TSTP Solution File: LCL790-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL790-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 07:58:00 EDT 2022
% Result : Timeout 300.07s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL790-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 14:36:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.98/1.36 *** allocated 10000 integers for termspace/termends
% 0.98/1.36 *** allocated 10000 integers for clauses
% 0.98/1.36 *** allocated 10000 integers for justifications
% 0.98/1.36 *** allocated 15000 integers for termspace/termends
% 0.98/1.36 Bliksem 1.12
% 0.98/1.36
% 0.98/1.36
% 0.98/1.36 Automatic Strategy Selection
% 0.98/1.36
% 0.98/1.36 Clauses:
% 0.98/1.36 [
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.98/1.36 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.98/1.36 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.36 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.36 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.98/1.36 ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.98/1.36 ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.36 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.98/1.36 , X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.36 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.98/1.36 , X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.98/1.36 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.36 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.36 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.36 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.36 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.36 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.98/1.36 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.36 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.36 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.36 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.36 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.36 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.98/1.36 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.36 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.36 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.36 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.36 'tc_nat' ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.36 'tc_nat' ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.36 , X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.36 , X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.36 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.98/1.36 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.98/1.36 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.36 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.36 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.36 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.98/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.36 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.98/1.36 , X ), X ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.98/1.36 , X ), X ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.36 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.98/1.36 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.36 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.36 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.36 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.98/1.36 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.36 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ) ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.98/1.36 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ), Y ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.98/1.36 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ =( 'c_List_Otake'( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.98/1.36 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 0.98/1.36 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =(
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 0.98/1.36 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 0.98/1.36 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.98/1.36 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.98/1.36 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.98/1.36 ) ) ],
% 0.98/1.36 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T
% 0.98/1.36 ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'( Y, T, U, Z )
% 0.98/1.36 , Z ) ) ],
% 0.98/1.36 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.98/1.36 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.98/1.36 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.98/1.36 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.98/1.36 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.98/1.36 'c_Suc'( Y ), Z, T ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.98/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.98/1.36 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.36 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.98/1.36 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.98/1.36 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.36 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.98/1.36 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.36 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.98/1.36 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.36 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.36 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.98/1.36 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.36 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.36 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.98/1.36 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.36 , X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.98/1.36 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.36 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.36 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.36 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.36 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.98/1.36 ) ],
% 0.98/1.36 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.98/1.36 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.98/1.36 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.98/1.36 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.98/1.36 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.98/1.36 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.98/1.36 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 0.98/1.36 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.36 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.98/1.36 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.98/1.36 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.36 Y ) ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.98/1.36 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.98/1.36 ) ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.98/1.36 ), Z ), Y ) ],
% 0.98/1.36 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.98/1.36 hBOOL( hAPP( X, Z ) ) ],
% 0.98/1.36 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), Y, 'tc_nat' ) ) ) ),
% 0.98/1.36 hBOOL( hAPP( X, Z ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.36 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.98/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.36 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.36 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.98/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.36 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.36 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.98/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.36 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.98/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_Suc'( Z ), T, X ),
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, Z, hAPP( Y, T ), X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.36 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.36 , T, X ) ) ), =( Y, Z ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.36 , T, X ) ) ), =( Z, T ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.98/1.36 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.98/1.36 Y ) ) ) ],
% 0.98/1.36 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.98/1.36 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_Suc'(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 0.98/1.36 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.36 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.98/1.36 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.98/1.36 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.98/1.36 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.98/1.36 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.98/1.36 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.36 , Y ), Z ), Z, X ), Y ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.36 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.36 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.36 ) ), =( Y, Z ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.36 ) ), =( Y, Z ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat__aux'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ), Z, X ), Z ) ],
% 0.98/1.36 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.98/1.36 X ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.98/1.36 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.98/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.36 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.98/1.36 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.98/1.36 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.36 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.36 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.36 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.36 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.36 Z, T, X ), X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.98/1.36 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.36 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.98/1.36 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OAbs'( Y ), Z ),
% 0.98/1.36 'c_Lambda_OdB_OAbs'( 'c_Lambda_Oliftn'( X, Y, hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.36 'tc_nat' ) ) ) ) ) ],
% 0.98/1.36 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X,
% 0.98/1.36 'c_HOL_Ominus__class_Ominus'( U, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.36 'tc_nat' ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, U, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.98/1.36 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.98/1.36 ), Z ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.98/1.36 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 X ), Y ), Z ) ), T ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.36 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.98/1.36 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.98/1.36 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.98/1.36 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.98/1.36 [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.36 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.98/1.36 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.36 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.98/1.36 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.98/1.36 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.98/1.36 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.98/1.36 Y, T, Z ), Z ) ) ],
% 0.98/1.36 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.98/1.36 T, Y, Z ), Z ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.98/1.36 hAPP( Z, T ) ) ],
% 0.98/1.36 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.98/1.36 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.98/1.36 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.98/1.36 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.98/1.36 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.98/1.36 =( X, T ) ],
% 0.98/1.36 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.98/1.36 =( Y, T ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.98/1.36 ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.98/1.36 ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.98/1.36 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.98/1.36 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.98/1.36 ), Z ), U ) ) ) ],
% 0.98/1.36 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.98/1.36 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.98/1.36 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.98/1.36 X ) ) ), 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ), ~( hBOOL(
% 0.98/1.36 hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.36 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.98/1.36 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.98/1.36 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.98/1.36 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.98/1.36 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.36 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.98/1.36 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.98/1.36 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.36 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.98/1.36 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.36 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.98/1.36 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OAbs'( X ), Y, Z ),
% 0.98/1.36 'c_Lambda_OdB_OAbs'( 'c_Lambda_Osubstn'( X, Y, hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.36 'tc_nat' ) ) ) ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.98/1.36 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 X, T, 'tc_nat' ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.98/1.36 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.98/1.36 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.98/1.36 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.98/1.36 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.36 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.98/1.36 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.98/1.36 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.98/1.36 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.36 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.98/1.36 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.98/1.36 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.98/1.36 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.98/1.36 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.98/1.36 ) ],
% 0.98/1.36 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.36 X ), Y ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.98/1.36 X ), Y ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.98/1.36 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.98/1.36 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.98/1.36 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.36 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.36 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.98/1.36 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.98/1.36 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.98/1.36 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.98/1.36 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.36 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.98/1.36 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.98/1.36 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.98/1.36 [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.36 'c_Lambda_OdB_OAbs'(
% 0.98/1.36 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 0.98/1.36 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.98/1.36 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.98/1.36 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.36 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.98/1.36 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.98/1.36 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( T,
% 0.98/1.36 'c_List_Oappend'(
% 0.98/1.36 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.98/1.36 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.98/1.36 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.98/1.36 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP(
% 0.98/1.36 'c_Lambda_Osubst', X ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ), 'c_Suc'(
% 0.98/1.36 T ) ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), Z ), hAPP(
% 0.98/1.36 hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.98/1.36 U ), Z ) ), Y ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.36 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.36 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.36 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat__aux'( 'c_COMBC'(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ), X, X, X )
% 0.98/1.36 , Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.36 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.98/1.36 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.98/1.36 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.98/1.36 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.98/1.36 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.98/1.36 , 'tc_Lambda_OdB' ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.98/1.36 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.98/1.36 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.98/1.36 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.98/1.36 ) ],
