TSTP Solution File: LCL841-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL841-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 07:58:41 EDT 2022
% Result : Timeout 300.10s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL841-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jul 2 20:04:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.86/1.26 *** allocated 10000 integers for termspace/termends
% 0.86/1.26 *** allocated 10000 integers for clauses
% 0.86/1.26 *** allocated 10000 integers for justifications
% 0.86/1.26 Bliksem 1.12
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Automatic Strategy Selection
% 0.86/1.26
% 0.86/1.26 Clauses:
% 0.86/1.26 [
% 0.86/1.26 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.26 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.86/1.26 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.86/1.26 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.86/1.26 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.86/1.26 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.26 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.86/1.26 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.86/1.26 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.86/1.26 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.86/1.26 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.86/1.26 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.86/1.26 [ =( 'c_Power_Opower_Opower'( X, Y, Z, 'c_Suc'( T ), U ), hAPP( hAPP( Y
% 0.86/1.26 , Z ), 'c_Power_Opower_Opower'( X, Y, Z, T, U ) ) ) ],
% 0.86/1.26 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 0.86/1.26 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.86/1.26 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.86/1.26 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.86/1.26 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.86/1.26 ), =( X, T ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X,
% 0.86/1.26 'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.86/1.26 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.86/1.26 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.86/1.26 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_Suc'( Z ), X ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_Power_Opower_Opower'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X
% 0.86/1.26 ) ), Y ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_Suc'( Z ), X ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Power_Opower_Opower'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X
% 0.86/1.26 ) ) ) ],
% 0.86/1.26 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.86/1.26 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.26 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.26 ), 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.26 ), 'tc_nat' ) ) ],
% 0.86/1.26 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.86/1.26 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.26 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.26 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.86/1.26 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.26 [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.86/1.26 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.86/1.26 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.26 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.86/1.26 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ =( 'c_List_Ofoldl'( X, Y, Z, T, U ), 'c_List_Ofoldr'( 'c_COMBC'( X, T
% 0.86/1.26 , U, T ), 'c_List_Orev'( Z, U ), Y, U, T ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.86/1.26 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X
% 0.86/1.26 , Y, T ) ), ~( 'c_Type_Otypings'( X, 'c_List_Oappend'( T,
% 0.86/1.26 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.26 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Z ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.26 , Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.26 , Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.26 ), =( Z, Y ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.26 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.86/1.26 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.26 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.26 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.86/1.26 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.86/1.26 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.26 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.26 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.26 T, X ) ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.86/1.26 X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.26 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ =( 'c_List_Ofoldr'( X, Y, Z, T, U ), 'c_List_Ofoldl'( 'c_COMBC'( X, T
% 0.86/1.26 , U, U ), Z, 'c_List_Orev'( Y, T ), U, T ) ) ],
% 0.86/1.26 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.86/1.26 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.86/1.26 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.26 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.86/1.26 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.86/1.26 =( Y, T ) ],
% 0.86/1.26 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.86/1.26 =( X, Z ) ],
% 0.86/1.26 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.86/1.26 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.86/1.26 [ =( 'c_Power_Opower_Opower'( X, Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_nat' ), T ), X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.26 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.26 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.86/1.26 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.26 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.26 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.26 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.86/1.26 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.26 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.26 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.86/1.26 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.86/1.26 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.26 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.26 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.26 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.26 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.26 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'(
% 0.86/1.26 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y ), Y ), X ), =( X,
% 0.86/1.26 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.26 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.86/1.26 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.86/1.26 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.86/1.26 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.86/1.26 , 'tc_Lambda_OdB' ) ) ],
% 0.86/1.26 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.86/1.26 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.86/1.26 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.26 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.86/1.26 ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.86/1.26 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.86/1.26 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.26 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.86/1.26 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.26 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.86/1.26 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y, T, X ) ), 'c_Power_Opower_Opower'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X
% 0.86/1.26 ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.26 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.26 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.26 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.26 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_Power_Opower_Opower'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X
% 0.86/1.26 ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.26 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.26 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.26 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( X, 'c_List_Olist_OCons'(
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 0.86/1.26 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y,
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.86/1.26 , Y ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ) ) ),
% 0.86/1.26 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', Y, X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ =( X, 'c_List_Olist_OCons'(
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 0.86/1.26 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y,
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y
% 0.86/1.26 , X, Z ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.86/1.26 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.86/1.26 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.86/1.26 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.86/1.26 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.26 ) ],
% 0.86/1.26 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.86/1.26 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.86/1.26 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.86/1.26 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.86/1.26 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.86/1.26 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.86/1.26 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.86/1.26 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.86/1.26 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.86/1.26 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.86/1.26 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.86/1.26 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.86/1.26 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.86/1.26 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.86/1.26 ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ),
% 0.86/1.26 Y ), Y ), X ) ],
% 0.86/1.26 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.86/1.26 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.86/1.26 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.86/1.26 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.86/1.26 T, U, X, Y, Z ), Y, Z ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.86/1.26 , =( 'c_List_Olist_OCons'( X,
% 0.86/1.26 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.86/1.26 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.86/1.26 , =( X, 'c_List_Olist_OCons'( T,
% 0.86/1.26 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.86/1.26 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.86/1.26 , =( Y, 'c_List_Oappend'(
% 0.86/1.26 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.86/1.26 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.86/1.26 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.86/1.26 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.86/1.26 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.86/1.26 ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Olast'( Y
% 0.86/1.26 , Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.86/1.26 , Y ), 'c_List_Olast'( X, Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.86/1.26 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.86/1.26 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.86/1.26 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 0.86/1.26 'c_Type_Otype_OFun'( U, T ) ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.86/1.26 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.26 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.26 Z, X, 'tc_nat' ) ],
