TSTP Solution File: LCL804-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL804-1 : 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 07:58:12 EDT 2022
% Result : Timeout 300.08s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL804-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 3 21:33:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.05/1.43 *** allocated 10000 integers for termspace/termends
% 1.05/1.43 *** allocated 10000 integers for clauses
% 1.05/1.43 *** allocated 10000 integers for justifications
% 1.05/1.43 *** allocated 15000 integers for termspace/termends
% 1.05/1.43 *** allocated 22500 integers for termspace/termends
% 1.05/1.43 *** allocated 33750 integers for termspace/termends
% 1.05/1.43 Bliksem 1.12
% 1.05/1.43
% 1.05/1.43
% 1.05/1.43 Automatic Strategy Selection
% 1.05/1.43
% 1.05/1.43 Clauses:
% 1.05/1.43 [
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.05/1.43 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 1.05/1.43 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 1.05/1.43 ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.05/1.43 ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X,
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.05/1.43 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.05/1.43 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z,
% 1.05/1.43 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ) ),
% 1.05/1.43 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 1.05/1.43 ) ), Z ) ), T ), W ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X
% 1.05/1.43 ) ), Z ) ), W ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.05/1.43 ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.05/1.43 ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ) ), Y ) ), U ), 'tc_nat' )
% 1.05/1.43 ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), T ) ), U ), 'tc_nat' )
% 1.05/1.43 , ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T
% 1.05/1.43 ) ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ), 'tc_nat' ) ),
% 1.05/1.43 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.05/1.43 ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.05/1.43 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ) ), Y ) ), Z ), U, 'tc_nat'
% 1.05/1.43 ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ) ), T ), U, 'tc_nat'
% 1.05/1.43 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z
% 1.05/1.43 ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ), 'tc_nat' ) ),
% 1.05/1.43 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_List_Orev'( 'c_List_Olist__update'( X, Y, Z, T ), T ),
% 1.05/1.43 'c_List_Olist__update'( 'c_List_Orev'( X, T ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.43 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ),
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.43 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( T, Y, X
% 1.05/1.43 ) ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.05/1.43 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.43 Y ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 1.05/1.43 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 1.05/1.43 ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.43 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 'c_Suc'( Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.43 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.05/1.43 X ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 1.05/1.43 =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( T,
% 1.05/1.43 'tc_List_Olist'( Z ) ), X, Z ), Y, Z ), U ), 'c_lessequals'(
% 1.05/1.43 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 1.05/1.43 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.43 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.05/1.43 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.43 T, X ) ) ],
% 1.05/1.43 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.05/1.43 'c_List_Olist_ONil'( Y ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 1.05/1.43 'v_sko__Nat__Xnat__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.05/1.43 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.05/1.43 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 1.05/1.43 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 1.05/1.43 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 1.05/1.43 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.43 Z, T, X ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.43 T, X ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 1.05/1.43 =( Y, T ) ],
% 1.05/1.43 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 1.05/1.43 =( X, T ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.43 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.05/1.43 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ),
% 1.05/1.43 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.05/1.43 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 1.05/1.43 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 1.05/1.43 ), =( X, T ) ],
% 1.05/1.43 [ =( 'c_Nat_Onat_Onat__case'( X, Y, Z, T ), hAPP( Y,
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.05/1.43 'tc_nat' ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.05/1.43 Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.43 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ),
% 1.05/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.05/1.43 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.05/1.43 ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ), 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.43 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.05/1.43 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.05/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.43 Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.05/1.43 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.05/1.43 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.43 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.43 Z, X ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.43 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.05/1.43 ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.43 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.05/1.43 ) ) ],
% 1.05/1.43 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 1.05/1.43 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 1.05/1.43 ],
% 1.05/1.43 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.05/1.43 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 Z, X, 'tc_nat' ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ) ), Y ) ), U ), 'tc_nat' )
% 1.05/1.43 ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ) ), Y ) ), Z ), U, 'tc_nat'
% 1.05/1.43 ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.05/1.43 ), Z ), Y ) ],
% 1.05/1.43 [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ),
% 1.05/1.43 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ),
% 1.05/1.43 'tc_List_Olist'( Y ) ) ) ],
% 1.05/1.43 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 1.05/1.43 hBOOL( hAPP( X, Z ) ) ],
% 1.05/1.43 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 1.05/1.43 hBOOL( hAPP( X, Z ) ) ],
% 1.05/1.43 [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 1.05/1.43 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( 'tc_nat' ), X ), Y ), Z, T )
% 1.05/1.43 ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y )
% 1.05/1.43 , 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ), Y, 'tc_nat' ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.05/1.43 , 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ), X, 'tc_nat' ) ],
% 1.05/1.43 [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.05/1.43 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 1.05/1.43 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.05/1.43 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 1.05/1.43 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 1.05/1.43 'v_sko__Nat__Xnat__Xinducts__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.05/1.43 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.05/1.43 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 1.05/1.43 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.05/1.43 Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.05/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.05/1.43 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.43 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.05/1.43 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y,
% 1.05/1.43 'tc_List_Olist'( Z ) ) ) ) ],
% 1.05/1.43 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 1.05/1.43 'c_List_Oappend'( X, 'c_List_Olist__update'( Y,
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.43 'tc_List_Olist'( Z ) ), 'tc_nat' ), U, Z ), Z ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.43 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 1.05/1.43 [ =( 'c_List_Otake'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 1.05/1.43 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.43 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.05/1.43 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.05/1.43 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 1.05/1.43 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 1.05/1.43 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.43 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 1.05/1.43 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.43 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ), 'c_List_Oappend'( Z, T, Y )
% 1.05/1.43 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 1.05/1.43 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), 'tc_nat' ) )
% 1.05/1.43 ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.05/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.05/1.43 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.43 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.43 [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'c_List_Odrop'( X, Z, T )
% 1.05/1.43 , T ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.05/1.43 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.05/1.43 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 1.05/1.43 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 1.05/1.43 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.05/1.43 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.05/1.43 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 1.05/1.43 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.05/1.43 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( X
% 1.05/1.43 , Z, Y ), Y ) ) ],
% 1.05/1.43 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( Z
% 1.05/1.43 , X, Y ), Y ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.05/1.43 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.05/1.43 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 1.05/1.43 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.05/1.43 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 1.05/1.43 , X ) ), T ), 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 1.05/1.43 Z, T, X ) ), 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.05/1.43 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.05/1.43 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.05/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.05/1.43 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 1.05/1.43 Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.05/1.43 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.05/1.43 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 1.05/1.43 'v_sko__List__Xupt__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 1.05/1.43 'v_sko__List__Xreplicate__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.05/1.43 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.05/1.43 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.43 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y
% 1.05/1.43 , 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.05/1.43 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 1.05/1.43 ) ), U ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), T ), U ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.05/1.43 ) ), T ) ), U ), W, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), T ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 1.05/1.43 , X, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 1.05/1.43 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 'tc_nat' ) ) ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.05/1.43 ), X ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.05/1.43 ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.05/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 X, T, 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.43 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.05/1.43 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.43 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.05/1.43 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 1.05/1.43 'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1'( X ) ) ) ) ), ~( hBOOL(
% 1.05/1.43 hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.43 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.05/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.05/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.05/1.43 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.05/1.43 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.05/1.43 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.05/1.43 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X
% 1.05/1.43 ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.05/1.43 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.05/1.43 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.43 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.05/1.43 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.05/1.43 'c_List_Olist_ONil'( Y ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.05/1.43 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.05/1.43 ) ) ],
% 1.05/1.43 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 1.05/1.43 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y