% 0.98/1.36 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.98/1.36 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.98/1.36 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.98/1.36 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.98/1.36 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.98/1.36 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OAbs'( X ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.98/1.36 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_OdB_OdB__size'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y )
% 0.98/1.36 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Lambda_OdB_OdB__size'( X ) ),
% 0.98/1.36 'c_Lambda_OdB_OdB__size'( Y ) ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ) ) ) ) ],
% 0.98/1.36 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.36 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.98/1.36 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.36 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OAbs'( X ),
% 0.98/1.36 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.36 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ), 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.36 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.98/1.36 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.98/1.36 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.98/1.36 ],
% 0.98/1.36 [ =( 'c_Nat_Osize__class_Osize'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y
% 0.98/1.36 ), 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.36 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.36 'c_Nat_Osize__class_Osize'( X, 'tc_Lambda_OdB' ) ),
% 0.98/1.36 'c_Nat_Osize__class_Osize'( Y, 'tc_Lambda_OdB' ) ) ), 'c_Suc'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.36 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.98/1.36 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.98/1.36 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.98/1.36 ) ), 'c_Suc'( Z ) ), hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 0.98/1.36 'c_Lambda_Olift', X ), Z ) ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.36 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.36 ), Z ), 'c_Lambda_OdB_OVar'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_List_Otake'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.98/1.36 'c_List_Olist_OCons'( Y, 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( X
% 0.98/1.36 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =( X,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.98/1.36 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.98/1.36 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.36 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 X ), Y ), Z ) ), T ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.98/1.36 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.36 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.98/1.36 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.36 X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.36 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.98/1.36 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.98/1.36 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.98/1.36 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.98/1.36 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.98/1.36 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.36 , Y, X ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.36 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.98/1.36 'c_Lambda_Olift', X ), T ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), T ) ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.36 T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.36 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.98/1.36 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.98/1.36 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.98/1.36 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.36 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.98/1.36 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.36 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.98/1.36 ), Z ) ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.36 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.98/1.36 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.36 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.98/1.36 ), Z ) ) ) ],
% 0.98/1.36 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.98/1.36 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.36 ) ],
% 0.98/1.36 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.98/1.36 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.98/1.36 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.98/1.36 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.98/1.36 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.36 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.98/1.36 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.36 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.98/1.36 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.36 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.98/1.36 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.36 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.98/1.36 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.98/1.36 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.98/1.36 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.98/1.36 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.98/1.36 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.36 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.98/1.36 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.36 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.98/1.36 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.98/1.36 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.98/1.36 ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.36 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.98/1.36 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.36 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.98/1.36 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.36 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.98/1.36 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.98/1.36 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.36 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.98/1.36 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.98/1.36 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.98/1.36 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.98/1.36 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.98/1.36 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T,
% 0.98/1.36 Y, Z ) ) ],
% 0.98/1.36 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.98/1.36 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.98/1.36 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.98/1.36 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.36 X ), Y ), Z ) ), T ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.98/1.36 'c_Lambda_Olift', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.36 , T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( hAPP(
% 0.98/1.36 'c_Lambda_Olift', Y ), T ) ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.98/1.36 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.98/1.36 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.98/1.36 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.98/1.36 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.98/1.36 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.98/1.36 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.98/1.36 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.98/1.36 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.98/1.36 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.98/1.36 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.98/1.36 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.98/1.36 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.98/1.36 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.98/1.36 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.98/1.36 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.98/1.36 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.98/1.36 , Y ) ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.98/1.36 X, T ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.98/1.36 X, T ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.98/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.98/1.36 , 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.98/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.98/1.36 , 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.98/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.98/1.36 ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.98/1.36 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.98/1.36 X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.98/1.36 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.36 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.98/1.36 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.98/1.36 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.98/1.36 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.36 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.36 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.98/1.36 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.98/1.36 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.98/1.36 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.98/1.36 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.36 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.36 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.36 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.36 ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.98/1.36 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.98/1.36 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.36 ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.36 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.98/1.36 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.98/1.36 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.36 ,
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.98/1.36 Y ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.98/1.36 Y ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.36 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.98/1.36 Y ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.98/1.36 Y ) ],
% 0.98/1.36 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.98/1.36 Y ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.98/1.36 Y ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.98/1.36 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.98/1.36 Y ) ],
% 0.98/1.36 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.36 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.36 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.98/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.98/1.36 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.98/1.36 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.98/1.36 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.36 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.36 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.37 ), 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.98/1.37 ), 'tc_nat' ) ) ],
% 0.98/1.37 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.98/1.37 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.98/1.37 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.98/1.37 Z ) ) ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.98/1.37 Z ) ) ) ],
% 0.98/1.37 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.98/1.37 Z, U ), W ) ) ) ],
% 0.98/1.37 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.98/1.37 Z, U ), W ) ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.98/1.37 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.98/1.37 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.98/1.37 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.98/1.37 , Z, U, W ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.98/1.37 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.98/1.37 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.98/1.37 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.98/1.37 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.98/1.37 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.98/1.37 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.98/1.37 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.37 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.98/1.37 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.98/1.37 ), U ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.98/1.37 , 'c_List_Olist_ONil'( T ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.37 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.37 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.98/1.37 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.98/1.37 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.98/1.37 'tc_nat' ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.98/1.37 , 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.98/1.37 , 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.98/1.37 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.98/1.37 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.98/1.37 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.98/1.37 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.98/1.37 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.37 , X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.37 , Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.37 , Y, X ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.37 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.98/1.37 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.37 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.98/1.37 ), Z ) ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.98/1.37 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.98/1.37 ) ],
% 0.98/1.37 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.98/1.37 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.98/1.37 ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.37 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.98/1.37 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.98/1.37 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.98/1.37 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.37 ), =( Z, Y ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.37 ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.98/1.37 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.37 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.37 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.37 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.37 T, X ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.37 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.98/1.37 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.98/1.37 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.37 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.98/1.37 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.98/1.37 'c_List_Olist_ONil'( Y ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.37 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.98/1.37 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.37 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.98/1.37 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.98/1.37 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.98/1.37 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.98/1.37 ), W ), W ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.37 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.98/1.37 ), Y, X ) ), =( Z, T ) ],
% 0.98/1.37 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.98/1.37 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.37 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.37 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.37 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.98/1.37 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.98/1.37 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.98/1.37 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.98/1.37 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.98/1.37 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.37 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.98/1.37 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.98/1.37 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.37 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.37 X ), T, X ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.37 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.37 X ), T, X ) ) ],
