TSTP Solution File: LCL800-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 07:58:09 EDT 2022
% Result : Unsatisfiable 36.25s 36.67s
% Output : Refutation 36.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 23:52:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.78/1.19 *** allocated 10000 integers for termspace/termends
% 0.78/1.19 *** allocated 10000 integers for clauses
% 0.78/1.19 *** allocated 10000 integers for justifications
% 0.78/1.19 Bliksem 1.12
% 0.78/1.19
% 0.78/1.19
% 0.78/1.19 Automatic Strategy Selection
% 0.78/1.19
% 0.78/1.19 Clauses:
% 0.78/1.19 [
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.19 , Y, X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.78/1.19 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.78/1.19 ,
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.19 , Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.78/1.19 ), Y ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.78/1.19 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.78/1.19 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.78/1.19 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.78/1.19 , X ), W, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.78/1.19 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.78/1.19 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.78/1.19 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.78/1.19 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.78/1.19 ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.78/1.19 ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.78/1.19 Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.78/1.19 ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.78/1.19 X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.78/1.19 X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 X, T, 'tc_nat' ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.78/1.19 X ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.78/1.19 ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.78/1.19 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.78/1.19 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.78/1.19 , X ), W, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.78/1.19 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.78/1.19 W, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.78/1.19 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.78/1.19 , X ), T, X ), W, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.78/1.19 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.78/1.19 W, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.78/1.19 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.19 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.78/1.19 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.78/1.19 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.78/1.19 , T, X ) ) ), =( Y, Z ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.78/1.19 , T, X ) ) ), =( Z, T ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ) ), =( Y, Z ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.19 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.78/1.19 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 0.78/1.19 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.78/1.19 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.78/1.19 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.78/1.19 ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 ) ), =( Y, Z ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 ) ), =( Y, Z ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.78/1.19 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.78/1.19 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.78/1.19 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.78/1.19 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.78/1.19 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.78/1.19 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.78/1.19 X ) ) ), =( Z, T ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.78/1.19 X ) ) ), =( Z, T ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.78/1.19 X ) ) ), =( Y, T ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.78/1.19 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.78/1.19 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.78/1.19 X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.78/1.19 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.78/1.19 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.78/1.19 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.78/1.19 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.19 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.19 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 X ), T, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.78/1.19 ],
% 0.78/1.19 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.78/1.19 , X, 'tc_nat' ), X ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ), 'tc_nat' ), X ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.78/1.19 ), X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.78/1.19 ), Y ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.78/1.19 ,
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.78/1.19 ,
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.78/1.19 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.19 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.78/1.19 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.19 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.78/1.19 ,
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.19 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.78/1.19 ,
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.78/1.19 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.78/1.19 , T ), =( X, Z ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.78/1.19 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.78/1.19 , T ), =( X, Z ) ],
% 0.78/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.78/1.19 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.78/1.19 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.78/1.19 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.78/1.19 ) ],
% 0.78/1.19 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 , X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.19 , X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.78/1.19 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.78/1.19 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.78/1.19 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.78/1.19 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.78/1.19 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 0.78/1.19 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.78/1.19 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 Y, T, X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 Y, T, X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.78/1.19 X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 Z, T, X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 Z, T, X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.78/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.78/1.19 X ), X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.78/1.19 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.78/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.19 , Y, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.19 , T, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.78/1.19 , T, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.19 , Y, X ), X ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.19 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.78/1.19 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.78/1.19 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.78/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.78/1.19 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.78/1.19 ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.78/1.19 T, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.78/1.19 X ), Z, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.78/1.19 T, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.78/1.19 X ), T, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.78/1.19 T, X ), X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.78/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.78/1.19 X ), T, X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.78/1.19 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.78/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.19 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.19 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.19 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.19 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.78/1.19 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ) ), X, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.78/1.19 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ) ), X, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.78/1.19 X ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.78/1.19 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.78/1.19 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.78/1.19 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.78/1.19 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.19 ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.19 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.19 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.19 ) ],
% 0.78/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.78/1.19 ), =( Z, Y ) ],
% 0.78/1.19 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.78/1.19 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.19 , Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.78/1.19 , Y, X ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.78/1.19 , X ) ) ],
% 0.78/1.19 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( X, 'c_Suc'(
% 0.78/1.19 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ) ) ), =(
% 0.78/1.19 X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.78/1.19 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.78/1.19 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.78/1.19 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.78/1.19 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.78/1.19 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.78/1.19 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1'( X
% 0.78/1.19 ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.78/1.19 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.78/1.19 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1'( X ) )
% 0.78/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.78/1.19 , X, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ), Y,
% 0.78/1.19 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.78/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.78/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.78/1.19 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ), 'tc_nat' ) ) ],
% 0.78/1.19 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.78/1.19 ), 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.78/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.19 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_Suc'( X ), 'tc_nat' ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.78/1.19 'c_Suc'( X ), 'tc_nat' ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.78/1.19 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.78/1.19 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.78/1.19 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.78/1.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.78/1.19 ,
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.78/1.19 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.78/1.19 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.78/1.19 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.78/1.19 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.78/1.19 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.78/1.19 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.78/1.19 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.78/1.19 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.78/1.19 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.78/1.19 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.78/1.19 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.78/1.19 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.78/1.19 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.78/1.19 ],
% 0.78/1.19 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.78/1.19 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.78/1.19 'tc_nat' ) ],
% 0.78/1.19 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), 'c_Lambda_Olift'(
% 0.78/1.19 'c_Lambda_Oliftn'( X, Y, Z ), Z ) ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.78/1.19 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.78/1.19 'tc_nat' ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.78/1.19 ) ],
% 0.78/1.19 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.78/1.19 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.78/1.19 ,
% 0.78/1.19 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.78/1.19 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.78/1.19 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.78/1.19 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.78/1.19 ,
% 0.78/1.19 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.78/1.19 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.78/1.19 ) ) ],
% 0.78/1.19 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.78/1.19 ) ), =( X, T ) ],
% 0.78/1.19 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.78/1.19 ) ), =( Y, U ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.78/1.19 ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.78/1.19 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.78/1.19 Z, T ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.78/1.19 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.78/1.19 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.78/1.19 =( X, Z ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.78/1.19 =( Y, T ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.78/1.19 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.78/1.19 'c_InductTermi_OIT'( X ) ) ],
% 0.78/1.19 [ =( 'v_n____', 'v_i____' ) ],
% 0.78/1.19 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.78/1.19 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.78/1.19 ) ],
% 0.78/1.19 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.78/1.19 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.78/1.19 [ 'c_InductTermi_OIT'( 'v_ua______' ) ],
% 0.78/1.19 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.78/1.19 'c_InductTermi_OIT'( X ) ) ],
% 0.78/1.19 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.78/1.19 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.78/1.19 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.78/1.19 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.78/1.19 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 0.78/1.19 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OApp'( Y, Z ), T ),
% 0.78/1.19 'c_Lambda_OdB_OApp'( 'c_Lambda_Oliftn'( X, Y, T ), 'c_Lambda_Oliftn'( X,
% 0.78/1.19 Z, T ) ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.78/1.19 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 0.78/1.19 'tc_Lambda_OdB' ) ) ],
% 0.78/1.19 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.78/1.19 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.78/1.19 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.78/1.19 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ), 'c_Lambda_Osubstn'( Y
% 0.78/1.19 , Z, T ) ) ) ],
% 0.78/1.19 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.78/1.19 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'(
% 0.78/1.19 'c_Lambda_Olift'( 'v_u____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.78/1.19 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 0.78/1.19 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_i____' ),
% 0.78/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.78/1.19 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____',
% 0.78/1.19 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_i____' ) ) ) ) ],
% 0.78/1.19 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.78/1.19 ],
% 0.78/1.19 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.78/1.19 ) ],
% 0.78/1.19 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.78/1.19 ],
% 0.78/1.19 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.78/1.19 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 0.78/1.19 ] .
