TSTP Solution File: LCL813-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:58:20 EDT 2022
% Result : Timeout 300.07s 300.61s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jul 3 18:27:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.93/1.33 *** allocated 10000 integers for termspace/termends
% 0.93/1.33 *** allocated 10000 integers for clauses
% 0.93/1.33 *** allocated 10000 integers for justifications
% 0.93/1.33 *** allocated 15000 integers for termspace/termends
% 0.93/1.33 *** allocated 22500 integers for termspace/termends
% 0.93/1.33 Bliksem 1.12
% 0.93/1.33
% 0.93/1.33
% 0.93/1.33 Automatic Strategy Selection
% 0.93/1.33
% 0.93/1.33 Clauses:
% 0.93/1.33 [
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , X, 'tc_nat' ), Y, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.93/1.33 , T, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.93/1.33 , Z, 'tc_nat' ), T, 'tc_nat' ) ), U ), 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), X ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 0.93/1.33 , T, 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U, 'tc_nat' ) ), ~( 'c_lessequals'(
% 0.93/1.33 T, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 0.93/1.33 , Y, 'tc_nat' ), Z, 'tc_nat' ) ), T ), U, 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), T ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z
% 0.93/1.33 , X ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ), U ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.93/1.33 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.33 Y ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.93/1.33 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.93/1.33 ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.93/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.93/1.33 'v_sko__Nat__Xnat__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.93/1.33 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.93/1.33 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.93/1.33 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.93/1.33 'tc_nat' ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.93/1.33 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.33 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 T, X ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.93/1.33 =( Y, T ) ],
% 0.93/1.33 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.93/1.33 =( X, T ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.93/1.33 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ),
% 0.93/1.33 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.93/1.33 ), =( X, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.33 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.33 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.93/1.33 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.93/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_Lambda_Obeta'( 'c_Lambda_Osubst'( X, Y, Z ), 'c_Lambda_Osubst'( T,
% 0.93/1.33 Y, Z ) ), ~( 'c_Lambda_Obeta'( X, T ) ) ],
% 0.93/1.33 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.93/1.33 hAPP( Z, T ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 Z, X ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.33 Z, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.33 Z, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, T, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, Z, X ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, T, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, Z, X ) ) ) ],
% 0.93/1.33 [ =( 'c_Orderings_Oord__class_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.93/1.33 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.93/1.33 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.93/1.33 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.93/1.33 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.93/1.33 'tc_nat' ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.33 Y, 'tc_nat' ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , X, 'tc_nat' ), Y, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.93/1.33 , T, 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.33 Y, 'tc_nat' ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Y, 'tc_nat' ) ), U ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 0.93/1.33 , T, 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U, 'tc_nat' ) ), ~( 'c_lessequals'(
% 0.93/1.33 T, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.93/1.33 ), Z ), Y ) ],
% 0.93/1.33 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.93/1.33 hBOOL( hAPP( X, Z ) ) ],
% 0.93/1.33 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.93/1.33 hBOOL( hAPP( X, Z ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.93/1.33 'tc_nat' ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.33 'tc_nat' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.93/1.33 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Z, T, 'tc_nat' ), X ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.93/1.33 'v_sko__Nat__Xnat__Xinducts__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.33 Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.93/1.33 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.93/1.33 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 0.93/1.33 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.93/1.33 Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.33 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.93/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.33 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.93/1.33 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.93/1.33 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.93/1.33 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.33 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.33 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.93/1.33 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.33 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.93/1.33 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.93/1.33 , Y ), Z ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 X ), Y ), Z ) ), T ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 X ), Y ), Z ) ), T ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.33 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), Z ), T ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.33 Y, T, X ), X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.93/1.33 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.93/1.33 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.33 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.93/1.33 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ) ) ), =( T, hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ) ), W ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ) ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), W ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.33 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ) ),
% 0.93/1.33 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.93/1.33 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.93/1.33 ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.93/1.33 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.93/1.33 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.93/1.33 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.93/1.33 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.93/1.33 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.93/1.33 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ) ), ~(
% 0.93/1.33 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.93/1.33 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.93/1.33 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.93/1.33 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.93/1.33 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.93/1.33 'v_sko__List__Xupt__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_Type_Otype_OAtom'( X ), 'c_Type_Otype_OAtom'( Y ) ) ), =( X,
% 0.93/1.33 Y ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Suc'(
% 0.93/1.33 'v_sko__List__Xreplicate__Xinduct__1'( X ) ) ) ) ), ~( hBOOL( hAPP( X,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, Z, X ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ), X ), ~( 'c_lessequals'( T
% 0.93/1.33 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.33 , X ) ), W ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.93/1.33 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.93/1.33 , X ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.93/1.33 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ) ), W ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, Z, X ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( U, Z, X ) ), W ), X ), ~( 'c_lessequals'(