% 0.98/1.37 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.98/1.37 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.37 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.37 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.37 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.98/1.37 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.37 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.37 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.37 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.37 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.98/1.37 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.98/1.37 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.37 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.37 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.98/1.37 ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.98/1.37 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.37 , Z ), Y ), 'tc_nat' ) ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.98/1.37 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.98/1.37 ],
% 0.98/1.37 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.98/1.37 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.98/1.37 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.98/1.37 ) ), =( X, T ) ],
% 0.98/1.37 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.98/1.37 ) ), =( Y, U ) ],
% 0.98/1.37 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.98/1.37 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.98/1.37 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.98/1.37 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.98/1.37 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.98/1.37 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.98/1.37 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.98/1.37 , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.98/1.37 , T ) ), =( Y, U ) ],
% 0.98/1.37 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.98/1.37 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.98/1.37 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.98/1.37 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.98/1.37 , V4 ), W ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.98/1.37 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.98/1.37 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.98/1.37 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.98/1.37 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.98/1.37 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.98/1.37 ) ],
% 0.98/1.37 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.98/1.37 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OAbs'( X ) ), Y ),
% 0.98/1.37 'c_Lambda_OdB_OAbs'( hAPP( hAPP( 'c_Lambda_Olift', X ), hAPP( hAPP(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.37 'tc_nat' ) ) ) ) ) ],
% 0.98/1.37 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.98/1.37 , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.98/1.37 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.98/1.37 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.98/1.37 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.37 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.98/1.37 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.98/1.37 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.98/1.37 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.98/1.37 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.98/1.37 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.98/1.37 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.98/1.37 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.98/1.37 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.98/1.37 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.37 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.37 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) )
% 0.98/1.37 , hAPP( Y, 'c_List_Osko__List__Xmap__ext__1__1'( X, Y, Z, T, U ) ) ) ),
% 0.98/1.37 =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.98/1.37 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.98/1.37 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.98/1.37 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.98/1.37 'c_List_Olist_ONil'( Z ) ) ],
% 0.98/1.37 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 0.98/1.37 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.98/1.37 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.98/1.37 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.98/1.37 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.98/1.37 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.98/1.37 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U )
% 0.98/1.37 ), hAPP( Y, 'c_List_Osko__List__Xmap__cong__1__1'( X, Y, Z, T, U ) ) ) )
% 0.98/1.37 , =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ],
% 0.98/1.37 [ ~( =( hAPP( X, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T,
% 0.98/1.37 U ) ), hAPP( Y, 'c_List_Osko__List__Xmap__eq__conv__1__1'( X, Y, Z, T, U
% 0.98/1.37 ) ) ) ), =( 'c_List_Omap'( X, Z, T, U ), 'c_List_Omap'( Y, Z, T, U ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U ), U, W ),
% 0.98/1.37 'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP( X, T ), W )
% 0.98/1.37 ) ],
% 0.98/1.37 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.98/1.37 ), Z, X ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.98/1.37 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.98/1.37 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.98/1.37 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.98/1.37 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.98/1.37 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.98/1.37 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.98/1.37 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.98/1.37 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.98/1.37 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.98/1.37 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.98/1.37 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.98/1.37 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.98/1.37 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.98/1.37 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.98/1.37 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.98/1.37 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.98/1.37 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.98/1.37 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.37 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.98/1.37 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.98/1.37 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.98/1.37 X, U ) ) ],
% 0.98/1.37 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.98/1.37 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.98/1.37 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.98/1.37 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 0.98/1.37 X ) ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_Lambda_OdB_OVar'(
% 0.98/1.37 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.98/1.37 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.98/1.37 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.98/1.37 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ), Z ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.98/1.37 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.98/1.37 ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_Lambda_OdB_OVar'(
% 0.98/1.37 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.98/1.37 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.98/1.37 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.98/1.37 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.98/1.37 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.98/1.37 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.98/1.37 , Z ) ) ],
% 0.98/1.37 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.98/1.37 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.98/1.37 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.98/1.37 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.37 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.98/1.37 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.98/1.37 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.98/1.37 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.98/1.37 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.98/1.37 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OAbs'( X ) ), Y
% 0.98/1.37 ), Z ), 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ),
% 0.98/1.37 hAPP( hAPP( 'c_Lambda_Olift', Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.98/1.37 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 0.98/1.37 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.98/1.37 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.98/1.37 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.98/1.37 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.98/1.37 ],
% 0.98/1.37 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.37 ) ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.98/1.37 hAPP( X, T ) ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.98/1.37 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.98/1.37 , Z ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.98/1.37 hAPP( X, T ) ) ],
% 0.98/1.37 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.98/1.37 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.98/1.37 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.37 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.98/1.37 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.98/1.37 [ =( 'v_n____', 'v_i____' ) ],
% 0.98/1.37 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.98/1.37 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.98/1.37 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.37 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.98/1.37 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.98/1.37 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.37 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.37 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.37 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.37 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.37 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.98/1.37 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 0.98/1.37 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.98/1.37 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.98/1.37 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.98/1.37 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.98/1.37 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.98/1.37 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.98/1.37 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.98/1.37 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.98/1.37 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.98/1.37 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.98/1.37 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.98/1.37 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.98/1.37 , Y ) ],
% 0.98/1.37 [ 'c_Type_Otypings'( X, 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.98/1.37 'c_Lambda_Osubst', Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.98/1.37 'tc_nat', 'tc_Lambda_OdB' ) ), Z, 'tc_Lambda_OdB', 'tc_nat',
% 0.98/1.37 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.98/1.37 'c_Type_Otypings'( 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) )
% 0.98/1.37 , ~( 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.37 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.98/1.37 'tc_nat' ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.37 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.37 Z, X, 'tc_nat' ) ],
% 0.98/1.37 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.98/1.37 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.98/1.37 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.98/1.37 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Y, 'tc_Lambda_OdB', 'tc_nat'
% 0.98/1.37 , 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~(
% 0.98/1.37 'c_Type_Otypings'( X, T, U ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.98/1.37 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.98/1.37 ) ) ],
% 0.98/1.37 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ), X ) ) ],
% 0.98/1.37 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.98/1.37 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ) ) ],
% 0.98/1.37 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.98/1.37 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.98/1.37 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.37 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.98/1.37 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.37 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.98/1.37 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.98/1.37 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.98/1.37 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.98/1.37 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.98/1.37 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.98/1.37 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.98/1.37 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.98/1.37 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.98/1.37 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.98/1.37 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.98/1.37 ) ],
% 0.98/1.37 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.98/1.37 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.98/1.37 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.98/1.37 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.98/1.37 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.98/1.37 ), X ), Y ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.98/1.37 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.98/1.37 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.98/1.37 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.98/1.37 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.98/1.37 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.98/1.37 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.98/1.37 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.98/1.37 , Y ) ],
% 0.98/1.37 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.98/1.37 Z ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.98/1.37 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.98/1.37 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.98/1.37 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.98/1.37 ],
% 0.98/1.37 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.98/1.37 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.98/1.37 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.98/1.37 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.98/1.37 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.98/1.37 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.98/1.37 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.98/1.37 , 'tc_Lambda_OdB' ) ) ],
% 0.98/1.37 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.98/1.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.98/1.37 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.98/1.37 X ), Y ) ), Z ), Y ), X ) ],
% 0.98/1.37 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.98/1.37 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.98/1.37 ) ) ) ],
% 0.98/1.37 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.98/1.37 Z ) ) ) ],
% 0.98/1.37 [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.98/1.37 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.98/1.37 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.98/1.37 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 0.98/1.37 'c_Lambda_Osubst', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.98/1.37 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.98/1.37 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.37 'tc_nat' ), 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'c_List_Omap'(
% 0.98/1.37 'c_COMBC'( 'c_COMBC'( 'c_Lambda_Osubst', 'v_u____', 'tc_Lambda_OdB',
% 0.98/1.37 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat', 'tc_Lambda_OdB' ) ), 'v_i____',
% 0.98/1.37 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), 'v_as____', 'tc_Lambda_OdB'
% 0.98/1.37 , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.98/1.37 , 'tc_Lambda_OdB' ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'v_u____' ), hAPP(
% 0.98/1.37 hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ), 'v_u____' ), 'v_i____' ) ) )
% 0.98/1.37 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 0.98/1.37 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.37 'class_Orderings_Opreorder'( Y ) ) ],
% 0.98/1.37 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.98/1.37 'class_Orderings_Oorder'( Y ) ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.98/1.37 ],
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.98/1.37 ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.98/1.37 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.98/1.37 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.98/1.37 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.98/1.37 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.98/1.37 ],
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.98/1.37 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.98/1.37 ,
% 0.98/1.37 [ =( 'c_COMBB'( X, Y, Z, T, U, W ), hAPP( X, hAPP( Y, Z ) ) ) ],
% 0.98/1.37 [ 'c_fequal'( X, X, Y ) ],
% 0.98/1.37 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.98/1.37 ] .
