TSTP Solution File: LCL765-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL765-1 : 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 07:57:41 EDT 2022
% Result : Timeout 300.04s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL765-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 14:28:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/1.17 *** allocated 10000 integers for termspace/termends
% 0.77/1.17 *** allocated 10000 integers for clauses
% 0.77/1.17 *** allocated 10000 integers for justifications
% 0.77/1.17 Bliksem 1.12
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Automatic Strategy Selection
% 0.77/1.17
% 0.77/1.17 Clauses:
% 0.77/1.17 [
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.77/1.17 , Y, X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.77/1.17 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.77/1.17 , Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.77/1.17 ), Y ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.77/1.17 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.77/1.17 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.77/1.17 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.77/1.17 , X ), W, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.77/1.17 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.77/1.17 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.77/1.17 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.77/1.17 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.77/1.17 ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.77/1.17 ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.77/1.17 Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.77/1.17 ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.77/1.17 X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.77/1.17 X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 X, T, 'tc_nat' ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.77/1.17 X ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.77/1.17 ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.77/1.17 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.77/1.17 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.77/1.17 , X ), W, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.77/1.17 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.77/1.17 W, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.77/1.17 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.77/1.17 , X ), T, X ), W, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.77/1.17 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.77/1.17 W, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.77/1.17 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.77/1.17 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.77/1.17 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.77/1.17 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.77/1.17 , T, X ) ) ), =( Y, Z ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.77/1.17 , T, X ) ) ), =( Z, T ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ) ), =( Y, Z ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.77/1.17 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.77/1.17 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 0.77/1.17 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.77/1.17 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.77/1.17 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.77/1.17 ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 ) ), =( Y, Z ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 ) ), =( Y, Z ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.77/1.17 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.77/1.17 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.77/1.17 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.77/1.17 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.77/1.17 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.77/1.17 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.77/1.17 X ) ) ), =( Z, T ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.77/1.17 X ) ) ), =( Z, T ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.77/1.17 X ) ) ), =( Y, T ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.77/1.17 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.77/1.17 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.77/1.17 X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.77/1.17 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.77/1.17 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.77/1.17 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.77/1.17 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.77/1.17 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.77/1.17 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.77/1.17 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.77/1.17 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 X ), T, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.77/1.17 ],
% 0.77/1.17 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.77/1.17 , X, 'tc_nat' ), X ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ), 'tc_nat' ), X ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.77/1.17 ), X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.77/1.17 ), Y ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.77/1.17 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.77/1.17 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.77/1.17 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.77/1.17 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.77/1.17 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.77/1.17 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.77/1.17 , T ), =( X, Z ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.77/1.17 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.77/1.17 , T ), =( X, Z ) ],
% 0.77/1.17 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.77/1.17 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.77/1.17 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.77/1.17 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.77/1.17 ) ],
% 0.77/1.17 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 , X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.77/1.17 , X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.77/1.17 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.77/1.17 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.77/1.17 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.77/1.17 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.77/1.17 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 0.77/1.17 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.77/1.17 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 Y, T, X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.77/1.17 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 Y, T, X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.77/1.17 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.77/1.17 X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 Z, T, X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.77/1.17 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 Z, T, X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.77/1.17 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.77/1.17 X ), X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.77/1.17 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.77/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.77/1.17 , Y, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.77/1.17 , T, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.77/1.17 , T, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.77/1.17 , Y, X ), X ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.77/1.17 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.77/1.17 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.77/1.17 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.77/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.77/1.17 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.77/1.17 ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.77/1.17 T, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.77/1.17 X ), Z, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.77/1.17 T, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.77/1.17 X ), T, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.77/1.17 T, X ), X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.77/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.77/1.17 X ), T, X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.77/1.17 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.77/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.77/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.77/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.77/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.77/1.