TSTP Solution File: LCL746-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL746-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 07:57:27 EDT 2022
% Result : Timeout 300.05s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL746-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.15 % Command : bliksem %s
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % DateTime : Sat Jul 2 22:50:00 EDT 2022
% 0.15/0.37 % CPUTime :
% 1.18/1.52 *** allocated 10000 integers for termspace/termends
% 1.18/1.52 *** allocated 10000 integers for clauses
% 1.18/1.52 *** allocated 10000 integers for justifications
% 1.18/1.52 *** allocated 15000 integers for termspace/termends
% 1.18/1.52 *** allocated 22500 integers for termspace/termends
% 1.18/1.52 Bliksem 1.12
% 1.18/1.52
% 1.18/1.52
% 1.18/1.52 Automatic Strategy Selection
% 1.18/1.52
% 1.18/1.52 Clauses:
% 1.18/1.52 [
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Y, X )
% 1.18/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.18/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.52 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 1.18/1.52 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 1.18/1.52 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 1.18/1.52 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 1.18/1.52 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 1.18/1.52 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 1.18/1.52 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.18/1.52 Y, 'tc_nat' ) ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.18/1.52 ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), T ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ), U ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), U ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), X ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ), =( Y, Z ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ), =( Y, Z ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.18/1.52 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Z
% 1.18/1.52 , X ) ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.18/1.52 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.52 , 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.18/1.52 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.18/1.52 'c_List_Olist_ONil'( Y ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.18/1.52 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ) ) ) ],
% 1.18/1.52 [ =( X, Y ), ~( 'c_List_Olist__all2'( 'c_fequal'( Z ), X, Y, Z, Z ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ) ) ) ) ],
% 1.18/1.52 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.18/1.52 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.52 , 'tc_nat' ), X ) ) ), =( X, Z ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.18/1.52 , T, X ) ) ), =( Z, T ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.52 , T, X ) ) ), =( Y, Z ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.18/1.52 ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.52 , 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) )
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) )
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) )
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.18/1.52 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.18/1.52 ), Z ) ) ) ],
% 1.18/1.52 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.52 Z ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.18/1.52 X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.18/1.52 ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ) ), T ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ) ), T ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.18/1.52 , Y, X ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.18/1.52 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.52 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.18/1.52 , Y, X ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.18/1.52 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.18/1.52 T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.18/1.52 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.18/1.52 ), Z ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.18/1.52 ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), X ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.18/1.52 ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), Y ) ) ],
% 1.18/1.52 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 1.18/1.52 hBOOL( hAPP( X, Z ) ) ],
% 1.18/1.52 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 1.18/1.52 hBOOL( hAPP( X, Z ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.18/1.52 ), Z ), Y ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 Y, 'tc_nat' ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.18/1.52 , 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 1.18/1.52 , T, 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U, 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( T, 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 Y, 'tc_nat' ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.18/1.52 , 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.52 , X, 'tc_nat' ), Y, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 Y, T, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 Y, Z, X ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 Y, T, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 Y, Z, X ) ) ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 Z, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 Z, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ),
% 1.18/1.52 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'(
% 1.18/1.52 X, T ) ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.18/1.52 X ), Z ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.52 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.18/1.52 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ),
% 1.18/1.52 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 X, 'tc_nat' ), Y ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T
% 1.18/1.52 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z
% 1.18/1.52 , X ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ), U ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), T ),
% 1.18/1.52 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 Z, 'tc_nat' ) ), T ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), U ) ) ) ),
% 1.18/1.52 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 Y, 'tc_nat' ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ) ) ),
% 1.18/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ) ), Z ),
% 1.18/1.52 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.18/1.52 ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), T, 'tc_nat' ) ), U ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.18/1.52 T, 'tc_nat' ) ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ) ), U ) ) ) ),
% 1.18/1.52 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 Y, 'tc_nat' ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ) ) ),
% 1.18/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ) ), U ) ) )
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ) ) ), =( T, hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ) ), W ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ) ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), W ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 X, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.52 Z ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ),
% 1.18/1.52 Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.18/1.52 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.18/1.52 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), T ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( U, Z, X )
% 1.18/1.52 ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ) ), W ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.18/1.52 , X ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.18/1.52 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, U, X ) ), W ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), T ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( U, Z, X )
% 1.18/1.52 ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), X ), W ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.18/1.52 , X ) ), U ), X ), W ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.18/1.52 ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), W ) ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 1.18/1.52 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.18/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.18/1.52 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.18/1.52 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.52 ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.52 ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.52 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.18/1.52 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ),
% 1.18/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.18/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.18/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.18/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 1.18/1.52 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), Y ), X ), Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.52 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.52 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X
% 1.18/1.52 ), Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.18/1.52 , Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) )
% 1.18/1.52 ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' )
% 1.18/1.52 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ) )
% 1.18/1.52 ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.18/1.52 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ) ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.18/1.52 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ) ) ), =( Z,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.18/1.52 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.18/1.52 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.18/1.52 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.18/1.52 , 'tc_nat' ), 'tc_nat' ), Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y,
% 1.18/1.52 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), =(
% 1.18/1.52 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'(
% 1.18/1.52 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.18/1.52 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.18/1.52 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.18/1.52 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.18/1.52 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.18/1.52 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.18/1.52 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.18/1.52 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.18/1.52 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.18/1.52 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.18/1.52 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 1.18/1.52 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 1.18/1.52 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) )
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.52 ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.52 , Y ), T ), Z, X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.18/1.52 Y ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.18/1.52 Y ) ],