% 0.98/1.37
% 0.98/1.37
% 0.98/1.37 percentage equality = 0.346091, percentage horn = 0.892548
% 0.98/1.37 This is a problem with some equality
% 0.98/1.37
% 0.98/1.37
% 0.98/1.37
% 0.98/1.37 Options Used:
% 0.98/1.37
% 0.98/1.37 useres = 1
% 0.98/1.37 useparamod = 1
% 0.98/1.37 useeqrefl = 1
% 0.98/1.37 useeqfact = 1
% 0.98/1.37 usefactor = 1
% 0.98/1.37 usesimpsplitting = 0
% 0.98/1.37 usesimpdemod = 5
% 0.98/1.37 usesimpres = 3
% 0.98/1.37
% 0.98/1.37 resimpinuse = 1000
% 0.98/1.37 resimpclauses = 20000
% 0.98/1.37 substype = eqrewr
% 0.98/1.37 backwardsubs = 1
% 0.98/1.37 selectoldest = 5
% 0.98/1.37
% 0.98/1.37 litorderings [0] = split
% 0.98/1.37 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.37
% 0.98/1.37 termordering = kbo
% 0.98/1.37
% 0.98/1.37 litapriori = 0
% 0.98/1.37 termapriori = 1
% 0.98/1.37 litaposteriori = 0
% 0.98/1.37 termaposteriori = 0
% 0.98/1.37 demodaposteriori = 0
% 0.98/1.37 ordereqreflfact = 0
% 0.98/1.37
% 0.98/1.37 litselect = negord
% 0.98/1.37
% 0.98/1.37 maxweight = 15
% 0.98/1.37 maxdepth = 30000
% 0.98/1.37 maxlength = 115
% 0.98/1.37 maxnrvars = 195
% 0.98/1.37 excuselevel = 1
% 0.98/1.37 increasemaxweight = 1
% 0.98/1.37
% 0.98/1.37 maxselected = 10000000
% 0.98/1.37 maxnrclauses = 10000000
% 0.98/1.37
% 0.98/1.37 showgenerated = 0
% 0.98/1.37 showkept = 0
% 0.98/1.37 showselected = 0
% 0.98/1.37 showdeleted = 0
% 0.98/1.37 showresimp = 1
% 0.98/1.37 showstatus = 2000
% 0.98/1.37
% 0.98/1.37 prologoutput = 1
% 0.98/1.37 nrgoals = 5000000
% 0.98/1.37 totalproof = 1
% 0.98/1.37
% 0.98/1.37 Symbols occurring in the translation:
% 0.98/1.37
% 0.98/1.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.37 . [1, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.98/1.37 ! [4, 1] (w:0, o:115, a:1, s:1, b:0),
% 0.98/1.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.37 'class_Orderings_Olinorder' [40, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.98/1.37 'class_Int_Onumber' [41, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.98/1.37 'c_Int_Onumber__class_Onumber__of' [43, 2] (w:1, o:203, a:1, s:1, b:0
% 0.98/1.37 ),
% 0.98/1.37 'c_lessequals' [45, 3] (w:1, o:210, a:1, s:1, b:0),
% 0.98/1.37 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:211, a:1, s:1, b:0),
% 0.98/1.37 'c_Type_Otype_OFun' [47, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.98/1.37 hAPP [49, 2] (w:1, o:204, a:1, s:1, b:0),
% 0.98/1.37 'c_Suc' [54, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.98/1.37 'class_Orderings_Oorder' [55, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.98/1.37 'class_Orderings_Opreorder' [59, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.98/1.37 'class_OrderedGroup_Opordered__ab__group__add' [60, 1] (w:1, o:126
% 0.98/1.37 , a:1, s:1, b:0),
% 0.98/1.37 'c_HOL_Oplus__class_Oplus' [62, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.98/1.37 'tc_nat' [67, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.98/1.37 'c_HOL_Ozero__class_Ozero' [68, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.98/1.37 'c_HOL_Ominus__class_Ominus' [69, 3] (w:1, o:212, a:1, s:1, b:0),
% 0.98/1.37 'c_HOL_Oone__class_Oone' [73, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.98/1.37 'class_OrderedGroup_Opordered__comm__monoid__add' [74, 1] (w:1, o:130
% 0.98/1.37 , a:1, s:1, b:0),
% 0.98/1.37 'class_OrderedGroup_Olordered__ab__group__add' [75, 1] (w:1, o:131
% 0.98/1.37 , a:1, s:1, b:0),
% 0.98/1.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [76, 1]
% 0.98/1.37 (w:1, o:132, a:1, s:1, b:0),
% 0.98/1.37 'class_OrderedGroup_Ocomm__monoid__add' [77, 1] (w:1, o:133, a:1, s:1
% 0.98/1.37 , b:0),
% 0.98/1.37 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [78, 1]
% 0.98/1.37 (w:1, o:134, a:1, s:1, b:0),
% 0.98/1.37 'class_Ring__and__Field_Oordered__semidom' [79, 1] (w:1, o:137, a:1
% 0.98/1.37 , s:1, b:0),
% 0.98/1.37 'c_Nat_Osemiring__1__class_Oof__nat' [80, 2] (w:1, o:205, a:1, s:1
% 0.98/1.37 , b:0),
% 0.98/1.37 hBOOL [82, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.98/1.37 'c_Power_Opower__class_Opower' [83, 3] (w:1, o:214, a:1, s:1, b:0),
% 0.98/1.37 'class_Ring__and__Field_Osemiring__0' [84, 1] (w:1, o:140, a:1, s:1
% 0.98/1.37 , b:0),
% 0.98/1.37 'class_Power_Opower' [85, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.98/1.37 'c_List_Olist_OCons' [89, 3] (w:1, o:215, a:1, s:1, b:0),
% 0.98/1.37 'c_List_Otake' [90, 3] (w:1, o:216, a:1, s:1, b:0),
% 0.98/1.37 'c_Lambda_OdB_OVar' [91, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.98/1.37 'c_Lambda_Oliftn' [92, 3] (w:1, o:217, a:1, s:1, b:0),
% 1.87/2.22 'c_List_Olist__update' [93, 4] (w:1, o:225, a:1, s:1, b:0),
% 1.87/2.22 'c_Lambda_OdB_OApp' [95, 0] (w:1, o:65, a:1, s:1, b:0),
% 1.87/2.22 'c_Type_Otyping' [99, 3] (w:1, o:218, a:1, s:1, b:0),
% 1.87/2.22 'c_Type_Oshift' [102, 4] (w:1, o:226, a:1, s:1, b:0),
% 1.87/2.22 'class_OrderedGroup_Opordered__ab__semigroup__add' [103, 1] (w:1, o:
% 1.87/2.22 141, a:1, s:1, b:0),
% 1.87/2.22 'c_Lambda_Olift' [106, 0] (w:1, o:73, a:1, s:1, b:0),
% 1.87/2.22 'class_OrderedGroup_Ogroup__add' [108, 1] (w:1, o:142, a:1, s:1, b:0)
% 1.87/2.22 ,
% 1.87/2.22 'class_Ring__and__Field_Osemiring__1' [109, 1] (w:1, o:152, a:1, s:1
% 1.87/2.22 , b:0),
% 1.87/2.22 'c_Nat_Osemiring__1__class_Oof__nat__aux' [111, 4] (w:1, o:227, a:1
% 1.87/2.22 , s:1, b:0),
% 1.87/2.22 'class_OrderedGroup_Oab__group__add' [112, 1] (w:1, o:143, a:1, s:1
% 1.87/2.22 , b:0),
% 1.87/2.22 'class_Int_Oring__char__0' [114, 1] (w:1, o:153, a:1, s:1, b:0),
% 1.87/2.22 'class_Int_Onumber__ring' [115, 1] (w:1, o:154, a:1, s:1, b:0),
% 1.87/2.22 'class_Ring__and__Field_Oidom' [116, 1] (w:1, o:155, a:1, s:1, b:0),
% 1.87/2.22
% 1.87/2.22 'c_Lambda_OdB_OAbs' [117, 1] (w:1, o:156, a:1, s:1, b:0),
% 1.87/2.22 'c_Lambda_Osubstn' [118, 3] (w:1, o:219, a:1, s:1, b:0),
% 1.87/2.22 'c_Lambda_Osubst' [119, 0] (w:1, o:74, a:1, s:1, b:0),
% 1.87/2.22 'class_OrderedGroup_Oab__semigroup__add' [120, 1] (w:1, o:144, a:1
% 1.87/2.22 , s:1, b:0),
% 1.87/2.22 'class_Ring__and__Field_Ocomm__semiring__1' [121, 1] (w:1, o:157, a:1
% 1.87/2.22 , s:1, b:0),
% 1.87/2.22 'c_ListOrder_Ostep1' [124, 4] (w:1, o:228, a:1, s:1, b:0),
% 1.87/2.22 'c_List_Oappend' [125, 3] (w:1, o:220, a:1, s:1, b:0),