% 0.78/1.19
% 0.78/1.19
% 0.78/1.19 percentage equality = 0.360000, percentage horn = 0.872464
% 0.78/1.19 This is a problem with some equality
% 0.78/1.19
% 0.78/1.19
% 0.78/1.19
% 0.78/1.19 Options Used:
% 0.78/1.19
% 0.78/1.19 useres = 1
% 0.78/1.19 useparamod = 1
% 0.78/1.19 useeqrefl = 1
% 0.78/1.19 useeqfact = 1
% 0.78/1.19 usefactor = 1
% 0.78/1.19 usesimpsplitting = 0
% 0.78/1.19 usesimpdemod = 5
% 0.78/1.19 usesimpres = 3
% 0.78/1.19
% 0.78/1.19 resimpinuse = 1000
% 0.78/1.19 resimpclauses = 20000
% 0.78/1.19 substype = eqrewr
% 0.78/1.19 backwardsubs = 1
% 0.78/1.19 selectoldest = 5
% 0.78/1.19
% 0.78/1.19 litorderings [0] = split
% 0.78/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.19
% 0.78/1.19 termordering = kbo
% 0.78/1.19
% 0.78/1.19 litapriori = 0
% 0.78/1.19 termapriori = 1
% 0.78/1.19 litaposteriori = 0
% 0.78/1.19 termaposteriori = 0
% 0.78/1.19 demodaposteriori = 0
% 4.28/4.65 ordereqreflfact = 0
% 4.28/4.65
% 4.28/4.65 litselect = negord
% 4.28/4.65
% 4.28/4.65 maxweight = 15
% 4.28/4.65 maxdepth = 30000
% 4.28/4.65 maxlength = 115
% 4.28/4.65 maxnrvars = 195
% 4.28/4.65 excuselevel = 1
% 4.28/4.65 increasemaxweight = 1
% 4.28/4.65
% 4.28/4.65 maxselected = 10000000
% 4.28/4.65 maxnrclauses = 10000000
% 4.28/4.65
% 4.28/4.65 showgenerated = 0
% 4.28/4.65 showkept = 0
% 4.28/4.65 showselected = 0
% 4.28/4.65 showdeleted = 0
% 4.28/4.65 showresimp = 1
% 4.28/4.65 showstatus = 2000
% 4.28/4.65
% 4.28/4.65 prologoutput = 1
% 4.28/4.65 nrgoals = 5000000
% 4.28/4.65 totalproof = 1
% 4.28/4.65
% 4.28/4.65 Symbols occurring in the translation:
% 4.28/4.65
% 4.28/4.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.28/4.65 . [1, 2] (w:1, o:103, a:1, s:1, b:0),
% 4.28/4.65 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 4.28/4.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.28/4.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:62, a:1
% 4.28/4.65 , s:1, b:0),
% 4.28/4.65 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:134, a:1, s:1, b:0),
% 4.28/4.65 'tc_nat' [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 4.28/4.65 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.28/4.65 'c_HOL_Oplus__class_Oplus' [46, 3] (w:1, o:136, a:1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Olordered__ab__group__add' [47, 1] (w:1, o:65, a:
% 4.28/4.65 1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Ogroup__add' [52, 1] (w:1, o:66, a:1, s:1, b:0),
% 4.28/4.65
% 4.28/4.65 'c_HOL_Ominus__class_Ominus' [53, 3] (w:1, o:137, a:1, s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Oidom' [54, 1] (w:1, o:67, a:1, s:1, b:0),
% 4.28/4.65 'class_Int_Onumber__ring' [55, 1] (w:1, o:68, a:1, s:1, b:0),
% 4.28/4.65 'c_Suc' [59, 1] (w:1, o:69, a:1, s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Oring' [60, 1] (w:1, o:70, a:1, s:1, b:0),
% 4.28/4.65 'c_HOL_Oord__class_Oless' [63, 3] (w:1, o:135, a:1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Ocomm__monoid__add' [66, 1] (w:1, o:71, a:1, s:1
% 4.28/4.65 , b:0),
% 4.28/4.65 'class_Nat_Osemiring__char__0' [68, 1] (w:1, o:64, a:1, s:1, b:0),
% 4.28/4.65 'c_Nat_Osemiring__1__class_Oof__nat' [69, 2] (w:1, o:128, a:1, s:1
% 4.28/4.65 , b:0),
% 4.28/4.65 'class_OrderedGroup_Oab__group__add' [70, 1] (w:1, o:72, a:1, s:1, b:
% 4.28/4.65 0),
% 4.28/4.65 'class_Ring__and__Field_Opordered__ring' [71, 1] (w:1, o:78, a:1, s:1
% 4.28/4.65 , b:0),
% 4.28/4.65 'class_Ring__and__Field_Oring__no__zero__divisors' [72, 1] (w:1, o:79
% 4.28/4.65 , a:1, s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Ono__zero__divisors' [73, 1] (w:1, o:81, a:1
% 4.28/4.65 , s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Oab__semigroup__add' [74, 1] (w:1, o:82, a:1, s:1
% 4.28/4.65 , b:0),
% 4.28/4.65 'class_Ring__and__Field_Osemiring' [79, 1] (w:1, o:83, a:1, s:1, b:0)
% 4.28/4.65 ,
% 4.28/4.65 'class_Ring__and__Field_Osemiring__1' [80, 1] (w:1, o:84, a:1, s:1
% 4.28/4.65 , b:0),
% 4.28/4.65 'class_OrderedGroup_Opordered__comm__monoid__add' [81, 1] (w:1, o:85
% 4.28/4.65 , a:1, s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Oordered__ring__strict' [82, 1] (w:1, o:73
% 4.28/4.65 , a:1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Ocancel__ab__semigroup__add' [83, 1] (w:1, o:86
% 4.28/4.65 , a:1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Ocancel__semigroup__add' [84, 1] (w:1, o:87, a:1
% 4.28/4.65 , s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Oordered__semidom' [85, 1] (w:1, o:74, a:1
% 4.28/4.65 , s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Oordered__semiring__strict' [86, 1] (w:1, o:
% 4.28/4.65 75, a:1, s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Oordered__comm__semiring__strict' [87, 1] (w:
% 4.28/4.65 1, o:76, a:1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Omonoid__add' [88, 1] (w:1, o:88, a:1, s:1, b:0)
% 4.28/4.65 ,
% 4.28/4.65 'class_Ring__and__Field_Oordered__idom' [89, 1] (w:1, o:77, a:1, s:1
% 4.28/4.65 , b:0),
% 4.28/4.65 'class_Ring__and__Field_Omult__zero' [95, 1] (w:1, o:80, a:1, s:1, b:
% 4.28/4.65 0),
% 4.28/4.65 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [96, 1]
% 4.28/4.65 (w:1, o:89, a:1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Opordered__ab__group__add' [97, 1] (w:1, o:90, a:
% 4.28/4.65 1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Oab__semigroup__idem__mult' [98, 1] (w:1, o:91
% 4.28/4.65 , a:1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [100, 1]
% 4.28/4.65 (w:1, o:92, a:1, s:1, b:0),
% 4.28/4.65 'class_OrderedGroup_Oab__semigroup__mult' [101, 1] (w:1, o:93, a:1
% 4.28/4.65 , s:1, b:0),
% 4.28/4.65 'class_Ring__and__Field_Ocomm__semiring' [102, 1] (w:1, o:94, a:1, s:
% 4.28/4.65 1, b:0),
% 4.28/4.65 'class_Orderings_Opreorder' [103, 1] (w:1, o:96, a:1, s:1, b:0),
% 4.28/4.65 'class_Orderings_Olinorder' [104, 1] (w:1, o:97, a:1, s:1, b:0),
% 36.12/36.49 'class_Orderings_Oorder' [105, 1] (w:1, o:95, a:1, s:1, b:0),
% 36.12/36.49 'c_Lambda_Oliftn' [107, 3] (w:1, o:138, a:1, s:1, b:0),
% 36.12/36.49 'c_Lambda_OdB_OVar' [109, 1] (w:1, o:98, a:1, s:1, b:0),
% 36.12/36.49 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1' [110, 2] (w:
% 36.12/36.49 1, o:129, a:1, s:1, b:0),
% 36.12/36.49 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1' [112, 1] (w:1, o:
% 36.12/36.49 99, a:1, s:1, b:0),
% 36.12/36.49 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1' [113, 1] (w:1, o:100
% 36.12/36.49 , a:1, s:1, b:0),
% 36.12/36.49 'c_Lambda_OdB_OAbs' [115, 1] (w:1, o:101, a:1, s:1, b:0),
% 36.12/36.49 'c_Lambda_Obeta' [116, 2] (w:1, o:130, a:1, s:1, b:0),
% 36.12/36.49 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [117, 2] (w:1, o:131, a:1
% 36.12/36.49 , s:1, b:0),
% 36.12/36.49 'c_Lambda_Osubstn' [118, 3] (w:1, o:139, a:1, s:1, b:0),
% 36.12/36.49 'c_List_Olist_OCons' [120, 3] (w:1, o:140, a:1, s:1, b:0),
% 36.12/36.49 'c_Lambda_Olift' [121, 2] (w:1, o:132, a:1, s:1, b:0),
% 36.12/36.49 'c_Lambda_Osubst' [122, 3] (w:1, o:141, a:1, s:1, b:0),
% 36.12/36.49 'c_Lambda_OdB_OApp' [125, 2] (w:1, o:133, a:1, s:1, b:0),
% 36.12/36.49 'c_InductTermi_OIT' [131, 1] (w:1, o:102, a:1, s:1, b:0),
% 36.12/36.49 'v_n____' [134, 0] (w:1, o:49, a:1, s:1, b:0),
% 36.12/36.49 'v_i____' [135, 0] (w:1, o:50, a:1, s:1, b:0),
% 36.12/36.49 'v_ua______' [136, 0] (w:1, o:51, a:1, s:1, b:0),
% 36.12/36.49 'v_u____' [137, 0] (w:1, o:52, a:1, s:1, b:0),
% 36.12/36.49 'v_rs____' [138, 0] (w:1, o:53, a:1, s:1, b:0),
% 36.12/36.49 'v_a____' [139, 0] (w:1, o:54, a:1, s:1, b:0),
% 36.12/36.49 'v_as____' [140, 0] (w:1, o:55, a:1, s:1, b:0),
% 36.12/36.49 'tc_Lambda_OdB' [141, 0] (w:1, o:56, a:1, s:1, b:0).