% 0.86/1.26 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.26 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.86/1.26 'tc_nat' ) ) ],
% 0.86/1.26 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.86/1.26 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.86/1.26 'c_Suc'( Y ), Z, T ) ) ],
% 0.86/1.26 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.86/1.26 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Olist_OCons'(
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 0.86/1.26 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 0.86/1.26 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ) ) ), =( Z,
% 0.86/1.26 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ), X,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Olist_OCons'(
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, X, Z ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, X, Z ),
% 0.86/1.26 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 0.86/1.26 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, X, Z ) ) ), hBOOL(
% 0.86/1.26 hAPP( hAPP( 'c_Lambda_Obeta', Y ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, X, Z ) ) ), ~( hBOOL(
% 0.86/1.26 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, X
% 0.86/1.26 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.26 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.86/1.26 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.26 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.86/1.26 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.86/1.26 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.86/1.26 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.86/1.26 hAPP( X, T ) ) ],
% 0.86/1.26 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.86/1.26 U ) ) ],
% 0.86/1.26 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.86/1.26 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), hBOOL(
% 0.86/1.26 hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.26 ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ) ) ), =( Z
% 0.86/1.26 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ), Y,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.26 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.26 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.86/1.26 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( X, T ), U ), W ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( X, T ), 'c_List_Oappend'( U, 'c_List_Olist_OCons'(
% 0.86/1.26 Y, 'c_List_Olist_ONil'( T ), T ), T ) ), 'c_List_Oappend'( W,
% 0.86/1.26 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ), T ) ) ) ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.86/1.26 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.86/1.26 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.26 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.26 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.26 ), Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.26 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.26 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.86/1.26 ), Z ) ) ) ],
% 0.86/1.26 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.86/1.26 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.86/1.26 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.86/1.26 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.86/1.26 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.86/1.26 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.26 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.26 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.26 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.86/1.26 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.26 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.86/1.26 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.26 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( Z, T ), 'c_List_Olist_OCons'( Y, U, T ) ),
% 0.86/1.26 'c_List_Olist_OCons'( X, W, T ) ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.86/1.26 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.26 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.26 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.26 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.26 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.86/1.26 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.26 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.86/1.26 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.86/1.26 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.86/1.26 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.86/1.26 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.86/1.26 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.86/1.26 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X, hAPP( hAPP(
% 0.86/1.26 hAPP( 'c_Lambda_Osubst', U ), Y ), T ), W ) ],
% 0.86/1.26 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.26 ), Z, X ) ) ],
% 0.86/1.26 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( Z, T ), X ), Y ) )
% 0.86/1.26 , ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( Z, T ), 'c_List_Oappend'( X
% 0.86/1.26 , 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T ), T ), T ) ),
% 0.86/1.26 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W, 'c_List_Olist_ONil'( T ), T
% 0.86/1.26 ), T ) ) ) ) ],
% 0.86/1.26 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.86/1.26 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.86/1.26 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.26 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.86/1.26 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.26 Y ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.26 Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.26 Y ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.26 Y ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.26 Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.26 Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.26 Y ) ],
% 0.86/1.26 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.86/1.26 X, T ) ) ],
% 0.86/1.26 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.86/1.26 X, T ) ) ],
% 0.86/1.26 [ 'c_Type_Otypings'( X, 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'(
% 0.86/1.26 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 0.86/1.26 'tc_Lambda_OdB' ) ), Y ), 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), Z
% 0.86/1.26 ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'(
% 0.86/1.26 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) ), ~(
% 0.86/1.26 'c_Type_Otyping'( X, Y, W ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.86/1.26 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 0.86/1.26 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 0.86/1.26 ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 0.86/1.26 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype'
% 0.86/1.26 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'v_T____', 'c_Type_Otype_OFun'( X, Y ) ) ), hBOOL( hAPP(
% 0.86/1.26 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T ), U ) )
% 0.86/1.26 ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 0.86/1.26 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype'
% 0.86/1.26 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.86/1.26 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.86/1.26 , 'tc_Lambda_OdB' ) ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.26 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.26 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.86/1.26 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.86/1.26 'tc_nat', 'tc_Lambda_OdB' ), Y ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.86/1.26 U ), ~( 'c_Type_Otypings'( X, T, U ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta',
% 0.86/1.26 'tc_Lambda_OdB' ), X ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ) ) ),
% 0.86/1.26 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X, 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( Y, Z
% 0.86/1.26 , X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Z ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, Z, X ) ) ), =( X,
% 0.86/1.26 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, Z, X ), Z,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( Y, Z
% 0.86/1.26 , X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Z ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( Y, Z, X ) ) ), hBOOL(
% 0.86/1.26 hAPP( hAPP( 'c_Lambda_Obeta', Y ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y, Z, X ) ) ), ~( hBOOL(
% 0.86/1.26 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z
% 0.86/1.26 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__4'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__5'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_nat' ) ), 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB'
% 0.86/1.26 , 'tc_Lambda_OdB' ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.26 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.26 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.26 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.26 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__4'( X ) ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__5'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__6'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.26 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.26 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.86/1.26 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( Y, Z
% 0.86/1.26 , X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', Y, 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'(
% 0.86/1.26 Y, Z, X ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', Y ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'(
% 0.86/1.26 Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Osubst', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( Y, Z
% 0.86/1.26 , X ) ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4'( Y, Z, X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5'( Y, Z, X ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', Y, 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'(
% 0.86/1.26 Y, Z, X ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( Y
% 0.86/1.26 , Z, X ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) ) ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), 'c_Type_Otype_OFun'( Z
% 0.86/1.26 , T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.26 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'( X, Y ), Z, Y ), ~( hBOOL(
% 0.86/1.26 hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), Z ) ), ~( 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'(
% 0.86/1.26 X, Y ), Z, Y ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), ~( hBOOL(
% 0.86/1.26 hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.26 'tc_List_Olist'( Y ) ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X
% 0.86/1.26 , Y ), Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.86/1.26 , =( Y, 'c_List_Oappend'(
% 0.86/1.26 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.86/1.26 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.86/1.26 , =( X, 'c_List_Olist_OCons'( T,
% 0.86/1.26 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.86/1.26 ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.26 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ],
% 0.86/1.26 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.26 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.86/1.26 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.86/1.26 T, U, X, Y, Z ), Y, Z ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.86/1.26 , =( 'c_List_Olist_OCons'( X,