% 1.87/2.22 'c_List_Olist_ONil' [128, 1] (w:1, o:158, a:1, s:1, b:0),
% 1.87/2.22 'c_Lambda_Obeta' [129, 0] (w:1, o:75, a:1, s:1, b:0),
% 1.87/2.22 'tc_Lambda_OdB' [130, 0] (w:1, o:76, a:1, s:1, b:0),
% 1.87/2.22 'c_Transitive__Closure_Ortranclp' [131, 2] (w:1, o:206, a:1, s:1, b:0
% 1.87/2.22 ),
% 1.87/2.22 'c_List_Olistsp' [134, 3] (w:1, o:221, a:1, s:1, b:0),
% 1.87/2.22 'c_Lambda_OdB_OdB__case' [139, 5] (w:1, o:235, a:1, s:1, b:0),
% 1.87/2.22 'c_InductTermi_OIT' [141, 0] (w:1, o:83, a:1, s:1, b:0),
% 1.87/2.22 'v_sko__InductTermi__XIT__Xcases__5' [142, 1] (w:1, o:160, a:1, s:1
% 1.87/2.22 , b:0),
% 1.87/2.22 'v_sko__InductTermi__XIT__Xcases__3' [143, 1] (w:1, o:162, a:1, s:1
% 1.87/2.22 , b:0),
% 1.87/2.22 'v_sko__InductTermi__XIT__Xcases__1' [144, 1] (w:1, o:163, a:1, s:1
% 1.87/2.22 , b:0),
% 1.87/2.22 'class_Nat_Osemiring__char__0' [146, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.87/2.22
% 1.87/2.22 'c_Fun_Ocomp' [151, 5] (w:1, o:236, a:1, s:1, b:0),
% 1.87/2.22 'class_OrderedGroup_Omonoid__mult' [152, 1] (w:1, o:145, a:1, s:1, b:
% 1.87/2.22 0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3' [153, 1
% 1.87/2.22 ] (w:1, o:165, a:1, s:1, b:0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4' [154, 1
% 1.87/2.22 ] (w:1, o:166, a:1, s:1, b:0),
% 1.87/2.22 'c_List_Ofoldl' [155, 5] (w:1, o:237, a:1, s:1, b:0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1' [156, 1
% 1.87/2.22 ] (w:1, o:167, a:1, s:1, b:0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2' [157, 1
% 1.87/2.22 ] (w:1, o:164, a:1, s:1, b:0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__Xlem__1__3' [158, 1] (w:1
% 1.87/2.22 , o:169, a:1, s:1, b:0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__Xlem__1__4' [159, 1] (w:1
% 1.87/2.22 , o:170, a:1, s:1, b:0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__Xlem__1__1' [160, 1] (w:1
% 1.87/2.22 , o:171, a:1, s:1, b:0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__Xlem__1__2' [161, 1] (w:1
% 1.87/2.22 , o:168, a:1, s:1, b:0),
% 1.87/2.22 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 1.87/2.22 163, 4] (w:1, o:229, a:1, s:1, b:0),
% 1.87/2.22 'c_COMBC' [165, 5] (w:1, o:238, a:1, s:1, b:0),
% 1.87/2.22 'c_Lambda_OdB_OdB__size' [166, 1] (w:1, o:172, a:1, s:1, b:0),
% 1.87/2.22 'c_Nat_Osize__class_Osize' [169, 2] (w:1, o:207, a:1, s:1, b:0),
% 1.87/2.22 'tc_Type_Otype' [170, 0] (w:1, o:90, a:1, s:1, b:0),
% 1.87/2.22 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [171, 4] (w:1, o:231, a:
% 1.87/2.22 1, s:1, b:0),
% 1.87/2.22 'c_Type_Otypings' [172, 3] (w:1, o:222, a:1, s:1, b:0),
% 1.87/2.22 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [173, 4] (w:1, o:230, a:
% 1.87/2.22 1, s:1, b:0),
% 1.87/2.22 'v_sko__InductTermi__XIT__Xcases__4' [175, 1] (w:1, o:159, a:1, s:1
% 1.87/2.22 , b:0),
% 1.87/2.22 'v_sko__InductTermi__XIT__Xcases__6' [176, 1] (w:1, o:173, a:1, s:1
% 8.95/9.36 , b:0),
% 8.95/9.36 'class_OrderedGroup_Ocancel__ab__semigroup__add' [177, 1] (w:1, o:146
% 8.95/9.36 , a:1, s:1, b:0),
% 8.95/9.36 'class_OrderedGroup_Ocancel__semigroup__add' [178, 1] (w:1, o:147, a:
% 8.95/9.36 1, s:1, b:0),
% 8.95/9.36 'v_sko__InductTermi__XIT__Xcases__2' [182, 1] (w:1, o:161, a:1, s:1
% 8.95/9.36 , b:0),
% 8.95/9.36 'c_OrderedGroup_Omonoid__add' [186, 3] (w:1, o:213, a:1, s:1, b:0),
% 8.95/9.36 'class_Ring__and__Field_Ozero__neq__one' [187, 1] (w:1, o:174, a:1
% 8.95/9.36 , s:1, b:0),
% 8.95/9.36 'class_Ring__and__Field_Ono__zero__divisors' [188, 1] (w:1, o:136, a:
% 8.95/9.36 1, s:1, b:0),
% 8.95/9.36 'class_Ring__and__Field_Omult__zero' [189, 1] (w:1, o:135, a:1, s:1
% 8.95/9.36 , b:0),
% 8.95/9.36 'class_Ring__and__Field_Oring__1__no__zero__divisors' [190, 1] (w:1
% 8.95/9.36 , o:139, a:1, s:1, b:0),
% 8.95/9.36 'class_OrderedGroup_Omonoid__add' [191, 1] (w:1, o:148, a:1, s:1, b:0
% 8.95/9.36 ),
% 8.95/9.36 't_a' [195, 0] (w:1, o:93, a:1, s:1, b:0),
% 8.95/9.36 'c_Lambda_OdB_OdB__rec' [196, 5] (w:1, o:239, a:1, s:1, b:0),
% 8.95/9.36 'c_List_Omap' [197, 4] (w:1, o:232, a:1, s:1, b:0),
% 8.95/9.36 'class_Ring__and__Field_Oordered__idom' [198, 1] (w:1, o:175, a:1, s:
% 8.95/9.36 1, b:0),
% 8.95/9.36 'c_OrderedGroup_Osemigroup__add' [199, 2] (w:1, o:208, a:1, s:1, b:0)
% 8.95/9.36 ,
% 8.95/9.36 'class_OrderedGroup_Osemigroup__add' [202, 1] (w:1, o:149, a:1, s:1
% 8.95/9.36 , b:0),
% 8.95/9.36 'c_List_Osko__List__Xmap__ext__1__1' [208, 5] (w:1, o:240, a:1, s:1
% 8.95/9.36 , b:0),
% 8.95/9.36 'c_List_Osko__List__Xmap__cong__1__1' [209, 5] (w:1, o:241, a:1, s:1
% 8.95/9.36 , b:0),
% 8.95/9.36 'c_List_Osko__List__Xmap__eq__conv__1__1' [210, 5] (w:1, o:242, a:1
% 8.95/9.36 , s:1, b:0),
% 8.95/9.36 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2' [213, 1
% 8.95/9.36 ] (w:1, o:177, a:1, s:1, b:0),
% 8.95/9.36 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1' [214, 1
% 8.95/9.36 ] (w:1, o:176, a:1, s:1, b:0),
% 8.95/9.36 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [215, 4] (w:1, o:233, a:
% 8.95/9.36 1, s:1, b:0),
% 8.95/9.36 'c_Type_Osko__Type__Xvar__app__types__1__1' [216, 4] (w:1, o:234, a:1
% 8.95/9.36 , s:1, b:0),
% 8.95/9.36 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [218, 3] (w:
% 8.95/9.36 1, o:223, a:1, s:1, b:0),
% 8.95/9.36 'v_ua______' [220, 0] (w:1, o:96, a:1, s:1, b:0),
% 8.95/9.36 'v_n____' [221, 0] (w:1, o:97, a:1, s:1, b:0),
% 8.95/9.36 'v_i____' [222, 0] (w:1, o:98, a:1, s:1, b:0),
% 8.95/9.36 'v_rs____' [223, 0] (w:1, o:99, a:1, s:1, b:0),
% 8.95/9.36 'v_a____' [224, 0] (w:1, o:100, a:1, s:1, b:0),
% 8.95/9.36 'v_as____' [225, 0] (w:1, o:101, a:1, s:1, b:0),
% 8.95/9.36 'tc_fun' [226, 2] (w:1, o:209, a:1, s:1, b:0),
% 8.95/9.36 'v_u____' [231, 0] (w:1, o:104, a:1, s:1, b:0),
% 8.95/9.36 'v_T____' [232, 0] (w:1, o:105, a:1, s:1, b:0),
% 8.95/9.36 'v_T_H_H____' [233, 0] (w:1, o:106, a:1, s:1, b:0),
% 8.95/9.36 'v_Ts____' [234, 0] (w:1, o:107, a:1, s:1, b:0),
% 8.95/9.36 'v_T_H____' [235, 0] (w:1, o:108, a:1, s:1, b:0),
% 8.95/9.36 'c_List_Ofoldr' [236, 5] (w:1, o:243, a:1, s:1, b:0),
% 8.95/9.36 'tc_bool' [239, 0] (w:1, o:111, a:1, s:1, b:0),
% 8.95/9.36 'tc_Int_Oint' [240, 0] (w:1, o:112, a:1, s:1, b:0),
% 8.95/9.36 'c_COMBB' [241, 6] (w:1, o:244, a:1, s:1, b:0),