% 1.05/1.43 , X, 'tc_nat' ) ), Z ) ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ),
% 1.05/1.43 Z ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ),
% 1.05/1.43 T ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.05/1.43 Z, T, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.05/1.43 Y, T, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.05/1.43 Z, T, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.05/1.43 Y, T, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ),
% 1.05/1.43 Z ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ),
% 1.05/1.43 T ), X ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), hAPP( hAPP( hAPP(
% 1.05/1.43 'c_Type_Oshift'( X ), Y ), Z ), T ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ) ), U ), hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), hAPP( hAPP(
% 1.05/1.43 hAPP( 'c_Type_Oshift'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.05/1.43 , U ) ), 'c_Suc'( Z ) ), T ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 1.05/1.43 =( Y, 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.43 'tc_List_Olist'( Z ) ), T, Z ), U, Z ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 1.05/1.43 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.05/1.43 Y ) ) ],
% 1.05/1.43 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 1.05/1.43 ) ],
% 1.05/1.43 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 1.05/1.43 ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.43 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.05/1.43 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.05/1.43 [ =( 'c_List_Otake'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Otake'( X, Z, T ),
% 1.05/1.43 'c_List_Otake'( Y, 'c_List_Odrop'( X, Z, T ), T ), T ) ), ~(
% 1.05/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.43 Y ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( T ) ), 'tc_nat' ) )
% 1.05/1.43 ],
% 1.05/1.43 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.43 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.43 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), U ) ), W ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), T ) ), U ), W, X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~(
% 1.05/1.43 'c_lessequals'( T, X, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X
% 1.05/1.43 , T, 'tc_nat' ) ), Y ) ), Z ), U ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~(
% 1.05/1.43 'c_lessequals'( X, T, 'tc_nat' ) ), =( Z, hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.43 , X, 'tc_nat' ) ), Y ) ), U ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 'tc_nat' ) ), Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 'tc_nat' ) ), Y ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.43 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.05/1.43 ), Y ), 'c_Suc'( Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X
% 1.05/1.43 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), Y ) ) ), =( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 1.05/1.43 X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 1.05/1.43 ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 1.05/1.43 X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y ), Z ) ), T ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y ), Z ) ), T ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.43 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 1.05/1.43 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ),
% 1.05/1.43 X ), 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 1.05/1.43 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.43 Y ), 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ =( 'c_List_Otake'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.05/1.43 Y, 'c_List_Otake'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.05/1.43 ), Y ), Z, T ), T ) ) ],
% 1.05/1.43 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.05/1.43 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 1.05/1.43 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 1.05/1.43 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.05/1.43 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.05/1.43 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ), ~( 'c_lessequals'( Y
% 1.05/1.43 , Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ) ), 'c_lessequals'( Y,
% 1.05/1.43 Z, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z ), ~( 'c_lessequals'( Z
% 1.05/1.43 , Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 1.05/1.43 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.05/1.43 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 1.05/1.43 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.05/1.43 [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Otake'(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 1.05/1.43 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.05/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.05/1.43 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.43 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.05/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.05/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.43 [ hBOOL( hAPP( X, Y ) ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ),
% 1.05/1.43 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 1.05/1.43 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.43 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.05/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.43 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.05/1.43 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.05/1.43 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.05/1.43 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 1.05/1.43 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.05/1.43 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.05/1.43 ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.43 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.43 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.05/1.43 ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.05/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.05/1.43 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.43 , T, X ) ) ), =( Y, Z ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.05/1.43 , T, X ) ) ), =( Z, T ) ],
% 1.05/1.43 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 1.05/1.43 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 1.05/1.43 Y, Z, X ) ), Y ) ],
% 1.05/1.43 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.05/1.43 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 1.05/1.43 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.43 'tc_nat' ) ), =( Y, Z ) ],
% 1.05/1.43 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.05/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.05/1.43 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 1.05/1.43 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.05/1.43 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.05/1.43 Y ) ) ) ],
% 1.05/1.43 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.05/1.43 , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.05/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X )
% 1.05/1.43 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ),
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.05/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z )
% 1.05/1.43 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ),
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.05/1.43 , 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.43 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.05/1.43 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.05/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.43 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.43 ) ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.05/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 1.05/1.43 'c_lessequals'( Y, Z, X ) ],
% 1.05/1.43 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y
% 1.05/1.43 , X, 'tc_nat' ) ), Z ) ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z
% 1.05/1.43 ) ), T ) ) ],
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.43 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.43 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.43 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.43 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.05/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.43 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 1.05/1.43 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.05/1.43 X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 1.05/1.43 X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.05/1.43 X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.05/1.43 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 1.05/1.43 X ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.43 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.43 X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 1.05/1.43 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.43 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 'c_Suc'(
% 1.05/1.43 Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( X )
% 1.05/1.43 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.43 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 1.05/1.43 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), Z ), T
% 1.05/1.43 ) ],
% 1.05/1.43 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 1.05/1.43 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 1.05/1.43 'tc_nat' ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.05/1.43 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.05/1.43 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.05/1.43 'tc_Lambda_OdB' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.05/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.05/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.43 , Y ), T ) ) ) ],
% 1.05/1.43 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_Suc'( Z ), T ), hAPP( Y, Z ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 1.05/1.43 , 'c_List_Olist_ONil'( X ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 1.05/1.43 , 'c_List_Olist_ONil'( X ) ) ],
% 1.05/1.43 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 1.05/1.43 ) ],
% 1.05/1.43 [ ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 1.05/1.43 , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 1.05/1.43 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.43 X ), X ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 1.05/1.43 Y ) ), Z, Y ), X ) ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Z,
% 1.05/1.43 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 1.05/1.43 ) ), 'tc_nat' ), =( 'c_List_Oappend'( Z, T, Y ), 'c_List_Oappend'( X,
% 1.05/1.43 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.43 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ) ), T ), U, 'tc_nat'
% 1.05/1.43 ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ), 'tc_nat' ) ),
% 1.05/1.43 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.05/1.43 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ) ), Y ) ), Z ), U, 'tc_nat'
% 1.05/1.43 ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), T ) ), U ), 'tc_nat' )
% 1.05/1.43 , ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), X ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ), 'tc_nat' ) ),
% 1.05/1.43 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ),
% 1.05/1.43 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.05/1.43 ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.43 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ) ), Y ) ), U ), 'tc_nat' )
% 1.05/1.43 ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.05/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.05/1.43 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 1.05/1.43 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.05/1.43 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 1.05/1.43 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.05/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.43 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.43 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.43 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.05/1.43 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.43 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.43 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.05/1.43 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.05/1.43 , Z ) ],
% 1.05/1.43 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.05/1.43 , Z ) ],
% 1.05/1.43 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 1.05/1.43 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.43 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 1.05/1.43 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 1.05/1.43 , Y ), Y ), Z ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 1.05/1.43 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.05/1.43 Z ) ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.43 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.43 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.43 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.43 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.05/1.43 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.05/1.43 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.05/1.43 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.05/1.43 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.05/1.43 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.05/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.43 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.05/1.43 ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( 'c_lessequals'( Z
% 1.05/1.43 , Y, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.05/1.43 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.43 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), Y ) ), ~(