% 1.18/1.52 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.18/1.52 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.18/1.52 Y ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.18/1.52 Y ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.18/1.52 Y ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.18/1.52 Y ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.18/1.52 Y ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ) ) ) ],
% 1.18/1.52 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 1.18/1.52 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.52 , Y ), Z ), Z, X ), Y ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.18/1.52 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.18/1.52 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.18/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.52 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Y, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 Y, X ), Z ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Y, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.52 , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.52 , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.18/1.52 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.52 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.18/1.52 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.18/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X )
% 1.18/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.18/1.52 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.18/1.52 Z, 'tc_nat' ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.18/1.52 , 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ) ), T ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.18/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.18/1.52 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 1.18/1.52 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 1.18/1.52 'c_Suc'( Y ), Z, T ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Z,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.52 ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), T ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( U, Z, X )
% 1.18/1.52 ), W ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ) ), W ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 1.18/1.52 ), U, X ) ), W ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( T, U
% 1.18/1.52 , X ) ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, U, X ) ), W ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), T ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( U, Z, X )
% 1.18/1.52 ), W ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), X ), W ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.18/1.52 , X ) ), U ), X ), W ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.18/1.52 , X ) ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), W ) ) ) ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.18/1.52 Y, 'tc_nat' ) ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ),
% 1.18/1.52 X ) ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 1.18/1.52 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.18/1.52 Y, 'tc_nat' ) ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.18/1.52 T ) ) ), =( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, X,
% 1.18/1.52 'tc_nat' ), Y, 'tc_nat' ) ), U ) ) ],
% 1.18/1.52 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 Z, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, X,
% 1.18/1.52 'tc_nat' ), Z, 'tc_nat' ) ), T ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.18/1.52 Z, 'tc_nat' ) ), T ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.52 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.18/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.18/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.52 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.52 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.52 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 X ), X ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) )
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.52 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 1.18/1.52 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.18/1.52 ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( X,
% 1.18/1.52 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y )
% 1.18/1.52 ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.52 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 1.18/1.52 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 1.18/1.52 , Y, 'tc_nat' ), Z, 'tc_nat' ) ), T ), 'tc_nat' ), U ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), T ), 'tc_nat' ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), U ) ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ),
% 1.18/1.52 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 1.18/1.52 'tc_nat' ), Y, 'tc_nat' ) ), Z ), 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( T, 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), T, 'tc_nat' ) ), U ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), X ),
% 1.18/1.52 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ) ), U ) ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ),
% 1.18/1.52 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.52 , X, 'tc_nat' ), Y, 'tc_nat' ) ), U ) ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 T, U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, U, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 T, Z, X ) ) ) ), =( Z, U ), =( Y, T ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.52 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 T, U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, U, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 T, Z, X ) ) ) ), =( Z, U ), =( Y, T ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 T, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ),
% 1.18/1.52 =( Y, T ), =( X, Z ) ],
% 1.18/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.52 T, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ),
% 1.18/1.52 =( Y, T ), =( X, Z ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.52 ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.18/1.52 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.18/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.18/1.52 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.52 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.18/1.52 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ), =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), Y ), X ), X, 'tc_nat' ), Y ) ],
% 1.18/1.52 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.18/1.52 ) ],
% 1.18/1.52 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 1.18/1.52 X ) ), Y ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 X ), X ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.18/1.52 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.18/1.52 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.18/1.52 Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.18/1.52 Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.18/1.52 Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.52 X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.52 ), Z ) ) ) ],
% 1.18/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 1.18/1.52 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), X ), Z ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.18/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.18/1.52 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z )
% 1.18/1.52 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.18/1.52 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.18/1.52 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T )
% 1.18/1.52 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.52 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.52 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.18/1.52 ],
% 1.18/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.52 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.52 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.52 , X ), Y ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.52 , X ), Y ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.52 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.52 , X ), Y ) ) ],
% 1.18/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.52 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.18/1.52 ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.18/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ),
% 1.18/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.18/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.52 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.18/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.18/1.52 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.52 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Y ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ) ]
% 1.18/1.52 ,
% 1.18/1.52 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~( hBOOL(
% 1.18/1.52 hAPP( 'c_HOL_Oord__class_Oless'( U, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.52 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) )
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X,
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.53 X, Y, 'tc_nat' ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.53 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z,
% 1.18/1.53 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' )
% 1.18/1.53 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y )
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), T ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.53 X, 'c_Suc'( Y ), 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.53 'tc_nat' ), X ) ) ) ],
% 1.18/1.53 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.53 'tc_nat' ), X ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.53 ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.53 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.53 ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.53 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.53 ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.53 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.18/1.53 ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), X ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.53 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 1.18/1.53 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 1.18/1.53 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.18/1.53 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.53 Y ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 1.18/1.53 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 1.18/1.53 ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.18/1.53 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.18/1.53 Y ) ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_Suc'( Y ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.18/1.53 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.18/1.53 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.18/1.53 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( X ) )
% 1.18/1.53 ) ],