% 0.86/1.26 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.86/1.26 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.86/1.26 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.86/1.26 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.86/1.26 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.86/1.26 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.86/1.26 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.86/1.26 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.86/1.26 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z ), Z
% 0.86/1.26 ), Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.86/1.26 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.86/1.26 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.26 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.86/1.26 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.86/1.26 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.86/1.26 ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.86/1.26 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( T,
% 0.86/1.26 'c_List_Oappend'(
% 0.86/1.26 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.86/1.26 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.86/1.26 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.86/1.26 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.26 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.86/1.26 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.86/1.26 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.86/1.26 'tc_nat' ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.86/1.26 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), Y ), Z ) ), T ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.26 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.26 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 X ), Y ), Z ) ), T ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.26 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.86/1.26 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.26 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.86/1.26 ), Z ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T ) ) ),
% 0.86/1.26 hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Oappend'( Z, U,
% 0.86/1.26 Y ) ), 'c_List_Oappend'( T, U, Y ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Oappend'( Z,
% 0.86/1.26 T, Y ) ), 'c_List_Oappend'( Z, U, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( X, Y ), T ), U ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.26 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.86/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.26 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.86/1.26 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.86/1.26 Y, T, Z ), Z ) ) ],
% 0.86/1.26 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.86/1.26 T, Y, Z ), Z ) ) ],
% 0.86/1.26 [ =( X, Y ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( U, W
% 0.86/1.26 ), 'c_List_Olist_OCons'( Y, T, W ) ), 'c_List_Olist_OCons'( X, Z, W ) )
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( X, T ), 'c_List_Olist_OCons'( Y, U, T ) ),
% 0.86/1.26 'c_List_Olist_OCons'( Z, U, T ) ) ) ],
% 0.86/1.26 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.86/1.26 =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.86/1.26 =( Y, T ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.86/1.26 ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.86/1.26 ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.26 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ), ~( hBOOL(
% 0.86/1.26 hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.26 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.86/1.26 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.86/1.26 ), Z ), U ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.86/1.26 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.86/1.26 X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( hBOOL( hAPP(
% 0.86/1.26 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.26 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.86/1.26 X ) ) ), 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ), ~( hBOOL(
% 0.86/1.26 hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.86/1.26 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.86/1.26 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.86/1.26 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.26 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.26 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( X, T ), 'c_List_Oappend'( U, 'c_List_Olist_OCons'(
% 0.86/1.26 Y, 'c_List_Olist_ONil'( T ), T ), T ) ), 'c_List_Oappend'( W,
% 0.86/1.26 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ), T ) ) ) ) ],
% 0.86/1.26 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.86/1.26 , Z ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.86/1.26 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.86/1.26 , 'c_List_Olist_ONil'( T ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.26 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.26 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.26 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.26 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.26 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.26 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.86/1.26 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.26 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.26 'c_List_Olist_ONil'( Y ) ), Z ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ),
% 0.86/1.26 'c_List_Olist_ONil'( Y ) ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.86/1.26 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.86/1.26 , 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.86/1.26 , 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.86/1.26 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.86/1.26 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.26 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.26 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), 'c_List_Olistsp'(
% 0.86/1.26 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.26 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.86/1.26 hAPP( X, T ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.26 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.86/1.26 ), Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T ) ), =( T, Z )
% 0.86/1.26 , ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 0.86/1.26 'c_List_Olist_OCons'( U, Z, Y ) ), 'c_List_Olist_OCons'( W, T, Y ) ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.86/1.26 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.86/1.26 ) ],
% 0.86/1.26 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.86/1.26 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.86/1.26 ), U ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.26 ) ) ) ],
% 0.86/1.26 [ =( X, Y ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( U, W
% 0.86/1.26 ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W
% 0.86/1.26 ), W ), W ) ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T,
% 0.86/1.26 'c_List_Olist_ONil'( W ), W ), W ) ) ) ) ],
% 0.86/1.26 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.26 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.86/1.26 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.86/1.26 'tc_nat', 'tc_Lambda_OdB' ), Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.26 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.86/1.26 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.86/1.26 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.86/1.26 X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.86/1.26 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.26 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.86/1.26 ), X ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.86/1.26 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.26 ) ), =( X, T ) ],
% 0.86/1.26 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.26 ) ), =( Y, U ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.86/1.26 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T ) ), hBOOL(
% 0.86/1.26 hAPP( hAPP( X, U ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X
% 0.86/1.26 , Y ), 'c_List_Olist_OCons'( U, Z, Y ) ), 'c_List_Olist_OCons'( W, T, Y )
% 0.86/1.26 ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Olist_OCons'(
% 0.86/1.26 Z, T, Y ) ), 'c_List_Olist_OCons'( Z, U, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_ListOrder_Ostep1'( X, Y ), T ), U ) ) ) ],
% 0.86/1.26 [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), hBOOL(
% 0.86/1.26 hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.26 ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ) ) ),
% 0.86/1.26 hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ),
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ) ) ), ~( hBOOL(
% 0.86/1.26 hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y
% 0.86/1.26 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.26 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.26 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.86/1.26 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.26 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.86/1.26 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.26 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.86/1.26 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.86/1.26 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.26 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( hAPP( 'c_COMBC'(
% 0.86/1.26 'c_Lambda_Olift', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'(
% 0.86/1.26 'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.86/1.26 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.26 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.86/1.26 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.26 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.26 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.86/1.26 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ), hAPP(
% 0.86/1.26 hAPP( 'c_Lambda_Olift', T ), Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.86/1.26 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.26 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.26 hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T )
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.26 hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T )
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.26 , 'v_a____' ), X ), Y ) ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ),
% 0.86/1.26 ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'(
% 0.86/1.26 'c_Type_Oshift'( Z, Y, 'v_T____', 'tc_Type_Otype' ), 'v_a____', T ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.86/1.26 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.86/1.26 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.86/1.26 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.86/1.26 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_a____' ) ) ],
% 0.86/1.26 [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), =( Z,
% 0.86/1.26 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.86/1.26 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ),
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( Z, 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X