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.77/1.17 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ) ), X, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.77/1.17 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ) ), X, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.77/1.17 X ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.77/1.17 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.77/1.17 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.77/1.17 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.77/1.17 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.77/1.17 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.77/1.17 ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.77/1.17 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.77/1.17 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.77/1.17 ) ],
% 0.77/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.77/1.17 ), =( Z, Y ) ],
% 0.77/1.17 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.77/1.17 'c_Lambda_OdB_OVar'( 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.77/1.17 , Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.77/1.17 , Y, X ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.77/1.17 , X ) ) ],
% 0.77/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( X, 'c_Suc'(
% 0.77/1.17 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ) ) ), =(
% 0.77/1.17 X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.77/1.17 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.77/1.17 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.77/1.17 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.77/1.17 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.77/1.17 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.77/1.17 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1'( X
% 0.77/1.17 ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.77/1.17 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.77/1.17 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1'( X ) )
% 0.77/1.17 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.77/1.17 , X, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ), Y,
% 0.77/1.17 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.77/1.17 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.77/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.77/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.77/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ), 'tc_nat' ) ) ],
% 0.77/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.77/1.17 ), 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.77/1.17 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.77/1.17 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_Suc'( X ), 'tc_nat' ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.77/1.17 'c_Suc'( X ), 'tc_nat' ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.77/1.17 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.77/1.17 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.77/1.17 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.77/1.17 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.77/1.17 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.77/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.77/1.17 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.77/1.17 [ =( X, 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'(
% 0.77/1.17 Y, X ) ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( Y ), X ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.77/1.17 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.77/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.77/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.77/1.17 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.77/1.17 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.77/1.17 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.77/1.17 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.77/1.17 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.77/1.17 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.77/1.17 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.77/1.17 ],
% 0.77/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.77/1.17 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.77/1.17 'tc_nat' ) ],
% 0.77/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.77/1.17 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), 'c_Lambda_Olift'(
% 0.77/1.17 'c_Lambda_Oliftn'( X, Y, Z ), Z ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.77/1.17 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.77/1.17 'tc_nat' ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.77/1.17 ) ],
% 0.77/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( 'c_Lambda_OdB_OAbs'( X ), Y ),
% 0.77/1.17 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ 'c_Lambda_Obeta'( X, 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1'( X, Y
% 0.77/1.17 ) ), ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), Y ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.77/1.17 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.77/1.17 ,
% 0.77/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.77/1.17 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.77/1.17 ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.77/1.17 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubst'( X, Z, T ), 'c_Lambda_Osubst'( Y,
% 0.77/1.17 Z, T ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OAbs'( Z ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.77/1.17 ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.77/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.77/1.17 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.77/1.17 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.77/1.17 =( X, Z ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z, T ) ) ),
% 0.77/1.17 =( Y, T ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OApp'( Y, Z ) ) ) ],
% 0.77/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.77/1.17 'c_InductTermi_OIT'( X ) ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.77/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OApp'( X, Y ), Z ),
% 0.77/1.17 'c_Lambda_OdB_OApp'( 'c_Lambda_Olift'( X, Z ), 'c_Lambda_Olift'( Y, Z ) )
% 0.77/1.17 ) ],
% 0.77/1.17 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.77/1.17 'c_InductTermi_OIT'( X ) ) ],
% 0.77/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( X
% 0.77/1.17 , Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ],
% 0.77/1.17 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OApp'( Z
% 0.77/1.17 , Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OApp'( Y, Z ), T ),
% 0.77/1.17 'c_Lambda_OdB_OApp'( 'c_Lambda_Oliftn'( X, Y, T ), 'c_Lambda_Oliftn'( X,
% 0.77/1.17 Z, T ) ) ) ],
% 0.77/1.17 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OApp'( X, Y ), Z, T ),
% 0.77/1.17 'c_Lambda_OdB_OApp'( 'c_Lambda_Osubstn'( X, Z, T ), 'c_Lambda_Osubstn'( Y
% 0.77/1.17 , Z, T ) ) ) ],
% 0.77/1.17 [ ~( =( 'c_Lambda_OdB_OApp'( X, Y ), 'c_Lambda_OdB_OVar'( Z ) ) ) ],
% 0.77/1.17 [ 'c_InductTermi_OIT'( 'v_t' ) ],
% 0.77/1.17 [ ~( 'c_InductTermi_OIT'( 'c_Lambda_OdB_OApp'( 'v_t',
% 0.77/1.17 'c_Lambda_OdB_OVar'( 'v_i' ) ) ) ) ],
% 0.77/1.17 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.77/1.17 ],
% 0.77/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.77/1.17 ) ],
% 0.77/1.17 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.77/1.17 ],
% 0.77/1.17 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.77/1.17 [ 'class_Orderings_Oorder'( 'tc_nat' ) ]
% 0.77/1.17 ] .