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Starting Search:
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 5346
% 36.12/36.49 Kept: 2002
% 36.12/36.49 Inuse: 144
% 36.12/36.49 Deleted: 5
% 36.12/36.49 Deletedinuse: 0
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 15053
% 36.12/36.49 Kept: 4102
% 36.12/36.49 Inuse: 181
% 36.12/36.49 Deleted: 6
% 36.12/36.49 Deletedinuse: 1
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 25400
% 36.12/36.49 Kept: 6106
% 36.12/36.49 Inuse: 220
% 36.12/36.49 Deleted: 6
% 36.12/36.49 Deletedinuse: 1
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 35738
% 36.12/36.49 Kept: 8110
% 36.12/36.49 Inuse: 274
% 36.12/36.49 Deleted: 9
% 36.12/36.49 Deletedinuse: 2
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 51243
% 36.12/36.49 Kept: 10774
% 36.12/36.49 Inuse: 305
% 36.12/36.49 Deleted: 10
% 36.12/36.49 Deletedinuse: 2
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 65959
% 36.12/36.49 Kept: 13605
% 36.12/36.49 Inuse: 354
% 36.12/36.49 Deleted: 17
% 36.12/36.49 Deletedinuse: 7
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 74504
% 36.12/36.49 Kept: 15606
% 36.12/36.49 Inuse: 384
% 36.12/36.49 Deleted: 17
% 36.12/36.49 Deletedinuse: 7
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 91567
% 36.12/36.49 Kept: 17902
% 36.12/36.49 Inuse: 404
% 36.12/36.49 Deleted: 19
% 36.12/36.49 Deletedinuse: 7
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 108919
% 36.12/36.49 Kept: 20163
% 36.12/36.49 Inuse: 426
% 36.12/36.49 Deleted: 23
% 36.12/36.49 Deletedinuse: 8
% 36.12/36.49
% 36.12/36.49 Resimplifying clauses:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 119435
% 36.12/36.49 Kept: 22177
% 36.12/36.49 Inuse: 466
% 36.12/36.49 Deleted: 444
% 36.12/36.49 Deletedinuse: 8
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 129647
% 36.12/36.49 Kept: 24267
% 36.12/36.49 Inuse: 506
% 36.12/36.49 Deleted: 446
% 36.12/36.49 Deletedinuse: 10
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 143982
% 36.12/36.49 Kept: 26335
% 36.12/36.49 Inuse: 557
% 36.12/36.49 Deleted: 446
% 36.12/36.49 Deletedinuse: 10
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 159453
% 36.12/36.49 Kept: 28410
% 36.12/36.49 Inuse: 586
% 36.12/36.49 Deleted: 446
% 36.12/36.49 Deletedinuse: 10
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 183756
% 36.12/36.49 Kept: 31006
% 36.12/36.49 Inuse: 611
% 36.12/36.49 Deleted: 446
% 36.12/36.49 Deletedinuse: 10
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49 Resimplifying inuse:
% 36.12/36.49 Done
% 36.12/36.49
% 36.12/36.49
% 36.12/36.49 Intermediate Status:
% 36.12/36.49 Generated: 198200
% 36.12/36.49 Kept: 33147
% 36.12/36.49 Inuse: 652
% 36.12/36.49 Deleted: 452
% 36.25/36.67 Deletedinuse: 12
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 238839
% 36.25/36.67 Kept: 35739
% 36.25/36.67 Inuse: 662
% 36.25/36.67 Deleted: 452
% 36.25/36.67 Deletedinuse: 12
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 260131
% 36.25/36.67 Kept: 38176
% 36.25/36.67 Inuse: 712
% 36.25/36.67 Deleted: 458
% 36.25/36.67 Deletedinuse: 13
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 270802
% 36.25/36.67 Kept: 40301
% 36.25/36.67 Inuse: 742
% 36.25/36.67 Deleted: 459
% 36.25/36.67 Deletedinuse: 14
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying clauses:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 301362
% 36.25/36.67 Kept: 42952
% 36.25/36.67 Inuse: 777
% 36.25/36.67 Deleted: 1013
% 36.25/36.67 Deletedinuse: 14
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 328921
% 36.25/36.67 Kept: 44970
% 36.25/36.67 Inuse: 791
% 36.25/36.67 Deleted: 1013
% 36.25/36.67 Deletedinuse: 14
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 344330
% 36.25/36.67 Kept: 46976
% 36.25/36.67 Inuse: 814
% 36.25/36.67 Deleted: 1013
% 36.25/36.67 Deletedinuse: 14
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 357100
% 36.25/36.67 Kept: 50351
% 36.25/36.67 Inuse: 834
% 36.25/36.67 Deleted: 1013
% 36.25/36.67 Deletedinuse: 14
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 380542
% 36.25/36.67 Kept: 52618
% 36.25/36.67 Inuse: 871
% 36.25/36.67 Deleted: 1014
% 36.25/36.67 Deletedinuse: 14
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 398427
% 36.25/36.67 Kept: 54920
% 36.25/36.67 Inuse: 886
% 36.25/36.67 Deleted: 1014
% 36.25/36.67 Deletedinuse: 14
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 413455
% 36.25/36.67 Kept: 57031
% 36.25/36.67 Inuse: 916
% 36.25/36.67 Deleted: 1015
% 36.25/36.67 Deletedinuse: 15
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 430068
% 36.25/36.67 Kept: 59213
% 36.25/36.67 Inuse: 951
% 36.25/36.67 Deleted: 1015
% 36.25/36.67 Deletedinuse: 15
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying clauses:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 446024
% 36.25/36.67 Kept: 61386
% 36.25/36.67 Inuse: 986
% 36.25/36.67 Deleted: 1616
% 36.25/36.67 Deletedinuse: 20
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 464937
% 36.25/36.67 Kept: 63564
% 36.25/36.67 Inuse: 1006
% 36.25/36.67 Deleted: 1623
% 36.25/36.67 Deletedinuse: 27
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 488641
% 36.25/36.67 Kept: 65638
% 36.25/36.67 Inuse: 1016
% 36.25/36.67 Deleted: 1623
% 36.25/36.67 Deletedinuse: 27
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 510943
% 36.25/36.67 Kept: 68975
% 36.25/36.67 Inuse: 1031
% 36.25/36.67 Deleted: 1623
% 36.25/36.67 Deletedinuse: 27
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 521600
% 36.25/36.67 Kept: 72100
% 36.25/36.67 Inuse: 1038
% 36.25/36.67 Deleted: 1624
% 36.25/36.67 Deletedinuse: 27
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 527752
% 36.25/36.67 Kept: 74116
% 36.25/36.67 Inuse: 1040
% 36.25/36.67 Deleted: 1626
% 36.25/36.67 Deletedinuse: 29
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 546605
% 36.25/36.67 Kept: 76868
% 36.25/36.67 Inuse: 1069
% 36.25/36.67 Deleted: 1628
% 36.25/36.67 Deletedinuse: 30
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 558797
% 36.25/36.67 Kept: 80370
% 36.25/36.67 Inuse: 1080
% 36.25/36.67 Deleted: 1629
% 36.25/36.67 Deletedinuse: 31
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying clauses:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 570928
% 36.25/36.67 Kept: 82489
% 36.25/36.67 Inuse: 1109
% 36.25/36.67 Deleted: 2326
% 36.25/36.67 Deletedinuse: 32
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 597650
% 36.25/36.67 Kept: 85621
% 36.25/36.67 Inuse: 1124
% 36.25/36.67 Deleted: 2326
% 36.25/36.67 Deletedinuse: 32
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 614274
% 36.25/36.67 Kept: 87682
% 36.25/36.67 Inuse: 1139
% 36.25/36.67 Deleted: 2326
% 36.25/36.67 Deletedinuse: 32
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 644304
% 36.25/36.67 Kept: 92451
% 36.25/36.67 Inuse: 1153
% 36.25/36.67 Deleted: 2327
% 36.25/36.67 Deletedinuse: 32
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 659973
% 36.25/36.67 Kept: 95758
% 36.25/36.67 Inuse: 1158
% 36.25/36.67 Deleted: 2327
% 36.25/36.67 Deletedinuse: 32
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Intermediate Status:
% 36.25/36.67 Generated: 675368
% 36.25/36.67 Kept: 97911
% 36.25/36.67 Inuse: 1188
% 36.25/36.67 Deleted: 2328
% 36.25/36.67 Deletedinuse: 33
% 36.25/36.67
% 36.25/36.67 Resimplifying inuse:
% 36.25/36.67 Done
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 Bliksems!, er is een bewijs:
% 36.25/36.67 % SZS status Unsatisfiable
% 36.25/36.67 % SZS output start Refutation
% 36.25/36.67
% 36.25/36.67 clause( 220, [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 36.25/36.67 , X, Y ), X ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 234, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 254, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 36.25/36.67 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 260, [ =( 'c_Lambda_Osubst'( X, 'c_Lambda_Oliftn'( Z, Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 'c_Lambda_Osubstn'( X, Y,
% 36.25/36.67 Z ) ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 269, [ =( 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ) ) ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 281, [ =( 'v_i____', 'v_n____' ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 291, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X )
% 36.25/36.67 ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 294, [ =( 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ),
% 36.25/36.67 'c_Lambda_Osubstn'( Y, Z, T ) ), 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.67 X, Y ), Z, T ) ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 295, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.67 'c_Lambda_Olift'( 'v_u____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 36.25/36.67 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 36.25/36.67 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 296, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____',
% 36.25/36.67 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ) ) ) ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 80982, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ) ), X ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 82383, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X
% 36.25/36.67 ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 97756, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.67 'c_Lambda_Olift'( X, Y ), T ), Z, Y ), 'c_Lambda_OdB_OApp'( X,
% 36.25/36.67 'c_Lambda_Osubstn'( T, Z, Y ) ) ) ] )
% 36.25/36.67 .
% 36.25/36.67 clause( 98161, [] )
% 36.25/36.67 .
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 % SZS output end Refutation
% 36.25/36.67 found a proof!
% 36.25/36.67
% 36.25/36.67 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 36.25/36.67
% 36.25/36.67 initialclauses(
% 36.25/36.67 [ clause( 98163, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 Z, Y, X ) ) ] )
% 36.25/36.67 , clause( 98164, [ =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98165, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 36.25/36.67 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98166, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98167, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 Z, Y, X ) ) ] )
% 36.25/36.67 , clause( 98168, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 36.25/36.67 ), Y ) ] )
% 36.25/36.67 , clause( 98169, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 36.25/36.67 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 36.25/36.67 , clause( 98170, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 36.25/36.67 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 36.25/36.67 , clause( 98171, [ =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 36.25/36.67 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98172, [ =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 36.25/36.67 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98173, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98174, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 36.25/36.67 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98175, [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat'
% 36.25/36.67 ), 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98176, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat'
% 36.25/36.67 ), 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98177, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98178, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 36.25/36.67 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 36.25/36.67 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 36.25/36.67 , X ), W, X ) ) ] )