% 1.18/1.53 [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.18/1.53 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 1.18/1.53 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 1.18/1.53 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 1.18/1.53 Z ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.18/1.53 Z ) ) ) ],
% 1.18/1.53 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.18/1.53 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.18/1.53 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 1.18/1.53 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 1.18/1.53 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 1.18/1.53 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 1.18/1.53 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 1.18/1.53 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 1.18/1.53 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 1.18/1.53 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.53 Y ), X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z )
% 1.18/1.53 ) ],
% 1.18/1.53 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 1.18/1.53 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.18/1.53 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 1.18/1.53 , 'c_List_Olist_ONil'( T ) ) ],
% 1.18/1.53 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 1.18/1.53 'c_List_Olist_ONil'( Z ) ) ],
% 1.18/1.53 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 1.18/1.53 ), Z, X ) ) ],
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.18/1.53 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 1.18/1.53 'tc_Lambda_OdB' ) ) ],
% 1.18/1.53 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.18/1.53 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.18/1.53 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 1.18/1.53 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 1.18/1.53 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.18/1.53 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 1.18/1.53 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 1.18/1.53 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.18/1.53 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.18/1.53 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 1.18/1.53 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.18/1.53 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 1.18/1.53 , 'tc_Lambda_OdB' ) ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.18/1.53 ), X ), Y ) ],
% 1.18/1.53 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 1.18/1.53 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 1.18/1.53 , Z ) ) ],
% 1.18/1.53 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 1.18/1.53 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 1.18/1.53 X ), Y ) ), Z ), Y ), X ) ],
% 1.18/1.53 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y ), hAPP( hAPP(
% 1.18/1.53 'c_Lambda_Olift', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 1.18/1.53 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) )
% 1.18/1.53 ) ],
% 1.18/1.53 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1'( Y, X ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( Y ), 'tc_nat' ),
% 1.18/1.53 X ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_ATP__Linkup_Osko__Nat__XlessE__1__1'( X, Y ) ) ), =( Y, 'c_Suc'( X ) )
% 1.18/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.53 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), X
% 1.18/1.53 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.18/1.53 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.18/1.53 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.18/1.53 Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.18/1.53 X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z )
% 1.18/1.53 , Y ) ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.18/1.53 Z ) ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( Y, hAPP(
% 1.18/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), X ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ), X ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 'tc_nat' ), X ), Y ), Z, 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.53 , 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.53 , 'tc_nat' ), X ) ) ) ],
% 1.18/1.53 [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Olist__all2'( Z,
% 1.18/1.53 'c_List_Olist_ONil'( T ), X, T, Y ) ) ],
% 1.18/1.53 [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Olist__all2'( Z, X,
% 1.18/1.53 'c_List_Olist_ONil'( T ), Y, T ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.53 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.53 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.53 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.53 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 1.18/1.53 X ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.53 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 X ), X ), Z ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.53 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 X ), X ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.53 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.53 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.18/1.53 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) )
% 1.18/1.53 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.53 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.18/1.53 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.18/1.53 , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.18/1.53 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X
% 1.18/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.53 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y
% 1.18/1.53 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.53 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.53 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.18/1.53 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.18/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Otimes__class_Otimes'( Z, U
% 1.18/1.53 , X ) ) ) ), =( T, U ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 Y, T, 'tc_nat' ) ) ) ), =( Z, T ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.18/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.18/1.53 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.18/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.18/1.53 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.53 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ) ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' )
% 1.18/1.53 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.18/1.53 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.53 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.18/1.53 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.53 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.18/1.53 , 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.53 ), Y ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.53 , X ), Y ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.18/1.53 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.53 , Z ), U ) ) ) ) ],
% 1.18/1.53 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y ) ), ~(
% 1.18/1.53 'c_Type_Otyping'( X, T, Z ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.53 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.18/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.53 ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.18/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.18/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 Z, T, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.18/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.18/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 T, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.18/1.53 [ 'c_List_Olist__all2'( X, 'c_List_Olist_ONil'( Y ), 'c_List_Olist_ONil'(
% 1.18/1.53 Z ), Y, Z ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.53 X, Y, 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.18/1.53 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.53 , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.53 , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( U, X ), T ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.18/1.53 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.18/1.53 [ 'c_List_Olist__all2'( 'c_fequal'( X ), Y, Y, X, X ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.53 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.18/1.53 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.18/1.53 T, X ), X ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.18/1.53 X ), Z, X ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.18/1.53 T, X ), X ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.18/1.53 X ), T, X ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.18/1.53 T, X ), X ) ) ],
% 1.18/1.53 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.18/1.53 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.18/1.53 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.18/1.53 X ), T, X ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.53 , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 Z, T, X ) ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.18/1.53 , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 Z, T, X ) ) ) ],
% 1.18/1.53 [ =( 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.18/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ) ) ],
% 1.18/1.53 [ =( 'c_HOL_Otimes__class_Otimes'( X, hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.18/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.18/1.53 Y, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.18/1.53 X ), Z ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.18/1.53 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 Y, T, X ) ) ) ],
% 1.18/1.53 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 1.18/1.53 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.18/1.53 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.53 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( hAPP(
% 1.18/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( hAPP(
% 1.18/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( hAPP(
% 1.18/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.18/1.53 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__XlessE__1__1'( Y, X ) ) ),
% 1.18/1.53 =( X, 'c_Suc'( Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.18/1.53 'tc_nat' ), X ) ) ) ],
% 1.18/1.53 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'(
% 1.18/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 1.18/1.53 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1'( X, Y ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.18/1.53 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 'c_Suc'( X ), Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.18/1.53 'c_Suc'( X ), Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z
% 1.18/1.53 ), X, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z )
% 1.18/1.53 , Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.53 [ 'c_List_Olist__all2'( X, 'c_List_Omap'( Y, Z, T, U ), W, U, V0 ), ~(
% 1.18/1.53 'c_List_Olist__all2'( hAPP( 'c_COMBB'( X, U, 'tc_fun'( V0, 'tc_bool' ), T
% 1.18/1.53 ), Y ), Z, W, T, V0 ) ) ],
% 1.18/1.53 [ 'c_List_Olist__all2'( hAPP( 'c_COMBB'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 1.18/1.53 , T ), U ), W, V0, T, Z ), ~( 'c_List_Olist__all2'( X, 'c_List_Omap'( U,