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), W, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ) ), U ), W, X ), ~(
% 0.93/1.33 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), U ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.33 ), W ), X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.33 , X, 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 0.93/1.33 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 0.93/1.33 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.93/1.33 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 X, T, 'tc_nat' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.93/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.93/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.93/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.33 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.93/1.33 Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.33 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), Z ), T ), X ) ) ],
% 0.93/1.33 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.93/1.33 'c_List_Olist_ONil'( Y ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 0.93/1.33 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 Z, 'tc_nat' ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ) ), T ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.93/1.33 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( U, Z, X )
% 0.93/1.33 ), W ), X ), ~( 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ) ), W ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ),
% 0.93/1.33 U, X ) ), W ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.93/1.33 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ) ), W ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( U, Z, X )
% 0.93/1.33 ), W ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ) ), T ), W, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.33 , X ) ), U ), W, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.93/1.33 ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), W ), X ) ) ],
% 0.93/1.33 [ =( 'v_n____', 'v_i____' ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.93/1.33 Y, 'tc_nat' ) ), U ) ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ), =( hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, T,
% 0.93/1.33 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.93/1.33 Y, 'tc_nat' ) ), U ) ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ), =( Z,
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, X,
% 0.93/1.33 'tc_nat' ), Y, 'tc_nat' ) ), U ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.33 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.33 Z, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.93/1.33 'tc_nat' ), Z, 'tc_nat' ) ), T ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 Z, 'tc_nat' ) ), T ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.33 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.93/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.33 Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.93/1.33 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.93/1.33 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.33 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.93/1.33 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.93/1.33 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.33 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.33 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ), 'tc_nat' ),
% 0.93/1.33 ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.93/1.33 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.93/1.33 'c_Type_Osko__Type__Xtype__induct__1__1'( X ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.93/1.33 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.93/1.33 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.93/1.33 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.33 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.33 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.33 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.33 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.93/1.33 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.33 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.93/1.33 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.33 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.93/1.33 X ), X ), Y ) ],
% 0.93/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.33 'tc_nat' ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.33 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.93/1.33 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.93/1.33 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.93/1.33 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.93/1.33 Y ) ) ) ],
% 0.93/1.33 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.93/1.33 , 'c_List_Odrop'( X, Z, T ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.33 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.93/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.33 , Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.33 , T, X ), X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.33 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.33 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.33 [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y
% 0.93/1.33 ), 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ),
% 0.93/1.33 'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ) ) ), 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.93/1.33 , X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.93/1.33 , X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.93/1.33 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.93/1.33 Z, Y, X ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.33 Y, 'tc_nat' ) ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.93/1.33 ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), T ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.33 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ), U ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), U ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.93/1.33 'tc_nat' ) ],
% 0.93/1.33 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.93/1.33 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.93/1.33 , Y ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.33 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.93/1.33 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.93/1.33 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X )
% 0.93/1.33 ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 X ), X ) ) ],
% 0.93/1.33 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.93/1.33 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.93/1.33 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.93/1.33 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.93/1.33 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, 'c_Suc'( T ), 't_a'
% 0.93/1.33 ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) ) ],
% 0.93/1.33 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, 'c_Suc'( T ), 't_a'
% 0.93/1.33 ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.33 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.93/1.33 , T, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.93/1.33 , Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.93/1.33 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.33 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.93/1.33 , 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.93/1.33 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ],
% 0.93/1.33 [ 'c_InductTermi_OIT'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.93/1.33 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 'tc_Lambda_OdB'
% 0.93/1.33 , 'tc_Lambda_OdB' ) ), ~( 'c_InductTermi_OIT'( Y ) ), ~(
% 0.93/1.33 'c_InductTermi_OIT'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.93/1.33 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z,
% 0.93/1.33 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.93/1.33 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.93/1.33 [ 'c_InductTermi_OIT'( 'c_Lambda_Olift'( X, Y ) ), ~(
% 0.93/1.33 'c_InductTermi_OIT'( X ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.93/1.33 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.93/1.33 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.93/1.33 'tc_Lambda_OdB' ) ) ) ],
% 0.93/1.33 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_Suc'( Z ), T ), hAPP( Y, Z ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.93/1.33 , 'c_List_Olist_ONil'( X ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.93/1.33 , 'c_List_Olist_ONil'( X ) ) ],