% 1.05/1.43 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 1.05/1.43 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.05/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.05/1.43 ,
% 1.05/1.43 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 1.05/1.43 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.44 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 1.05/1.44 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.44 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.44 ) ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.05/1.44 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.05/1.44 'tc_nat' ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.44 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.05/1.44 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 1.05/1.44 , Y ) ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Otake'( X, Y, Z ),
% 1.05/1.44 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 1.05/1.44 'tc_nat' ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ), X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 1.05/1.44 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.05/1.44 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y, Z ),
% 1.05/1.44 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 1.05/1.44 ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 1.05/1.44 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.44 , Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.44 , Y, X ) ) ],
% 1.05/1.44 [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.05/1.44 ), Y ), X ), 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), X, 'tc_nat' ), Y ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Y ), Y ), Y ) ],
% 1.05/1.44 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 1.05/1.44 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.44 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 1.05/1.44 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 1.05/1.44 X ) ), Y ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.05/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.44 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 1.05/1.44 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.05/1.44 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 1.05/1.44 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 1.05/1.44 , X ), Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 1.05/1.44 , X ), Z, X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Z ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 1.05/1.44 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Z ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.05/1.44 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.44 , Y, X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( 'c_List_Orotate'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 1.05/1.44 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 1.05/1.44 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 1.05/1.44 'tc_nat' ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), 'c_Lambda_OdB_OVar'( Y
% 1.05/1.44 ) ), hAPP( X, Y ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.05/1.44 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 1.05/1.44 , Y ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.05/1.44 ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.05/1.44 ), 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.44 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.05/1.44 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.05/1.44 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.44 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.05/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.05/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.05/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.05/1.44 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.05/1.44 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, 'c_Suc'( T ), 't_a'
% 1.05/1.44 ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, 'c_Suc'( T ), 't_a'
% 1.05/1.44 ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), X ), Z ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'(
% 1.05/1.44 Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.44 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.44 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), T ), Z ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.44 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.44 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.44 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 1.05/1.44 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.44 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 1.05/1.44 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( 'c_List_Omap'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_List_Oreplicate'(
% 1.05/1.44 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), X, Y ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 1.05/1.44 'c_List_Olist_ONil'( X ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 1.05/1.44 'c_List_Olist_ONil'( X ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 1.05/1.44 'c_List_Olist_ONil'( X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.44 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.05/1.44 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 1.05/1.44 , 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), 'c_Suc'( X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), 'c_Suc'( X ) ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 Y, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), 'c_Suc'( Z ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), 'c_Suc'( Z ) ), Y ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.05/1.44 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.05/1.44 , X, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.05/1.44 'tc_nat' ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.05/1.44 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), Z, 'tc_nat' ), 'tc_nat'
% 1.05/1.44 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.05/1.44 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X,
% 1.05/1.44 'c_List_Olist_ONil'( Y ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.05/1.44 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.05/1.44 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.05/1.44 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.05/1.44 , V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 T, X, U, W, Y, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 T, X, U, Y, W, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.05/1.44 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.05/1.44 , V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 X, T, U, Y, W, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.05/1.44 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.05/1.44 , V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.05/1.44 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.05/1.44 , V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.05/1.44 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.05/1.44 W, V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.05/1.44 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.05/1.44 W, V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.05/1.44 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.05/1.44 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.05/1.44 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.05/1.44 W, V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.05/1.44 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.05/1.44 , V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.05/1.44 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.05/1.44 W, V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oappend'( X, Y, Z ),
% 1.05/1.44 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.05/1.44 ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ) ),
% 1.05/1.44 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ) ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z ),
% 1.05/1.44 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.44 , X ), Y ), 'tc_nat' ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.44 , Y ), X ), 'tc_nat' ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.44 , X ), Y ), 'tc_nat' ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ),
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_List_Otake'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Olist_OCons'( Y, 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( X
% 1.05/1.44 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 1.05/1.44 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.05/1.44 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 1.05/1.44 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.44 'tc_nat' ) ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.05/1.44 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.05/1.44 ), =( Z, Y ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.05/1.44 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.05/1.44 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', Z ),
% 1.05/1.44 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U,
% 1.05/1.44 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Type_Otyping', Z ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 1.05/1.44 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 1.05/1.44 ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 1.05/1.44 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 1.05/1.44 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 1.05/1.44 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.44 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.44 T, X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.44 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.05/1.44 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.05/1.44 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 1.05/1.44 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 1.05/1.44 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.05/1.44 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.05/1.44 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 1.05/1.44 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Oappend'(
% 1.05/1.44 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z, 'c_List_Odrop'(
% 1.05/1.44 'c_Suc'( Y ), X, T ), T ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.44 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Z ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y
% 1.05/1.44 , 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.05/1.44 'c_lessequals'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.05/1.44 'c_lessequals'( Z, T, X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.05/1.44 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 1.05/1.44 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.05/1.44 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 1.05/1.44 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( X, Y, Z, T ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y,
% 1.05/1.44 X, 'tc_nat' ) ), X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), ~( 'c_lessequals'(
% 1.05/1.44 X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ), X ), ~(
% 1.05/1.44 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), U ),
% 1.05/1.44 hAPP( Y, 'c_HOL_Ominus__class_Ominus'( U, 'c_HOL_Oone__class_Oone'(
% 1.05/1.44 'tc_nat' ), 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, U, 'tc_nat'
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.05/1.44 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W, V0,
% 1.05/1.44 V1 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.05/1.44 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W, V0,
% 1.05/1.44 V1 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.05/1.44 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.05/1.44 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.44 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Y ), Z, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat'
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.44 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.05/1.44 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.05/1.44 'c_Suc'( T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.05/1.44 'c_Suc'( T ) ), X ) ) ],
% 1.05/1.44 [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 1.05/1.44 , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 1.05/1.44 'c_List_Olist_ONil'( Y ) ) ],
% 1.05/1.44 [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 1.05/1.44 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.05/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.05/1.44 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.05/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.05/1.44 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.05/1.44 , T ) ],
% 1.05/1.44 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 1.05/1.44 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.44 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orotate'( Z
% 1.05/1.44 , X, Y ), Y ) ) ],
% 1.05/1.44 [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ), ~(
% 1.05/1.44 'c_List_Odistinct'( Y, Z ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 1.05/1.44 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.05/1.44 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.05/1.44 , V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.05/1.44 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.05/1.44 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.05/1.44 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.05/1.44 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.05/1.44 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.05/1.44 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 T, X, U, W, Z, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 T, X, U, W, Y, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 T, X, U, Z, W, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 T, X, U, Y, W, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.05/1.44 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 X, T, U, Z, W, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.44 X, T, U, Y, W, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.05/1.44 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.05/1.44 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.05/1.44 , V0, U, V1 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.05/1.44 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.05/1.44 , V0, U, V1 ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.05/1.44 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.05/1.44 [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.05/1.44 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ), 'c_Suc'(