% 1.18/1.53 W, T, Y ), V0, Y, Z ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.18/1.53 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 1.18/1.53 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.18/1.53 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), =( hAPP(
% 1.18/1.53 hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y )
% 1.18/1.53 ],
% 1.18/1.53 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 1.18/1.53 'c_Lambda_OdB_OVar'( Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.18/1.53 , 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 1.18/1.53 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 1.18/1.53 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 1.18/1.53 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 1.18/1.53 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 1.18/1.53 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.18/1.53 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.18/1.53 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.18/1.53 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 1.18/1.53 [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.18/1.53 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 1.18/1.53 ) ],
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.18/1.53 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 1.18/1.53 , Y ) ],
% 1.18/1.53 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 1.18/1.53 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 1.18/1.53 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 1.18/1.53 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 1.18/1.53 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 1.18/1.53 'c_Type_Otypings'( X, T, U ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 1.18/1.53 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 1.18/1.53 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 1.18/1.53 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 1.18/1.53 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 1.18/1.53 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 1.18/1.53 , 'tc_Lambda_OdB' ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( hAPP( Y, Z ), X ), hAPP( Y, T ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( hAPP( Y,
% 1.18/1.53 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1'( Y
% 1.18/1.53 , X ) ), X ), hAPP( Y, 'c_Suc'(
% 1.18/1.53 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1'( Y
% 1.18/1.53 , X ) ) ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( hAPP( T, Y ), X ), hAPP( T, Z ) ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( T,
% 1.18/1.53 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1'(
% 1.18/1.53 T, X ) ), X ), hAPP( T, 'c_Suc'(
% 1.18/1.53 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1'(
% 1.18/1.53 T, X ) ) ) ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( hAPP( Y, Z ), X ), hAPP( Y, T ) ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( hAPP( Y,
% 1.18/1.53 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1'(
% 1.18/1.53 Y, X ) ), X ), hAPP( Y, 'c_Suc'(
% 1.18/1.53 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1'(
% 1.18/1.53 Y, X ) ) ) ) ) ) ],
% 1.18/1.53 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 1.18/1.53 'c_List_Ofilter'( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_and', 'tc_bool',
% 1.18/1.53 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), Y ), X, T, 'tc_bool', 'tc_bool' )
% 1.18/1.53 , Z, T ) ) ],
% 1.18/1.53 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'(
% 1.18/1.53 'c_Suc'( 'v_n' ), 'tc_nat' ) ) ],
% 1.18/1.53 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ), X ) ) ],
% 1.18/1.53 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.18/1.53 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ) ) ) ],
% 1.18/1.53 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.18/1.53 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.18/1.53 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 1.18/1.53 'tc_Lambda_OdB' ) ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 1.18/1.53 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 1.18/1.53 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.18/1.53 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.18/1.53 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.18/1.53 'c_List_Ofoldl'( hAPP( 'c_COMBB'( 'c_COMBB'( Y, T, Z, V1 ), 'tc_fun'( V1
% 1.18/1.53 , T ), 'tc_fun'( V1, Z ), Z ), hAPP( 'c_COMBB'( U, T, 'tc_fun'( V1, T ),
% 1.18/1.53 Z ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.18/1.53 [ =( 'c_List_Olistsp'( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_and', 'tc_bool',
% 1.18/1.53 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), X ), Y, 't_a', 'tc_bool',
% 1.18/1.53 'tc_bool' ), 'v_x', 't_a' ), hAPP( hAPP( 'c_and', 'c_List_Olistsp'( X,
% 1.18/1.53 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y, 'v_x', 't_a' ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 1.18/1.53 ) ],
% 1.18/1.53 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.18/1.53 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.18/1.53 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.18/1.53 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 1.18/1.53 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.18/1.53 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 1.18/1.53 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 1.18/1.53 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ),
% 1.18/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.18/1.53 ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.18/1.53 ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.18/1.53 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 1.18/1.53 ~( hBOOL( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) )
% 1.18/1.53 ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.18/1.53 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.18/1.53 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.18/1.53 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.18/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.18/1.53 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 1.18/1.53 , Y ) ],
% 1.18/1.53 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.18/1.53 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.18/1.53 , Y ) ) ],
% 1.18/1.53 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.18/1.53 'c_Suc'( X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.18/1.53 , X ) ) ],
% 1.18/1.53 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.18/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y
% 1.18/1.53 ) ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.18/1.53 Z ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.18/1.53 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 1.18/1.53 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 1.18/1.53 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 1.18/1.53 ],
% 1.18/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 1.18/1.53 ) ) ) ],
% 1.18/1.53 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.18/1.53 , W ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.18/1.53 ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.18/1.53 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.18/1.53 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.18/1.53 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 1.18/1.53 'c_Lambda_OdB_OVar'( X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X
% 1.18/1.53 , 'tc_nat' ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.18/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), 'c_Suc'( X ) ) ) )
% 1.18/1.53 ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.18/1.53 ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.18/1.53 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 1.18/1.53 Z ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ),
% 1.18/1.53 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.18/1.53 ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.18/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ),
% 1.18/1.53 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.18/1.53 ), Y ) ) ) ],
% 1.18/1.53 [ hBOOL( 'c_List_Olistsp'( 'c_COMBS'( hAPP( 'c_COMBB'( 'c_and',
% 1.18/1.53 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.18/1.53 'c_InductTermi_OIT' ), hAPP( 'c_COMBB'( 'c_All'( 'tc_nat' ), 'tc_fun'(
% 1.18/1.53 'tc_nat', 'tc_bool' ), 'tc_bool', 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.18/1.53 'c_COMBB'( 'c_InductTermi_OIT', 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.18/1.53 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.18/1.53 'tc_Lambda_OdB' ), 'c_Lambda_Olift' ) ), 'tc_Lambda_OdB', 'tc_bool',
% 1.18/1.53 'tc_bool' ), 'v_rs', 'tc_Lambda_OdB' ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_ia', 'tc_nat' ), 'c_Suc'(
% 1.18/1.53 'v_n' ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ),
% 1.18/1.53 'v_ia' ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_Suc'( 'v_n' ) ),
% 1.18/1.53 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', 'v_ia', 'tc_Lambda_OdB',
% 1.18/1.53 'tc_nat', 'tc_Lambda_OdB' ), 'v_rs', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP(
% 1.18/1.53 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'v_ia' ) ) ],
% 1.18/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_ia', 'tc_nat' ), 'c_Suc'(
% 1.18/1.53 'v_n' ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n' ), 'c_List_Omap'(
% 1.18/1.53 'c_COMBC'( 'c_Lambda_Olift', 'v_ia', 'tc_Lambda_OdB', 'tc_nat',
% 1.18/1.53 'tc_Lambda_OdB' ), 'v_rs', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 1.18/1.53 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 1.18/1.53 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_Suc'( 'v_n' ) ),
% 1.18/1.53 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', 'v_ia', 'tc_Lambda_OdB',
% 1.18/1.53 'tc_nat', 'tc_Lambda_OdB' ), 'v_rs', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP(
% 1.18/1.53 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.18/1.53 'c_Lambda_OdB_OVar'( 'v_n' ), 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift'
% 1.18/1.53 , 'v_ia', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'v_rs',
% 1.18/1.53 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) )
% 1.18/1.53 ) ) ],
% 1.18/1.53 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.18/1.53 'class_Orderings_Opreorder'( Y ) ) ],
% 1.18/1.53 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.18/1.53 'class_Orderings_Oorder'( Y ) ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.18/1.53 ],
% 1.18/1.53 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.18/1.53 ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.18/1.53 ],
% 1.18/1.53 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.18/1.53 ,
% 1.18/1.53 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.18/1.53 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.18/1.53 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.18/1.53 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.18/1.53 , W ) ) ) ],
% 1.18/1.53 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.18/1.58 ,
% 1.18/1.58 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 1.18/1.58 ) ) ) ],
% 1.18/1.58 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.18/1.58 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.18/1.58 ] .