% 0.93/1.33 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Z, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), Z, 'tc_nat' ) ), T ), U, 'tc_nat' ), ~( 'c_lessequals'( hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), T ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 Z, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.93/1.33 Y, 'tc_nat' ) ), U ), 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), Y, 'tc_nat' ) ), Z ), U,
% 0.93/1.33 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.93/1.33 'tc_nat' ), T, 'tc_nat' ) ), U ), 'tc_nat' ), ~( 'c_lessequals'( hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.33 T, 'tc_nat' ) ), U ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) )
% 0.93/1.33 ],
% 0.93/1.33 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.93/1.33 Y, 'tc_nat' ) ), U ), 'tc_nat' ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), Y, 'tc_nat' ) ), U ),
% 0.93/1.33 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.93/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.33 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.93/1.33 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.93/1.33 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.93/1.33 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 T, U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, U, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 T, Z, X ) ) ) ), =( Z, U ), =( Y, T ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 T, U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, U, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 T, Z, X ) ) ) ), =( Z, U ), =( Y, T ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.33 T, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ),
% 0.93/1.33 =( Y, T ), =( X, Z ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.33 T, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ),
% 0.93/1.33 =( Y, T ), =( X, Z ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.93/1.33 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.93/1.33 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.93/1.33 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.93/1.33 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( 'c_lessequals'( Z
% 0.93/1.33 , Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), Y ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.93/1.33 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.33 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.33 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.93/1.33 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.93/1.33 , Y ) ],
% 0.93/1.33 [ =( 'c_Type_Otype_Otype__rec'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.93/1.33 hAPP( X, Z ) ) ],
% 0.93/1.33 [ 'c_Lambda_Obeta'( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.93/1.33 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.93/1.33 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( 'c_Lambda_Obeta'( X, Z )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.93/1.33 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_nat' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.33 , Y, X ) ) ],
% 0.93/1.33 [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.93/1.33 ), Y ), X ), 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), X, 'tc_nat' ), Y ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.93/1.33 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.93/1.33 X ) ), Y ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.33 ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , X ), Y ), 'tc_nat' ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , Y ), X ), 'tc_nat' ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , X ), Y ), 'tc_nat' ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ),
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.93/1.33 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.33 ), =( Z, Y ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.93/1.33 , Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.93/1.33 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.93/1.33 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.33 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.93/1.33 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.93/1.33 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.33 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 T, X ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.33 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.93/1.33 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.93/1.33 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.93/1.33 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.93/1.33 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.93/1.33 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.93/1.33 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.93/1.33 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.93/1.33 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.93/1.33 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.93/1.33 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'tc_nat' ), X ), Z ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y
% 0.93/1.33 , 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.33 , X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.93/1.33 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.93/1.33 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.93/1.33 , Z, U, W ) ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.93/1.33 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.93/1.33 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.93/1.33 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.93/1.33 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.93/1.33 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.93/1.33 , X, 'tc_nat' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.93/1.33 'tc_nat' ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.33 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.93/1.33 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.93/1.33 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.93/1.33 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.93/1.33 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.93/1.33 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ), T ),
% 0.93/1.33 'c_Orderings_Oord__class_Omin'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.93/1.33 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), Z, 'tc_nat' ), 'tc_nat'
% 0.93/1.33 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.93/1.33 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.93/1.33 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.93/1.33 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.93/1.33 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.93/1.33 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.93/1.33 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.93/1.33 , V0, V1, V2 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.33 T, X, U, W, Y, V0 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.33 T, X, U, Y, W, V0 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.93/1.33 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.93/1.33 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.93/1.33 , V0, V1, V2 ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.33 X, T, U, Y, W, V0 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.93/1.34 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.93/1.34 , V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.93/1.34 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.93/1.34 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 0.93/1.34 , V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.93/1.34 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.93/1.34 W, V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.93/1.34 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 0.93/1.34 W, V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.93/1.34 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.93/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.93/1.34 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.93/1.34 W, V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.93/1.34 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.93/1.34 , V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.93/1.34 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 0.93/1.34 W, V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 0.93/1.34 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 0.93/1.34 , V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.93/1.34 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 