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 percentage equality = 0.355014, percentage horn = 0.869048
% 0.77/1.17 This is a problem with some equality
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Options Used:
% 0.77/1.17
% 0.77/1.17 useres = 1
% 0.77/1.17 useparamod = 1
% 0.77/1.17 useeqrefl = 1
% 0.77/1.17 useeqfact = 1
% 0.77/1.17 usefactor = 1
% 0.77/1.17 usesimpsplitting = 0
% 0.77/1.17 usesimpdemod = 5
% 0.77/1.17 usesimpres = 3
% 0.77/1.17
% 0.77/1.17 resimpinuse = 1000
% 0.77/1.17 resimpclauses = 20000
% 0.77/1.17 substype = eqrewr
% 0.77/1.17 backwardsubs = 1
% 0.77/1.17 selectoldest = 5
% 0.77/1.17
% 0.77/1.17 litorderings [0] = split
% 0.77/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.17
% 0.77/1.17 termordering = kbo
% 0.77/1.17
% 0.77/1.17 litapriori = 0
% 0.77/1.17 termapriori = 1
% 0.77/1.17 litaposteriori = 0
% 0.77/1.17 termaposteriori = 0
% 0.77/1.17 demodaposteriori = 0
% 0.77/1.17 ordereqreflfact = 0
% 0.77/1.17
% 0.77/1.17 litselect = negord
% 0.77/1.17
% 0.77/1.17 maxweight = 15
% 0.77/1.17 maxdepth = 30000
% 0.77/1.17 maxlength = 115
% 0.77/1.17 maxnrvars = 195
% 0.77/1.17 excuselevel = 1
% 0.77/1.17 increasemaxweight = 1
% 0.77/1.17
% 0.77/1.17 maxselected = 10000000
% 0.77/1.17 maxnrclauses = 10000000
% 0.77/1.17
% 0.77/1.17 showgenerated = 0
% 0.77/1.17 showkept = 0
% 0.77/1.17 showselected = 0
% 0.77/1.17 showdeleted = 0
% 0.77/1.17 showresimp = 1
% 0.77/1.17 showstatus = 2000
% 0.77/1.17
% 0.77/1.17 prologoutput = 1
% 0.77/1.17 nrgoals = 5000000
% 0.77/1.17 totalproof = 1
% 0.77/1.17
% 0.77/1.17 Symbols occurring in the translation:
% 0.77/1.17
% 0.77/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.17 . [1, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.77/1.17 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 0.77/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.17 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:52, a:1
% 0.77/1.17 , s:1, b:0),
% 0.77/1.17 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:124, a:1, s:1, b:0),
% 0.77/1.17 'tc_nat' [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 16.77/17.15 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:53, a:1, s:1, b:0),
% 16.77/17.15 'c_HOL_Oplus__class_Oplus' [46, 3] (w:1, o:126, a:1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Olordered__ab__group__add' [47, 1] (w:1, o:55, a:
% 16.77/17.15 1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Ogroup__add' [52, 1] (w:1, o:56, a:1, s:1, b:0),
% 16.77/17.15
% 16.77/17.15 'c_HOL_Ominus__class_Ominus' [53, 3] (w:1, o:127, a:1, s:1, b:0),
% 16.77/17.15 'class_Ring__and__Field_Oidom' [54, 1] (w:1, o:57, a:1, s:1, b:0),
% 16.77/17.15 'class_Int_Onumber__ring' [55, 1] (w:1, o:58, a:1, s:1, b:0),
% 16.77/17.15 'c_Suc' [59, 1] (w:1, o:59, a:1, s:1, b:0),
% 16.77/17.15 'class_Ring__and__Field_Oring' [60, 1] (w:1, o:60, a:1, s:1, b:0),
% 16.77/17.15 'c_HOL_Oord__class_Oless' [63, 3] (w:1, o:125, a:1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Ocomm__monoid__add' [66, 1] (w:1, o:61, a:1, s:1
% 16.77/17.15 , b:0),
% 16.77/17.15 'class_Nat_Osemiring__char__0' [68, 1] (w:1, o:54, a:1, s:1, b:0),
% 16.77/17.15 'c_Nat_Osemiring__1__class_Oof__nat' [69, 2] (w:1, o:118, a:1, s:1
