147.49/147.93 Deletedinuse: 12
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 458988
% 147.49/147.93 Kept: 81795
% 147.49/147.93 Inuse: 1104
% 147.49/147.93 Deleted: 902
% 147.49/147.93 Deletedinuse: 12
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying clauses:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 470790
% 147.49/147.93 Kept: 84010
% 147.49/147.93 Inuse: 1129
% 147.49/147.93 Deleted: 1020
% 147.49/147.93 Deletedinuse: 12
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 489085
% 147.49/147.93 Kept: 86133
% 147.49/147.93 Inuse: 1144
% 147.49/147.93 Deleted: 1020
% 147.49/147.93 Deletedinuse: 12
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 506789
% 147.49/147.93 Kept: 88592
% 147.49/147.93 Inuse: 1174
% 147.49/147.93 Deleted: 1021
% 147.49/147.93 Deletedinuse: 13
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 516823
% 147.49/147.93 Kept: 90735
% 147.49/147.93 Inuse: 1194
% 147.49/147.93 Deleted: 1021
% 147.49/147.93 Deletedinuse: 13
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 528936
% 147.49/147.93 Kept: 92898
% 147.49/147.93 Inuse: 1219
% 147.49/147.93 Deleted: 1021
% 147.49/147.93 Deletedinuse: 13
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 545243
% 147.49/147.93 Kept: 95453
% 147.49/147.93 Inuse: 1229
% 147.49/147.93 Deleted: 1021
% 147.49/147.93 Deletedinuse: 13
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 563990
% 147.49/147.93 Kept: 97526
% 147.49/147.93 Inuse: 1245
% 147.49/147.93 Deleted: 1021
% 147.49/147.93 Deletedinuse: 13
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 591490
% 147.49/147.93 Kept: 100414
% 147.49/147.93 Inuse: 1254
% 147.49/147.93 Deleted: 1021
% 147.49/147.93 Deletedinuse: 13
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 620686
% 147.49/147.93 Kept: 103472
% 147.49/147.93 Inuse: 1264
% 147.49/147.93 Deleted: 1021
% 147.49/147.93 Deletedinuse: 13
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying clauses:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 640370
% 147.49/147.93 Kept: 105987
% 147.49/147.93 Inuse: 1279
% 147.49/147.93 Deleted: 1211
% 147.49/147.93 Deletedinuse: 13
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 658871
% 147.49/147.93 Kept: 108024
% 147.49/147.93 Inuse: 1291
% 147.49/147.93 Deleted: 1213
% 147.49/147.93 Deletedinuse: 15
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 671190
% 147.49/147.93 Kept: 110028
% 147.49/147.93 Inuse: 1312
% 147.49/147.93 Deleted: 1213
% 147.49/147.93 Deletedinuse: 15
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 681942
% 147.49/147.93 Kept: 112350
% 147.49/147.93 Inuse: 1320
% 147.49/147.93 Deleted: 1213
% 147.49/147.93 Deletedinuse: 15
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 694006
% 147.49/147.93 Kept: 114616
% 147.49/147.93 Inuse: 1339
% 147.49/147.93 Deleted: 1213
% 147.49/147.93 Deletedinuse: 15
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 710413
% 147.49/147.93 Kept: 119591
% 147.49/147.93 Inuse: 1354
% 147.49/147.93 Deleted: 1213
% 147.49/147.93 Deletedinuse: 15
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 719616
% 147.49/147.93 Kept: 121633
% 147.49/147.93 Inuse: 1368
% 147.49/147.93 Deleted: 1214
% 147.49/147.93 Deletedinuse: 16
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 726438
% 147.49/147.93 Kept: 123650
% 147.49/147.93 Inuse: 1379
% 147.49/147.93 Deleted: 1214
% 147.49/147.93 Deletedinuse: 16
% 147.49/147.93
% 147.49/147.93 Resimplifying clauses:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 748969
% 147.49/147.93 Kept: 125651
% 147.49/147.93 Inuse: 1398
% 147.49/147.93 Deleted: 1790
% 147.49/147.93 Deletedinuse: 16
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 Generated: 795821
% 147.49/147.93 Kept: 127665
% 147.49/147.93 Inuse: 1440
% 147.49/147.93 Deleted: 1792
% 147.49/147.93 Deletedinuse: 18
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93 Resimplifying inuse:
% 147.49/147.93 Done
% 147.49/147.93
% 147.49/147.93
% 147.49/147.93 Intermediate Status:
% 147.49/147.93 GenCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------