% 0.86/1.26 , Y, Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.26 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.86/1.26 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.26 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.86/1.26 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.86/1.26 Z ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.26 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.26 Z ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.26 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.26 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.26 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.26 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.26 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.86/1.26 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.26 ), X ), Y ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.86/1.26 Z, U ), W ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.86/1.26 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.86/1.26 Z, U ), W ) ) ) ],
% 0.86/1.26 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.26 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.26 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.26 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.26 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.26 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.86/1.26 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.27 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.86/1.27 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.27 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.86/1.27 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.86/1.27 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.27 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.27 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.27 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ), Y )
% 0.86/1.27 ) ), ~( 'c_Type_Otyping'( Z, X, 'v_T____' ) ), ~( hBOOL( hAPP(
% 0.86/1.27 'c_InductTermi_OIT', X ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( Z, Y
% 0.86/1.27 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.27 hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_r____' ), 'v_a____' ),
% 0.86/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_as____', 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ), T ) ) ],
% 0.86/1.27 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.86/1.27 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.86/1.27 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.27 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.27 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.27 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.27 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.86/1.27 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.86/1.27 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.86/1.27 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.86/1.27 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.86/1.27 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ), X ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.86/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 0.86/1.27 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), Z ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.27 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.86/1.27 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.86/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.27 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.86/1.27 , Y ) ],
% 0.86/1.27 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.27 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.86/1.27 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.27 Z ) ) ) ],
% 0.86/1.27 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.86/1.27 ) ],
% 0.86/1.27 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.27 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.86/1.27 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.27 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.27 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.86/1.27 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.27 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.86/1.27 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.27 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.86/1.27 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.86/1.27 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.27 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.27 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.27 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.86/1.27 X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.27 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.27 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.27 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.86/1.27 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.27 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.86/1.27 ],
% 0.86/1.27 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.86/1.27 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.86/1.27 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP(
% 0.86/1.27 'c_COMBC'( 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.86/1.27 'tc_nat', 'tc_Lambda_OdB' ) ), Z ), 'tc_Lambda_OdB', 'tc_nat',
% 0.86/1.27 'tc_Lambda_OdB' ), T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______', 'v_ia______',
% 0.86/1.27 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 0.86/1.27 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____'
% 0.86/1.27 ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.86/1.27 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.86/1.27 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.86/1.27 ,
% 0.86/1.27 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.86/1.27 hAPP( Z, T ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.86/1.27 [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.86/1.27 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.86/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.86/1.27 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.86/1.27 , 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 0.86/1.27 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Y ) ) ), hBOOL( hAPP(
% 0.86/1.27 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.86/1.27 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.27 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.86/1.27 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.86/1.27 [ =( X, 'c_Lambda_OdB_OAbs'(
% 0.86/1.27 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3'( X, Y, Z ) ) ), =( Z,
% 0.86/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.86/1.27 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2'( X, Y, Z ),
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.86/1.27 , X ), 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1'( X, Y, Z ) ) ),
% 0.86/1.27 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) )
% 0.86/1.27 ],
% 0.86/1.27 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.86/1.27 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.86/1.27 X, U ) ) ],
% 0.86/1.27 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.27 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.86/1.27 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ),
% 0.86/1.27 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.86/1.27 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.86/1.27 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.86/1.27 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.27 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.27 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.86/1.27 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.86/1.27 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.86/1.27 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.86/1.27 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.27 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.86/1.27 , Y ) ],
% 0.86/1.27 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.27 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.86/1.27 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.86/1.27 , Z, U, W ) ) ) ],
% 0.86/1.27 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.27 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.86/1.27 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.86/1.27 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.86/1.27 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.27 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.27 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.27 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.86/1.27 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.86/1.27 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.86/1.27 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.86/1.27 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.86/1.27 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.86/1.27 X ), Y ) ), Z ), Y ), X ) ],
% 0.86/1.27 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.27 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.27 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.86/1.27 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.27 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.86/1.27 'tc_Lambda_OdB' ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.86/1.27 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.86/1.27 ) ) ) ],
% 0.86/1.27 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.86/1.27 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.86/1.27 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.86/1.27 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.86/1.27 , Y ) ) ) ],
% 0.86/1.27 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.86/1.27 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.86/1.27 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.86/1.27 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.86/1.27 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.86/1.27 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.86/1.27 Z ) ) ) ],
% 0.86/1.27 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.27 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( hAPP( hAPP( hAPP(
% 0.86/1.27 'c_Lambda_Osubst', 'v_r____' ), hAPP( hAPP( 'c_Lambda_Olift', 'v_u____' )
% 0.86/1.27 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'( 'v_i____' ) ) ) )
% 0.86/1.27 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'v_a____' ), 'v_u____' ),
% 0.86/1.27 'v_i____' ) ), 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'(
% 0.86/1.27 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 0.86/1.27 'tc_Lambda_OdB' ) ), 'v_u____' ), 'tc_Lambda_OdB', 'tc_nat',
% 0.86/1.27 'tc_Lambda_OdB' ), 'v_i____' ), 'v_as____', 'tc_Lambda_OdB',
% 0.86/1.27 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.27 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 0.86/1.27 'c_Lambda_Osubst', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.27 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( 'v_r____' ) ), 'v_a____' ),
% 0.86/1.27 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'v_u____' ), 'v_i____'
% 0.86/1.27 ) ) ) ) ],
% 0.86/1.27 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Orderings_Opreorder'( Y ) ) ],
% 0.86/1.27 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.27 'class_Orderings_Oorder'( Y ) ) ],
% 0.86/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.27 ],
% 0.86/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.86/1.27 ) ],
% 0.86/1.27 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.27 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.86/1.27 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.86/1.27 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.86/1.27 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.86/1.27 ] .