% 36.25/36.67 , clause( 98179, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 36.25/36.67 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 36.25/36.67 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 36.25/36.67 , clause( 98180, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98181, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ), 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98182, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98183, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98184, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98185, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 36.25/36.67 Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98186, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98187, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 Y, Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98188, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 36.25/36.67 Y, X ) ) ] )
% 36.25/36.67 , clause( 98189, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 36.25/36.67 X ) ) ] )
% 36.25/36.67 , clause( 98190, [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98191, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 X, T, 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98192, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 36.25/36.67 Y, X ) ) ] )
% 36.25/36.67 , clause( 98193, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98194, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98195, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98196, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98197, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 36.25/36.67 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98198, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X )
% 36.25/36.67 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98199, [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) )
% 36.25/36.67 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98200, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98201, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98202, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98203, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98204, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 36.25/36.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98205, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98206, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ] )
% 36.25/36.67 , clause( 98207, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98208, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98209, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ] )
% 36.25/36.67 , clause( 98210, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98211, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98212, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 36.25/36.67 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98213, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 36.25/36.67 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 36.25/36.67 , X ), W, X ), X ) ) ] )
% 36.25/36.67 , clause( 98214, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 36.25/36.67 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 36.25/36.67 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 36.25/36.67 W, X ), X ) ) ] )
% 36.25/36.67 , clause( 98215, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 36.25/36.67 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 36.25/36.67 , X ), T, X ), W, X ) ) ] )
% 36.25/36.67 , clause( 98216, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 36.25/36.67 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 36.25/36.67 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 36.25/36.67 W, X ), X ) ) ] )
% 36.25/36.67 , clause( 98217, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 36.25/36.67 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 36.25/36.67 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98218, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 36.25/36.67 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98219, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98220, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 36.25/36.67 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 36.25/36.67 , X ) ) ] )
% 36.25/36.67 , clause( 98221, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98222, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 36.25/36.67 ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98223, [ =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat'
% 36.25/36.67 ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98224, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98225, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98226, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98227, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 36.25/36.67 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 36.25/36.67 , X ) ) ] )
% 36.25/36.67 , clause( 98228, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 36.25/36.67 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 36.25/36.67 , X ) ) ] )
% 36.25/36.67 , clause( 98229, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 36.25/36.67 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 36.25/36.67 , X ) ) ] )
% 36.25/36.67 , clause( 98230, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 36.25/36.67 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 36.25/36.67 , X ) ) ] )
% 36.25/36.67 , clause( 98231, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98232, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 36.25/36.67 , clause( 98233, [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 36.25/36.67 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98234, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98235, [ =( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 36.25/36.67 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98236, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 36.25/36.67 , T, X ) ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98237, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 36.25/36.67 , T, X ) ) ), =( Z, T ) ] )
% 36.25/36.67 , clause( 98238, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 36.25/36.67 'tc_nat' ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98239, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98240, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98241, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98242, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98243, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat'
% 36.25/36.67 ), 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98244, [ =( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98245, [ =( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 Z, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98246, [ =( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 X, Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98247, [ =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat'
% 36.25/36.67 ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 36.25/36.67 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98248, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 36.25/36.67 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 36.25/36.67 , clause( 98249, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98250, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 36.25/36.67 X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98251, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 36.25/36.67 Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98252, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 36.25/36.67 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98253, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 36.25/36.67 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98254, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 36.25/36.67 ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98255, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 36.25/36.67 ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98256, [ =( 'c_HOL_Otimes__class_Otimes'( X,
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 36.25/36.67 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98257, [ =( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 36.25/36.67 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98258, [ =( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 36.25/36.67 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98259, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 36.25/36.67 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98260, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_Suc'( X ), Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ),
% 36.25/36.67 Z, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98261, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 36.25/36.67 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98262, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98263, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ] )
% 36.25/36.67 , clause( 98264, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ] )
% 36.25/36.67 , clause( 98265, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 36.25/36.67 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 36.25/36.67 , clause( 98266, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 36.25/36.67 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 36.25/36.67 , clause( 98267, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 36.25/36.67 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 Y, T, X ) ) ), =( Z, T ) ] )
% 36.25/36.67 , clause( 98268, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 36.25/36.67 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 T, Z, X ) ) ), =( Y, T ) ] )
% 36.25/36.67 , clause( 98269, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98270, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98271, [ =( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 36.25/36.67 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X
% 36.25/36.67 , Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98272, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98273, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98274, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 36.25/36.67 X ), X ) ) ] )
% 36.25/36.67 , clause( 98275, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 36.25/36.67 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 36.25/36.67 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98276, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98277, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 36.25/36.67 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 36.25/36.67 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 36.25/36.67 , clause( 98278, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 36.25/36.67 , clause( 98279, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 36.25/36.67 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 36.25/36.67 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98280, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ),
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98281, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98282, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98283, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ),
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98284, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 36.25/36.67 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98285, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98286, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 36.25/36.67 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98287, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98288, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 36.25/36.67 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 X ), T, X ) ) ] )