0.93/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.93/1.34 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 0.93/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 0.93/1.34 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 0.93/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.34 T, X, U, W, Z, V0 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.34 T, X, U, W, Y, V0 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.34 T, X, U, Z, W, V0 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.34 T, X, U, Y, W, V0 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.93/1.34 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.93/1.34 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.93/1.34 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.34 X, T, U, Z, W, V0 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 0.93/1.34 X, T, U, Y, W, V0 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 0.93/1.34 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 0.93/1.34 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 0.93/1.34 , V0, U, V1 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 0.93/1.34 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 0.93/1.34 , V0, U, V1 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 0.93/1.34 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 0.93/1.34 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.93/1.34 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.93/1.34 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.93/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.93/1.34 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.93/1.34 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.93/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.93/1.34 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.93/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.93/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.93/1.34 , Z ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.93/1.34 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.34 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 0.93/1.34 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 0.93/1.34 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.93/1.34 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 0.93/1.34 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ), X ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OAbs'( X ) ), ~(
% 0.93/1.34 'c_InductTermi_OIT'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.93/1.34 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.93/1.34 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.93/1.34 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ), ~( 'c_Lambda_Obeta'( Y, Z ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_Lambda_Obeta'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.93/1.34 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ), ~( 'c_Lambda_Obeta'( X, Z ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ),
% 0.93/1.34 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.34 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.93/1.34 Z, Y, X ) ) ],
% 0.93/1.34 [ 'c_InductTermi_OIT'( 'v_u____' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.34 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.93/1.34 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.93/1.34 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.93/1.34 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.93/1.34 X ), X ), X ) ],
% 0.93/1.34 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.93/1.34 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.93/1.34 [ =( 'c_nat_Onat__size'( 'c_Suc'( X ) ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_nat_Onat__size'( X ) ),
% 0.93/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.93/1.34 X ), X ), Y ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 0.93/1.34 'tc_nat' ) ],
% 0.93/1.34 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.93/1.34 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.93/1.34 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ 'c_Lambda_Obeta'( 'c_Lambda_Olift'( X, Y ), 'c_Lambda_Olift'( Z, Y ) )
% 0.93/1.34 , ~( 'c_Lambda_Obeta'( X, Z ) ) ],
% 0.93/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.93/1.34 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.93/1.34 [ =( 'c_Orderings_Oord__class_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.93/1.34 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.34 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.93/1.34 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.93/1.34 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.93/1.34 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 0.93/1.34 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.93/1.34 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 0.93/1.34 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.34 X, 'tc_nat' ) ), X ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ), ~( 'c_lessequals'(
% 0.93/1.34 X, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Y ), X ), ~(
% 0.93/1.34 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 0.93/1.34 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W, V0,
% 0.93/1.34 V1 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 0.93/1.34 'c_Suc'( T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W, V0,
% 0.93/1.34 V1 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.93/1.34 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), 'c_Suc'( Z ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 0.93/1.34 X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), X ), Y ), Z, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat'
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat'
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.34 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.93/1.34 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.93/1.34 [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 0.93/1.34 , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.93/1.34 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.93/1.34 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.93/1.34 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.93/1.34 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.93/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.93/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.93/1.34 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.93/1.34 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.93/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ) ), X, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ) ), X, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.93/1.34 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.34 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.93/1.34 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.34 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.93/1.34 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.93/1.34 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.93/1.34 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( X, 'c_Lambda_OdB_OVar'( Y ), Z
% 0.93/1.34 ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.34 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.93/1.34 , Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.34 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.34 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Otimes__class_Otimes'( Z, U
% 0.93/1.34 , X ) ) ) ), =( T, U ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Y, T, 'tc_nat' ) ) ) ), =( Z, T ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.93/1.34 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.93/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.93/1.34 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.93/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.93/1.34 , X ) ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ) ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.93/1.34 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.93/1.34 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.34 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.34 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.34 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.34 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.34 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.34 , Z ), Y ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.93/1.34 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 0.93/1.34 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.93/1.34 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.93/1.34 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.93/1.34 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ), T ),