% 16.77/17.15 , b:0),
% 16.77/17.15 'class_OrderedGroup_Oab__group__add' [70, 1] (w:1, o:62, a:1, s:1, b:
% 16.77/17.15 0),
% 16.77/17.15 'class_Ring__and__Field_Opordered__ring' [71, 1] (w:1, o:68, a:1, s:1
% 16.77/17.15 , b:0),
% 16.77/17.15 'class_Ring__and__Field_Oring__no__zero__divisors' [72, 1] (w:1, o:69
% 16.77/17.15 , a:1, s:1, b:0),
% 16.77/17.15 'class_Ring__and__Field_Ono__zero__divisors' [73, 1] (w:1, o:71, a:1
% 16.77/17.15 , s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Oab__semigroup__add' [74, 1] (w:1, o:72, a:1, s:1
% 16.77/17.15 , b:0),
% 16.77/17.15 'class_Ring__and__Field_Osemiring' [79, 1] (w:1, o:73, a:1, s:1, b:0)
% 16.77/17.15 ,
% 16.77/17.15 'class_Ring__and__Field_Osemiring__1' [80, 1] (w:1, o:74, a:1, s:1
% 16.77/17.15 , b:0),
% 16.77/17.15 'class_OrderedGroup_Opordered__comm__monoid__add' [81, 1] (w:1, o:75
% 16.77/17.15 , a:1, s:1, b:0),
% 16.77/17.15 'class_Ring__and__Field_Oordered__ring__strict' [82, 1] (w:1, o:63
% 16.77/17.15 , a:1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Ocancel__ab__semigroup__add' [83, 1] (w:1, o:76
% 16.77/17.15 , a:1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Ocancel__semigroup__add' [84, 1] (w:1, o:77, a:1
% 16.77/17.15 , s:1, b:0),
% 16.77/17.15 'class_Ring__and__Field_Oordered__semidom' [85, 1] (w:1, o:64, a:1
% 16.77/17.15 , s:1, b:0),
% 16.77/17.15 'class_Ring__and__Field_Oordered__semiring__strict' [86, 1] (w:1, o:
% 16.77/17.15 65, a:1, s:1, b:0),
% 16.77/17.15 'class_Ring__and__Field_Oordered__comm__semiring__strict' [87, 1] (w:
% 16.77/17.15 1, o:66, a:1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Omonoid__add' [88, 1] (w:1, o:78, a:1, s:1, b:0)
% 16.77/17.15 ,
% 16.77/17.15 'class_Ring__and__Field_Oordered__idom' [89, 1] (w:1, o:67, a:1, s:1
% 16.77/17.15 , b:0),
% 16.77/17.15 'class_Ring__and__Field_Omult__zero' [95, 1] (w:1, o:70, a:1, s:1, b:
% 16.77/17.15 0),
% 16.77/17.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [96, 1]
% 16.77/17.15 (w:1, o:79, a:1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Opordered__ab__group__add' [97, 1] (w:1, o:80, a:
% 16.77/17.15 1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Oab__semigroup__idem__mult' [98, 1] (w:1, o:81
% 16.77/17.15 , a:1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [100, 1]
% 16.77/17.15 (w:1, o:82, a:1, s:1, b:0),
% 16.77/17.15 'class_OrderedGroup_Oab__semigroup__mult' [101, 1] (w:1, o:83, a:1
% 16.77/17.15 , s:1, b:0),
% 16.77/17.15 'class_Ring__and__Field_Ocomm__semiring' [102, 1] (w:1, o:84, a:1, s:
% 16.77/17.15 1, b:0),
% 16.77/17.15 'class_Orderings_Opreorder' [103, 1] (w:1, o:86, a:1, s:1, b:0),
% 16.77/17.15 'class_Orderings_Olinorder' [104, 1] (w:1, o:87, a:1, s:1, b:0),
% 16.77/17.15 'class_Orderings_Oorder' [105, 1] (w:1, o:85, a:1, s:1, b:0),
% 16.77/17.15 'c_Lambda_Oliftn' [107, 3] (w:1, o:128, a:1, s:1, b:0),
% 16.77/17.15 'c_Lambda_OdB_OVar' [109, 1] (w:1, o:88, a:1, s:1, b:0),
% 16.77/17.15 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1' [110, 2] (w:
% 16.77/17.15 1, o:119, a:1, s:1, b:0),
% 16.77/17.15 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1' [112, 1] (w:1, o:
% 16.77/17.15 89, a:1, s:1, b:0),
% 16.77/17.15 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1' [113, 1] (w:1, o:90