% 36.25/36.67 , clause( 98289, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 36.25/36.67 , clause( 98290, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 36.25/36.67 , clause( 98291, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 36.25/36.67 , clause( 98292, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 36.25/36.67 , clause( 98293, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98294, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 36.25/36.67 , clause( 98295, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 36.25/36.67 , clause( 98296, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 36.25/36.67 , clause( 98297, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98298, [ ~(
% 36.25/36.67 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 36.25/36.67 , clause( 98299, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98300, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98301, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98302, [ =( X, 'c_HOL_Oplus__class_Oplus'( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98303, [ =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ), X ) ] )
% 36.25/36.67 , clause( 98304, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ] )
% 36.25/36.67 , clause( 98305, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98306, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98307, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98308, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98309, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98310, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98311, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 36.25/36.67 , clause( 98312, [ =( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), X ) ] )
% 36.25/36.67 , clause( 98313, [ =( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 36.25/36.67 , clause( 98314, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 36.25/36.67 ), Y ) ] )
% 36.25/36.67 , clause( 98315, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98316, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98317, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 36.25/36.67 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 36.25/36.67 , clause( 98318, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 36.25/36.67 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 36.25/36.67 , clause( 98319, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 36.25/36.67 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98320, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98321, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 36.25/36.67 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98322, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 36.25/36.67 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98323, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98324, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98325, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98326, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 36.25/36.67 , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98327, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 36.25/36.67 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 36.25/36.67 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 36.25/36.67 , clause( 98328, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 36.25/36.67 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 36.25/36.67 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 36.25/36.67 , clause( 98329, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 36.25/36.67 , clause( 98330, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98331, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 36.25/36.67 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98332, [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ),
% 36.25/36.67 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98333, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 36.25/36.67 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98334, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 36.25/36.67 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98335, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 36.25/36.67 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 36.25/36.67 , clause( 98336, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 36.25/36.67 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 36.25/36.67 =( Y, T ) ] )
% 36.25/36.67 , clause( 98337, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 36.25/36.67 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 36.25/36.67 =( Y, T ) ] )
% 36.25/36.67 , clause( 98338, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 36.25/36.67 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 36.25/36.67 , T ), =( X, Z ) ] )
% 36.25/36.67 , clause( 98339, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 36.25/36.67 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 36.25/36.67 , T ), =( X, Z ) ] )
% 36.25/36.67 , clause( 98340, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'(
% 36.25/36.67 Y ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98341, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98342, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 36.25/36.67 , clause( 98343, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 36.25/36.67 , clause( 98344, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 36.25/36.67 , clause( 98345, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 36.25/36.67 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98346, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 36.25/36.67 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98347, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 36.25/36.67 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 36.25/36.67 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98348, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 36.25/36.67 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 36.25/36.67 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98349, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98350, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98351, [ =( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98352, [ =( 'c_HOL_Otimes__class_Otimes'( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98353, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 36.25/36.67 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98354, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 X, Y, 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98355, [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 36.25/36.67 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98356, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 36.25/36.67 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 36.25/36.67 , clause( 98357, [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ] )
% 36.25/36.67 , clause( 98358, [ ~(
% 36.25/36.67 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 36.25/36.67 , clause( 98359, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 36.25/36.67 , Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' )
% 36.25/36.67 , ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98360, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 36.25/36.67 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 36.25/36.67 , X ) ) ] )
% 36.25/36.67 , clause( 98361, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 36.25/36.67 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 36.25/36.67 , X ) ) ] )
% 36.25/36.67 , clause( 98362, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98363, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 36.25/36.67 , clause( 98364, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 36.25/36.67 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98365, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 36.25/36.67 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98366, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 36.25/36.67 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 36.25/36.67 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 36.25/36.67 , clause( 98367, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 36.25/36.67 , clause( 98368, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 36.25/36.67 , clause( 98369, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98370, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 36.25/36.67 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 36.25/36.67 , clause( 98371, [ =( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98372, [ =( 'c_HOL_Otimes__class_Otimes'( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98373, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98374, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98375, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 36.25/36.67 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 36.25/36.67 , clause( 98376, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X,
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y, T,
% 36.25/36.67 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98377, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 36.25/36.67 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98378, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 36.25/36.67 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98379, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 36.25/36.67 , Y, 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98380, [ 'c_HOL_Oord__class_Oless'( X,
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 36.25/36.67 Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98381, [ ~(
% 36.25/36.67 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 Y, T, X ) ) ] )
% 36.25/36.67 , clause( 98382, [ ~(
% 36.25/36.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 Y, T, X ) ) ] )
% 36.25/36.67 , clause( 98383, [ ~(
% 36.25/36.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 36.25/36.67 X ), X ) ) ] )
% 36.25/36.67 , clause( 98384, [ ~(
% 36.25/36.67 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 Z, T, X ) ) ] )
% 36.25/36.67 , clause( 98385, [ ~(
% 36.25/36.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 Z, T, X ) ) ] )
% 36.25/36.67 , clause( 98386, [ ~(
% 36.25/36.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 36.25/36.67 X ), X ) ) ] )
% 36.25/36.67 , clause( 98387, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 36.25/36.67 , Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 36.25/36.67 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98388, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98389, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 36.25/36.67 , Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' )
% 36.25/36.67 , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98390, [ =( 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98391, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 36.25/36.67 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 36.25/36.67 , clause( 98392, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98393, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98394, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98395, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 36.25/36.67 , Y, X ), X ) ) ] )