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.93/1.34 ), Y ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'c_InductTermi_OIT'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ),
% 0.93/1.34 'c_Lambda_OdB_OVar'( Y ) ) ), ~( 'c_InductTermi_OIT'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.93/1.34 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.93/1.34 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.93/1.34 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.34 , Y ), T ), Z, X ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.93/1.34 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.93/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.93/1.34 , X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.93/1.34 , X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), X ) ) ],
% 0.93/1.34 [ 'c_Lambda_Obeta'( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.93/1.34 , ~( 'c_Lambda_Obeta'( X, Y ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.93/1.34 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.93/1.34 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.93/1.34 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.93/1.34 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.34 , Y ), Z ), Z, X ), Y ) ],
% 0.93/1.34 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.93/1.34 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.93/1.34 [ =( 'c_Type_Otype_Otype__case'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.93/1.34 hAPP( X, Z ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.34 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.93/1.34 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.93/1.34 , 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.34 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.93/1.34 , 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( X, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.93/1.34 'c_Type_Osko__Type__Xtyping__elims__3__1'( X, Y, Z ) ),
% 0.93/1.34 'c_Type_Osko__Type__Xtyping__elims__3__2'( X, Y, Z ) ) ), ~(
% 0.93/1.34 'c_Type_Otyping'( Y, 'c_Lambda_OdB_OAbs'( Z ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.93/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.93/1.34 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.93/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.93/1.34 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.93/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.93/1.34 Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.93/1.34 Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.93/1.34 Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.93/1.34 Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.93/1.34 Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.93/1.34 Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.93/1.34 Y ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.93/1.34 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.34 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.93/1.34 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.93/1.34 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.93/1.34 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.93/1.34 Z, U ), W ) ) ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.93/1.34 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.93/1.34 Z, U ), W ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.93/1.34 ) ), =( X, T ) ],
% 0.93/1.34 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.93/1.34 ) ), =( Y, U ) ],
% 0.93/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.93/1.34 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.93/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.93/1.34 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.93/1.34 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.93/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.93/1.34 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.93/1.34 Z ) ) ) ],
% 0.93/1.34 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.93/1.34 , 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 0.93/1.34 , 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( X, Z,
% 0.93/1.34 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.93/1.34 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.93/1.34 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.93/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ), Z ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.93/1.34 Z ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.93/1.34 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.93/1.34 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 0.93/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ) ],
% 0.93/1.34 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.93/1.34 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.93/1.34 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.93/1.34 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.34 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.93/1.34 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.93/1.34 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.93/1.34 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.93/1.34 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.93/1.34 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.93/1.34 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.93/1.34 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.93/1.34 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.93/1.34 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.93/1.34 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.93/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.93/1.34 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.93/1.34 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.34 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.93/1.34 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.93/1.34 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.93/1.34 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.93/1.34 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ =( 'c_Lambda_OdB_OdB__size'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y )
% 0.93/1.34 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.93/1.34 'c_Lambda_OdB_OdB__size'( Y ) ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ) ) ) ) ],
% 0.93/1.34 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.93/1.34 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.93/1.34 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.93/1.34 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.34 T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.34 X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.34 T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.34 T, X ), X ) ) ],
% 0.93/1.34 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.93/1.34 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.93/1.34 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.93/1.34 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.93/1.34 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.93/1.34 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.93/1.34 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.34 , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Z, T, X ) ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.93/1.34 , Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Z, T, X ) ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 0.93/1.34 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( X, hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.34 Y, 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 X ), Z ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Y, T, X ) ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ), Z ), X ) ],
% 0.93/1.34 [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ), Z ), X ) ],
% 0.93/1.34 [ =( 'c_Orderings_Oord__class_Omin'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.93/1.34 'v_sko__List__Xreplicate__Xinduct__1'( X ) ) ), ~( hBOOL( hAPP( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 't_a' ) ) ) ), hBOOL( hAPP( X, Y
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinducts__1'(
% 0.93/1.34 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Nitpick_Onat__gcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.93/1.34 , X ) ],
% 0.93/1.34 [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_String_Ochar_Ochar__size'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__Nat__Xnat__Xinduct__1'(
% 0.93/1.34 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ), 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ), 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, 'v_sko__List__Xupt__Xinduct__1'(