% 16.77/17.15 , a:1, s:1, b:0),
% 16.77/17.15 'c_Lambda_OdB_OAbs' [115, 1] (w:1, o:91, a:1, s:1, b:0),
% 16.77/17.15 'c_Lambda_Obeta' [116, 2] (w:1, o:120, a:1, s:1, b:0),
% 16.77/17.15 'c_Lambda_Osko__Lambda__Xbeta__cases__2__1' [117, 2] (w:1, o:121, a:1
% 16.77/17.15 , s:1, b:0),
% 16.77/17.15 'c_Lambda_Osubstn' [118, 3] (w:1, o:129, a:1, s:1, b:0),
% 16.77/17.15 'c_Lambda_Olift' [119, 2] (w:1, o:122, a:1, s:1, b:0),
% 16.77/17.15 'c_Lambda_Osubst' [120, 3] (w:1, o:130, a:1, s:1, b:0),
% 79.03/79.46 'c_Lambda_OdB_OApp' [123, 2] (w:1, o:123, a:1, s:1, b:0),
% 79.03/79.46 'c_InductTermi_OIT' [126, 1] (w:1, o:92, a:1, s:1, b:0),
% 79.03/79.46 'v_t' [129, 0] (w:1, o:45, a:1, s:1, b:0),
% 79.03/79.46 'v_i' [130, 0] (w:1, o:46, a:1, s:1, b:0).
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Starting Search:
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 5639
% 79.03/79.46 Kept: 2006
% 79.03/79.46 Inuse: 143
% 79.03/79.46 Deleted: 6
% 79.03/79.46 Deletedinuse: 1
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 15170
% 79.03/79.46 Kept: 4026
% 79.03/79.46 Inuse: 184
% 79.03/79.46 Deleted: 6
% 79.03/79.46 Deletedinuse: 1
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 25950
% 79.03/79.46 Kept: 6036
% 79.03/79.46 Inuse: 214
% 79.03/79.46 Deleted: 6
% 79.03/79.46 Deletedinuse: 1
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 36862
% 79.03/79.46 Kept: 8049
% 79.03/79.46 Inuse: 265
% 79.03/79.46 Deleted: 9
% 79.03/79.46 Deletedinuse: 2
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 51241
% 79.03/79.46 Kept: 10480
% 79.03/79.46 Inuse: 288
% 79.03/79.46 Deleted: 10
% 79.03/79.46 Deletedinuse: 2
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 64938
% 79.03/79.46 Kept: 12914
% 79.03/79.46 Inuse: 345
% 79.03/79.46 Deleted: 14
% 79.03/79.46 Deletedinuse: 3
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 75034
% 79.03/79.46 Kept: 14927
% 79.03/79.46 Inuse: 379
% 79.03/79.46 Deleted: 22
% 79.03/79.46 Deletedinuse: 7
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 91546
% 79.03/79.46 Kept: 17102
% 79.03/79.46 Inuse: 396
% 79.03/79.46 Deleted: 23
% 79.03/79.46 Deletedinuse: 8
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 108025
% 79.03/79.46 Kept: 19546
% 79.03/79.46 Inuse: 421
% 79.03/79.46 Deleted: 23
% 79.03/79.46 Deletedinuse: 8
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying clauses:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 121746
% 79.03/79.46 Kept: 21659
% 79.03/79.46 Inuse: 466
% 79.03/79.46 Deleted: 504
% 79.03/79.46 Deletedinuse: 8
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 132515
% 79.03/79.46 Kept: 23726
% 79.03/79.46 Inuse: 505
% 79.03/79.46 Deleted: 510
% 79.03/79.46 Deletedinuse: 12
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 150655
% 79.03/79.46 Kept: 25730
% 79.03/79.46 Inuse: 568
% 79.03/79.46 Deleted: 511
% 79.03/79.46 Deletedinuse: 13
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 173971
% 79.03/79.46 Kept: 27979
% 79.03/79.46 Inuse: 594
% 79.03/79.46 Deleted: 511
% 79.03/79.46 Deletedinuse: 13
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 187985
% 79.03/79.46 Kept: 30235
% 79.03/79.46 Inuse: 603
% 79.03/79.46 Deleted: 511
% 79.03/79.46 Deletedinuse: 13