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 percentage equality = 0.455335, percentage horn = 0.843284
% 0.86/1.27 This is a problem with some equality
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27
% 0.86/1.27 Options Used:
% 0.86/1.27
% 0.86/1.27 useres = 1
% 0.86/1.27 useparamod = 1
% 0.86/1.27 useeqrefl = 1
% 0.86/1.27 useeqfact = 1
% 0.86/1.27 usefactor = 1
% 0.86/1.27 usesimpsplitting = 0
% 0.86/1.27 usesimpdemod = 5
% 0.86/1.27 usesimpres = 3
% 0.86/1.27
% 0.86/1.27 resimpinuse = 1000
% 0.86/1.27 resimpclauses = 20000
% 0.86/1.27 substype = eqrewr
% 0.86/1.27 backwardsubs = 1
% 0.86/1.27 selectoldest = 5
% 0.86/1.27
% 0.86/1.27 litorderings [0] = split
% 0.86/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.27
% 0.86/1.27 termordering = kbo
% 0.86/1.27
% 0.86/1.27 litapriori = 0
% 0.86/1.27 termapriori = 1
% 0.86/1.27 litaposteriori = 0
% 0.86/1.27 termaposteriori = 0
% 0.86/1.27 demodaposteriori = 0
% 0.86/1.27 ordereqreflfact = 0
% 0.86/1.27
% 0.86/1.27 litselect = negord
% 0.86/1.27
% 0.86/1.27 maxweight = 15
% 0.86/1.27 maxdepth = 30000
% 0.86/1.27 maxlength = 115
% 0.86/1.27 maxnrvars = 195
% 0.86/1.27 excuselevel = 1
% 0.86/1.27 increasemaxweight = 1
% 0.86/1.27
% 0.86/1.27 maxselected = 10000000
% 0.86/1.27 maxnrclauses = 10000000
% 0.86/1.27
% 0.86/1.27 showgenerated = 0
% 0.86/1.27 showkept = 0
% 0.86/1.27 showselected = 0
% 0.86/1.27 showdeleted = 0
% 0.86/1.27 showresimp = 1
% 0.86/1.27 showstatus = 2000
% 0.86/1.27
% 0.86/1.27 prologoutput = 1
% 0.86/1.27 nrgoals = 5000000
% 0.86/1.27 totalproof = 1
% 0.86/1.27
% 0.86/1.27 Symbols occurring in the translation:
% 0.86/1.27
% 0.86/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.27 . [1, 2] (w:1, o:150, a:1, s:1, b:0),
% 0.86/1.27 ! [4, 1] (w:0, o:109, a:1, s:1, b:0),
% 0.86/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.27 'tc_nat' [40, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.86/1.27 'c_HOL_Oord__class_Oless' [41, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.86/1.27 'c_Suc' [44, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.86/1.27 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olist_OCons' [51, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Otake' [52, 3] (w:1, o:189, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Oappend' [56, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Ofoldr' [58, 5] (w:1, o:210, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Oreplicate' [59, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Orev' [60, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.86/1.27 'c_Power_Opower_Opower' [63, 5] (w:1, o:211, a:1, s:1, b:0),
% 0.86/1.27 hAPP [64, 2] (w:1, o:176, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Omap' [65, 4] (w:1, o:205, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Orotate1' [66, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olist_ONil' [67, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Ocomm__monoid__add' [68, 1] (w:1, o:117, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 'c_HOL_Oplus__class_Oplus' [69, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.86/1.27 'class_Orderings_Opreorder' [70, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.86/1.27 'class_Orderings_Oorder' [72, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Olast' [73, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Ofoldl' [74, 5] (w:1, o:212, a:1, s:1, b:0),
% 0.86/1.27 'c_COMBC' [75, 4] (w:1, o:206, a:1, s:1, b:0),
% 0.86/1.27 'c_Type_Osko__Type__Xtypes__snocE__1__2' [80, 4] (w:1, o:207, a:1, s:
% 0.86/1.27 1, b:0),
% 0.86/1.27 'c_Type_Otyping' [81, 3] (w:1, o:192, a:1, s:1, b:0),
% 0.86/1.27 'tc_Lambda_OdB' [82, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.86/1.27 'c_Type_Otypings' [83, 3] (w:1, o:193, a:1, s:1, b:0),
% 0.86/1.27 'class_Orderings_Olinorder' [84, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Oordered__idom' [85, 1] (w:1, o:122, a:1, s:1
% 0.86/1.27 , b:0),
% 0.86/1.27 hBOOL [87, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [89, 1]
% 0.86/1.27 (w:1, o:124, a:1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Omonoid__add' [95, 1] (w:1, o:126, a:1, s:1, b:0)
% 0.86/1.27 ,
% 0.86/1.27 'c_List_Olistsum' [96, 2] (w:1, o:179, a:1, s:1, b:0),
% 0.86/1.27 'c_Type_Oshift' [98, 4] (w:1, o:208, a:1, s:1, b:0),
% 0.86/1.27 'c_Type_Otype_OFun' [101, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [104, 1]
% 0.86/1.27 (w:1, o:127, a:1, s:1, b:0),
% 0.86/1.27 'c_List_Obutlast' [105, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.86/1.27 'c_Lambda_OdB_OApp' [107, 0] (w:1, o:65, a:1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Olordered__ab__group__add' [111, 1] (w:1, o:125
% 0.86/1.27 , a:1, s:1, b:0),
% 0.86/1.27 'class_OrderedGroup_Opordered__comm__monoid__add' [112, 1] (w:1, o:
% 0.86/1.27 128, a:1, s:1, b:0),
% 0.86/1.27 'class_Ring__and__Field_Oordered__semidom' [113, 1] (w:1, o:129, a:1
% 6.54/6.95 , s:1, b:0),
% 6.54/6.95 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4' [115, 3] (w:1, o:195