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58 percentage equality = 0.251058, percentage horn = 0.892491
% 1.18/1.58 This is a problem with some equality
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58 Options Used:
% 1.18/1.58
% 1.18/1.58 useres = 1
% 1.18/1.58 useparamod = 1
% 1.18/1.58 useeqrefl = 1
% 1.18/1.58 useeqfact = 1
% 1.18/1.58 usefactor = 1
% 1.18/1.58 usesimpsplitting = 0
% 1.18/1.58 usesimpdemod = 5
% 1.18/1.58 usesimpres = 3
% 1.18/1.58
% 1.18/1.58 resimpinuse = 1000
% 1.18/1.58 resimpclauses = 20000
% 1.18/1.58 substype = eqrewr
% 1.18/1.58 backwardsubs = 1
% 1.18/1.58 selectoldest = 5
% 1.18/1.58
% 1.18/1.58 litorderings [0] = split
% 1.18/1.58 litorderings [1] = extend the termordering, first sorting on arguments
% 1.18/1.58
% 1.18/1.58 termordering = kbo
% 1.18/1.58
% 1.18/1.58 litapriori = 0
% 1.18/1.58 termapriori = 1
% 1.18/1.58 litaposteriori = 0
% 1.18/1.58 termaposteriori = 0
% 1.18/1.58 demodaposteriori = 0
% 1.18/1.58 ordereqreflfact = 0
% 1.18/1.58
% 1.18/1.58 litselect = negord
% 1.18/1.58
% 1.18/1.58 maxweight = 15
% 1.18/1.58 maxdepth = 30000
% 1.18/1.58 maxlength = 115
% 1.18/1.58 maxnrvars = 195
% 1.18/1.58 excuselevel = 1
% 1.18/1.58 increasemaxweight = 1
% 1.18/1.58
% 1.18/1.58 maxselected = 10000000
% 1.18/1.58 maxnrclauses = 10000000
% 1.18/1.58
% 1.18/1.58 showgenerated = 0
% 1.18/1.58 showkept = 0
% 1.18/1.58 showselected = 0
% 1.18/1.58 showdeleted = 0
% 1.18/1.58 showresimp = 1
% 1.18/1.58 showstatus = 2000
% 1.18/1.58
% 1.18/1.58 prologoutput = 1
% 1.18/1.58 nrgoals = 5000000
% 1.18/1.58 totalproof = 1
% 1.18/1.58
% 1.18/1.58 Symbols occurring in the translation:
% 1.18/1.58
% 1.18/1.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.18/1.58 . [1, 2] (w:1, o:140, a:1, s:1, b:0),
% 1.18/1.58 ! [4, 1] (w:0, o:87, a:1, s:1, b:0),
% 1.18/1.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.18/1.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Oordered__ring__strict' [40, 1] (w:1, o:96
% 1.18/1.58 , a:1, s:1, b:0),
% 1.18/1.58 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.18/1.58 'c_lessequals' [44, 2] (w:1, o:165, a:1, s:1, b:0),
% 1.18/1.58 hAPP [46, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.18/1.58 hBOOL [47, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.18/1.58 'c_HOL_Oord__class_Oless' [48, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.18/1.58 'c_HOL_Ozero__class_Ozero' [49, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Oordered__semiring__strict' [50, 1] (w:1, o:
% 1.18/1.58 99, a:1, s:1, b:0),
% 1.18/1.58 'tc_nat' [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.18/1.58 'c_HOL_Ominus__class_Ominus' [53, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.18/1.58 'c_HOL_Oplus__class_Oplus' [54, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.18/1.58 'c_Lambda_Osubst' [58, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.18/1.58 'tc_Lambda_OdB' [60, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.18/1.58 'tc_fun' [61, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.18/1.58 'c_COMBC' [62, 5] (w:1, o:186, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Omap' [65, 4] (w:1, o:182, a:1, s:1, b:0),
% 1.18/1.58 'c_Type_Otypings' [67, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.18/1.58 'tc_Type_Otype' [69, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.18/1.58 'c_Type_Oshift' [70, 4] (w:1, o:183, a:1, s:1, b:0),
% 1.18/1.58 'c_Type_Otyping' [71, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Osemiring' [73, 1] (w:1, o:103, a:1, s:1, b:0
% 1.18/1.58 ),
% 1.18/1.58 'class_OrderedGroup_Opordered__comm__monoid__add' [74, 1] (w:1, o:104
% 1.18/1.58 , a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Oidom' [75, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.18/1.58 'class_Int_Onumber__ring' [76, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.18/1.58 'class_OrderedGroup_Ogroup__add' [79, 1] (w:1, o:107, a:1, s:1, b:0)
% 1.18/1.58 ,
% 1.18/1.58 'class_OrderedGroup_Oab__group__add' [80, 1] (w:1, o:108, a:1, s:1
% 1.18/1.58 , b:0),
% 1.18/1.58 'c_List_Olist_ONil' [82, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Ofilter' [83, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.18/1.58 'c_fequal' [86, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olist__all2' [87, 5] (w:1, o:187, a:1, s:1, b:0),
% 1.18/1.58 'c_Suc' [88, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.18/1.58 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [93, 1]
% 1.18/1.58 (w:1, o:112, a:1, s:1, b:0),
% 1.18/1.58 'class_OrderedGroup_Ocomm__monoid__add' [94, 1] (w:1, o:113, a:1, s:1
% 1.18/1.58 , b:0),
% 1.18/1.58 'class_Ring__and__Field_Ocomm__semiring__1' [96, 1] (w:1, o:114, a:1
% 1.18/1.58 , s:1, b:0),