% 36.25/36.67 , clause( 98396, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 36.25/36.67 , T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98397, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 36.25/36.67 , T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98398, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 36.25/36.67 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 36.25/36.67 , Y, X ), X ) ) ] )
% 36.25/36.67 , clause( 98399, [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 36.25/36.67 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) )
% 36.25/36.67 , =( Y, Z ) ] )
% 36.25/36.67 , clause( 98400, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 36.25/36.67 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 36.25/36.67 , clause( 98401, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 X, Y, 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98402, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 36.25/36.67 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 36.25/36.67 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 36.25/36.67 , clause( 98403, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 36.25/36.67 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 36.25/36.67 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 36.25/36.67 , clause( 98404, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 36.25/36.67 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ), Y ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98405, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98406, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98407, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 36.25/36.67 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 36.25/36.67 T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98408, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 36.25/36.67 T, X ), Z, X ) ) ] )
% 36.25/36.67 , clause( 98409, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 36.25/36.67 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 Z, T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98410, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 36.25/36.67 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 36.25/36.67 , X ), T, X ) ) ] )
% 36.25/36.67 , clause( 98411, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 36.25/36.67 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 36.25/36.67 , T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98412, [ =( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 36.25/36.67 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98413, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 36.25/36.67 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 36.25/36.67 , X ), T, X ) ) ] )
% 36.25/36.67 , clause( 98414, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 36.25/36.67 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 36.25/36.67 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98415, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 36.25/36.67 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98416, [ =( 'c_HOL_Otimes__class_Otimes'(
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 36.25/36.67 ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98417, [ =( 'c_HOL_Otimes__class_Otimes'( X,
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat'
% 36.25/36.67 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98418, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 36.25/36.67 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 36.25/36.67 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 36.25/36.67 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 36.25/36.67 , clause( 98419, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 36.25/36.67 Y, X ) ) ] )
% 36.25/36.67 , clause( 98420, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 36.25/36.67 Y, X ) ) ] )
% 36.25/36.67 , clause( 98421, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 36.25/36.67 Y, X ) ) ] )
% 36.25/36.67 , clause( 98422, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 36.25/36.67 Y, X ) ) ] )
% 36.25/36.67 , clause( 98423, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 36.25/36.67 X, 'c_Suc'( Y ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98424, [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98425, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 36.25/36.67 ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98426, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98427, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 36.25/36.67 , clause( 98428, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 36.25/36.67 , clause( 98429, [ 'c_HOL_Oord__class_Oless'( X,
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 36.25/36.67 ) ), Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98430, [ 'c_HOL_Oord__class_Oless'( X,
% 36.25/36.67 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 36.25/36.67 ) ), Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98431, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98432, [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, Y ), X ) ] )
% 36.25/36.67 , clause( 98433, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98434, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 36.25/36.67 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 36.25/36.67 , clause( 98435, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 36.25/36.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98436, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 36.25/36.67 ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98437, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98438, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98439, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 36.25/36.67 ) ) ) ] )
% 36.25/36.67 , clause( 98440, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 36.25/36.67 ) ) ) ] )
% 36.25/36.67 , clause( 98441, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98442, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 36.25/36.67 , clause( 98443, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 36.25/36.67 ), =( Z, Y ) ] )
% 36.25/36.67 , clause( 98444, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 36.25/36.67 , clause( 98445, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 36.25/36.67 , clause( 98446, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98447, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 36.25/36.67 ), =( Z, Y ) ] )
% 36.25/36.67 , clause( 98448, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 36.25/36.67 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98449, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 36.25/36.67 , clause( 98450, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 36.25/36.67 , clause( 98451, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 36.25/36.67 , clause( 98452, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98453, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98454, [ =( X, 'c_Suc'(
% 36.25/36.67 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ) ) ), =(
% 36.25/36.67 X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98455, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y )
% 36.25/36.67 , 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98456, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X )
% 36.25/36.67 , 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98457, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 36.25/36.67 ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98458, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98459, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 36.25/36.67 , clause( 98460, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 36.25/36.67 , clause( 98461, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X
% 36.25/36.67 ) ) ) ] )
% 36.25/36.67 , clause( 98462, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X
% 36.25/36.67 ) ) ) ] )
% 36.25/36.67 , clause( 98463, [ =( X, 'c_Suc'(
% 36.25/36.67 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1'( X ) ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98464, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98465, [ =( X, 'c_Suc'(
% 36.25/36.67 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1'( X ) ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 36.25/36.67 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98466, [ 'c_HOL_Oord__class_Oless'(
% 36.25/36.67 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ), Y,
% 36.25/36.67 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98467, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 36.25/36.67 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 36.25/36.67 , clause( 98468, [ ~( 'class_Orderings_Oorder'( X ) ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 36.25/36.67 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 36.25/36.67 , clause( 98469, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98470, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98471, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X
% 36.25/36.67 , Y, 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 36.25/36.67 ) ), Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98472, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98473, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98474, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 36.25/36.67 =( 'c_Suc'( X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98475, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98476, [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98477, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 36.25/36.67 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98478, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98479, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 36.25/36.67 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98480, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 36.25/36.67 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98481, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ),
% 36.25/36.67 'c_Lambda_OdB_OAbs'( Y ) ), ~( 'c_Lambda_Obeta'( X, Y ) ) ] )
% 36.25/36.67 , clause( 98482, [ =( X, 'c_Lambda_OdB_OAbs'(
% 36.25/36.67 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( Y, X ) ) ), ~(
% 36.25/36.67 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ] )
% 36.25/36.67 , clause( 98483, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 36.25/36.67 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'(
% 36.25/36.67 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98484, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 36.25/36.67 , clause( 98485, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 36.25/36.67 , clause( 98486, [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ),
% 36.25/36.67 'c_Lambda_Olift'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 36.25/36.67 , clause( 98487, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 36.25/36.67 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98488, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 36.25/36.67 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98489, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 36.25/36.67 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 36.25/36.67 , clause( 98490, [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 36.25/36.67 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98491, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 36.25/36.67 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 36.25/36.67 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98492, [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ),
% 36.25/36.67 'c_Lambda_Olift'( 'c_Lambda_Oliftn'( X, Y, Z ), Z ) ) ] )