% 1.05/1.44 T ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), Z ), hAPP(
% 1.05/1.44 hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 1.05/1.44 U ), Z ) ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.44 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 1.05/1.44 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 1.05/1.44 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 1.05/1.44 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y,
% 1.05/1.44 Z ), Z ), Y ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.05/1.44 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.44 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 'c_Suc'( X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.05/1.44 , 'c_Suc'( X ) ), Z ), 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( Z ) ), X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( Z ) ), Y ), 'tc_nat' )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.05/1.44 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.05/1.44 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.05/1.44 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.05/1.44 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.05/1.44 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 1.05/1.44 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 1.05/1.44 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 1.05/1.44 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 1.05/1.44 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 1.05/1.44 Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.05/1.44 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.05/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 1.05/1.44 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 1.05/1.44 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 1.05/1.44 , 'tc_nat' ) ],
% 1.05/1.44 [ =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 1.05/1.44 , 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.44 [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~(
% 1.05/1.44 'c_List_Odistinct'( Y, Z ) ) ],
% 1.05/1.44 [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~( 'c_List_Odistinct'(
% 1.05/1.44 X, Y ) ) ],
% 1.05/1.44 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y
% 1.05/1.44 ), Y ) ) ],
% 1.05/1.44 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Y ), T ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Y ), 'c_Orderings_Oord__class_Omax'(
% 1.05/1.44 Z, T, X ) ), X ) ],
% 1.05/1.44 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 1.05/1.44 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 1.05/1.44 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 1.05/1.44 , 'c_List_Olist_ONil'( Y ) ) ],
% 1.05/1.44 [ =( 'c_nat_Onat__size'( 'c_Suc'( X ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_nat_Onat__size'( X ) ),
% 1.05/1.44 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), X ), Y ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), X ), X ), 'tc_nat' ) ],
% 1.05/1.44 [ =( 'c_List_Odrop'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 1.05/1.44 'tc_nat' ), 'tc_nat' ), Z, T ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.05/1.44 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.05/1.44 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 1.05/1.44 'c_List_Olist_ONil'( Y ) ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.05/1.44 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.44 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 1.05/1.44 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.05/1.44 'c_List_Olist_ONil'( Y ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.05/1.44 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.05/1.44 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T,
% 1.05/1.44 Y, Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( 'tc_nat' ), 'c_Suc'( X
% 1.05/1.44 ) ), 'c_Suc'( Y ) ), 'c_Suc'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 1.05/1.44 'tc_nat' ), X ), Y ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 1.05/1.44 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.05/1.44 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 1.05/1.44 ) ) ) ],
% 1.05/1.44 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.05/1.44 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 1.05/1.44 =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z )
% 1.05/1.44 ), T, Z ) ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.44 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 1.05/1.44 ) ), 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 1.05/1.44 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.44 , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 1.05/1.44 ) ), 'c_Suc'( Z ) ), hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Olift', X ), Z ) ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.05/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.44 , Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.05/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.44 , X, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.05/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.44 , X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.05/1.44 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.05/1.44 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 1.05/1.44 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 1.05/1.44 ],
% 1.05/1.44 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 1.05/1.44 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.05/1.44 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.05/1.44 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 1.05/1.44 'tc_List_Olist'( Z ) ), X ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( hAPP( 'c_Type_Oshift'( X ), Y ), Z ), T ), U ),
% 1.05/1.44 hAPP( Y, U ) ), ~( 'c_HOL_Oord__class_Oless'( U, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 1.05/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.05/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.44 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 1.05/1.44 'c_List_Olist_ONil'( X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.44 ) ), X, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.44 ) ), X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 1.05/1.44 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.05/1.44 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.44 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.05/1.44 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 1.05/1.44 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.44 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.05/1.44 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 1.05/1.44 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.05/1.44 [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Oreplicate'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( 'tc_nat'
% 1.05/1.44 ), X ), Y ), Z, T ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.05/1.44 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.05/1.44 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.05/1.44 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.05/1.44 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.05/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 1.05/1.44 Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 1.05/1.44 , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.05/1.44 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 1.05/1.44 , Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.05/1.44 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.05/1.44 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 1.05/1.44 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.05/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.05/1.44 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.05/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.05/1.44 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.44 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.05/1.44 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.44 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.05/1.44 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.44 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.44 , Z ), Y ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.05/1.44 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.05/1.44 ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.05/1.44 , Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 1.05/1.44 , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'(
% 1.05/1.44 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 1.05/1.44 ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.44 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'(
% 1.05/1.44 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =(
% 1.05/1.44 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 1.05/1.44 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 1.05/1.44 ), 'c_List_Oappend'( X, T, Y ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.44 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.05/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.05/1.44 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.05/1.44 , X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.05/1.44 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.05/1.44 ) ), =( X, T ) ],
% 1.05/1.44 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.05/1.44 ) ), =( Y, U ) ],
% 1.05/1.44 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.05/1.44 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.05/1.44 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 1.05/1.44 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 1.05/1.44 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 1.05/1.44 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ), ~(
% 1.05/1.44 'c_Lambda_Obeta'( T, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping'
% 1.05/1.44 , X ), T ), Z ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 1.05/1.44 Z ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 1.05/1.44 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 1.05/1.44 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.05/1.44 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ), T ),
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.05/1.44 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 1.05/1.44 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 1.05/1.44 ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), T ), 'c_Suc'( Z ) ) ) ), =( Y, T ),
% 1.05/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), Y ), Z ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Type_Oshift'( 'tc_Type_Otype' ), X ), T ), Z ) ), U ), W ) ) ), hBOOL(
% 1.05/1.44 hAPP( hAPP( hAPP( 'c_Type_Otyping', X ), hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Osubst', U ), Y ), T ) ), W ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T )
% 1.05/1.44 , 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.05/1.44 , Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.05/1.44 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) )
% 1.05/1.44 , 'tc_nat' ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.05/1.44 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.05/1.44 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.05/1.44 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.05/1.44 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.05/1.44 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 1.05/1.44 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , T ), X ), Y ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.05/1.44 , X ), T ), Y ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.05/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 1.05/1.44 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 1.05/1.44 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 1.05/1.44 [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~(
% 1.05/1.44 'c_List_Odistinct'( Y, Z ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.05/1.44 , X ), X ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.05/1.44 , X ), X ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.44 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 1.05/1.44 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 1.05/1.44 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 1.05/1.44 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 1.05/1.44 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Z ), Y ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Z ), Y ), X ) ) ],
% 1.05/1.44 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 1.05/1.44 X ) ) ],
% 1.05/1.44 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 1.05/1.44 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 1.05/1.44 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.44 , Y ), Z ), Z, X ), Y ) ],
% 1.05/1.44 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 1.05/1.44 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.05/1.44 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 1.05/1.44 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 'c_List_Olistsum'(