% 1.18/1.58 'class_OrderedGroup_Oab__semigroup__add' [98, 1] (w:1, o:115, a:1, s:
% 1.18/1.58 1, b:0),
% 1.18/1.58 'class_OrderedGroup_Olordered__ab__group__add' [99, 1] (w:1, o:116
% 6.26/6.63 , a:1, s:1, b:0),
% 6.26/6.63 'class_OrderedGroup_Opordered__ab__semigroup__add' [100, 1] (w:1, o:
% 6.26/6.63 117, a:1, s:1, b:0),
% 6.26/6.63 'c_Lambda_Osubstn' [103, 3] (w:1, o:179, a:1, s:1, b:0),
% 6.26/6.63 'c_Lambda_Oliftn' [104, 3] (w:1, o:180, a:1, s:1, b:0),
% 6.26/6.63 'c_Lambda_Obeta' [106, 2] (w:1, o:169, a:1, s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Oring' [107, 1] (w:1, o:101, a:1, s:1, b:0),
% 6.26/6.63
% 6.26/6.63 'class_Ring__and__Field_Opordered__ring' [108, 1] (w:1, o:122, a:1
% 6.26/6.63 , s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Opordered__cancel__semiring' [109, 1] (w:1
% 6.26/6.63 , o:123, a:1, s:1, b:0),
% 6.26/6.63 'class_OrderedGroup_Ocancel__ab__semigroup__add' [110, 1] (w:1, o:124
% 6.26/6.63 , a:1, s:1, b:0),
% 6.26/6.63 'class_OrderedGroup_Ocancel__semigroup__add' [111, 1] (w:1, o:125, a:
% 6.26/6.63 1, s:1, b:0),
% 6.26/6.63 'c_Lambda_OdB_OVar' [112, 1] (w:1, o:126, a:1, s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Oordered__comm__semiring__strict' [113, 1]
% 6.26/6.63 (w:1, o:118, a:1, s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Opordered__semiring' [116, 1] (w:1, o:127, a:
% 6.26/6.63 1, s:1, b:0),
% 6.26/6.63 'class_OrderedGroup_Omonoid__add' [117, 1] (w:1, o:128, a:1, s:1, b:0
% 6.26/6.63 ),
% 6.26/6.63 'c_Lambda_OdB_OAbs' [118, 1] (w:1, o:129, a:1, s:1, b:0),
% 6.26/6.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [119, 1]
% 6.26/6.63 (w:1, o:130, a:1, s:1, b:0),
% 6.26/6.63 'class_Orderings_Olinorder' [120, 1] (w:1, o:131, a:1, s:1, b:0),
% 6.26/6.63 'class_Orderings_Oorder' [121, 1] (w:1, o:132, a:1, s:1, b:0),
% 6.26/6.63 'class_OrderedGroup_Opordered__ab__group__add' [122, 1] (w:1, o:133
% 6.26/6.63 , a:1, s:1, b:0),
% 6.26/6.63 'class_Orderings_Opreorder' [123, 1] (w:1, o:134, a:1, s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Oordered__semiring' [124, 1] (w:1, o:119, a:1
% 6.26/6.63 , s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Oring__no__zero__divisors' [125, 1] (w:1, o:
% 6.26/6.63 102, a:1, s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Ono__zero__divisors' [126, 1] (w:1, o:95, a:1
% 6.26/6.63 , s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Oordered__idom' [127, 1] (w:1, o:120, a:1, s:
% 6.26/6.63 1, b:0),
% 6.26/6.63 'c_List_Ofoldl' [129, 5] (w:1, o:188, a:1, s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Omult__zero' [137, 1] (w:1, o:92, a:1, s:1
% 6.26/6.63 , b:0),
% 6.26/6.63 'c_Lambda_OdB_OApp' [138, 0] (w:1, o:61, a:1, s:1, b:0),
% 6.26/6.63 'class_OrderedGroup_Osemigroup__add' [145, 1] (w:1, o:135, a:1, s:1
% 6.26/6.63 , b:0),
% 6.26/6.63 'c_InductTermi_OIT' [146, 0] (w:1, o:66, a:1, s:1, b:0),
% 6.26/6.63 'c_List_Olistsp' [150, 3] (w:1, o:181, a:1, s:1, b:0),
% 6.26/6.63 'c_Lambda_Olift' [151, 0] (w:1, o:69, a:1, s:1, b:0),
% 6.26/6.63 'c_ATP__Linkup_Osko__Nat__XSuc__lessE__1__1' [152, 2] (w:1, o:170, a:
% 6.26/6.63 1, s:1, b:0),
% 6.26/6.63 'c_ATP__Linkup_Osko__Nat__XlessE__1__1' [153, 2] (w:1, o:171, a:1, s:
% 6.26/6.63 1, b:0),
% 6.26/6.63 'class_OrderedGroup_Oab__semigroup__idem__mult' [154, 1] (w:1, o:136
% 6.26/6.63 , a:1, s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Oordered__semidom' [155, 1] (w:1, o:121, a:1
% 6.26/6.63 , s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Omult__mono' [156, 1] (w:1, o:93, a:1, s:1
% 6.26/6.63 , b:0),
% 6.26/6.63 'class_Ring__and__Field_Omult__mono1' [157, 1] (w:1, o:94, a:1, s:1
% 6.26/6.63 , b:0),
% 6.26/6.63 'class_OrderedGroup_Oab__semigroup__mult' [159, 1] (w:1, o:137, a:1
% 6.26/6.63 , s:1, b:0),
% 6.26/6.63 'class_Ring__and__Field_Ocomm__semiring' [160, 1] (w:1, o:138, a:1
% 6.26/6.63 , s:1, b:0),
% 6.26/6.63 'tc_bool' [164, 0] (w:1, o:71, a:1, s:1, b:0),
% 6.26/6.63 'c_COMBB' [165, 4] (w:1, o:184, a:1, s:1, b:0),
% 6.26/6.63 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__1__1' [
% 6.26/6.63 168, 2] (w:1, o:172, a:1, s:1, b:0),
% 6.26/6.63 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__less__iff__1__1'
% 6.26/6.63 [169, 2] (w:1, o:173, a:1, s:1, b:0),
% 6.26/6.63 'c_and' [171, 0] (w:1, o:74, a:1, s:1, b:0),
% 6.26/6.63 'c_COMBS' [172, 5] (w:1, o:189, a:1, s:1, b:0),
% 6.26/6.63 'v_n' [173, 0] (w:1, o:75, a:1, s:1, b:0),
% 6.26/6.63 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [176, 4] (w:1, o:185
% 6.26/6.63 , a:1, s:1, b:0),
% 6.26/6.63 't_a' [177, 0] (w:1, o:77, a:1, s:1, b:0),
% 6.26/6.63 'v_x' [179, 0] (w:1, o:79, a:1, s:1, b:0),
% 6.26/6.63 'c_All' [183, 1] (w:1, o:139, a:1, s:1, b:0),
% 6.26/6.63 'v_rs' [184, 0] (w:1, o:81, a:1, s:1, b:0),
% 6.26/6.63 'v_ia' [185, 0] (w:1, o:82, a:1, s:1, b:0).