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 205492
% 79.03/79.46 Kept: 32287
% 79.03/79.46 Inuse: 643
% 79.03/79.46 Deleted: 512
% 79.03/79.46 Deletedinuse: 13
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 247487
% 79.03/79.46 Kept: 35183
% 79.03/79.46 Inuse: 653
% 79.03/79.46 Deleted: 512
% 79.03/79.46 Deletedinuse: 13
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 263853
% 79.03/79.46 Kept: 37199
% 79.03/79.46 Inuse: 701
% 79.03/79.46 Deleted: 514
% 79.03/79.46 Deletedinuse: 14
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 280131
% 79.03/79.46 Kept: 39199
% 79.03/79.46 Inuse: 729
% 79.03/79.46 Deleted: 514
% 79.03/79.46 Deletedinuse: 14
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying clauses:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 293724
% 79.03/79.46 Kept: 41216
% 79.03/79.46 Inuse: 761
% 79.03/79.46 Deleted: 1256
% 79.03/79.46 Deletedinuse: 14
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 334472
% 79.03/79.46 Kept: 43828
% 79.03/79.46 Inuse: 775
% 79.03/79.46 Deleted: 1256
% 79.03/79.46 Deletedinuse: 14
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 350800
% 79.03/79.46 Kept: 45894
% 79.03/79.46 Inuse: 790
% 79.03/79.46 Deleted: 1256
% 79.03/79.46 Deletedinuse: 14
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 365072
% 79.03/79.46 Kept: 47943
% 79.03/79.46 Inuse: 820
% 79.03/79.46 Deleted: 1256
% 79.03/79.46 Deletedinuse: 14
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46 Resimplifying inuse:
% 79.03/79.46 Done
% 79.03/79.46
% 79.03/79.46
% 79.03/79.46 Intermediate Status:
% 79.03/79.46 Generated: 385282
% 79.03/79.46 Kept: 50176
% 79.03/79.46 Inuse: 859
% 79.03/79.46 Deleted: 1257
% 272.82/273.35 Deletedinuse: 14
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 404446
% 272.82/273.35 Kept: 52261
% 272.82/273.35 Inuse: 879
% 272.82/273.35 Deleted: 1257
% 272.82/273.35 Deletedinuse: 14
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 422333
% 272.82/273.35 Kept: 54354
% 272.82/273.35 Inuse: 914
% 272.82/273.35 Deleted: 1259
% 272.82/273.35 Deletedinuse: 16
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 445307
% 272.82/273.35 Kept: 56373
% 272.82/273.35 Inuse: 959
% 272.82/273.35 Deleted: 1259
% 272.82/273.35 Deletedinuse: 16
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 460973
% 272.82/273.35 Kept: 58411
% 272.82/273.35 Inuse: 985
% 272.82/273.35 Deleted: 1268
% 272.82/273.35 Deletedinuse: 25
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 488567
% 272.82/273.35 Kept: 61012
% 272.82/273.35 Inuse: 1004
% 272.82/273.35 Deleted: 1270
% 272.82/273.35 Deletedinuse: 27
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying clauses:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 514588
% 272.82/273.35 Kept: 63382
% 272.82/273.35 Inuse: 1019
% 272.82/273.35 Deleted: 1934
% 272.82/273.35 Deletedinuse: 27
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 530412
% 272.82/273.35 Kept: 65624
% 272.82/273.35 Inuse: 1029
% 272.82/273.35 Deleted: 1934
% 272.82/273.35 Deletedinuse: 27
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 538439
% 272.82/273.35 Kept: 68473
% 272.82/273.35 Inuse: 1031
% 272.82/273.35 Deleted: 1935
% 272.82/273.35 Deletedinuse: 27