% 0.93/1.34 X ) ) ), ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.34 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.93/1.34 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ) ), ~( hBOOL(
% 0.93/1.34 hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.93/1.34 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ =( 'c_Orderings_Oord__class_Omax'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.93/1.34 [ =( 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), X, 'tc_nat' ), X ) ],
% 0.93/1.34 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.93/1.34 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.93/1.34 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.93/1.34 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 0.93/1.34 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.93/1.34 X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.93/1.34 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.93/1.34 ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.93/1.34 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.93/1.34 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.93/1.34 [ ~( 'c_Lambda_Obeta'( 'c_Lambda_OdB_OVar'( X ), Y ) ) ],
% 0.93/1.34 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.93/1.34 hAPP( X, T ) ) ],
% 0.93/1.34 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.93/1.34 Z ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.93/1.34 [ 'c_InductTermi_OIT'( 'c_Lambda_OdB_OVar'( X ) ) ],
% 0.93/1.34 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.93/1.34 hAPP( X, T ) ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.93/1.34 Z ) ) ) ],
% 0.93/1.34 [ 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.93/1.34 'tc_Type_Otype' ), 'v_as____', 'v_Ts____' ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.93/1.34 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.93/1.34 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.93/1.34 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.93/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.93/1.34 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ), X ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Lambda_Obeta'( T, Y ) ), ~(
% 0.93/1.34 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), 'c_Type_Osko__Type__Xabs__typeE__1__1'( X, Y ),
% 0.93/1.34 'tc_Type_Otype' ), Y, 'c_Type_Osko__Type__Xabs__typeE__1__2'( X, Y ) ),
% 0.93/1.34 ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), 'c_Type_Osko__Type__Xtyping__elims__3__1'( Y, X, Z ),
% 0.93/1.34 'tc_Type_Otype' ), Z, 'c_Type_Osko__Type__Xtyping__elims__3__2'( Y, X, Z
% 0.93/1.34 ) ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Z ), Y ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.93/1.34 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.93/1.34 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), 'c_Type_Otype_OAtom'(
% 0.93/1.34 Z ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.93/1.34 , Z ) ) ],
% 0.93/1.34 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.93/1.34 , Y ) ) ],
% 0.93/1.34 [ =( 'c_Type_Otype_Otype__rec'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun', Z
% 0.93/1.34 ), T ), U ), hAPP( hAPP( hAPP( hAPP( Y, Z ), T ),
% 0.93/1.34 'c_Type_Otype_Otype__rec'( X, Y, Z, U ) ), 'c_Type_Otype_Otype__rec'( X,
% 0.93/1.34 Y, T, U ) ) ) ],
% 0.93/1.34 [ =( 'c_Type_Otype_Otype__case'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.93/1.34 Z ), T ), U ), hAPP( hAPP( Y, Z ), T ) ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.93/1.34 Z, T ), U ) ) ) ],
% 0.93/1.34 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.93/1.34 Z, T ), U ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Type_Otype_OAtom'( X ), hAPP( hAPP( 'c_Type_Otype_OFun', Y )
% 0.93/1.34 , Z ) ) ) ],
% 0.93/1.34 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.93/1.34 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.93/1.34 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.93/1.34 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.93/1.34 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.93/1.34 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ),
% 0.93/1.34 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( Z, T, U ) ), ~( 'c_Type_Otyping'(
% 0.93/1.34 W, T, Y ) ), ~( 'c_InductTermi_OIT'( T ) ), ~( 'c_Type_Otyping'(
% 0.93/1.34 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype' ), Z, V0 ) ), ~(
% 0.93/1.34 'c_InductTermi_OIT'( Z ) ) ],
% 0.93/1.34 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ),
% 0.93/1.34 'c_InductTermi_OIT'( 'c_Lambda_Osubst'( Z, T, U ) ), ~( 'c_Type_Otyping'(
% 0.93/1.34 W, T, X ) ), ~( 'c_InductTermi_OIT'( T ) ), ~( 'c_Type_Otyping'(
% 0.93/1.34 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype' ), Z, V0 ) ), ~(
% 0.93/1.34 'c_InductTermi_OIT'( Z ) ) ],
% 0.93/1.34 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.93/1.34 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.93/1.34 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.93/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.93/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.93/1.34 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.93/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.93/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.93/1.34 , Y ) ) ],
% 0.93/1.34 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.93/1.34 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z,
% 0.93/1.34 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.93/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ), Z ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.93/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.93/1.34 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.93/1.34 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.93/1.34 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z,
% 0.93/1.34 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.93/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.93/1.34 'tc_Lambda_OdB' ), Z ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.93/1.34 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.93/1.34 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.93/1.34 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.93/1.34 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.93/1.34 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.93/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.93/1.34 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.93/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.93/1.34 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.93/1.34 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.93/1.34 'v_n____' ) ), 'v_a____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.93/1.34 'v_Ts____', 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ],
% 0.93/1.34 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.93/1.34 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.93/1.34 'c_Suc'( Y ), Z, T ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.93/1.34 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.93/1.34 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ],
% 0.93/1.34 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.93/1.34 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X,
% 0.93/1.34 'c_Lambda_Osubst'( U, Y, T ), W ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.93/1.34 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'( 'v_n____' ), hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.93/1.34 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.93/1.34 'tc_Type_Otype' ) ) ) ],
% 0.93/1.34 [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.93/1.34 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.93/1.34 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.93/1.34 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.93/1.34 'tc_Type_Otype' ) ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.93/1.34 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.93/1.34 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.93/1.34 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.93/1.34 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.93/1.34 , Z ) ) ],
% 0.93/1.34 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.93/1.34 [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_List_Ofoldr'(
% 0.93/1.34 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.93/1.34 'tc_Type_Otype' ), 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Ofoldr'(
% 0.93/1.34 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.93/1.34 'tc_Type_Otype' ) ) ) ],