% 6.26/6.63
% 6.26/6.63
% 6.26/6.63 Starting Search:
% 6.26/6.63
% 6.26/6.63 Resimplifying inuse:
% 6.26/6.63 Done
% 6.26/6.63
% 6.26/6.63
% 6.26/6.63 Intermediate Status:
% 40.74/41.15 Generated: 3937
% 40.74/41.15 Kept: 2028
% 40.74/41.15 Inuse: 87
% 40.74/41.15 Deleted: 9
% 40.74/41.15 Deletedinuse: 0
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 10186
% 40.74/41.15 Kept: 4427
% 40.74/41.15 Inuse: 105
% 40.74/41.15 Deleted: 73
% 40.74/41.15 Deletedinuse: 2
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 16886
% 40.74/41.15 Kept: 6430
% 40.74/41.15 Inuse: 126
% 40.74/41.15 Deleted: 124
% 40.74/41.15 Deletedinuse: 2
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 25356
% 40.74/41.15 Kept: 8511
% 40.74/41.15 Inuse: 187
% 40.74/41.15 Deleted: 133
% 40.74/41.15 Deletedinuse: 4
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 33785
% 40.74/41.15 Kept: 10524
% 40.74/41.15 Inuse: 227
% 40.74/41.15 Deleted: 134
% 40.74/41.15 Deletedinuse: 4
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 42637
% 40.74/41.15 Kept: 12590
% 40.74/41.15 Inuse: 265
% 40.74/41.15 Deleted: 135
% 40.74/41.15 Deletedinuse: 4
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 50953
% 40.74/41.15 Kept: 14753
% 40.74/41.15 Inuse: 293
% 40.74/41.15 Deleted: 137
% 40.74/41.15 Deletedinuse: 4
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 59754
% 40.74/41.15 Kept: 16792
% 40.74/41.15 Inuse: 326
% 40.74/41.15 Deleted: 139
% 40.74/41.15 Deletedinuse: 4
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 68186
% 40.74/41.15 Kept: 19559
% 40.74/41.15 Inuse: 345
% 40.74/41.15 Deleted: 141
% 40.74/41.15 Deletedinuse: 5
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying clauses:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 75704
% 40.74/41.15 Kept: 21865
% 40.74/41.15 Inuse: 375
% 40.74/41.15 Deleted: 484
% 40.74/41.15 Deletedinuse: 5
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 83514
% 40.74/41.15 Kept: 23955
% 40.74/41.15 Inuse: 410
% 40.74/41.15 Deleted: 484
% 40.74/41.15 Deletedinuse: 5
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 89474
% 40.74/41.15 Kept: 26055
% 40.74/41.15 Inuse: 420
% 40.74/41.15 Deleted: 485
% 40.74/41.15 Deletedinuse: 6
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 95419
% 40.74/41.15 Kept: 28096
% 40.74/41.15 Inuse: 430
% 40.74/41.15 Deleted: 485
% 40.74/41.15 Deletedinuse: 6
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 106697
% 40.74/41.15 Kept: 30096
% 40.74/41.15 Inuse: 465
% 40.74/41.15 Deleted: 487
% 40.74/41.15 Deletedinuse: 8
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 119545
% 40.74/41.15 Kept: 32206
% 40.74/41.15 Inuse: 480
% 40.74/41.15 Deleted: 487
% 40.74/41.15 Deletedinuse: 8
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 132425
% 40.74/41.15 Kept: 34209
% 40.74/41.15 Inuse: 492
% 40.74/41.15 Deleted: 487
% 40.74/41.15 Deletedinuse: 8
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 145185
% 40.74/41.15 Kept: 36211
% 40.74/41.15 Inuse: 500
% 40.74/41.15 Deleted: 487
% 40.74/41.15 Deletedinuse: 8
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 154039
% 40.74/41.15 Kept: 39097
% 40.74/41.15 Inuse: 515
% 40.74/41.15 Deleted: 493
% 40.74/41.15 Deletedinuse: 14
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying clauses:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 163683
% 40.74/41.15 Kept: 41189
% 40.74/41.15 Inuse: 547
% 40.74/41.15 Deleted: 762
% 40.74/41.15 Deletedinuse: 20
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 172148
% 40.74/41.15 Kept: 43190
% 40.74/41.15 Inuse: 575
% 40.74/41.15 Deleted: 762
% 40.74/41.15 Deletedinuse: 20
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 182252
% 40.74/41.15 Kept: 45423
% 40.74/41.15 Inuse: 602
% 40.74/41.15 Deleted: 762
% 40.74/41.15 Deletedinuse: 20
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 197546
% 40.74/41.15 Kept: 47462
% 40.74/41.15 Inuse: 632
% 40.74/41.15 Deleted: 762
% 40.74/41.15 Deletedinuse: 20
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 211816
% 40.74/41.15 Kept: 49476
% 40.74/41.15 Inuse: 675
% 40.74/41.15 Deleted: 762
% 40.74/41.15 Deletedinuse: 20
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 224307
% 40.74/41.15 Kept: 51977
% 40.74/41.15 Inuse: 707
% 40.74/41.15 Deleted: 763
% 40.74/41.15 Deletedinuse: 21
% 40.74/41.15
% 40.74/41.15 Resimplifying inuse:
% 40.74/41.15 Done
% 40.74/41.15
% 40.74/41.15
% 40.74/41.15 Intermediate Status:
% 40.74/41.15 Generated: 237940
% 102.85/103.24 Kept: 55228
% 102.85/103.24 Inuse: 722
% 102.85/103.24 Deleted: 763
% 102.85/103.24 Deletedinuse: 21
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 248194
% 102.85/103.24 Kept: 57752
% 102.85/103.24 Inuse: 727
% 102.85/103.24 Deleted: 763
% 102.85/103.24 Deletedinuse: 21
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 256653
% 102.85/103.24 Kept: 59752
% 102.85/103.24 Inuse: 750
% 102.85/103.24 Deleted: 768
% 102.85/103.24 Deletedinuse: 22
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying clauses:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 265998
% 102.85/103.24 Kept: 61754
% 102.85/103.24 Inuse: 771
% 102.85/103.24 Deleted: 1797
% 102.85/103.24 Deletedinuse: 22
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 274456
% 102.85/103.24 Kept: 63769
% 102.85/103.24 Inuse: 791
% 102.85/103.24 Deleted: 1797
% 102.85/103.24 Deletedinuse: 22
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 295952
% 102.85/103.24 Kept: 66452
% 102.85/103.24 Inuse: 798
% 102.85/103.24 Deleted: 1797
% 102.85/103.24 Deletedinuse: 22
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 317297
% 102.85/103.24 Kept: 69090
% 102.85/103.24 Inuse: 803
% 102.85/103.24 Deleted: 1798
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 328718
% 102.85/103.24 Kept: 71109
% 102.85/103.24 Inuse: 814
% 102.85/103.24 Deleted: 1798
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 344140
% 102.85/103.24 Kept: 74411
% 102.85/103.24 Inuse: 823
% 102.85/103.24 Deleted: 1798
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 356776
% 102.85/103.24 Kept: 77576
% 102.85/103.24 Inuse: 833
% 102.85/103.24 Deleted: 1798
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 365608
% 102.85/103.24 Kept: 80264
% 102.85/103.24 Inuse: 848
% 102.85/103.24 Deleted: 1798
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying clauses:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 379589
% 102.85/103.24 Kept: 83313
% 102.85/103.24 Inuse: 858
% 102.85/103.24 Deleted: 2105
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 395986
% 102.85/103.24 Kept: 86246
% 102.85/103.24 Inuse: 863