% 8.95/9.36 'c_fequal' [242, 3] (w:1, o:224, a:1, s:1, b:0).
% 8.95/9.36
% 8.95/9.36
% 8.95/9.36 Starting Search:
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36
% 8.95/9.36 Intermediate Status:
% 8.95/9.36 Generated: 4619
% 8.95/9.36 Kept: 2012
% 8.95/9.36 Inuse: 141
% 8.95/9.36 Deleted: 4
% 8.95/9.36 Deletedinuse: 0
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36
% 8.95/9.36 Intermediate Status:
% 8.95/9.36 Generated: 10502
% 8.95/9.36 Kept: 4054
% 8.95/9.36 Inuse: 226
% 8.95/9.36 Deleted: 5
% 8.95/9.36 Deletedinuse: 0
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36
% 8.95/9.36 Intermediate Status:
% 8.95/9.36 Generated: 17769
% 8.95/9.36 Kept: 6063
% 8.95/9.36 Inuse: 368
% 8.95/9.36 Deleted: 15
% 8.95/9.36 Deletedinuse: 1
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36
% 8.95/9.36 Intermediate Status:
% 8.95/9.36 Generated: 27319
% 8.95/9.36 Kept: 8784
% 8.95/9.36 Inuse: 426
% 8.95/9.36 Deleted: 16
% 8.95/9.36 Deletedinuse: 1
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36
% 8.95/9.36 Intermediate Status:
% 8.95/9.36 Generated: 34875
% 8.95/9.36 Kept: 10802
% 8.95/9.36 Inuse: 476
% 8.95/9.36 Deleted: 26
% 8.95/9.36 Deletedinuse: 6
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36
% 8.95/9.36 Intermediate Status:
% 8.95/9.36 Generated: 44703
% 8.95/9.36 Kept: 12996
% 8.95/9.36 Inuse: 528
% 8.95/9.36 Deleted: 30
% 8.95/9.36 Deletedinuse: 7
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36 Resimplifying inuse:
% 8.95/9.36 Done
% 8.95/9.36
% 8.95/9.36
% 8.95/9.36 Intermediate Status:
% 8.95/9.36 Generated: 59239
% 8.95/9.36 Kept: 15629
% 8.95/9.36 Inuse: 603
% 31.48/31.87 Deleted: 31
% 31.48/31.87 Deletedinuse: 8
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 66316
% 31.48/31.87 Kept: 18692
% 31.48/31.87 Inuse: 613
% 31.48/31.87 Deleted: 35
% 31.48/31.87 Deletedinuse: 12
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying clauses:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 78011
% 31.48/31.87 Kept: 20714
% 31.48/31.87 Inuse: 651
% 31.48/31.87 Deleted: 585
% 31.48/31.87 Deletedinuse: 13
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 86935
% 31.48/31.87 Kept: 22719
% 31.48/31.87 Inuse: 710
% 31.48/31.87 Deleted: 588
% 31.48/31.87 Deletedinuse: 16
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 99702
% 31.48/31.87 Kept: 25591
% 31.48/31.87 Inuse: 757
% 31.48/31.87 Deleted: 588
% 31.48/31.87 Deletedinuse: 16
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 115136
% 31.48/31.87 Kept: 28005
% 31.48/31.87 Inuse: 771
% 31.48/31.87 Deleted: 588
% 31.48/31.87 Deletedinuse: 16
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 127759
% 31.48/31.87 Kept: 30377
% 31.48/31.87 Inuse: 786
% 31.48/31.87 Deleted: 588
% 31.48/31.87 Deletedinuse: 16
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 136728
% 31.48/31.87 Kept: 32513
% 31.48/31.87 Inuse: 821
% 31.48/31.87 Deleted: 588
% 31.48/31.87 Deletedinuse: 16
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 152042
% 31.48/31.87 Kept: 35669
% 31.48/31.87 Inuse: 861
% 31.48/31.87 Deleted: 589
% 31.48/31.87 Deletedinuse: 17
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 162064
% 31.48/31.87 Kept: 38020
% 31.48/31.87 Inuse: 876
% 31.48/31.87 Deleted: 589
% 31.48/31.87 Deletedinuse: 17
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 171417
% 31.48/31.87 Kept: 40166
% 31.48/31.87 Inuse: 916
% 31.48/31.87 Deleted: 589
% 31.48/31.87 Deletedinuse: 17
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying clauses:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 183437
% 31.48/31.87 Kept: 42237
% 31.48/31.87 Inuse: 946
% 31.48/31.87 Deleted: 840
% 31.48/31.87 Deletedinuse: 17
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 194466
% 31.48/31.87 Kept: 44270
% 31.48/31.87 Inuse: 981
% 31.48/31.87 Deleted: 841
% 31.48/31.87 Deletedinuse: 18
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 214300
% 31.48/31.87 Kept: 46889
% 31.48/31.87 Inuse: 1006
% 31.48/31.87 Deleted: 842
% 31.48/31.87 Deletedinuse: 19
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 232131
% 31.48/31.87 Kept: 50857
% 31.48/31.87 Inuse: 1043
% 31.48/31.87 Deleted: 844
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 247938
% 31.48/31.87 Kept: 54048
% 31.48/31.87 Inuse: 1061
% 31.48/31.87 Deleted: 844
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 261440
% 31.48/31.87 Kept: 56075
% 31.48/31.87 Inuse: 1079
% 31.48/31.87 Deleted: 844
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 279343
% 31.48/31.87 Kept: 58186
% 31.48/31.87 Inuse: 1086
% 31.48/31.87 Deleted: 844
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 298190
% 31.48/31.87 Kept: 60362
% 31.48/31.87 Inuse: 1096
% 31.48/31.87 Deleted: 844
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying clauses:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 316726
% 31.48/31.87 Kept: 63415
% 31.48/31.87 Inuse: 1106
% 31.48/31.87 Deleted: 947
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 328586
% 31.48/31.87 Kept: 65419
% 31.48/31.87 Inuse: 1135
% 31.48/31.87 Deleted: 947
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 344097
% 31.48/31.87 Kept: 68653
% 31.48/31.87 Inuse: 1151
% 31.48/31.87 Deleted: 947
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 358066
% 31.48/31.87 Kept: 72308
% 31.48/31.87 Inuse: 1174
% 31.48/31.87 Deleted: 947
% 31.48/31.87 Deletedinuse: 21
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 364067
% 31.48/31.87 Kept: 74465
% 31.48/31.87 Inuse: 1179
% 31.48/31.87 Deleted: 960
% 31.48/31.87 Deletedinuse: 22
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87 Resimplifying inuse:
% 31.48/31.87 Done
% 31.48/31.87
% 31.48/31.87
% 31.48/31.87 Intermediate Status:
% 31.48/31.87 Generated: 374459
% 31.48/31.87 Kept: 77198
% 31.48/31.87 Inuse: 1182
% 31.48/31.87 Deleted: 972
% 68.53/68.89 Deletedinuse: 22
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 383794
% 68.53/68.89 Kept: 79551
% 68.53/68.89 Inuse: 1184
% 68.53/68.89 Deleted: 980
% 68.53/68.89 Deletedinuse: 22
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying clauses:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 395398
% 68.53/68.89 Kept: 84076