% 6.54/6.95 , a:1, s:1, b:0),
% 6.54/6.95 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5' [116, 3] (w:1, o:196
% 6.54/6.95 , a:1, s:1, b:0),
% 6.54/6.95 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2' [117, 3] (w:1, o:198
% 6.54/6.95 , a:1, s:1, b:0),
% 6.54/6.95 'c_Lambda_Obeta' [118, 0] (w:1, o:68, a:1, s:1, b:0),
% 6.54/6.95 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1' [119, 3] (w:1, o:197
% 6.54/6.95 , a:1, s:1, b:0),
% 6.54/6.95 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1' [121, 5] (w:1, o:
% 6.54/6.95 213, a:1, s:1, b:0),
% 6.54/6.95 'c_List_Osko__List__XCons__eq__append__conv__1__1' [122, 5] (w:1, o:
% 6.54/6.95 214, a:1, s:1, b:0),
% 6.54/6.95 'class_OrderedGroup_Oab__semigroup__add' [123, 1] (w:1, o:130, a:1
% 6.54/6.95 , s:1, b:0),
% 6.54/6.95 'c_Lambda_Osubst' [126, 0] (w:1, o:75, a:1, s:1, b:0),
% 6.54/6.95 'c_Lambda_OdB_OVar' [127, 1] (w:1, o:131, a:1, s:1, b:0),
% 6.54/6.95 'c_Lambda_Olift' [128, 0] (w:1, o:76, a:1, s:1, b:0),
% 6.54/6.95 'c_ListOrder_Ostep1' [129, 2] (w:1, o:182, a:1, s:1, b:0),
% 6.54/6.95 'c_Lambda_Oliftn' [130, 3] (w:1, o:199, a:1, s:1, b:0),
% 6.54/6.95 'class_Ring__and__Field_Ocomm__semiring__1' [131, 1] (w:1, o:132, a:1
% 6.54/6.95 , s:1, b:0),
% 6.54/6.95 'c_Predicate_Oconversep' [132, 3] (w:1, o:201, a:1, s:1, b:0),
% 6.54/6.95 'class_OrderedGroup_Oab__group__add' [135, 1] (w:1, o:133, a:1, s:1
% 6.54/6.95 , b:0),
% 6.54/6.95 'c_Lambda_OdB_OdB__case' [139, 5] (w:1, o:215, a:1, s:1, b:0),
% 6.54/6.95 'c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3' [143, 3] (w:1, o:194
% 6.54/6.95 , a:1, s:1, b:0),
% 6.54/6.95 'c_Lambda_OdB_OAbs' [144, 1] (w:1, o:134, a:1, s:1, b:0),
% 6.54/6.95 'c_Transitive__Closure_Ortranclp' [145, 2] (w:1, o:183, a:1, s:1, b:0
% 6.54/6.95 ),
% 6.54/6.95 'class_Ring__and__Field_Oidom' [149, 1] (w:1, o:135, a:1, s:1, b:0),
% 6.54/6.95
% 6.54/6.95 'class_Int_Onumber__ring' [150, 1] (w:1, o:136, a:1, s:1, b:0),
% 6.54/6.95 'class_OrderedGroup_Ocancel__ab__semigroup__add' [151, 1] (w:1, o:137
% 6.54/6.95 , a:1, s:1, b:0),
% 6.54/6.95 'class_OrderedGroup_Ocancel__semigroup__add' [152, 1] (w:1, o:138, a:
% 6.54/6.95 1, s:1, b:0),
% 6.54/6.95 'tc_Type_Otype' [157, 0] (w:1, o:83, a:1, s:1, b:0),
% 6.54/6.95 'c_OrderedGroup_Omonoid__add' [160, 3] (w:1, o:200, a:1, s:1, b:0),
% 6.54/6.95 'tc_fun' [161, 2] (w:1, o:184, a:1, s:1, b:0),
% 6.54/6.95 'c_InductTermi_OIT' [162, 0] (w:1, o:86, a:1, s:1, b:0),
% 6.54/6.95 'v_sko__InductTermi__XIT__Xcases__4' [163, 1] (w:1, o:142, a:1, s:1
% 6.54/6.95 , b:0),
% 6.54/6.95 'v_sko__InductTermi__XIT__Xcases__5' [164, 1] (w:1, o:143, a:1, s:1
% 6.54/6.95 , b:0),
% 6.54/6.95 'v_sko__InductTermi__XIT__Xcases__6' [165, 1] (w:1, o:144, a:1, s:1
% 6.54/6.95 , b:0),
% 6.54/6.95 'v_sko__InductTermi__XIT__Xcases__3' [166, 1] (w:1, o:141, a:1, s:1
% 6.54/6.95 , b:0),
% 6.54/6.95 'v_sko__InductTermi__XIT__Xcases__2' [167, 1] (w:1, o:140, a:1, s:1
% 6.54/6.95 , b:0),
% 6.54/6.95 'v_sko__InductTermi__XIT__Xcases__1' [168, 1] (w:1, o:139, a:1, s:1
% 6.54/6.95 , b:0),
% 6.54/6.95 'v_T____' [169, 0] (w:1, o:87, a:1, s:1, b:0),
% 6.54/6.95 'c_List_Olistsp' [173, 3] (w:1, o:202, a:1, s:1, b:0),
% 6.54/6.95 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [175, 3] (w:
% 6.54/6.95 1, o:203, a:1, s:1, b:0),
% 6.54/6.95 'c_Lambda_Osubstn' [176, 3] (w:1, o:204, a:1, s:1, b:0),
% 6.54/6.95 'c_Wellfounded_Oaccp' [177, 2] (w:1, o:185, a:1, s:1, b:0),
% 6.54/6.95 'tc_List_Olist' [178, 1] (w:1, o:145, a:1, s:1, b:0),
% 6.54/6.95 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 6.54/6.95 179, 4] (w:1, o:209, a:1, s:1, b:0),
% 6.54/6.95 'v_ea______' [183, 0] (w:1, o:92, a:1, s:1, b:0),
% 6.54/6.95 'v_ua______' [184, 0] (w:1, o:93, a:1, s:1, b:0),
% 6.54/6.95 'c_fequal' [185, 1] (w:1, o:146, a:1, s:1, b:0),
% 6.54/6.95 'c_Lambda_OdB_OdB__rec' [186, 5] (w:1, o:216, a:1, s:1, b:0),
% 6.54/6.95 'c_OrderedGroup_Osemigroup__add' [187, 2] (w:1, o:186, a:1, s:1, b:0)
% 6.54/6.95 ,
% 6.54/6.95 'class_OrderedGroup_Osemigroup__add' [188, 1] (w:1, o:147, a:1, s:1
% 6.54/6.95 , b:0),
% 6.54/6.95 't_a' [190, 0] (w:1, o:94, a:1, s:1, b:0),
% 6.54/6.95 'v_e____' [192, 0] (w:1, o:95, a:1, s:1, b:0),
% 6.54/6.95 'v_u____' [193, 0] (w:1, o:96, a:1, s:1, b:0),
% 6.54/6.95 'v_a____' [194, 0] (w:1, o:97, a:1, s:1, b:0),
% 6.54/6.95 'v_r____' [199, 0] (w:1, o:98, a:1, s:1, b:0),
% 6.54/6.95 'v_as____' [200, 0] (w:1, o:99, a:1, s:1, b:0),
% 6.54/6.95 'v_ia______' [206, 0] (w:1, o:100, a:1, s:1, b:0),
% 6.54/6.95 'v_T_Ha______' [207, 0] (w:1, o:101, a:1, s:1, b:0),
% 28.45/28.86 'v_i____' [208, 0] (w:1, o:102, a:1, s:1, b:0),
% 28.45/28.86 'v_T_H____' [209, 0] (w:1, o:103, a:1, s:1, b:0),
% 28.45/28.86 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2' [210, 1
% 28.45/28.86 ] (w:1, o:149, a:1, s:1, b:0),
% 28.45/28.86 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1' [211, 1
% 28.45/28.86 ] (w:1, o:148, a:1, s:1, b:0),
% 28.45/28.86 'tc_bool' [214, 0] (w:1, o:106, a:1, s:1, b:0).