% 102.85/103.24 Deleted: 2105
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 412728
% 102.85/103.24 Kept: 89189
% 102.85/103.24 Inuse: 868
% 102.85/103.24 Deleted: 2105
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 428902
% 102.85/103.24 Kept: 91941
% 102.85/103.24 Inuse: 873
% 102.85/103.24 Deleted: 2105
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 438742
% 102.85/103.24 Kept: 94177
% 102.85/103.24 Inuse: 893
% 102.85/103.24 Deleted: 2105
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 457494
% 102.85/103.24 Kept: 97170
% 102.85/103.24 Inuse: 898
% 102.85/103.24 Deleted: 2105
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 476832
% 102.85/103.24 Kept: 100197
% 102.85/103.24 Inuse: 903
% 102.85/103.24 Deleted: 2105
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying clauses:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 488794
% 102.85/103.24 Kept: 102427
% 102.85/103.24 Inuse: 923
% 102.85/103.24 Deleted: 2225
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 500637
% 102.85/103.24 Kept: 104594
% 102.85/103.24 Inuse: 943
% 102.85/103.24 Deleted: 2225
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 513280
% 102.85/103.24 Kept: 107099
% 102.85/103.24 Inuse: 963
% 102.85/103.24 Deleted: 2225
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 522794
% 102.85/103.24 Kept: 109453
% 102.85/103.24 Inuse: 973
% 102.85/103.24 Deleted: 2225
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 571917
% 102.85/103.24 Kept: 115533
% 102.85/103.24 Inuse: 983
% 102.85/103.24 Deleted: 2225
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 616845
% 102.85/103.24 Kept: 120414
% 102.85/103.24 Inuse: 988
% 102.85/103.24 Deleted: 2225
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying clauses:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 627219
% 102.85/103.24 Kept: 122488
% 102.85/103.24 Inuse: 1003
% 102.85/103.24 Deleted: 2529
% 102.85/103.24 Deletedinuse: 23
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24 Resimplifying inuse:
% 102.85/103.24 Done
% 102.85/103.24
% 102.85/103.24
% 102.85/103.24 Intermediate Status:
% 102.85/103.24 Generated: 646812
% 214.90/215.30 Kept: 124531
% 214.90/215.30 Inuse: 1038
% 214.90/215.30 Deleted: 2529
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 658998
% 214.90/215.30 Kept: 127323
% 214.90/215.30 Inuse: 1048
% 214.90/215.30 Deleted: 2529
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 671844
% 214.90/215.30 Kept: 131121
% 214.90/215.30 Inuse: 1056
% 214.90/215.30 Deleted: 2529
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 691961
% 214.90/215.30 Kept: 133954
% 214.90/215.30 Inuse: 1068
% 214.90/215.30 Deleted: 2529
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 724161
% 214.90/215.30 Kept: 137612
% 214.90/215.30 Inuse: 1078
% 214.90/215.30 Deleted: 2529
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 733957
% 214.90/215.30 Kept: 139983
% 214.90/215.30 Inuse: 1098
% 214.90/215.30 Deleted: 2529
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying clauses:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 742859
% 214.90/215.30 Kept: 142322
% 214.90/215.30 Inuse: 1113
% 214.90/215.30 Deleted: 2803
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 752715
% 214.90/215.30 Kept: 144759
% 214.90/215.30 Inuse: 1128
% 214.90/215.30 Deleted: 2803
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 770686
% 214.90/215.30 Kept: 147004
% 214.90/215.30 Inuse: 1138
% 214.90/215.30 Deleted: 2803
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 781784
% 214.90/215.30 Kept: 149405
% 214.90/215.30 Inuse: 1153
% 214.90/215.30 Deleted: 2803
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 795441
% 214.90/215.30 Kept: 151986
% 214.90/215.30 Inuse: 1173
% 214.90/215.30 Deleted: 2803
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 814582
% 214.90/215.30 Kept: 155875
% 214.90/215.30 Inuse: 1178
% 214.90/215.30 Deleted: 2803
% 214.90/215.30 Deletedinuse: 23
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 826139
% 214.90/215.30 Kept: 158240
% 214.90/215.30 Inuse: 1193
% 214.90/215.30 Deleted: 2804
% 214.90/215.30 Deletedinuse: 24
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 844392
% 214.90/215.30 Kept: 162160
% 214.90/215.30 Inuse: 1213
% 214.90/215.30 Deleted: 2804
% 214.90/215.30 Deletedinuse: 24
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying clauses:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 858826
% 214.90/215.30 Kept: 164778
% 214.90/215.30 Inuse: 1233
% 214.90/215.30 Deleted: 3513
% 214.90/215.30 Deletedinuse: 25
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 871014
% 214.90/215.30 Kept: 166903
% 214.90/215.30 Inuse: 1248
% 214.90/215.30 Deleted: 3513
% 214.90/215.30 Deletedinuse: 25
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 884643
% 214.90/215.30 Kept: 169401
% 214.90/215.30 Inuse: 1268
% 214.90/215.30 Deleted: 3518
% 214.90/215.30 Deletedinuse: 30
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 898586
% 214.90/215.30 Kept: 171407
% 214.90/215.30 Inuse: 1285
% 214.90/215.30 Deleted: 3522
% 214.90/215.30 Deletedinuse: 34
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 910785
% 214.90/215.30 Kept: 173411
% 214.90/215.30 Inuse: 1300
% 214.90/215.30 Deleted: 3523
% 214.90/215.30 Deletedinuse: 35
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 928668
% 214.90/215.30 Kept: 175622
% 214.90/215.30 Inuse: 1303
% 214.90/215.30 Deleted: 3523
% 214.90/215.30 Deletedinuse: 35
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 940665
% 214.90/215.30 Kept: 177638
% 214.90/215.30 Inuse: 1327
% 214.90/215.30 Deleted: 3537
% 214.90/215.30 Deletedinuse: 49
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 962826
% 214.90/215.30 Kept: 181883
% 214.90/215.30 Inuse: 1348
% 214.90/215.30 Deleted: 3558
% 214.90/215.30 Deletedinuse: 70
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying clauses:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 976447
% 214.90/215.30 Kept: 184130
% 214.90/215.30 Inuse: 1373
% 214.90/215.30 Deleted: 5336
% 214.90/215.30 Deletedinuse: 73
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 989551
% 214.90/215.30 Kept: 186785
% 214.90/215.30 Inuse: 1383
% 214.90/215.30 Deleted: 5336
% 214.90/215.30 Deletedinuse: 73
% 214.90/215.30
% 214.90/215.30 Resimplifying inuse:
% 214.90/215.30 Done
% 214.90/215.30
% 214.90/215.30
% 214.90/215.30 Intermediate Status:
% 214.90/215.30 Generated: 1000008
% 214.90/215.30 Kept: 189195
% 214.90/215.30 Inuse: 1388
% 214.90/215.30 Deleted: 5337
% 214.90/215.30 DelCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------