% 1.05/1.44 'c_List_Omap'( 'c_COMBK'( Y, X, Z ), T, Z, X ), X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.05/1.44 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), X ) ), Y ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.44 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.44 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.44 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Z
% 1.05/1.44 , T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.05/1.44 X ), Y, X ) ) ],
% 1.05/1.44 [ =( 'c_List_Orotate'( X, 'c_List_Orotate'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Orotate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X )
% 1.05/1.44 , Y ), Z, T ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 1.05/1.44 ) ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 1.05/1.44 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.44 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.44 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.05/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 1.05/1.44 Z ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.05/1.44 , 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.05/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.05/1.44 , 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 1.05/1.44 ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.05/1.44 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 1.05/1.44 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.44 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.05/1.44 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.05/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.05/1.44 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.05/1.44 Y ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.05/1.44 Y ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.05/1.44 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.44 Y ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.05/1.44 Y ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.44 Y ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.44 Y ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.05/1.44 Y ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.44 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ), Y ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 1.05/1.44 X ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.44 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.05/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 1.05/1.44 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 1.05/1.44 , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 1.05/1.44 , T ) ), =( Y, U ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.05/1.44 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.44 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.05/1.44 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.44 T, X ) ) ],
% 1.05/1.44 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.05/1.44 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 1.05/1.44 Z ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y )
% 1.05/1.44 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.05/1.44 , 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.05/1.44 , 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y )
% 1.05/1.44 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 1.05/1.44 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.05/1.44 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 1.05/1.44 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 1.05/1.44 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 1.05/1.44 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 1.05/1.44 , V4 ), W ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 1.05/1.44 X ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 1.05/1.44 =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) )
% 1.05/1.44 , X, Z ), T ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 1.05/1.44 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 1.05/1.44 ) ), 'tc_nat' ) ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 1.05/1.44 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( X
% 1.05/1.44 ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'(
% 1.05/1.44 X ) ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.44 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T
% 1.05/1.44 ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'( Y, T, U, Z )
% 1.05/1.44 , Z ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.05/1.44 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.05/1.44 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.05/1.44 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.05/1.44 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 1.05/1.44 , X ) ), 'c_Orderings_Oord__class_Omax'( Y, T, X ) ), X ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.44 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.44 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.05/1.44 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 1.05/1.44 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 1.05/1.44 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 1.05/1.44 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 1.05/1.44 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 1.05/1.44 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 1.05/1.44 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 1.05/1.44 ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, T
% 1.05/1.44 , X ) ), 'c_Orderings_Oord__class_Omax'( Z, T, X ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.05/1.44 'c_Orderings_Oord__class_Omax'( Y, hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.05/1.44 'c_Orderings_Oord__class_Omin'( X ), 'c_Orderings_Oord__class_Omax'( Y, Z
% 1.05/1.44 , X ) ), 'c_Orderings_Oord__class_Omax'( Y, T, X ) ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.05/1.44 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.05/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 1.05/1.44 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ),
% 1.05/1.44 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.44 'tc_nat' ) ) ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 1.05/1.44 , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.05/1.44 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.05/1.44 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.05/1.44 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 1.05/1.44 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 1.05/1.44 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 1.05/1.44 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.05/1.44 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.05/1.44 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.05/1.44 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.44 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( hAPP( hAPP( 'c_Type_Otyping', hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Type_Oshift'( 'tc_Type_Otype' ), X ), Y ), Z ) ), hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Olift', T ), Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Type_Otyping', X ), T ), U ) ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.44 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.05/1.44 'c_lessequals'( Z, Y, X ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.05/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 1.05/1.44 'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1'( X ) ) ), ~( hBOOL( hAPP( X
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.44 ), Z ), X ) ],
% 1.05/1.44 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.44 ), Z ), X ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.05/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.05/1.44 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.05/1.44 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.05/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.05/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 1.05/1.44 'v_sko__List__Xreplicate__Xinduct__1'( X ) ) ), ~( hBOOL( hAPP( X,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.44 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z,
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 't_a' ) ) ) ), hBOOL( hAPP( X, Y
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinducts__1'(
% 1.05/1.44 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( 'c_Nitpick_Onat__gcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.05/1.44 , X ) ],
% 1.05/1.44 [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_String_Ochar_Ochar__size'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinduct__1'(
% 1.05/1.44 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.44 ), 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.44 ), 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__List__Xupt__Xinduct__1'(
% 1.05/1.44 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 1.05/1.44 ],
% 1.05/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.44 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.05/1.44 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ) ), ~( hBOOL(
% 1.05/1.44 hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.05/1.44 ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 1.05/1.44 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.05/1.44 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 1.05/1.44 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 1.05/1.44 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.05/1.44 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.05/1.44 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.05/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 1.05/1.44 'c_List_Omap'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y ), Z, Y,
% 1.05/1.44 X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.05/1.44 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.05/1.44 ), Z ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 1.05/1.44 , 'c_List_Olist_ONil'( Z ) ) ],
% 1.05/1.44 [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 1.05/1.44 Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ],
% 1.05/1.44 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ),
% 1.05/1.44 'c_List_Osko__List__Xmap__idI__1__1'( X, Y, Z ) ) ), =( 'c_List_Omap'( X
% 1.05/1.44 , Y, Z, Z ), Y ) ],
% 1.05/1.44 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Omap'( Z, X
% 1.05/1.44 , Y, T ), T ) ) ],
% 1.05/1.44 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 1.05/1.44 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 1.05/1.44 ), U ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.05/1.44 =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 1.05/1.44 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.05/1.44 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 1.05/1.44 , 'c_List_Olist_ONil'( T ) ) ],
% 1.05/1.44 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 1.05/1.44 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 1.05/1.44 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ),
% 1.05/1.44 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 1.05/1.44 ) ) ) ],
% 1.05/1.44 [ =( 'c_List_Orotate'( X, 'c_List_Omap'( Y, Z, T, U ), U ),
% 1.05/1.44 'c_List_Omap'( Y, 'c_List_Orotate'( X, Z, T ), T, U ) ) ],
% 1.05/1.44 [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X,
% 1.05/1.44 'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 1.05/1.44 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) )
% 1.05/1.44 , hAPP( Y, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) ) ) ),
% 1.05/1.44 =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 1.05/1.44 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 1.05/1.44 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 1.05/1.44 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 1.05/1.44 'c_List_Olist_ONil'( Z ) ) ],
% 1.05/1.44 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 1.05/1.44 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.05/1.44 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 1.05/1.44 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 1.05/1.44 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 1.05/1.44 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 1.05/1.44 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U )
% 1.05/1.44 ), hAPP( Y, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U ) ) ) )
% 1.05/1.44 , =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 1.05/1.44 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T,
% 1.05/1.44 U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U
% 1.05/1.44 ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U ), U, W ),
% 1.05/1.44 'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP( X, T ), W )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 1.05/1.44 ), Z, X ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.05/1.44 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 1.05/1.44 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 1.05/1.44 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 1.05/1.44 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.05/1.44 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 1.05/1.44 , 'tc_Lambda_OdB' ) ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 1.05/1.44 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 1.05/1.44 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 1.05/1.44 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 1.05/1.44 ), X ), Y ) ],
% 1.05/1.44 [ 'c_Lambda_Obeta'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ),
% 1.05/1.44 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ), ~( 'c_Lambda_Obeta'(
% 1.05/1.44 X, T ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 1.05/1.44 ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 1.05/1.44 hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.44 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.05/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 1.05/1.44 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.05/1.44 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 1.05/1.44 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 1.05/1.44 [ 'c_List_Olistsp'( X, Y, Z ), ~( hBOOL( hAPP( X,