% 0.93/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.93/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.93/1.34 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.93/1.34 Y ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.93/1.34 [ 'c_fequal'( X, X, Y ) ],
% 0.93/1.34 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.93/1.34 ] .
% 0.93/1.34
% 0.93/1.34
% 0.93/1.34 percentage equality = 0.275105, percentage horn = 0.907975
% 0.93/1.34 This is a problem with some equality
% 0.93/1.34
% 0.93/1.34
% 0.93/1.34
% 0.93/1.34 Options Used:
% 0.93/1.34
% 0.93/1.34 useres = 1
% 0.93/1.34 useparamod = 1
% 0.93/1.34 useeqrefl = 1
% 0.93/1.34 useeqfact = 1
% 0.93/1.34 usefactor = 1
% 0.93/1.34 usesimpsplitting = 0
% 0.93/1.34 usesimpdemod = 5
% 0.93/1.34 usesimpres = 3
% 0.93/1.34
% 0.93/1.34 resimpinuse = 1000
% 0.93/1.34 resimpclauses = 20000
% 0.93/1.34 substype = eqrewr
% 0.93/1.34 backwardsubs = 1
% 0.93/1.34 selectoldest = 5
% 0.93/1.34
% 0.93/1.34 litorderings [0] = split
% 0.93/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.93/1.34
% 0.93/1.34 termordering = kbo
% 0.93/1.34
% 0.93/1.34 litapriori = 0
% 0.93/1.34 termapriori = 1
% 0.93/1.34 litaposteriori = 0
% 0.93/1.34 termaposteriori = 0
% 0.93/1.34 demodaposteriori = 0
% 0.93/1.34 ordereqreflfact = 0
% 0.93/1.34
% 0.93/1.34 litselect = negord
% 0.93/1.34
% 0.93/1.34 maxweight = 15
% 0.93/1.34 maxdepth = 30000
% 0.93/1.34 maxlength = 115
% 0.93/1.34 maxnrvars = 195
% 0.93/1.34 excuselevel = 1
% 0.93/1.34 increasemaxweight = 1
% 0.93/1.34
% 0.93/1.34 maxselected = 10000000
% 0.93/1.34 maxnrclauses = 10000000
% 0.93/1.34
% 0.93/1.34 showgenerated = 0
% 0.93/1.34 showkept = 0
% 0.93/1.34 showselected = 0
% 0.93/1.34 showdeleted = 0
% 0.93/1.34 showresimp = 1
% 0.93/1.34 showstatus = 2000
% 0.93/1.34
% 0.93/1.34 prologoutput = 1
% 0.93/1.34 nrgoals = 5000000
% 0.93/1.34 totalproof = 1
% 0.93/1.34
% 0.93/1.34 Symbols occurring in the translation:
% 0.93/1.34
% 0.93/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.93/1.34 . [1, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.93/1.34 ! [4, 1] (w:0, o:107, a:1, s:1, b:0),
% 0.93/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.34 'tc_nat' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus' [40, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:215, a:1, s:1, b:0),
% 0.93/1.34 hAPP [44, 2] (w:1, o:205, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Oord__class_Oless' [48, 3] (w:1, o:216, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus' [49, 3] (w:1, o:217, a:1, s:1, b:0),
% 0.93/1.34 'c_lessequals' [50, 3] (w:1, o:218, a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Oring' [52, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.93/1.34 'c_Suc' [57, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Osemiring__0' [58, 1] (w:1, o:119, a:1, s:1
% 0.93/1.34 , b:0),
% 0.93/1.34 'class_Power_Opower' [59, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero' [60, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.93/1.34 'c_Power_Opower__class_Opower' [61, 3] (w:1, o:221, a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Oordered__semiring__strict' [62, 1] (w:1, o:
% 0.93/1.34 148, a:1, s:1, b:0),
% 0.93/1.34 hBOOL [66, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.93/1.34 'v_sko__Nat__Xnat__Xinduct__1' [67, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.93/1.34 'class_Orderings_Olinorder' [68, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.93/1.34 'c_Orderings_Oord__class_Omin' [71, 3] (w:1, o:219, a:1, s:1, b:0),
% 0.93/1.34 'class_Ring__and__Field_Oordered__semidom' [73, 1] (w:1, o:151, a:1
% 0.93/1.34 , s:1, b:0),
% 0.93/1.34 'class_OrderedGroup_Opordered__ab__group__add' [74, 1] (w:1, o:122
% 0.93/1.34 , a:1, s:1, b:0),
% 0.93/1.34 'c_Orderings_Oord__class_Omax' [75, 3] (w:1, o:220, a:1, s:1, b:0),
% 0.93/1.34 'c_List_Oappend' [78, 3] (w:1, o:222, a:1, s:1, b:0),
% 0.93/1.34 'c_List_Oreplicate' [81, 3] (w:1, o:223, a:1, s:1, b:0),
% 0.93/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [82, 1]
% 0.93/1.34 (w:1, o:123, a:1, s:1, b:0),
% 0.93/1.34 'class_OrderedGroup_Ocomm__monoid__add' [83, 1] (w:1, o:124, a:1, s:1
% 0.93/1.34 , b:0),
% 0.93/1.34 'c_Nat_Osemiring__1__class_Oof__nat' [84, 2] (w:1, o:206, a:1, s:1
% 0.93/1.34 , b:0),
% 0.93/1.34 'c_Lambda_Osubst' [87, 3] (w:1, o:224, a:1, s:1, b:0),
% 0.98/1.59 'c_Lambda_Obeta' [89, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.98/1.59 'c_Lambda_OdB_OAbs' [94, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.98/1.59 'c_Lambda_OdB_OdB__case' [95, 5] (w:1, o:241, a:1, s:1, b:0),
% 0.98/1.59 'class_Ring__and__Field_Oidom' [96, 1] (w:1, o:153, a:1, s:1, b:0),
% 0.98/1.59 'class_Int_Onumber__ring' [97, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.98/1.59 'class_OrderedGroup_Olordered__ab__group__add' [98, 1] (w:1, o:125
% 0.98/1.59 , a:1, s:1, b:0),
% 0.98/1.59 'c_Lambda_OdB_OVar' [99, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.98/1.59 'class_OrderedGroup_Ogroup__add' [100, 1] (w:1, o:126, a:1, s:1, b:0)
% 0.98/1.59 ,
% 0.98/1.59 'class_Ring__and__Field_Ocomm__semiring__1' [101, 1] (w:1, o:156, a:1
% 0.98/1.59 , s:1, b:0),
% 0.98/1.59 'v_sko__Nat__Xnat__Xinducts__1' [104, 1] (w:1, o:157, a:1, s:1, b:0)
% 0.98/1.59 ,
% 0.98/1.59 'class_OrderedGroup_Omonoid__mult' [105, 1] (w:1, o:127, a:1, s:1, b:
% 0.98/1.59 0),
% 0.98/1.59 'class_OrderedGroup_Opordered__ab__semigroup__add' [107, 1] (w:1, o:
% 0.98/1.59 128, a:1, s:1, b:0),
% 0.98/1.59 'class_OrderedGroup_Omonoid__add' [108, 1] (w:1, o:129, a:1, s:1, b:0
% 0.98/1.59 ),
% 0.98/1.59 'c_List_Olistsum' [109, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.98/1.59 'c_List_Ofoldl' [110, 5] (w:1, o:242, a:1, s:1, b:0),
% 0.98/1.59 'class_OrderedGroup_Opordered__comm__monoid__add' [111, 1] (w:1, o:
% 0.98/1.59 130, a:1, s:1, b:0),
% 0.98/1.59 'c_Lambda_OdB_OApp' [112, 0] (w:1, o:75, a:1, s:1, b:0),
% 0.98/1.59 'class_Orderings_Opreorder' [115, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.98/1.59 'class_Orderings_Oorder' [116, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.98/1.59 'c_Type_Osko__Type__Xtyping__elims__2__1' [118, 4] (w:1, o:232, a:1
% 0.98/1.59 , s:1, b:0),
% 0.98/1.59 'c_Type_Otyping' [119, 3] (w:1, o:227, a:1, s:1, b:0),
% 0.98/1.59 'class_OrderedGroup_Oab__group__add' [120, 1] (w:1, o:133, a:1, s:1
% 0.98/1.59 , b:0),
% 0.98/1.59 'class_OrderedGroup_Oab__semigroup__add' [121, 1] (w:1, o:134, a:1
% 0.98/1.59 , s:1, b:0),
% 0.98/1.59 'c_List_Olist_OCons' [122, 3] (w:1, o:228, a:1, s:1, b:0),
% 0.98/1.59 'c_List_Odrop' [123, 3] (w:1, o:229, a:1, s:1, b:0),
% 0.98/1.59 'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1' [124, 1] (w:1
% 0.98/1.59 , o:158, a:1, s:1, b:0),
% 0.98/1.59 'c_List_Olist_ONil' [125, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.98/1.59 'class_Orderings_Obot' [126, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.98/1.59 'c_Orderings_Obot__class_Obot' [127, 1] (w:1, o:160, a:1, s:1, b:0),
% 0.98/1.59
% 0.98/1.59 'c_Groebner__Basis_Ogb__semiring' [133, 6] (w:1, o:245, a:1, s:1, b:0
% 0.98/1.59 ),
% 0.98/1.59 'v_sko__List__Xupt__Xinduct__1' [134, 1] (w:1, o:161, a:1, s:1, b:0)
% 0.98/1.59 ,
% 0.98/1.59 'c_Type_Otype_OAtom' [135, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.98/1.59 'v_sko__List__Xreplicate__Xinduct__1' [137, 1] (w:1, o:164, a:1, s:1
% 0.98/1.59 , b:0),
% 0.98/1.59 'class_Ring__and__Field_Opordered__ring' [138, 1] (w:1, o:168, a:1
% 0.98/1.59 , s:1, b:0),
% 0.98/1.59 'c_Lambda_Olift' [139, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.98/1.59 'class_Ring__and__Field_Oordered__ring__strict' [140, 1] (w:1, o:147
% 0.98/1.59 , a:1, s:1, b:0),
% 0.98/1.59 'class_OrderedGroup_Osemigroup__add' [141, 1] (w:1, o:136, a:1, s:1
% 0.98/1.59 , b:0),
% 0.98/1.59 'class_Nat_Osemiring__char__0' [142, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.98/1.59
% 0.98/1.59 'class_Ring__and__Field_Oordered__semiring' [143, 1] (w:1, o:165, a:1
% 0.98/1.59 , s:1, b:0),
% 0.98/1.59 'c_List_Ofoldr' [144, 5] (w:1, o:243, a:1, s:1, b:0),
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% 38.68/39.09
% 38.68/39.09 Intermediate Status:
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% 38.68/39.09
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% 38.68/39.09
% 38.68/39.09 Intermediate Status:
% 38.68/39.09 Generated: 267722
% 38.68/39.09 Kept: 63931
% 38.68/39.09 Inuse: 1220
% 38.68/39.09 Deleted: 1507
% 92.11/92.54 Deletedinuse: 17
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 304045
% 92.11/92.54 Kept: 68371
% 92.11/92.54 Inuse: 1240
% 92.11/92.54 Deleted: 1507
% 92.11/92.54 Deletedinuse: 17
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 337317
% 92.11/92.54 Kept: 71452
% 92.11/92.54 Inuse: 1245
% 92.11/92.54 Deleted: 1507
% 92.11/92.54 Deletedinuse: 17
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 352633