% 68.53/68.89 Inuse: 1205
% 68.53/68.89 Deleted: 3352
% 68.53/68.89 Deletedinuse: 23
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 407174
% 68.53/68.89 Kept: 86671
% 68.53/68.89 Inuse: 1215
% 68.53/68.89 Deleted: 3353
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 416817
% 68.53/68.89 Kept: 88914
% 68.53/68.89 Inuse: 1230
% 68.53/68.89 Deleted: 3353
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 425365
% 68.53/68.89 Kept: 91294
% 68.53/68.89 Inuse: 1254
% 68.53/68.89 Deleted: 3354
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 433883
% 68.53/68.89 Kept: 93384
% 68.53/68.89 Inuse: 1269
% 68.53/68.89 Deleted: 3354
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 450981
% 68.53/68.89 Kept: 96775
% 68.53/68.89 Inuse: 1294
% 68.53/68.89 Deleted: 3354
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 458112
% 68.53/68.89 Kept: 99367
% 68.53/68.89 Inuse: 1304
% 68.53/68.89 Deleted: 3354
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying clauses:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 468609
% 68.53/68.89 Kept: 103360
% 68.53/68.89 Inuse: 1309
% 68.53/68.89 Deleted: 3605
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 476296
% 68.53/68.89 Kept: 105363
% 68.53/68.89 Inuse: 1327
% 68.53/68.89 Deleted: 3605
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 485686
% 68.53/68.89 Kept: 107563
% 68.53/68.89 Inuse: 1329
% 68.53/68.89 Deleted: 3605
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 509298
% 68.53/68.89 Kept: 110566
% 68.53/68.89 Inuse: 1344
% 68.53/68.89 Deleted: 3605
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 522335
% 68.53/68.89 Kept: 112573
% 68.53/68.89 Inuse: 1353
% 68.53/68.89 Deleted: 3605
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 531096
% 68.53/68.89 Kept: 114667
% 68.53/68.89 Inuse: 1374
% 68.53/68.89 Deleted: 3605
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 541525
% 68.53/68.89 Kept: 116766
% 68.53/68.89 Inuse: 1394
% 68.53/68.89 Deleted: 3605
% 68.53/68.89 Deletedinuse: 24
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 584364
% 68.53/68.89 Kept: 121978
% 68.53/68.89 Inuse: 1404
% 68.53/68.89 Deleted: 3607
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying clauses:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 602006
% 68.53/68.89 Kept: 124034
% 68.53/68.89 Inuse: 1424
% 68.53/68.89 Deleted: 3814
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 613071
% 68.53/68.89 Kept: 126147
% 68.53/68.89 Inuse: 1449
% 68.53/68.89 Deleted: 3814
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 627012
% 68.53/68.89 Kept: 131588
% 68.53/68.89 Inuse: 1469
% 68.53/68.89 Deleted: 3814
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 634355
% 68.53/68.89 Kept: 135720
% 68.53/68.89 Inuse: 1474
% 68.53/68.89 Deleted: 3814
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 643747
% 68.53/68.89 Kept: 138095
% 68.53/68.89 Inuse: 1483
% 68.53/68.89 Deleted: 3814
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 653404
% 68.53/68.89 Kept: 140284
% 68.53/68.89 Inuse: 1499
% 68.53/68.89 Deleted: 3814
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying clauses:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 665908
% 68.53/68.89 Kept: 142468
% 68.53/68.89 Inuse: 1519
% 68.53/68.89 Deleted: 3990
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 68.53/68.89 Generated: 684645
% 68.53/68.89 Kept: 145707
% 68.53/68.89 Inuse: 1529
% 68.53/68.89 Deleted: 3990
% 68.53/68.89 Deletedinuse: 26
% 68.53/68.89
% 68.53/68.89 Resimplifying inuse:
% 68.53/68.89 Done
% 68.53/68.89
% 68.53/68.89
% 68.53/68.89 Intermediate Status:
% 156.81/157.25 Generated: 698952
% 156.81/157.25 Kept: 147823
% 156.81/157.25 Inuse: 1534
% 156.81/157.25 Deleted: 3990
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 719924
% 156.81/157.25 Kept: 150535
% 156.81/157.25 Inuse: 1554
% 156.81/157.25 Deleted: 3990
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 731471
% 156.81/157.25 Kept: 153004
% 156.81/157.25 Inuse: 1562
% 156.81/157.25 Deleted: 3990
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 748079
% 156.81/157.25 Kept: 155128
% 156.81/157.25 Inuse: 1569
% 156.81/157.25 Deleted: 3990
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 768896
% 156.81/157.25 Kept: 157157
% 156.81/157.25 Inuse: 1585
% 156.81/157.25 Deleted: 3990
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 783510
% 156.81/157.25 Kept: 159766
% 156.81/157.25 Inuse: 1609
% 156.81/157.25 Deleted: 3990
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 800387
% 156.81/157.25 Kept: 161952
% 156.81/157.25 Inuse: 1639
% 156.81/157.25 Deleted: 3990
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying clauses:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 809546
% 156.81/157.25 Kept: 164382
% 156.81/157.25 Inuse: 1644
% 156.81/157.25 Deleted: 4149
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 822603
% 156.81/157.25 Kept: 166415
% 156.81/157.25 Inuse: 1663
% 156.81/157.25 Deleted: 4149
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 838381
% 156.81/157.25 Kept: 170046
% 156.81/157.25 Inuse: 1674
% 156.81/157.25 Deleted: 4149
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 850450
% 156.81/157.25 Kept: 172102
% 156.81/157.25 Inuse: 1679
% 156.81/157.25 Deleted: 4149
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 864530
% 156.81/157.25 Kept: 174115
% 156.81/157.25 Inuse: 1705
% 156.81/157.25 Deleted: 4149
% 156.81/157.25 Deletedinuse: 26
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 879886
% 156.81/157.25 Kept: 176477
% 156.81/157.25 Inuse: 1729
% 156.81/157.25 Deleted: 4150
% 156.81/157.25 Deletedinuse: 27
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 888467
% 156.81/157.25 Kept: 178713
% 156.81/157.25 Inuse: 1739
% 156.81/157.25 Deleted: 4150
% 156.81/157.25 Deletedinuse: 27
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 904600
% 156.81/157.25 Kept: 183997
% 156.81/157.25 Inuse: 1754
% 156.81/157.25 Deleted: 4150
% 156.81/157.25 Deletedinuse: 27
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying clauses:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 913861
% 156.81/157.25 Kept: 186299
% 156.81/157.25 Inuse: 1769
% 156.81/157.25 Deleted: 4408