% 36.25/36.67 , clause( 98493, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98494, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z )
% 36.25/36.67 , 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X
% 36.25/36.67 , 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98495, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 36.25/36.67 ) ), =( X, Y ) ] )
% 36.25/36.67 , clause( 98496, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'(
% 36.25/36.67 'c_Lambda_OdB_OAbs'( X ), Y ), 'c_Lambda_Osubst'( X, Y,
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98497, [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98498, [ 'c_Lambda_Obeta'( X,
% 36.25/36.67 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y ) ), ~(
% 36.25/36.67 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ] )
% 36.25/36.67 , clause( 98499, [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ) ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98500, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 36.25/36.67 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98501, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 36.25/36.67 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 36.25/36.67 , clause( 98502, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 36.25/36.67 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 36.25/36.67 , clause( 98503, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y )
% 36.25/36.67 ) ), =( X, Y ) ] )
% 36.25/36.67 , clause( 98504, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y )
% 36.25/36.67 ) ) ] )
% 36.25/36.67 , clause( 98505, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T
% 36.25/36.67 ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'(
% 36.25/36.67 Y, Z, T ) ) ) ] )
% 36.25/36.67 , clause( 98506, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'(
% 36.25/36.67 Z ) ) ) ] )
% 36.25/36.67 , clause( 98507, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y,
% 36.25/36.67 Z ) ) ) ] )
% 36.25/36.67 , clause( 98508, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 36.25/36.67 Y ) ] )
% 36.25/36.67 , clause( 98509, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X,
% 36.25/36.67 'c_Lambda_OdB_OVar'( Y ), Z ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 36.25/36.67 , clause( 98510, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'(
% 36.25/36.67 Z, T ) ) ), =( X, Z ) ] )
% 36.25/36.67 , clause( 98511, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'(
% 36.25/36.67 Z, T ) ) ), =( Y, T ) ] )
% 36.25/36.67 , clause( 98512, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y,
% 36.25/36.67 Z ) ) ) ] )
% 36.25/36.67 , clause( 98513, [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 36.25/36.67 'c_InductTermi_OIT'( X ) ) ] )
% 36.25/36.67 , clause( 98514, [ =( 'v_n____', 'v_i____' ) ] )
% 36.25/36.67 , clause( 98515, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ] )
% 36.25/36.67 , clause( 98516, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 36.25/36.67 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 36.25/36.67 ) ] )
% 36.25/36.67 , clause( 98517, [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ),
% 36.25/36.67 'c_Lambda_Osubst'( T, Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ] )
% 36.25/36.67 , clause( 98518, [ 'c_InductTermi_OIT'( 'v_ua______' ) ] )
% 36.25/36.67 , clause( 98519, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 36.25/36.67 'c_InductTermi_OIT'( X ) ) ] )
% 36.25/36.67 , clause( 98520, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 36.25/36.67 'c_Lambda_OdB_OApp'( X, Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ] )
% 36.25/36.67 , clause( 98521, [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ),
% 36.25/36.67 'c_Lambda_OdB_OApp'( Z, Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ] )
% 36.25/36.67 , clause( 98522, [ 'c_InductTermi_OIT'( 'v_u____' ) ] )
% 36.25/36.67 , clause( 98523, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OApp'( Y, Z ), T
% 36.25/36.67 ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Oliftn'( X, Y, T ), 'c_Lambda_Oliftn'(
% 36.25/36.67 X, Z, T ) ) ) ] )
% 36.25/36.67 , clause( 98524, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ),
% 36.25/36.67 X ) ] )
% 36.25/36.67 , clause( 98525, [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____',
% 36.25/36.67 'v_as____', 'tc_Lambda_OdB' ) ) ] )
% 36.25/36.67 , clause( 98526, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( X,
% 36.25/36.67 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ] )
% 36.25/36.67 , clause( 98527, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T
% 36.25/36.67 ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ),
% 36.25/36.67 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ] )
% 36.25/36.67 , clause( 98528, [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'(
% 36.25/36.67 Z ) ) ) ] )
% 36.25/36.67 , clause( 98529, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'(
% 36.25/36.67 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( 'v_u____',
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_OdB_OVar'(
% 36.25/36.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Lambda_Osubst'( 'v_a____'
% 36.25/36.67 , 'v_u____', 'v_i____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 98530, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____',
% 36.25/36.67 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_i____' ) ) ) ) ] )
% 36.25/36.67 , clause( 98531, [
% 36.25/36.67 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98532, [
% 36.25/36.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98533, [
% 36.25/36.67 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98534, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 36.25/36.67 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98535, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 36.25/36.67 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98536, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 36.25/36.67 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98537, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98538, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98539, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98540, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 36.25/36.67 ] )
% 36.25/36.67 , clause( 98541, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98542, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98543, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 36.25/36.67 )
% 36.25/36.67 , clause( 98544, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98545, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98546, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98547, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98548, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98549, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98550, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98551, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 36.25/36.67 , clause( 98552, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 36.25/36.67 ] ).
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 subsumption(
% 36.25/36.67 clause( 220, [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 36.25/36.67 , X, Y ), X ) ] )
% 36.25/36.67 , clause( 98432, [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.67 'tc_nat' ), X, Y ), X ) ] )
% 36.25/36.67 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 36.25/36.67 )] ) ).
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 subsumption(
% 36.25/36.67 clause( 234, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 36.25/36.67 , clause( 98452, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 36.25/36.67 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.67
% 36.25/36.67
% 36.25/36.67 resolution(
% 36.25/36.67 clause( 99757, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 36.25/36.67 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.67 , clause( 234, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 36.25/36.67 , 0, clause( 98483, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 36.25/36.69 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'(
% 36.25/36.69 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 36.25/36.69 , Y )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 254, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 36.25/36.69 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , clause( 99757, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X )
% 36.25/36.69 , 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 36.25/36.69 )
% 36.25/36.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 36.25/36.69 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 100179, [ =( 'c_Lambda_Osubst'( X, 'c_Lambda_Oliftn'( Z, Y,
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 'c_Lambda_Osubstn'( X, Y,
% 36.25/36.69 Z ) ) ] )
% 36.25/36.69 , clause( 98490, [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 36.25/36.69 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 36.25/36.69 ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 260, [ =( 'c_Lambda_Osubst'( X, 'c_Lambda_Oliftn'( Z, Y,
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 'c_Lambda_Osubstn'( X, Y,
% 36.25/36.69 Z ) ) ] )
% 36.25/36.69 , clause( 100179, [ =( 'c_Lambda_Osubst'( X, 'c_Lambda_Oliftn'( Z, Y,
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 'c_Lambda_Osubstn'( X, Y,
% 36.25/36.69 Z ) ) ] )
% 36.25/36.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 36.25/36.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 100610, [ =( 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ) ) ] )
% 36.25/36.69 , clause( 98499, [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ) ) ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 269, [ =( 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ) ) ] )
% 36.25/36.69 , clause( 100610, [ =( 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ) ) ] )
% 36.25/36.69 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 36.25/36.69 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 101054, [ =( 'v_i____', 'v_n____' ) ] )
% 36.25/36.69 , clause( 98514, [ =( 'v_n____', 'v_i____' ) ] )
% 36.25/36.69 , 0, substitution( 0, [] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 281, [ =( 'v_i____', 'v_n____' ) ] )
% 36.25/36.69 , clause( 101054, [ =( 'v_i____', 'v_n____' ) ] )
% 36.25/36.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 291, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X )
% 36.25/36.69 ] )
% 36.25/36.69 , clause( 98524, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ),
% 36.25/36.69 X ) ] )
% 36.25/36.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 36.25/36.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 101950, [ =( 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ),
% 36.25/36.69 'c_Lambda_Osubstn'( Y, Z, T ) ), 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 X, Y ), Z, T ) ) ] )
% 36.25/36.69 , clause( 98527, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T
% 36.25/36.69 ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ),
% 36.25/36.69 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 36.25/36.69 ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 294, [ =( 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ),
% 36.25/36.69 'c_Lambda_Osubstn'( Y, Z, T ) ), 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 X, Y ), Z, T ) ) ] )
% 36.25/36.69 , clause( 101950, [ =( 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ),
% 36.25/36.69 'c_Lambda_Osubstn'( Y, Z, T ) ), 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 X, Y ), Z, T ) ) ] )
% 36.25/36.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 36.25/36.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 paramod(