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Starting Search:
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 5123
% 28.45/28.86 Kept: 2057
% 28.45/28.86 Inuse: 115
% 28.45/28.86 Deleted: 1
% 28.45/28.86 Deletedinuse: 0
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 13771
% 28.45/28.86 Kept: 4285
% 28.45/28.86 Inuse: 155
% 28.45/28.86 Deleted: 2
% 28.45/28.86 Deletedinuse: 0
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 25876
% 28.45/28.86 Kept: 6598
% 28.45/28.86 Inuse: 208
% 28.45/28.86 Deleted: 4
% 28.45/28.86 Deletedinuse: 1
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 37518
% 28.45/28.86 Kept: 9224
% 28.45/28.86 Inuse: 243
% 28.45/28.86 Deleted: 5
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 45505
% 28.45/28.86 Kept: 11243
% 28.45/28.86 Inuse: 288
% 28.45/28.86 Deleted: 5
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 55869
% 28.45/28.86 Kept: 13248
% 28.45/28.86 Inuse: 348
% 28.45/28.86 Deleted: 8
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 67196
% 28.45/28.86 Kept: 15260
% 28.45/28.86 Inuse: 394
% 28.45/28.86 Deleted: 8
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 79008
% 28.45/28.86 Kept: 17304
% 28.45/28.86 Inuse: 415
% 28.45/28.86 Deleted: 8
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 90381
% 28.45/28.86 Kept: 19311
% 28.45/28.86 Inuse: 441
% 28.45/28.86 Deleted: 8
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying clauses:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 102921
% 28.45/28.86 Kept: 21331
% 28.45/28.86 Inuse: 466
% 28.45/28.86 Deleted: 249
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 118229
% 28.45/28.86 Kept: 23680
% 28.45/28.86 Inuse: 490
% 28.45/28.86 Deleted: 249
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 127636
% 28.45/28.86 Kept: 25683
% 28.45/28.86 Inuse: 515
% 28.45/28.86 Deleted: 249
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 138338
% 28.45/28.86 Kept: 27726
% 28.45/28.86 Inuse: 550
% 28.45/28.86 Deleted: 249
% 28.45/28.86 Deletedinuse: 2
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 147787
% 28.45/28.86 Kept: 29727
% 28.45/28.86 Inuse: 584
% 28.45/28.86 Deleted: 250
% 28.45/28.86 Deletedinuse: 3
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 163629
% 28.45/28.86 Kept: 31845
% 28.45/28.86 Inuse: 600
% 28.45/28.86 Deleted: 250
% 28.45/28.86 Deletedinuse: 3
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 185384
% 28.45/28.86 Kept: 34673
% 28.45/28.86 Inuse: 615
% 28.45/28.86 Deleted: 250
% 28.45/28.86 Deletedinuse: 3
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 197350
% 28.45/28.86 Kept: 36686
% 28.45/28.86 Inuse: 641
% 28.45/28.86 Deleted: 250
% 28.45/28.86 Deletedinuse: 3
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 211548
% 28.45/28.86 Kept: 38816
% 28.45/28.86 Inuse: 680
% 28.45/28.86 Deleted: 250
% 28.45/28.86 Deletedinuse: 3
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying clauses:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 219298
% 28.45/28.86 Kept: 40817
% 28.45/28.86 Inuse: 698
% 28.45/28.86 Deleted: 525
% 28.45/28.86 Deletedinuse: 4
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 229503
% 28.45/28.86 Kept: 43244
% 28.45/28.86 Inuse: 714
% 28.45/28.86 Deleted: 525
% 28.45/28.86 Deletedinuse: 4
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 241667
% 28.45/28.86 Kept: 45516
% 28.45/28.86 Inuse: 739
% 28.45/28.86 Deleted: 525
% 28.45/28.86 Deletedinuse: 4
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86
% 28.45/28.86 Intermediate Status:
% 28.45/28.86 Generated: 253934
% 28.45/28.86 Kept: 47629
% 28.45/28.86 Inuse: 759
% 28.45/28.86 Deleted: 525
% 28.45/28.86 Deletedinuse: 4
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 28.45/28.86 Done
% 28.45/28.86
% 28.45/28.86 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 266792
% 70.64/71.02 Kept: 49677
% 70.64/71.02 Inuse: 769
% 70.64/71.02 Deleted: 525
% 70.64/71.02 Deletedinuse: 4
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 294485
% 70.64/71.02 Kept: 53050
% 70.64/71.02 Inuse: 799
% 70.64/71.02 Deleted: 525
% 70.64/71.02 Deletedinuse: 4
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 309883
% 70.64/71.02 Kept: 55177
% 70.64/71.02 Inuse: 829
% 70.64/71.02 Deleted: 525
% 70.64/71.02 Deletedinuse: 4
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 318476
% 70.64/71.02 Kept: 57390
% 70.64/71.02 Inuse: 849
% 70.64/71.02 Deleted: 525
% 70.64/71.02 Deletedinuse: 4
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 362057
% 70.64/71.02 Kept: 62046
% 70.64/71.02 Inuse: 869
% 70.64/71.02 Deleted: 525
% 70.64/71.02 Deletedinuse: 4
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying clauses:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 377056
% 70.64/71.02 Kept: 64094
% 70.64/71.02 Inuse: 879
% 70.64/71.02 Deleted: 565
% 70.64/71.02 Deletedinuse: 4
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 391471
% 70.64/71.02 Kept: 66242
% 70.64/71.02 Inuse: 889
% 70.64/71.02 Deleted: 565
% 70.64/71.02 Deletedinuse: 4
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 401025
% 70.64/71.02 Kept: 68585
% 70.64/71.02 Inuse: 908
% 70.64/71.02 Deleted: 567
% 70.64/71.02 Deletedinuse: 5
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 411926
% 70.64/71.02 Kept: 71533
% 70.64/71.02 Inuse: 920
% 70.64/71.02 Deleted: 567
% 70.64/71.02 Deletedinuse: 5
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 432376
% 70.64/71.02 Kept: 73961
% 70.64/71.02 Inuse: 933
% 70.64/71.02 Deleted: 567
% 70.64/71.02 Deletedinuse: 5
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 445479
% 70.64/71.02 Kept: 76680
% 70.64/71.02 Inuse: 943
% 70.64/71.02 Deleted: 568
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 451968
% 70.64/71.02 Kept: 78710
% 70.64/71.02 Inuse: 954
% 70.64/71.02 Deleted: 568
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 466573
% 70.64/71.02 Kept: 82101
% 70.64/71.02 Inuse: 967
% 70.64/71.02 Deleted: 569
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying clauses:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 477370
% 70.64/71.02 Kept: 84442
% 70.64/71.02 Inuse: 977
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 498482
% 70.64/71.02 Kept: 88032
% 70.64/71.02 Inuse: 992