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 549400
% 272.82/273.35 Kept: 70473
% 272.82/273.35 Inuse: 1045
% 272.82/273.35 Deleted: 1938
% 272.82/273.35 Deletedinuse: 29
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 564004
% 272.82/273.35 Kept: 72622
% 272.82/273.35 Inuse: 1062
% 272.82/273.35 Deleted: 1939
% 272.82/273.35 Deletedinuse: 30
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 575515
% 272.82/273.35 Kept: 76046
% 272.82/273.35 Inuse: 1071
% 272.82/273.35 Deleted: 1940
% 272.82/273.35 Deletedinuse: 31
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 586239
% 272.82/273.35 Kept: 78093
% 272.82/273.35 Inuse: 1097
% 272.82/273.35 Deleted: 1941
% 272.82/273.35 Deletedinuse: 32
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 603092
% 272.82/273.35 Kept: 80179
% 272.82/273.35 Inuse: 1112
% 272.82/273.35 Deleted: 1941
% 272.82/273.35 Deletedinuse: 32
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying clauses:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 621400
% 272.82/273.35 Kept: 82195
% 272.82/273.35 Inuse: 1129
% 272.82/273.35 Deleted: 2557
% 272.82/273.35 Deletedinuse: 32
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 641171
% 272.82/273.35 Kept: 85586
% 272.82/273.35 Inuse: 1141
% 272.82/273.35 Deleted: 2558
% 272.82/273.35 Deletedinuse: 33
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 656390
% 272.82/273.35 Kept: 88258
% 272.82/273.35 Inuse: 1146
% 272.82/273.35 Deleted: 2559
% 272.82/273.35 Deletedinuse: 34
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 672934
% 272.82/273.35 Kept: 90280
% 272.82/273.35 Inuse: 1177
% 272.82/273.35 Deleted: 2560
% 272.82/273.35 Deletedinuse: 35
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 717683
% 272.82/273.35 Kept: 92280
% 272.82/273.35 Inuse: 1206
% 272.82/273.35 Deleted: 2564
% 272.82/273.35 Deletedinuse: 39
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 758576
% 272.82/273.35 Kept: 94322
% 272.82/273.35 Inuse: 1247
% 272.82/273.35 Deleted: 2569
% 272.82/273.35 Deletedinuse: 44
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 803639
% 272.82/273.35 Kept: 96325
% 272.82/273.35 Inuse: 1292
% 272.82/273.35 Deleted: 2576
% 272.82/273.35 Deletedinuse: 51
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 886417
% 272.82/273.35 Kept: 98439
% 272.82/273.35 Inuse: 1337
% 272.82/273.35 Deleted: 2584
% 272.82/273.35 Deletedinuse: 58
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 978938
% 272.82/273.35 Kept: 100465
% 272.82/273.35 Inuse: 1393
% 272.82/273.35 Deleted: 2588
% 272.82/273.35 Deletedinuse: 62
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying clauses:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 1036543
% 272.82/273.35 Kept: 102495
% 272.82/273.35 Inuse: 1458
% 272.82/273.35 Deleted: 3622
% 272.82/273.35 Deletedinuse: 63
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35
% 272.82/273.35 Intermediate Status:
% 272.82/273.35 Generated: 1110451
% 272.82/273.35 Kept: 105978
% 272.82/273.35 Inuse: 1506
% 272.82/273.35 Deleted: 3623
% 272.82/273.35 Deletedinuse: 64
% 272.82/273.35
% 272.82/273.35 Resimplifying inuse:
% 272.82/273.35 Done
% 272.82/273.35
% 272.82/273.35 ResimplifCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------