% 156.81/157.25 Deletedinuse: 27
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 929686
% 156.81/157.25 Kept: 189179
% 156.81/157.25 Inuse: 1779
% 156.81/157.25 Deleted: 4408
% 156.81/157.25 Deletedinuse: 27
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 943205
% 156.81/157.25 Kept: 191271
% 156.81/157.25 Inuse: 1789
% 156.81/157.25 Deleted: 4408
% 156.81/157.25 Deletedinuse: 27
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 962339
% 156.81/157.25 Kept: 194919
% 156.81/157.25 Inuse: 1804
% 156.81/157.25 Deleted: 4409
% 156.81/157.25 Deletedinuse: 28
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 983387
% 156.81/157.25 Kept: 196942
% 156.81/157.25 Inuse: 1811
% 156.81/157.25 Deleted: 4409
% 156.81/157.25 Deletedinuse: 28
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 1004577
% 156.81/157.25 Kept: 198948
% 156.81/157.25 Inuse: 1818
% 156.81/157.25 Deleted: 4409
% 156.81/157.25 Deletedinuse: 28
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 1016915
% 156.81/157.25 Kept: 201519
% 156.81/157.25 Inuse: 1829
% 156.81/157.25 Deleted: 4409
% 156.81/157.25 Deletedinuse: 28
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 1037776
% 156.81/157.25 Kept: 204954
% 156.81/157.25 Inuse: 1834
% 156.81/157.25 Deleted: 4409
% 156.81/157.25 Deletedinuse: 28
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying clauses:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 1071620
% 156.81/157.25 Kept: 208587
% 156.81/157.25 Inuse: 1854
% 156.81/157.25 Deleted: 4601
% 156.81/157.25 Deletedinuse: 28
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 156.81/157.25 Done
% 156.81/157.25
% 156.81/157.25
% 156.81/157.25 Intermediate Status:
% 156.81/157.25 Generated: 1088891
% 156.81/157.25 Kept: 211618
% 156.81/157.25 Inuse: 1864
% 156.81/157.25 Deleted: 4601
% 156.81/157.25 Deletedinuse: 28
% 156.81/157.25
% 156.81/157.25 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1109147
% 235.40/235.79 Kept: 214184
% 235.40/235.79 Inuse: 1884
% 235.40/235.79 Deleted: 4601
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1135955
% 235.40/235.79 Kept: 217311
% 235.40/235.79 Inuse: 1894
% 235.40/235.79 Deleted: 4601
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1157131
% 235.40/235.79 Kept: 219380
% 235.40/235.79 Inuse: 1899
% 235.40/235.79 Deleted: 4601
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1170959
% 235.40/235.79 Kept: 221393
% 235.40/235.79 Inuse: 1912
% 235.40/235.79 Deleted: 4601
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1189259
% 235.40/235.79 Kept: 223552
% 235.40/235.79 Inuse: 1914
% 235.40/235.79 Deleted: 4601
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1210368
% 235.40/235.79 Kept: 225825
% 235.40/235.79 Inuse: 1919
% 235.40/235.79 Deleted: 4601
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying clauses:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1223361
% 235.40/235.79 Kept: 228272
% 235.40/235.79 Inuse: 1924
% 235.40/235.79 Deleted: 4731
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1238090
% 235.40/235.79 Kept: 230617
% 235.40/235.79 Inuse: 1939
% 235.40/235.79 Deleted: 4731
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1271618
% 235.40/235.79 Kept: 234445
% 235.40/235.79 Inuse: 1954
% 235.40/235.79 Deleted: 4731
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1285783
% 235.40/235.79 Kept: 236475
% 235.40/235.79 Inuse: 1968
% 235.40/235.79 Deleted: 4731
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1320392
% 235.40/235.79 Kept: 238476
% 235.40/235.79 Inuse: 1998
% 235.40/235.79 Deleted: 4731
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1392340
% 235.40/235.79 Kept: 240502
% 235.40/235.79 Inuse: 2033
% 235.40/235.79 Deleted: 4731
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1522616
% 235.40/235.79 Kept: 242528
% 235.40/235.79 Inuse: 2073
% 235.40/235.79 Deleted: 4731
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1660537
% 235.40/235.79 Kept: 244547
% 235.40/235.79 Inuse: 2115
% 235.40/235.79 Deleted: 4731
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying clauses:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1796943
% 235.40/235.79 Kept: 246565
% 235.40/235.79 Inuse: 2175
% 235.40/235.79 Deleted: 5422
% 235.40/235.79 Deletedinuse: 28
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 1995003
% 235.40/235.79 Kept: 248578
% 235.40/235.79 Inuse: 2237
% 235.40/235.79 Deleted: 5426
% 235.40/235.79 Deletedinuse: 31
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 2062233
% 235.40/235.79 Kept: 250618
% 235.40/235.79 Inuse: 2277
% 235.40/235.79 Deleted: 5426
% 235.40/235.79 Deletedinuse: 31
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 2167466
% 235.40/235.79 Kept: 252654
% 235.40/235.79 Inuse: 2322
% 235.40/235.79 Deleted: 5426
% 235.40/235.79 Deletedinuse: 31
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 2334944
% 235.40/235.79 Kept: 254670
% 235.40/235.79 Inuse: 2370
% 235.40/235.79 Deleted: 5426
% 235.40/235.79 Deletedinuse: 31
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 2456057
% 235.40/235.79 Kept: 256682
% 235.40/235.79 Inuse: 2440
% 235.40/235.79 Deleted: 5464
% 235.40/235.79 Deletedinuse: 69
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 2519256
% 235.40/235.79 Kept: 258696
% 235.40/235.79 Inuse: 2491
% 235.40/235.79 Deleted: 5464
% 235.40/235.79 Deletedinuse: 69
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 2579069
% 235.40/235.79 Kept: 270193
% 235.40/235.79 Inuse: 2522
% 235.40/235.79 Deleted: 5464
% 235.40/235.79 Deletedinuse: 69
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79 Resimplifying clauses:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 2605229
% 235.40/235.79 Kept: 280671
% 235.40/235.79 Inuse: 2526
% 235.40/235.79 Deleted: 7383
% 235.40/235.79 Deletedinuse: 69
% 235.40/235.79
% 235.40/235.79 Resimplifying inuse:
% 235.40/235.79 Done
% 235.40/235.79
% 235.40/235.79
% 235.40/235.79 Intermediate Status:
% 235.40/235.79 Generated: 2628500
% 235.40/235.79 Kept: 290508
% 235.40/235.79 Inuse: 2527
% 235.40/235.79 Deleted: 7383
% 235.40/235.79 Deletedinuse: 69
% 235.40/235.79
% 235.40/235.79 Resimplifying Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------