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 533058
% 70.64/71.02 Kept: 90046
% 70.64/71.02 Inuse: 1019
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 542725
% 70.64/71.02 Kept: 92357
% 70.64/71.02 Inuse: 1027
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 550115
% 70.64/71.02 Kept: 94374
% 70.64/71.02 Inuse: 1033
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 576059
% 70.64/71.02 Kept: 97814
% 70.64/71.02 Inuse: 1042
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 584172
% 70.64/71.02 Kept: 99825
% 70.64/71.02 Inuse: 1060
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 614197
% 70.64/71.02 Kept: 101839
% 70.64/71.02 Inuse: 1081
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 625034
% 70.64/71.02 Kept: 104026
% 70.64/71.02 Inuse: 1083
% 70.64/71.02 Deleted: 867
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying clauses:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 633048
% 70.64/71.02 Kept: 106249
% 70.64/71.02 Inuse: 1102
% 70.64/71.02 Deleted: 1140
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 644131
% 70.64/71.02 Kept: 108801
% 70.64/71.02 Inuse: 1122
% 70.64/71.02 Deleted: 1140
% 70.64/71.02 Deletedinuse: 6
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02 Resimplifying inuse:
% 70.64/71.02 Done
% 70.64/71.02
% 70.64/71.02
% 70.64/71.02 Intermediate Status:
% 70.64/71.02 Generated: 677212
% 70.64/71.02 Kept: 111760
% 70.64/71.02 Inuse: 1137
% 70.64/71.02 Deleted: 1140
% 70.64/71.02 Deletedinuse: 6
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 687567
% 166.05/166.47 Kept: 114030
% 166.05/166.47 Inuse: 1152
% 166.05/166.47 Deleted: 1140
% 166.05/166.47 Deletedinuse: 6
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 702839
% 166.05/166.47 Kept: 116103
% 166.05/166.47 Inuse: 1162
% 166.05/166.47 Deleted: 1140
% 166.05/166.47 Deletedinuse: 6
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 734634
% 166.05/166.47 Kept: 119154
% 166.05/166.47 Inuse: 1172
% 166.05/166.47 Deleted: 1140
% 166.05/166.47 Deletedinuse: 6
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 753107
% 166.05/166.47 Kept: 121266
% 166.05/166.47 Inuse: 1182
% 166.05/166.47 Deleted: 1140
% 166.05/166.47 Deletedinuse: 6
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 773882
% 166.05/166.47 Kept: 124034
% 166.05/166.47 Inuse: 1185
% 166.05/166.47 Deleted: 1140
% 166.05/166.47 Deletedinuse: 6
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying clauses:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 801314
% 166.05/166.47 Kept: 127015
% 166.05/166.47 Inuse: 1192
% 166.05/166.47 Deleted: 8219
% 166.05/166.47 Deletedinuse: 147
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 809958
% 166.05/166.47 Kept: 129015
% 166.05/166.47 Inuse: 1209
% 166.05/166.47 Deleted: 8219
% 166.05/166.47 Deletedinuse: 147
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 826571
% 166.05/166.47 Kept: 132584
% 166.05/166.47 Inuse: 1217
% 166.05/166.47 Deleted: 8219
% 166.05/166.47 Deletedinuse: 147
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 839238
% 166.05/166.47 Kept: 134598
% 166.05/166.47 Inuse: 1237
% 166.05/166.47 Deleted: 8219
% 166.05/166.47 Deletedinuse: 147
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 848564
% 166.05/166.47 Kept: 136626
% 166.05/166.47 Inuse: 1250
% 166.05/166.47 Deleted: 8219
% 166.05/166.47 Deletedinuse: 147
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 856428
% 166.05/166.47 Kept: 139029
% 166.05/166.47 Inuse: 1257
% 166.05/166.47 Deleted: 8219
% 166.05/166.47 Deletedinuse: 147
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 870083
% 166.05/166.47 Kept: 141100
% 166.05/166.47 Inuse: 1277
% 166.05/166.47 Deleted: 8219
% 166.05/166.47 Deletedinuse: 147
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 882711
% 166.05/166.47 Kept: 144171
% 166.05/166.47 Inuse: 1292
% 166.05/166.47 Deleted: 8219
% 166.05/166.47 Deletedinuse: 147
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying clauses:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 898816
% 166.05/166.47 Kept: 147121
% 166.05/166.47 Inuse: 1302
% 166.05/166.47 Deleted: 9121
% 166.05/166.47 Deletedinuse: 148
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 921864
% 166.05/166.47 Kept: 150312
% 166.05/166.47 Inuse: 1317
% 166.05/166.47 Deleted: 9121
% 166.05/166.47 Deletedinuse: 148
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 929703
% 166.05/166.47 Kept: 152361
% 166.05/166.47 Inuse: 1327
% 166.05/166.47 Deleted: 9121
% 166.05/166.47 Deletedinuse: 148
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 944428
% 166.05/166.47 Kept: 155291
% 166.05/166.47 Inuse: 1342
% 166.05/166.47 Deleted: 9121
% 166.05/166.47 Deletedinuse: 148
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 952520
% 166.05/166.47 Kept: 157362
% 166.05/166.47 Inuse: 1352
% 166.05/166.47 Deleted: 9121
% 166.05/166.47 Deletedinuse: 148
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 960700
% 166.05/166.47 Kept: 159393
% 166.05/166.47 Inuse: 1361
% 166.05/166.47 Deleted: 9121
% 166.05/166.47 Deletedinuse: 148
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 972575
% 166.05/166.47 Kept: 162651
% 166.05/166.47 Inuse: 1371
% 166.05/166.47 Deleted: 9122
% 166.05/166.47 Deletedinuse: 148
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying clauses:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 993615
% 166.05/166.47 Kept: 169909
% 166.05/166.47 Inuse: 1381
% 166.05/166.47 Deleted: 9500
% 166.05/166.47 Deletedinuse: 151
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 1039642
% 166.05/166.47 Kept: 171979
% 166.05/166.47 Inuse: 1409
% 166.05/166.47 Deleted: 9500
% 166.05/166.47 Deletedinuse: 151
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 1134483
% 166.05/166.47 Kept: 176864
% 166.05/166.47 Inuse: 1463
% 166.05/166.47 Deleted: 9500
% 166.05/166.47 Deletedinuse: 151
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47 Resimplifying inuse:
% 166.05/166.47 Done
% 166.05/166.47
% 166.05/166.47
% 166.05/166.47 Intermediate Status:
% 166.05/166.47 Generated: 1170506
% 166.05/166.47 Kept: 178885
% 166.05/166.47 Inuse: 1492
% 166.05/166.47 Deleted: 9500
% 166.05/166.47 Deletedinuse: 1Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------