% 1.05/1.44 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 1.05/1.44 [ 'c_List_Olistsp'( hAPP( hAPP(
% 1.05/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.05/1.44 , Y ), Z ), T, X ), ~( 'c_List_Olistsp'( Z, T, X ) ), ~( 'c_List_Olistsp'(
% 1.05/1.44 Y, T, X ) ) ],
% 1.05/1.44 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 1.05/1.44 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 1.05/1.44 T, Y, Z ), Z ) ) ],
% 1.05/1.44 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 1.05/1.44 Y, T, Z ), Z ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 1.05/1.44 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 1.05/1.44 ],
% 1.05/1.44 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y ), hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Olift', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 1.05/1.44 [ =( 'v_n____', 'v_i____' ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.44 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.44 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.44 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.05/1.44 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.05/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.44 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.44 ) ) ],
% 1.05/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.44 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.44 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.05/1.44 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.44 [ 'c_Type_Otypings'( X, 'c_List_Omap'( hAPP( hAPP( 'c_COMBC'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_COMBC'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 1.05/1.44 , 'c_Lambda_Osubst' ), Y ) ), Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 1.05/1.44 , U ), ~( 'c_Type_Otypings'( hAPP( hAPP( hAPP( 'c_Type_Oshift'(
% 1.05/1.44 'tc_Type_Otype' ), X ), Z ), W ), T, U ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Type_Otyping', X ), Y ), W ) ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 1.05/1.44 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.44 'c_InductTermi_OIT', X ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 1.05/1.44 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 1.05/1.44 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 1.05/1.44 'c_List_Omap'( hAPP( hAPP( 'c_COMBC'( 'tc_Lambda_OdB', 'tc_nat',
% 1.05/1.44 'tc_Lambda_OdB' ), 'c_Lambda_Olift' ), Z ), Y, 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.05/1.44 [ 'c_Type_Otypings'( hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype'
% 1.05/1.44 ), X ), Y ), Z ), 'c_List_Omap'( hAPP( hAPP( 'c_COMBC'( 'tc_Lambda_OdB'
% 1.05/1.44 , 'tc_nat', 'tc_Lambda_OdB' ), 'c_Lambda_Olift' ), Y ), T,
% 1.05/1.44 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'( X, T, U )
% 1.05/1.44 ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 1.05/1.44 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 1.05/1.44 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 1.05/1.44 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( hAPP( hAPP( 'c_COMBC'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_COMBC'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) )
% 1.05/1.44 , 'c_Lambda_Osubst' ), Z ) ), T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 1.05/1.44 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 1.05/1.44 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( hAPP( hAPP(
% 1.05/1.44 'c_COMBC'( 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_Lambda_Olift'
% 1.05/1.44 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'(
% 1.05/1.44 'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 1.05/1.44 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.05/1.44 T, W ), U ) ) ],
% 1.05/1.44 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 1.05/1.44 X ), Y ) ), Z ), Y ), X ) ],
% 1.05/1.44 [ 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_bool',
% 1.05/1.44 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.05/1.44 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' ), hAPP( hAPP( 'c_COMBB'(
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_bool' ), 'tc_bool',
% 1.05/1.44 'tc_Lambda_OdB' ), 'c_All'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ),
% 1.05/1.44 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.05/1.44 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ), 'tc_bool' ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'(
% 1.05/1.44 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool', 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ) ), 'c_All'( 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.05/1.44 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ), 'tc_fun'(
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype',
% 1.05/1.44 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ),
% 1.05/1.44 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_bool',
% 1.05/1.44 'tc_Type_Otype' ), 'c_All'( 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP(
% 1.05/1.44 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ) ),
% 1.05/1.44 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB'
% 1.05/1.44 , 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool'
% 1.05/1.44 ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.05/1.44 'tc_bool', 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ) ) ) ), hAPP( hAPP(
% 1.05/1.44 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.05/1.44 ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.05/1.44 ), 'c_COMBS'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_fun'(
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype'
% 1.05/1.44 , 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) )
% 1.05/1.44 , 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ),
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.05/1.44 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.05/1.44 , 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) )
% 1.05/1.44 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.05/1.44 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ), 'tc_Lambda_OdB'
% 1.05/1.44 ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.05/1.44 , 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'(
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.05/1.44 'tc_Type_Otype' ), 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.05/1.44 ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.05/1.44 , 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype'
% 1.05/1.44 ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.05/1.44 ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_bool' ) ), 'tc_Type_Otype' ), 'c_COMBS'( 'tc_nat', 'tc_bool',
% 1.05/1.44 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ),
% 1.05/1.44 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool',
% 1.05/1.44 'tc_bool' ) ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool' ) ) )
% 1.05/1.44 , 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_bool', 'tc_bool'
% 1.05/1.44 ) ), 'tc_Type_Otype' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 1.05/1.44 , 'tc_bool' ), 'tc_nat' ), 'c_implies' ) ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.05/1.44 , 'tc_Type_Otype' ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'( 'tc_Type_Otype',
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' )
% 1.05/1.44 ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.05/1.44 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Lambda_OdB',
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP(
% 1.05/1.44 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat'
% 1.05/1.44 , 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Lambda_OdB', 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ) ),
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_bool' ) ), 'tc_nat' ), 'c_Type_Otyping' ) ), hAPP(
% 1.05/1.44 hAPP( 'c_COMBC'( 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype',
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), hAPP( hAPP(
% 1.05/1.44 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_Type_Otype', 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ) ), 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_nat', 'tc_Type_Otype', 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_Type_Otype' ) ) ), 'c_Type_Oshift'( 'tc_Type_Otype' ) ) ),
% 1.05/1.44 'v_T____' ) ) ) ) ) ) ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB',
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ) ), hAPP( 'c_COMBS'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.05/1.44 , 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.05/1.44 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_Lambda_OdB' ), 'c_COMBB'(
% 1.05/1.44 'tc_bool', 'tc_bool', 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 1.05/1.44 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ),
% 1.05/1.44 'c_InductTermi_OIT' ) ) ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_bool' ) ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBC'( 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_Type_Otype' ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_bool' ) ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB',
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ) ), 'tc_fun'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_bool' )
% 1.05/1.44 ) ), 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBS'( 'tc_Lambda_OdB'
% 1.05/1.44 , 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ),
% 1.05/1.44 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool',
% 1.05/1.44 'tc_bool' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ), 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_bool', 'tc_bool' ),
% 1.05/1.44 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.44 ) ), 'tc_Lambda_OdB' ), 'c_COMBB'( 'tc_bool', 'tc_bool', 'tc_nat' ) ) )
% 1.05/1.44 , hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ), 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_bool', 'tc_bool' ) ), 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Type_Otype' ) ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.05/1.44 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_implies' ) ), hAPP( hAPP( 'c_COMBC'(
% 1.05/1.44 'tc_fun'( 'tc_nat', 'tc_Type_Otype' ), 'tc_Type_Otype', 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.05/1.44 'tc_Lambda_OdB', 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_Type_Otype', 'tc_fun'( 'tc_Lambda_OdB', 'tc_bool' ) ), 'tc_fun'(
% 1.05/1.44 'tc_nat', 'tc_Type_Otype' ) ), 'c_COMBC'( 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Type_Otype', 'tc_bool' ) ), 'c_Type_Otyping' ) ), 'v_T____' ) ) ) ) )
% 1.05/1.44 ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat'
% 1.05/1.44 , 'tc_Lambda_OdB' ) ), 'tc_fun'( 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_bool' ) ), 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Lambda_OdB' ),
% 1.05/1.44 hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat' ),
% 1.05/1.44 'c_InductTermi_OIT' ) ) ), 'c_Lambda_Osubst' ) ) ) ) ) ) ) ) ) ), hAPP(
% 1.05/1.44 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool',
% 1.05/1.44 'tc_Lambda_OdB' ), 'c_Ex'( 'tc_Type_Otype' ) ), hAPP( 'c_Type_Otyping',
% 1.05/1.44 hAPP( hAPP( hAPP( 'c_Type_Oshift'( 'tc_Type_Otype' ), 'v_e____' ),
% 1.05/1.44 'v_i____' ), 'v_T____' ) ) ) ), 'v_as____', 'tc_Lambda_OdB' ) ],
% 1.05/1.44 [ ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( hAPP( hAPP(
% 1.05/1.44 'c_COMBC'( 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_Lambda_Olift'
% 1.05/1.44 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Omap'( hAPP( hAPP(
% 1.05/1.44 'c_COMBC'( 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), hAPP( hAPP(
% 1.05/1.44 'c_COMBC'( 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 1.05/1.44 'tc_Lambda_OdB' ) ), 'c_Lambda_Osubst' ), 'v_u____' ) ), 'v_i____' ),
% 1.05/1.44 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 1.05/1.44 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ) ],
% 1.05/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.05/1.44 'class_Lattices_Olattice'( Y ) ) ],
% 1.05/1.44 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.05/1.44 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.05/1.44 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.05/1.44 'class_Orderings_Opreorder'( Y ) ) ],
% 1.05/1.44 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.05/1.44 'class_Lattices_Olattice'( Y ) ) ],
% 1.05/1.44 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.05/1.44 'class_Orderings_Oorder'( Y ) ) ],
% 1.05/1.44 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.05/1.44 Y ) ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.05/1.44 ],
% 1.05/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.05/1.44 ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.05/1.44 ],
% 1.05/1.44 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.05/1.44 ,
% 1.05/1.44 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.05/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.05/1.44 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.05/1.44 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.05/1.44 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.05/1.44 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.05/1.44 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_COMBC'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.05/1.44 T, W ), U ) ) ],
% 1.05/1.44 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.05/1.44 hAPP( U, W ) ) ) ],
% 1.05/1.44 [ 'c_fequal'( X, X, Y ) ],
% 1.05/1.44 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.05/1.44 ] .
% 1.05/1.44
% 1.05/1.44
% 1.05/1.44 percentage equality = 0.315355, percentage horn = 0.911851
% 1.05/1.44 This is a problem with some equality
% 1.05/1.44
% 1.05/1.44
% 1.05/1.44
% 1.05/1.44 Options Used:
% 1.05/1.44
% 1.05/1.44 useres = 1
% 1.05/1.44 useparamod = 1
% 1.05/1.44 useeqrefl = 1
% 1.05/1.44 useeqfact = 1
% 1.05/1.44 usefactor = 1
% 1.05/1.44 usesimpsplitting = 0
% 1.05/1.44 usesimpdemod = 5
% 1.05/1.44 usesimpres = 3
% 1.05/1.44