% 36.25/36.69 clause( 103146, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubstn'(
% 36.25/36.69 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( 'v_u____',
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Lambda_Osubst'( 'v_a____'
% 36.25/36.69 , 'v_u____', 'v_i____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , clause( 269, [ =( 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ) ) ] )
% 36.25/36.69 , 0, clause( 98529, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'(
% 36.25/36.69 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( 'v_u____',
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Lambda_Osubst'( 'v_a____'
% 36.25/36.69 , 'v_u____', 'v_i____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , 0, 1, substitution( 0, [ :=( X, 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'(
% 36.25/36.69 'v_u____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), :=( Y, 'c_Lambda_Osubst'(
% 36.25/36.69 'v_a____', 'v_u____', 'v_i____' ) )] ), substitution( 1, [] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 paramod(
% 36.25/36.69 clause( 103147, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubstn'(
% 36.25/36.69 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( 'v_u____',
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Lambda_Osubst'( 'v_a____'
% 36.25/36.69 , 'v_u____', 'v_n____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , clause( 281, [ =( 'v_i____', 'v_n____' ) ] )
% 36.25/36.69 , 0, clause( 103146, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubstn'(
% 36.25/36.69 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( 'v_u____',
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Lambda_Osubst'( 'v_a____'
% 36.25/36.69 , 'v_u____', 'v_i____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , 0, 13, substitution( 0, [] ), substitution( 1, [] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 295, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 'c_Lambda_Olift'( 'v_u____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 36.25/36.69 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 36.25/36.69 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ),
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , clause( 103147, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubstn'(
% 36.25/36.69 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( 'v_u____',
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Lambda_Osubst'( 'v_a____'
% 36.25/36.69 , 'v_u____', 'v_n____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 paramod(
% 36.25/36.69 clause( 103977, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____',
% 36.25/36.69 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ) ) ) ) ] )
% 36.25/36.69 , clause( 281, [ =( 'v_i____', 'v_n____' ) ] )
% 36.25/36.69 , 0, clause( 98530, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 'v_u____', 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_i____' ) ) ) ) ]
% 36.25/36.69 )
% 36.25/36.69 , 0, 7, substitution( 0, [] ), substitution( 1, [] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 296, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____',
% 36.25/36.69 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ) ) ) ) ] )
% 36.25/36.69 , clause( 103977, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____'
% 36.25/36.69 , 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ) ) ) ) ] )
% 36.25/36.69 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 103978, [ =( 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ) ) ] )
% 36.25/36.69 , clause( 254, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 36.25/36.69 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 103979, [ =( X, 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ), X, Y ) ) ] )
% 36.25/36.69 , clause( 220, [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 36.25/36.69 ), X, Y ), X ) ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 paramod(
% 36.25/36.69 clause( 103980, [ =( X, 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ) ) ] )
% 36.25/36.69 , clause( 103978, [ =( 'c_Lambda_Oliftn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ) ) ] )
% 36.25/36.69 , 0, clause( 103979, [ =( X, 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ), X, Y ) ) ] )
% 36.25/36.69 , 0, 2, substitution( 0, [ :=( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 36.25/36.69 , :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 103981, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), X ) ] )
% 36.25/36.69 , clause( 103980, [ =( X, 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ) ) ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 80982, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), X ) ] )
% 36.25/36.69 , clause( 103981, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), X ) ] )
% 36.25/36.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 103982, [ =( 'c_Lambda_Osubstn'( X, Z, Y ), 'c_Lambda_Osubst'( X,
% 36.25/36.69 'c_Lambda_Oliftn'( Y, Z, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ) )
% 36.25/36.69 ] )
% 36.25/36.69 , clause( 260, [ =( 'c_Lambda_Osubst'( X, 'c_Lambda_Oliftn'( Z, Y,
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 'c_Lambda_Osubstn'( X, Y,
% 36.25/36.69 Z ) ) ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 paramod(
% 36.25/36.69 clause( 103984, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_Olift'( X, Y ), Z, Y ),
% 36.25/36.69 X ) ] )
% 36.25/36.69 , clause( 291, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X
% 36.25/36.69 ) ] )
% 36.25/36.69 , 0, clause( 103982, [ =( 'c_Lambda_Osubstn'( X, Z, Y ), 'c_Lambda_Osubst'(
% 36.25/36.69 X, 'c_Lambda_Oliftn'( Y, Z, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y )
% 36.25/36.69 ) ] )
% 36.25/36.69 , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'c_Lambda_Oliftn'(
% 36.25/36.69 Y, Z, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )] ), substitution( 1, [
% 36.25/36.69 :=( X, 'c_Lambda_Olift'( X, Y ) ), :=( Y, Y ), :=( Z, Z )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 82383, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X
% 36.25/36.69 ) ] )
% 36.25/36.69 , clause( 103984, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_Olift'( X, Y ), Z, Y )
% 36.25/36.69 , X ) ] )
% 36.25/36.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 36.25/36.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 eqswap(
% 36.25/36.69 clause( 103987, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, T ), Y, Z
% 36.25/36.69 ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Y, Z ),
% 36.25/36.69 'c_Lambda_Osubstn'( T, Y, Z ) ) ) ] )
% 36.25/36.69 , clause( 294, [ =( 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ),
% 36.25/36.69 'c_Lambda_Osubstn'( Y, Z, T ) ), 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 X, Y ), Z, T ) ) ] )
% 36.25/36.69 , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 36.25/36.69 ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 paramod(
% 36.25/36.69 clause( 103988, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 'c_Lambda_Olift'( X, Y ), Z ), T, Y ), 'c_Lambda_OdB_OApp'( X,
% 36.25/36.69 'c_Lambda_Osubstn'( Z, T, Y ) ) ) ] )
% 36.25/36.69 , clause( 82383, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_Olift'( X, Y ), Z, Y )
% 36.25/36.69 , X ) ] )
% 36.25/36.69 , 0, clause( 103987, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, T ),
% 36.25/36.69 Y, Z ), 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Y, Z ),
% 36.25/36.69 'c_Lambda_Osubstn'( T, Y, Z ) ) ) ] )
% 36.25/36.69 , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T )] ),
% 36.25/36.69 substitution( 1, [ :=( X, 'c_Lambda_Olift'( X, Y ) ), :=( Y, T ), :=( Z,
% 36.25/36.69 Y ), :=( T, Z )] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 97756, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 'c_Lambda_Olift'( X, Y ), T ), Z, Y ), 'c_Lambda_OdB_OApp'( X,
% 36.25/36.69 'c_Lambda_Osubstn'( T, Z, Y ) ) ) ] )
% 36.25/36.69 , clause( 103988, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 'c_Lambda_Olift'( X, Y ), Z ), T, Y ), 'c_Lambda_OdB_OApp'( X,
% 36.25/36.69 'c_Lambda_Osubstn'( Z, T, Y ) ) ) ] )
% 36.25/36.69 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] ),
% 36.25/36.69 permutation( 0, [ ==>( 0, 0 )] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 paramod(
% 36.25/36.69 clause( 103994, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____',
% 36.25/36.69 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ),
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ] )
% 36.25/36.69 , clause( 97756, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'(
% 36.25/36.69 'c_Lambda_Olift'( X, Y ), T ), Z, Y ), 'c_Lambda_OdB_OApp'( X,
% 36.25/36.69 'c_Lambda_Osubstn'( T, Z, Y ) ) ) ] )
% 36.25/36.69 , 0, clause( 295, [ 'c_InductTermi_OIT'( 'c_Lambda_Osubstn'(
% 36.25/36.69 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( 'v_u____',
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Lambda_Osubst'( 'v_a____'
% 36.25/36.69 , 'v_u____', 'v_n____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 36.25/36.69 , 0, 1, substitution( 0, [ :=( X, 'v_u____' ), :=( Y,
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), :=( Z, 'c_Lambda_Osubst'(
% 36.25/36.69 'v_a____', 'v_u____', 'v_n____' ) ), :=( T, 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )] ), substitution( 1, [] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 paramod(
% 36.25/36.69 clause( 103995, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____',
% 36.25/36.69 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ) ) ) ] )
% 36.25/36.69 , clause( 80982, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'(
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), X ) ] )
% 36.25/36.69 , 0, clause( 103994, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____'
% 36.25/36.69 , 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 36.25/36.69 'tc_nat' ) ), 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ),
% 36.25/36.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ] )
% 36.25/36.69 , 0, 3, substitution( 0, [ :=( X, 'c_Lambda_Osubst'( 'v_a____', 'v_u____',
% 36.25/36.69 'v_n____' ) )] ), substitution( 1, [] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 resolution(
% 36.25/36.69 clause( 103996, [] )
% 36.25/36.69 , clause( 296, [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____',
% 36.25/36.69 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ) ) ) ) ] )
% 36.25/36.69 , 0, clause( 103995, [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_u____'
% 36.25/36.69 , 'c_Lambda_Osubst'( 'v_a____', 'v_u____', 'v_n____' ) ) ) ] )
% 36.25/36.69 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 subsumption(
% 36.25/36.69 clause( 98161, [] )
% 36.25/36.69 , clause( 103996, [] )
% 36.25/36.69 , substitution( 0, [] ), permutation( 0, [] ) ).
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 end.
% 36.25/36.69
% 36.25/36.69 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 36.25/36.69
% 36.25/36.69 Memory use:
% 36.25/36.69
% 36.25/36.69 space for terms: 2302853
% 36.25/36.69 space for clauses: 4477693
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 clauses generated: 678088
% 36.25/36.69 clauses kept: 98162
% 36.25/36.69 clauses selected: 1192
% 36.25/36.69 clauses deleted: 2331
% 36.25/36.69 clauses inuse deleted: 35
% 36.25/36.69
% 36.25/36.69 subsentry: 5524791
% 36.25/36.69 literals s-matched: 3094037
% 36.25/36.69 literals matched: 2814464
% 36.25/36.69 full subsumption: 1956874
% 36.25/36.69
% 36.25/36.69 checksum: 1153115416
% 36.25/36.69
% 36.25/36.69
% 36.25/36.69 Bliksem ended
%------------------------------------------------------------------------------