% 92.11/92.54 Kept: 76241
% 92.11/92.54 Inuse: 1265
% 92.11/92.54 Deleted: 1507
% 92.11/92.54 Deletedinuse: 17
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 368204
% 92.11/92.54 Kept: 79252
% 92.11/92.54 Inuse: 1295
% 92.11/92.54 Deleted: 1515
% 92.11/92.54 Deletedinuse: 25
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 380396
% 92.11/92.54 Kept: 81452
% 92.11/92.54 Inuse: 1335
% 92.11/92.54 Deleted: 1515
% 92.11/92.54 Deletedinuse: 25
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying clauses:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 396592
% 92.11/92.54 Kept: 83837
% 92.11/92.54 Inuse: 1355
% 92.11/92.54 Deleted: 2017
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 420932
% 92.11/92.54 Kept: 87549
% 92.11/92.54 Inuse: 1365
% 92.11/92.54 Deleted: 2017
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 445785
% 92.11/92.54 Kept: 90509
% 92.11/92.54 Inuse: 1375
% 92.11/92.54 Deleted: 2017
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 463269
% 92.11/92.54 Kept: 92861
% 92.11/92.54 Inuse: 1395
% 92.11/92.54 Deleted: 2017
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 479036
% 92.11/92.54 Kept: 94895
% 92.11/92.54 Inuse: 1405
% 92.11/92.54 Deleted: 2017
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 497224
% 92.11/92.54 Kept: 96990
% 92.11/92.54 Inuse: 1425
% 92.11/92.54 Deleted: 2017
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 513993
% 92.11/92.54 Kept: 98997
% 92.11/92.54 Inuse: 1440
% 92.11/92.54 Deleted: 2017
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 524299
% 92.11/92.54 Kept: 101586
% 92.11/92.54 Inuse: 1451
% 92.11/92.54 Deleted: 2031
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying clauses:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 540861
% 92.11/92.54 Kept: 104323
% 92.11/92.54 Inuse: 1466
% 92.11/92.54 Deleted: 2395
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 568149
% 92.11/92.54 Kept: 107277
% 92.11/92.54 Inuse: 1476
% 92.11/92.54 Deleted: 2395
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 598046
% 92.11/92.54 Kept: 110523
% 92.11/92.54 Inuse: 1486
% 92.11/92.54 Deleted: 2395
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 616688
% 92.11/92.54 Kept: 112952
% 92.11/92.54 Inuse: 1501
% 92.11/92.54 Deleted: 2395
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 627749
% 92.11/92.54 Kept: 115125
% 92.11/92.54 Inuse: 1526
% 92.11/92.54 Deleted: 2395
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 642248
% 92.11/92.54 Kept: 117441
% 92.11/92.54 Inuse: 1551
% 92.11/92.54 Deleted: 2395
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 658095
% 92.11/92.54 Kept: 119889
% 92.11/92.54 Inuse: 1571
% 92.11/92.54 Deleted: 2395
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying clauses:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 668749
% 92.11/92.54 Kept: 121945
% 92.11/92.54 Inuse: 1591
% 92.11/92.54 Deleted: 2736
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 676480
% 92.11/92.54 Kept: 124050
% 92.11/92.54 Inuse: 1601
% 92.11/92.54 Deleted: 2736
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 687821
% 92.11/92.54 Kept: 126631
% 92.11/92.54 Inuse: 1609
% 92.11/92.54 Deleted: 2736
% 92.11/92.54 Deletedinuse: 26
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54 Resimplifying inuse:
% 92.11/92.54 Done
% 92.11/92.54
% 92.11/92.54
% 92.11/92.54 Intermediate Status:
% 92.11/92.54 Generated: 708252
% 92.11/92.54 Kept: 129425
% 92.11/92.54 Inuse: 1611
% 168.75/169.22 Deleted: 2736
% 168.75/169.22 Deletedinuse: 26
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22
% 168.75/169.22 Intermediate Status:
% 168.75/169.22 Generated: 730110
% 168.75/169.22 Kept: 135235
% 168.75/169.22 Inuse: 1618
% 168.75/169.22 Deleted: 2736
% 168.75/169.22 Deletedinuse: 26
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22
% 168.75/169.22 Intermediate Status:
% 168.75/169.22 Generated: 741204
% 168.75/169.22 Kept: 137527
% 168.75/169.22 Inuse: 1626
% 168.75/169.22 Deleted: 2737
% 168.75/169.22 Deletedinuse: 27
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22
% 168.75/169.22 Intermediate Status:
% 168.75/169.22 Generated: 751790
% 168.75/169.22 Kept: 139554
% 168.75/169.22 Inuse: 1634
% 168.75/169.22 Deleted: 2737
% 168.75/169.22 Deletedinuse: 27
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22
% 168.75/169.22 Intermediate Status:
% 168.75/169.22 Generated: 764418
% 168.75/169.22 Kept: 141583
% 168.75/169.22 Inuse: 1659
% 168.75/169.22 Deleted: 2737
% 168.75/169.22 Deletedinuse: 27
% 168.75/169.22
% 168.75/169.22 Resimplifying clauses:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22
% 168.75/169.22 Intermediate Status:
% 168.75/169.22 Generated: 784391
% 168.75/169.22 Kept: 143693
% 168.75/169.22 Inuse: 1666
% 168.75/169.22 Deleted: 3087
% 168.75/169.22 Deletedinuse: 28
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.22 Done
% 168.75/169.22
% 168.75/169.22
% 168.75/169.22 Intermediate Status:
% 168.75/169.22 Generated: 796841
% 168.75/169.22 Kept: 145938
% 168.75/169.22 Inuse: 1696
% 168.75/169.22 Deleted: 3087
% 168.75/169.22 Deletedinuse: 28
% 168.75/169.22
% 168.75/169.22 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 813046
% 168.75/169.23 Kept: 149038
% 168.75/169.23 Inuse: 1721
% 168.75/169.23 Deleted: 3089
% 168.75/169.23 Deletedinuse: 30
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 825280
% 168.75/169.23 Kept: 151041
% 168.75/169.23 Inuse: 1749
% 168.75/169.23 Deleted: 3090
% 168.75/169.23 Deletedinuse: 31
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 833582
% 168.75/169.23 Kept: 153158
% 168.75/169.23 Inuse: 1766
% 168.75/169.23 Deleted: 3091
% 168.75/169.23 Deletedinuse: 32
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 843130
% 168.75/169.23 Kept: 155269
% 168.75/169.23 Inuse: 1781
% 168.75/169.23 Deleted: 3091
% 168.75/169.23 Deletedinuse: 32
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 857496
% 168.75/169.23 Kept: 157572
% 168.75/169.23 Inuse: 1801
% 168.75/169.23 Deleted: 3091
% 168.75/169.23 Deletedinuse: 32
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 870734
% 168.75/169.23 Kept: 159645
% 168.75/169.23 Inuse: 1821
% 168.75/169.23 Deleted: 3091
% 168.75/169.23 Deletedinuse: 32
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 884289
% 168.75/169.23 Kept: 161651
% 168.75/169.23 Inuse: 1842
% 168.75/169.23 Deleted: 3091
% 168.75/169.23 Deletedinuse: 32
% 168.75/169.23
% 168.75/169.23 Resimplifying clauses:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 898294
% 168.75/169.23 Kept: 163657
% 168.75/169.23 Inuse: 1862
% 168.75/169.23 Deleted: 4074
% 168.75/169.23 Deletedinuse: 33
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 912489
% 168.75/169.23 Kept: 166671
% 168.75/169.23 Inuse: 1871
% 168.75/169.23 Deleted: 4074
% 168.75/169.23 Deletedinuse: 33
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 927107
% 168.75/169.23 Kept: 168702
% 168.75/169.23 Inuse: 1894
% 168.75/169.23 Deleted: 4074
% 168.75/169.23 Deletedinuse: 33
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 942006
% 168.75/169.23 Kept: 170755
% 168.75/169.23 Inuse: 1916
% 168.75/169.23 Deleted: 4074
% 168.75/169.23 Deletedinuse: 33
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 958580
% 168.75/169.23 Kept: 172780
% 168.75/169.23 Inuse: 1940
% 168.75/169.23 Deleted: 4075
% 168.75/169.23 Deletedinuse: 34
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 970591
% 168.75/169.23 Kept: 174815
% 168.75/169.23 Inuse: 1958
% 168.75/169.23 Deleted: 4076
% 168.75/169.23 Deletedinuse: 35
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 979895
% 168.75/169.23 Kept: 176817
% 168.75/169.23 Inuse: 1978
% 168.75/169.23 Deleted: 4076
% 168.75/169.23 Deletedinuse: 35
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 991965
% 168.75/169.23 Kept: 178843
% 168.75/169.23 Inuse: 1997
% 168.75/169.23 Deleted: 4076
% 168.75/169.23 Deletedinuse: 35
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 1010547
% 168.75/169.23 Kept: 185250
% 168.75/169.23 Inuse: 2011
% 168.75/169.23 Deleted: 4076
% 168.75/169.23 Deletedinuse: 35
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23 Resimplifying clauses:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 1022122
% 168.75/169.23 Kept: 190621
% 168.75/169.23 Inuse: 2016
% 168.75/169.23 Deleted: 4670
% 168.75/169.23 Deletedinuse: 35
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 Generated: 1065704
% 168.75/169.23 Kept: 194039
% 168.75/169.23 Inuse: 2021
% 168.75/169.23 Deleted: 4670
% 168.75/169.23 Deletedinuse: 35
% 168.75/169.23
% 168.75/169.23 Resimplifying inuse:
% 168.75/169.23 Done
% 168.75/169.23
% 168.75/169.23
% 168.75/169.23 Intermediate Status:
% 168.75/169.23 GenerateCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------