% 1.05/1.44 resimpinuse = 1000
% 1.05/1.44 resimpclauses = 20000
% 1.05/1.44 substype = eqrewr
% 1.05/1.44 backwardsubs = 1
% 1.05/1.44 selectoldest = 5
% 1.05/1.44
% 1.05/1.44 litorderings [0] = split
% 1.05/1.44 litorderings [1] = extend the termordering, first sorting on arguments
% 1.05/1.44
% 1.05/1.44 termordering = kbo
% 1.05/1.44
% 1.05/1.44 litapriori = 0
% 1.05/1.44 termapriori = 1
% 1.05/1.44 litaposteriori = 0
% 1.05/1.44 termaposteriori = 0
% 1.05/1.44 demodaposteriori = 0
% 1.05/1.44 ordereqreflfact = 0
% 1.05/1.44
% 1.05/1.44 litselect = negord
% 1.05/1.44
% 1.05/1.44 maxweight = 15
% 1.05/1.44 maxdepth = 30000
% 1.05/1.44 maxlength = 115
% 1.05/1.44 maxnrvars = 195
% 1.05/1.44 excuselevel = 1
% 1.05/1.44 increasemaxweight = 1
% 1.05/1.44
% 1.05/1.44 maxselected = 10000000
% 1.05/1.44 maxnrclauses = 10000000
% 1.05/1.44
% 1.05/1.44 showgenerated = 0
% 1.05/1.44 showkept = 0
% 1.05/1.44 showselected = 0
% 1.05/1.44 showdeleted = 0
% 1.05/1.44 showresimp = 1
% 1.05/1.44 showstatus = 2000
% 1.05/1.44
% 1.05/1.44 prologoutput = 1
% 1.05/1.44 nrgoals = 5000000
% 1.05/1.44 totalproof = 1
% 1.05/1.44
% 1.05/1.44 Symbols occurring in the translation:
% 1.05/1.44
% 1.05/1.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.05/1.44 . [1, 2] (w:1, o:201, a:1, s:1, b:0),
% 1.05/1.44 ! [4, 1] (w:0, o:118, a:1, s:1, b:0),
% 1.05/1.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.05/1.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.05/1.44 'class_Orderings_Olinorder' [40, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.05/1.44 'c_Orderings_Oord__class_Omax' [43, 3] (w:1, o:235, a:1, s:1, b:0),
% 1.05/1.44 'c_lessequals' [45, 3] (w:1, o:236, a:1, s:1, b:0),
% 1.05/1.44 'tc_nat' [49, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.05/1.44 'c_HOL_Ominus__class_Ominus' [50, 3] (w:1, o:237, a:1, s:1, b:0),
% 1.05/1.44 'c_HOL_Oplus__class_Oplus' [51, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.05/1.44 hAPP [52, 2] (w:1, o:226, a:1, s:1, b:0),
% 1.05/1.44 'c_Suc' [54, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.05/1.44 'c_HOL_Oord__class_Oless' [55, 3] (w:1, o:238, a:1, s:1, b:0),
% 1.05/1.44 hBOOL [58, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.05/1.44 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1' [59, 1] (w:1, o:
% 1.05/1.44 130, a:1, s:1, b:0),
% 1.05/1.44 'c_HOL_Ozero__class_Ozero' [60, 1] (w:1, o:131, a:1, s:1, b:0),
% 1.05/1.44 'class_Ring__and__Field_Oring' [61, 1] (w:1, o:132, a:1, s:1, b:0),
% 1.05/1.44 'c_HOL_Otimes__class_Otimes' [62, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.05/1.44 'c_List_Olist__update' [70, 4] (w:1, o:256, a:1, s:1, b:0),
% 1.05/1.44 'c_List_Orev' [71, 2] (w:1, o:227, a:1, s:1, b:0),
% 1.05/1.44 'tc_List_Olist' [72, 1] (w:1, o:134, a:1, s:1, b:0),
% 1.05/1.44 'c_Nat_Osize__class_Osize' [73, 2] (w:1, o:228, a:1, s:1, b:0),
% 1.05/1.44 'c_HOL_Oone__class_Oone' [74, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.05/1.44 'class_Ring__and__Field_Osemiring__0' [75, 1] (w:1, o:138, a:1, s:1
% 1.05/1.44 , b:0),
% 1.05/1.44 'class_Power_Opower' [76, 1] (w:1, o:161, a:1, s:1, b:0),
% 1.05/1.44 'c_Power_Opower__class_Opower' [77, 1] (w:1, o:164, a:1, s:1, b:0),
% 1.05/1.44 'class_Ring__and__Field_Oordered__semidom' [78, 1] (w:1, o:168, a:1
% 1.05/1.44 , s:1, b:0),
% 1.05/1.44 'c_List_Oappend' [81, 3] (w:1, o:239, a:1, s:1, b:0),
% 1.05/1.44 'c_List_Odrop' [84, 3] (w:1, o:240, a:1, s:1, b:0),
% 1.05/1.44 'class_Ring__and__Field_Oordered__semiring__strict' [85, 1] (w:1, o:
% 1.05/1.44 169, a:1, s:1, b:0),
% 1.05/1.44 'c_List_Olist_ONil' [86, 1] (w:1, o:170, a:1, s:1, b:0),
% 1.05/1.44 'c_List_Otake' [87, 3] (w:1, o:243, a:1, s:1, b:0),
% 1.05/1.44 'v_sko__Nat__Xnat__Xinduct__1' [89, 1] (w:1, o:171, a:1, s:1, b:0),
% 1.05/1.44 'c_Orderings_Oord__class_Omin' [90, 1] (w:1, o:162, a:1, s:1, b:0),
% 1.05/1.44 'class_OrderedGroup_Opordered__ab__group__add' [91, 1] (w:1, o:139
% 1.05/1.44 , a:1, s:1, b:0),
% 1.05/1.44 'c_List_Oreplicate' [94, 3] (w:1, o:244, a:1, s:1, b:0),
% 1.05/1.44 'c_Nat_Onat_Onat__case' [96, 4] (w:1, o:257, a:1, s:1, b:0),
% 1.05/1.44 'class_Ring__and__Field_Ocomm__semiring__1' [97, 1] (w:1, o:172, a:1
% 1.05/1.44 , s:1, b:0),
% 1.05/1.44 'class_OrderedGroup_Ocomm__monoid__mult' [98, 1] (w:1, o:140, a:1, s:
% 1.05/1.44 1, b:0),
% 1.05/1.44 'class_OrderedGroup_Omonoid__mult' [99, 1] (w:1, o:143, a:1, s:1, b:0
% 1.05/1.44 ),
% 1.05/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [100, 1]
% 1.05/1.44 (w:1, o:144, a:1, s:1, b:0),
% 1.05/1.44 'class_OrderedGroup_Ocomm__monoid__add' [101, 1] (w:1, o:145, a:1, s:
% 1.05/1.44 1, b:0),
% 1.05/1.44 'c_List_Olist_OCons' [103, 3] (w:1, o:245, a:1, s:1, b:0),
% 1.05/1.44 'c_Nat_Osemiring__1__class_Oof__nat' [104, 2] (w:1, o:229, a:1, s:1
% 1.05/1.44 , b:0),
% 1.05/1.44 'class_Ring__and__Field_Oidom' [105, 1] (w:1, o:173, a:1, s:1, b:0),
% 1.05/1.44
% 1.05/1.44 'class_Int_Onumber__ring' [106, 1] (w:1, o:174, a:1, s:1, b:0),
% 1.05/1.44 'class_OrderedGroup_Olordered__ab__group__add' [107, 1] (w:1, o:141
% 1.05/1.44 , a:1, s:1, b:0),
% 1.05/1.44 'c_Lambda_Osubst' [108, 0] (w:1, o:68, a:1, s:1, b:0),
% 1.05/1.44 'c_Lambda_OdB_OVar' [109, 1] (w:1, o:175, a:1, s:1, b:0),
% 1.05/1.44 'class_OrderedGroup_Ogroup__add' [111, 1] (w:1, o:146, a:1, s:1, b:0)
% 1.05/1.44 ,
% 1.05/1.44 'v_sko__Nat__Xnat__Xinducts__1' [115, 1] (w:1, o:176, a:1, s:1, b:0)
% 1.05/1.44 ,
% 1.05/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add' [117, 1] (w:1, o:
% 1.05/1.44 147, a:1, s:1, b:0),
% 1.05/1.44 'class_OrderedGroup_Omonoid__add' [118, 1] (w:1, o:148, a:1, s:1, b:0
% 1.05/1.44 ),
% 1.05/1.44 'c_List_Olistsum' [119, 2] (w:1, o:230, a:1, s:1, b:0),
% 1.05/1.44 'c_List_Ofoldl' [120, 5] (w:1, o:259, a:1, s:1, b:0),
% 1.05/1.44 'class_OrderedGroup_Opordered__comm__monoid__add' [121, 1] (w:1, o:
% 1.05/1.44 149, a:1, s:1, b:0),
% 1.05/1.44 'class_Orderings_Obot' [122, 1] (w:1, o:150, a:1, s:1, b:0),
% 1.05/1.44 'c_Orderings_Obot__class_Obot' [123, 1] (w:1, o:163, a:1, s:1, b:0),
% 1.05/1.44
% 1.05/1.44 'c_List_Odistinct' [124, 2] (w:1, o:231, a:1, s:1, b:0),
% 1.05/1.44 'c_Groebner__Basis_Ogb__semiring' [130, 6] (w:1, o:264, a:1, s:1, b:0
% 1.05/1.44 ),
% 1.05/1.44 'v_sko__List__Xupt__Xinduct__1' [132, 1] (w:1, o:177, a:1, s:1, b:0)
% 1.05/1.44 ,
% 1.05/1.44 'v_sko__List__Xreplicate__Xinduct__1' [133, 1] (w:1, o:178, a:1, s:1
% 1.05/1.44 , b:0),
% 1.05/1.44 'class_Ring__and__Field_Opordered__ring' [134, 1] (w:1, o:182, a:1
% 1.05/1.44 , s:1, b:0),
% 1.05/1.44 'c_Lambda_OdB_OAbs' [136, 1] (w:1, o:183, a:1, s:1, b:0),
% 1.05/1.44 'c_Lambda_Osubstn' [137, 3] (w:1, o:246, a:1, s:1, b:0),
% 1.05/1.44 'class_Ring__and__Field_Oordered__ring__strict' [138, 1] (w:1, o:167
% 3.68/4.04 , a:1, s:1, b:0),
% 3.68/4.04 'class_Lattices_Obounded__lattice' [139, 1] (w:1, o:184, a:1, s:1, b:
% 3.68/4.04 0),
% 3.68/4.04 'c_Lattices_Olower__semilattice__class_Oinf' [140, 1] (w:1, o:185, a:
% 3.68/4.04 1, s:1, b:0),
% 3.68/4.04 'class_OrderedGroup_Osemigroup__add' [141, 1] (w:1, o:151, a:1, s:1
% 3.68/4.04 , b:0),
% 3.68/4.04 'c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1' [142, 1] (w:1, o:186
% 3.68/4.04 , a:1, s:1, b:0),
% 3.68/4.04 'class_Nat_Osemiring__char__0' [143, 1] (w:1, o:123, a:1, s:1, b:0),
% 3.68/4.04
% 3.68/4.04 'c_Type_Otyping' [145, 0] (w:1, o:78, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Oordered__semiring' [146, 1] (w:1, o:179, a:1
% 3.68/4.04 , s:1, b:0),
% 3.68/4.04 'c_Lambda_Oliftn' [147, 3] (w:1, o:247, a:1, s:1, b:0),
% 3.68/4.04 'c_Lambda_Olift' [148, 0] (w:1, o:79, a:1, s:1, b:0),
% 3.68/4.04 'c_Type_Oshift' [149, 1] (w:1, o:187, a:1, s:1, b:0),
% 3.68/4.04 'c_Fun_Ocomp' [154, 5] (w:1, o:260, a:1, s:1, b:0),
% 3.68/4.04 'class_Orderings_Opreorder' [158, 1] (w:1, o:153, a:1, s:1, b:0),
% 3.68/4.04 'class_Orderings_Oorder' [159, 1] (w:1, o:152, a:1, s:1, b:0),
% 3.68/4.04 'class_OrderedGroup_Oab__group__add' [160, 1] (w:1, o:154, a:1, s:1
% 3.68/4.04 , b:0),
% 3.68/4.04 'class_OrderedGroup_Oab__semigroup__add' [161, 1] (w:1, o:155, a:1
% 3.68/4.04 , s:1, b:0),
% 3.68/4.04 'class_Lattices_Olower__semilattice' [162, 1] (w:1, o:188, a:1, s:1
% 3.68/4.04 , b:0),
% 3.68/4.04 'c_COMBK' [163, 3] (w:1, o:248, a:1, s:1, b:0),
% 3.68/4.04 'class_OrderedGroup_Olordered__ab__group__add__meet' [165, 1] (w:1
% 3.68/4.04 , o:142, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Osemiring__1' [166, 1] (w:1, o:189, a:1, s:1
% 3.68/4.04 , b:0),
% 3.68/4.04 'class_Ring__and__Field_Oordered__idom' [169, 1] (w:1, o:180, a:1, s:
% 3.68/4.04 1, b:0),
% 3.68/4.04 'c_Lambda_OdB_OApp' [170, 0] (w:1, o:92, a:1, s:1, b:0),
% 3.68/4.04 'tc_Lambda_OdB' [172, 0] (w:1, o:93, a:1, s:1, b:0),
% 3.68/4.04 'class_Lattices_Olattice' [175, 1] (w:1, o:190, a:1, s:1, b:0),
% 3.68/4.04 'tc_bool' [176, 0] (w:1, o:94, a:1, s:1, b:0),
% 3.68/4.04 'tc_fun' [177, 2] (w:1, o:232, a:1, s:1, b:0),
% 3.68/4.04 'c_Lambda_Obeta' [191, 2] (w:1, o:233, a:1, s:1, b:0),
% 3.68/4.04 'c_List_Orotate' [192, 3] (w:1, o:249, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Osemiring' [193, 1] (w:1, o:191, a:1, s:1, b:
% 3.68/4.04 0),
% 3.68/4.04 't_a' [195, 0] (w:1, o:98, a:1, s:1, b:0),
% 3.68/4.04 'c_List_Omap' [197, 4] (w:1, o:258, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Opordered__cancel__semiring' [198, 1] (w:1
% 3.68/4.04 , o:192, a:1, s:1, b:0),
% 3.68/4.04 'class_OrderedGroup_Ocancel__ab__semigroup__add' [199, 1] (w:1, o:156
% 3.68/4.04 , a:1, s:1, b:0),
% 3.68/4.04 'class_OrderedGroup_Ocancel__semigroup__add' [200, 1] (w:1, o:157, a:
% 3.68/4.04 1, s:1, b:0),
% 3.68/4.04 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [206, 1]
% 3.68/4.04 (w:1, o:158, a:1, s:1, b:0),
% 3.68/4.04 'class_OrderedGroup_Oab__semigroup__idem__mult' [208, 1] (w:1, o:159
% 3.68/4.04 , a:1, s:1, b:0),
% 3.68/4.04 'c_nat_Onat__size' [209, 1] (w:1, o:193, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Oordered__comm__semiring__strict' [210, 1]
% 3.68/4.04 (w:1, o:181, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Oring__1' [213, 1] (w:1, o:135, a:1, s:1, b:0
% 3.68/4.04 ),
% 3.68/4.04 'class_Ring__and__Field_Omult__mono' [214, 1] (w:1, o:194, a:1, s:1
% 3.68/4.04 , b:0),
% 3.68/4.04 'class_Ring__and__Field_Omult__mono1' [215, 1] (w:1, o:195, a:1, s:1
% 3.68/4.04 , b:0),
% 3.68/4.04 'c_InductTermi_OIT' [217, 0] (w:1, o:100, a:1, s:1, b:0),
% 3.68/4.04 'tc_Type_Otype' [219, 0] (w:1, o:102, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Opordered__semiring' [220, 1] (w:1, o:196, a:
% 3.68/4.04 1, s:1, b:0),
% 3.68/4.04 'c_List_Olistsp' [221, 3] (w:1, o:250, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Ozero__neq__one' [222, 1] (w:1, o:197, a:1
% 3.68/4.04 , s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Ono__zero__divisors' [223, 1] (w:1, o:166, a:
% 3.68/4.04 1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Omult__zero' [224, 1] (w:1, o:165, a:1, s:1
% 3.68/4.04 , b:0),
% 3.68/4.04 'class_Ring__and__Field_Oring__1__no__zero__divisors' [225, 1] (w:1
% 3.68/4.04 , o:136, a:1, s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Oring__no__zero__divisors' [226, 1] (w:1, o:
% 3.68/4.04 137, a:1, s:1, b:0),
% 3.68/4.04 'class_OrderedGroup_Oab__semigroup__mult' [231, 1] (w:1, o:160, a:1
% 3.68/4.04 , s:1, b:0),
% 3.68/4.04 'class_Ring__and__Field_Ocomm__semiring' [233, 1] (w:1, o:198, a:1
% 3.68/4.04 , s:1, b:0),
% 26.47/26.82 'c_Nitpick_Onat__gcd' [234, 2] (w:1, o:234, a:1, s:1, b:0),
% 26.47/26.82 'c_String_Ochar_Ochar__size' [235, 1] (w:1, o:127, a:1, s:1, b:0),
% 26.47/26.82 'tc_String_Ochar' [236, 0] (w:1, o:101, a:1, s:1, b:0),
% 26.47/26.82 'c_List_Osko__List__Xmap__idI__1__1' [237, 3] (w:1, o:241, a:1, s:1
% 26.47/26.82 , b:0),
% 26.47/26.82 'c_List_Osko__List__Xmap__ext__1__1' [238, 5] (w:1, o:261, a:1, s:1
% 26.47/26.82 , b:0),
% 26.47/26.82 'c_List_Osko__List__Xmap__cong__1__1' [240, 5] (w:1, o:262, a:1, s:1
% 26.47/26.82 , b:0),
% 26.47/26.82 'c_List_Osko__List__Xmap__eq__conv__1__1' [241, 5] (w:1, o:263, a:1
% 26.47/26.82 , s:1, b:0),
% 26.47/26.82 'v_ua______' [242, 0] (w:1, o:104, a:1, s:1, b:0),
% 26.47/26.82 'c_List_Osko__List__Xin__listsp__conv__set__1__1' [243, 3] (w:1, o:
% 26.47/26.82 242, a:1, s:1, b:0),
% 26.47/26.82 'v_n____' [244, 0] (w:1, o:105, a:1, s:1, b:0),
% 26.47/26.82 'v_i____' [245, 0] (w:1, o:106, a:1, s:1, b:0),
% 26.47/26.82 'c_COMBC' [246, 3] (w:1, o:252, a:1, s:1, b:0),
% 26.47/26.82 'c_Type_Otypings' [248, 3] (w:1, o:253, a:1, s:1, b:0),
% 26.47/26.82 'v_u____' [250, 0] (w:1, o:108, a:1, s:1, b:0),
% 26.47/26.82 'c_COMBS' [251, 3] (w:1, o:254, a:1, s:1, b:0),
% 26.47/26.82 'c_COMBB' [252, 3] (w:1, o:251, a:1, s:1, b:0),
% 26.47/26.82 'c_and' [253, 0] (w:1, o:109, a:1, s:1, b:0),
% 26.47/26.82 'c_All' [254, 1] (w:1, o:199, a:1, s:1, b:0),
% 26.47/26.82 'c_implies' [255, 0] (w:1, o:110, a:1, s:1, b:0),
% 26.47/26.82 'v_T____' [256, 0] (w:1, o:111, a:1, s:1, b:0),
% 26.47/26.82 'c_Ex' [257, 1] (w:1, o:200, a:1, s:1, b:0),
% 26.47/26.82 'v_e____' [258, 0] (w:1, o:112, a:1, s:1, b:0),
% 26.47/26.82 'v_as____' [259, 0] (w:1, o:113, a:1, s:1, b:0),
% 26.47/26.82 'c_fequal' [262, 3] (w:1, o:255, a:1, s:1, b:0).
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Starting Search:
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 4886
% 26.47/26.82 Kept: 2000
% 26.47/26.82 Inuse: 143
% 26.47/26.82 Deleted: 1
% 26.47/26.82 Deletedinuse: 0
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 12089
% 26.47/26.82 Kept: 4013
% 26.47/26.82 Inuse: 198
% 26.47/26.82 Deleted: 3
% 26.47/26.82 Deletedinuse: 0
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 16992
% 26.47/26.82 Kept: 6029
% 26.47/26.82 Inuse: 279
% 26.47/26.82 Deleted: 7
% 26.47/26.82 Deletedinuse: 0
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 23222
% 26.47/26.82 Kept: 8120
% 26.47/26.82 Inuse: 340
% 26.47/26.82 Deleted: 11
% 26.47/26.82 Deletedinuse: 0
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 31155
% 26.47/26.82 Kept: 10153
% 26.47/26.82 Inuse: 434
% 26.47/26.82 Deleted: 13
% 26.47/26.82 Deletedinuse: 1
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 38184
% 26.47/26.82 Kept: 12217
% 26.47/26.82 Inuse: 509
% 26.47/26.82 Deleted: 13
% 26.47/26.82 Deletedinuse: 1
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 44149
% 26.47/26.82 Kept: 14218
% 26.47/26.82 Inuse: 560
% 26.47/26.82 Deleted: 16
% 26.47/26.82 Deletedinuse: 4
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 55363
% 26.47/26.82 Kept: 16842
% 26.47/26.82 Inuse: 627
% 26.47/26.82 Deleted: 18
% 26.47/26.82 Deletedinuse: 4
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 61891
% 26.47/26.82 Kept: 18845
% 26.47/26.82 Inuse: 666
% 26.47/26.82 Deleted: 18
% 26.47/26.82 Deletedinuse: 4
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying clauses:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 71358
% 26.47/26.82 Kept: 21358
% 26.47/26.82 Inuse: 721
% 26.47/26.82 Deleted: 489
% 26.47/26.82 Deletedinuse: 4
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 81430
% 26.47/26.82 Kept: 23567
% 26.47/26.82 Inuse: 741
% 26.47/26.82 Deleted: 489
% 26.47/26.82 Deletedinuse: 4
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 89102
% 26.47/26.82 Kept: 25701
% 26.47/26.82 Inuse: 751
% 26.47/26.82 Deleted: 489
% 26.47/26.82 Deletedinuse: 4
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 99893
% 26.47/26.82 Kept: 28872
% 26.47/26.82 Inuse: 776
% 26.47/26.82 Deleted: 489
% 26.47/26.82 Deletedinuse: 4
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 108659
% 26.47/26.82 Kept: 30925
% 26.47/26.82 Inuse: 836
% 26.47/26.82 Deleted: 489
% 26.47/26.82 Deletedinuse: 4
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 120214
% 26.47/26.82 Kept: 33211
% 26.47/26.82 Inuse: 891
% 26.47/26.82 Deleted: 490
% 26.47/26.82 Deletedinuse: 5
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82 Resimplifying inuse:
% 26.47/26.82 Done
% 26.47/26.82
% 26.47/26.82
% 26.47/26.82 Intermediate Status:
% 26.47/26.82 Generated: 130225
% 79.94/80.30 Kept: 35215
% 79.94/80.30 Inuse: 944
% 79.94/80.30 Deleted: 490
% 79.94/80.30 Deletedinuse: 5
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 142866
% 79.94/80.30 Kept: 38374
% 79.94/80.30 Inuse: 1011
% 79.94/80.30 Deleted: 491
% 79.94/80.30 Deletedinuse: 6
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying clauses:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 149895
% 79.94/80.30 Kept: 40377
% 79.94/80.30 Inuse: 1031
% 79.94/80.30 Deleted: 914
% 79.94/80.30 Deletedinuse: 6
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 165140
% 79.94/80.30 Kept: 42586
% 79.94/80.30 Inuse: 1061
% 79.94/80.30 Deleted: 914
% 79.94/80.30 Deletedinuse: 6
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 194278
% 79.94/80.30 Kept: 44629
% 79.94/80.30 Inuse: 1096
% 79.94/80.30 Deleted: 917
% 79.94/80.30 Deletedinuse: 9
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 204818
% 79.94/80.30 Kept: 46846
% 79.94/80.30 Inuse: 1141
% 79.94/80.30 Deleted: 921
% 79.94/80.30 Deletedinuse: 13
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 232850
% 79.94/80.30 Kept: 48865
% 79.94/80.30 Inuse: 1203
% 79.94/80.30 Deleted: 927
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 243854
% 79.94/80.30 Kept: 50990
% 79.94/80.30 Inuse: 1250
% 79.94/80.30 Deleted: 928
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 263820
% 79.94/80.30 Kept: 55335
% 79.94/80.30 Inuse: 1295
% 79.94/80.30 Deleted: 928
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 278943
% 79.94/80.30 Kept: 58835
% 79.94/80.30 Inuse: 1340
% 79.94/80.30 Deleted: 928
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 284652
% 79.94/80.30 Kept: 61084
% 79.94/80.30 Inuse: 1345
% 79.94/80.30 Deleted: 928
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying clauses:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 299451
% 79.94/80.30 Kept: 65118
% 79.94/80.30 Inuse: 1350
% 79.94/80.30 Deleted: 1535
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 309620
% 79.94/80.30 Kept: 67742
% 79.94/80.30 Inuse: 1370
% 79.94/80.30 Deleted: 1535
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 355798
% 79.94/80.30 Kept: 73413
% 79.94/80.30 Inuse: 1390
% 79.94/80.30 Deleted: 1535
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 398615
% 79.94/80.30 Kept: 77680
% 79.94/80.30 Inuse: 1395
% 79.94/80.30 Deleted: 1535
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 419432
% 79.94/80.30 Kept: 84162
% 79.94/80.30 Inuse: 1430
% 79.94/80.30 Deleted: 1535
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying clauses:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 438630
% 79.94/80.30 Kept: 87017
% 79.94/80.30 Inuse: 1435
% 79.94/80.30 Deleted: 1716
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 449765
% 79.94/80.30 Kept: 89029
% 79.94/80.30 Inuse: 1463
% 79.94/80.30 Deleted: 1716
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 463455
% 79.94/80.30 Kept: 91670
% 79.94/80.30 Inuse: 1475
% 79.94/80.30 Deleted: 1716
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 472766
% 79.94/80.30 Kept: 93696
% 79.94/80.30 Inuse: 1485
% 79.94/80.30 Deleted: 1716
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 485820
% 79.94/80.30 Kept: 95705
% 79.94/80.30 Inuse: 1522
% 79.94/80.30 Deleted: 1716
% 79.94/80.30 Deletedinuse: 19
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 497223
% 79.94/80.30 Kept: 97750
% 79.94/80.30 Inuse: 1560
% 79.94/80.30 Deleted: 1717
% 79.94/80.30 Deletedinuse: 20
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 509884
% 79.94/80.30 Kept: 99900
% 79.94/80.30 Inuse: 1600
% 79.94/80.30 Deleted: 1718
% 79.94/80.30 Deletedinuse: 21
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 518228
% 79.94/80.30 Kept: 101910
% 79.94/80.30 Inuse: 1606
% 79.94/80.30 Deleted: 1718
% 79.94/80.30 Deletedinuse: 21
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 79.94/80.30 Done
% 79.94/80.30
% 79.94/80.30
% 79.94/80.30 Intermediate Status:
% 79.94/80.30 Generated: 534721
% 79.94/80.30 Kept: 105245
% 79.94/80.30 Inuse: 1630
% 79.94/80.30 Deleted: 1725
% 79.94/80.30 Deletedinuse: 28
% 79.94/80.30
% 79.94/80.30 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying clauses:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 545108
% 151.54/152.00 Kept: 107245
% 151.54/152.00 Inuse: 1636
% 151.54/152.00 Deleted: 2806
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 559933
% 151.54/152.00 Kept: 109704
% 151.54/152.00 Inuse: 1643
% 151.54/152.00 Deleted: 2806
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 584287
% 151.54/152.00 Kept: 116116
% 151.54/152.00 Inuse: 1653
% 151.54/152.00 Deleted: 2806
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 593665
% 151.54/152.00 Kept: 118342
% 151.54/152.00 Inuse: 1680
% 151.54/152.00 Deleted: 2806
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 617677
% 151.54/152.00 Kept: 121879
% 151.54/152.00 Inuse: 1690
% 151.54/152.00 Deleted: 2806
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 628535
% 151.54/152.00 Kept: 124093
% 151.54/152.00 Inuse: 1720
% 151.54/152.00 Deleted: 2806
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying clauses:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 638561
% 151.54/152.00 Kept: 126109
% 151.54/152.00 Inuse: 1747
% 151.54/152.00 Deleted: 3205
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 647137
% 151.54/152.00 Kept: 128170
% 151.54/152.00 Inuse: 1750
% 151.54/152.00 Deleted: 3205
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 667964
% 151.54/152.00 Kept: 131100
% 151.54/152.00 Inuse: 1765
% 151.54/152.00 Deleted: 3205
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 684808
% 151.54/152.00 Kept: 133298
% 151.54/152.00 Inuse: 1770
% 151.54/152.00 Deleted: 3205
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 718360
% 151.54/152.00 Kept: 136933
% 151.54/152.00 Inuse: 1780
% 151.54/152.00 Deleted: 3205
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 752176
% 151.54/152.00 Kept: 140592
% 151.54/152.00 Inuse: 1790
% 151.54/152.00 Deleted: 3205
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 769781
% 151.54/152.00 Kept: 144593
% 151.54/152.00 Inuse: 1810
% 151.54/152.00 Deleted: 3205
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying clauses:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 776356
% 151.54/152.00 Kept: 146688
% 151.54/152.00 Inuse: 1820
% 151.54/152.00 Deleted: 3508
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 784218
% 151.54/152.00 Kept: 148739
% 151.54/152.00 Inuse: 1835
% 151.54/152.00 Deleted: 3508
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 795237
% 151.54/152.00 Kept: 150782
% 151.54/152.00 Inuse: 1850
% 151.54/152.00 Deleted: 3508
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 807886
% 151.54/152.00 Kept: 153082
% 151.54/152.00 Inuse: 1865
% 151.54/152.00 Deleted: 3508
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 822002
% 151.54/152.00 Kept: 155460
% 151.54/152.00 Inuse: 1880
% 151.54/152.00 Deleted: 3508
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 835917
% 151.54/152.00 Kept: 157476
% 151.54/152.00 Inuse: 1904
% 151.54/152.00 Deleted: 3508
% 151.54/152.00 Deletedinuse: 28
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 848600
% 151.54/152.00 Kept: 159709
% 151.54/152.00 Inuse: 1910
% 151.54/152.00 Deleted: 3509
% 151.54/152.00 Deletedinuse: 29
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 862341
% 151.54/152.00 Kept: 162062
% 151.54/152.00 Inuse: 1935
% 151.54/152.00 Deleted: 3509
% 151.54/152.00 Deletedinuse: 29
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 880765
% 151.54/152.00 Kept: 164078
% 151.54/152.00 Inuse: 1940
% 151.54/152.00 Deleted: 3509
% 151.54/152.00 Deletedinuse: 29
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 899776
% 151.54/152.00 Kept: 166114
% 151.54/152.00 Inuse: 1945
% 151.54/152.00 Deleted: 3509
% 151.54/152.00 Deletedinuse: 29
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00 Resimplifying clauses:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 920781
% 151.54/152.00 Kept: 169918
% 151.54/152.00 Inuse: 1950
% 151.54/152.00 Deleted: 4167
% 151.54/152.00 Deletedinuse: 29
% 151.54/152.00
% 151.54/152.00 Resimplifying inuse:
% 151.54/152.00 Done
% 151.54/152.00
% 151.54/152.00
% 151.54/152.00 Intermediate Status:
% 151.54/152.00 Generated: 940908
% 151.54/152.00 Kept: 172531
% 151.54/152.00 Inuse: 1955
% 151.54/152.00 Deleted: 4167
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 962908
% 268.52/268.97 Kept: 174845
% 268.52/268.97 Inuse: 1960
% 268.52/268.97 Deleted: 4167
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 982756
% 268.52/268.97 Kept: 176876
% 268.52/268.97 Inuse: 1965
% 268.52/268.97 Deleted: 4167
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1008678
% 268.52/268.97 Kept: 179977
% 268.52/268.97 Inuse: 1980
% 268.52/268.97 Deleted: 4167
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1029014
% 268.52/268.97 Kept: 182214
% 268.52/268.97 Inuse: 1985
% 268.52/268.97 Deleted: 4167
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1044102
% 268.52/268.97 Kept: 184430
% 268.52/268.97 Inuse: 2005
% 268.52/268.97 Deleted: 4167
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1070771
% 268.52/268.97 Kept: 187140
% 268.52/268.97 Inuse: 2020
% 268.52/268.97 Deleted: 4167
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying clauses:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1091407
% 268.52/268.97 Kept: 189425
% 268.52/268.97 Inuse: 2025
% 268.52/268.97 Deleted: 4245
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1104091
% 268.52/268.97 Kept: 191571
% 268.52/268.97 Inuse: 2045
% 268.52/268.97 Deleted: 4245
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1111352
% 268.52/268.97 Kept: 193656
% 268.52/268.97 Inuse: 2056
% 268.52/268.97 Deleted: 4259
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1116693
% 268.52/268.97 Kept: 195883
% 268.52/268.97 Inuse: 2060
% 268.52/268.97 Deleted: 4275
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1125106
% 268.52/268.97 Kept: 198116
% 268.52/268.97 Inuse: 2070
% 268.52/268.97 Deleted: 4295
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1136948
% 268.52/268.97 Kept: 200770
% 268.52/268.97 Inuse: 2090
% 268.52/268.97 Deleted: 4295
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1150966
% 268.52/268.97 Kept: 203112
% 268.52/268.97 Inuse: 2110
% 268.52/268.97 Deleted: 4295
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1166507
% 268.52/268.97 Kept: 205152
% 268.52/268.97 Inuse: 2133
% 268.52/268.97 Deleted: 4295
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1195050
% 268.52/268.97 Kept: 212308
% 268.52/268.97 Inuse: 2140
% 268.52/268.97 Deleted: 4295
% 268.52/268.97 Deletedinuse: 29
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying clauses:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1209383
% 268.52/268.97 Kept: 214353
% 268.52/268.97 Inuse: 2157
% 268.52/268.97 Deleted: 4769
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1237769
% 268.52/268.97 Kept: 217646
% 268.52/268.97 Inuse: 2165
% 268.52/268.97 Deleted: 4769
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1262774
% 268.52/268.97 Kept: 222057
% 268.52/268.97 Inuse: 2190
% 268.52/268.97 Deleted: 4769
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1275828
% 268.52/268.97 Kept: 224176
% 268.52/268.97 Inuse: 2200
% 268.52/268.97 Deleted: 4769
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1289598
% 268.52/268.97 Kept: 227150
% 268.52/268.97 Inuse: 2215
% 268.52/268.97 Deleted: 4769
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1300183
% 268.52/268.97 Kept: 229736
% 268.52/268.97 Inuse: 2225
% 268.52/268.97 Deleted: 4769
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1307272
% 268.52/268.97 Kept: 231920
% 268.52/268.97 Inuse: 2230
% 268.52/268.97 Deleted: 4769
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1314383
% 268.52/268.97 Kept: 233976
% 268.52/268.97 Inuse: 2235
% 268.52/268.97 Deleted: 4769
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying clauses:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate Status:
% 268.52/268.97 Generated: 1346442
% 268.52/268.97 Kept: 236893
% 268.52/268.97 Inuse: 2250
% 268.52/268.97 Deleted: 5223
% 268.52/268.97 Deletedinuse: 30
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97 Resimplifying inuse:
% 268.52/268.97 Done
% 268.52/268.97
% 268.52/268.97
% 268.52/268.97 Intermediate StatuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------