TSTP Solution File: LCL786-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL786-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:57:58 EDT 2022
% Result : Timeout 300.06s 300.54s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL786-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 20:31:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.24 *** allocated 10000 integers for termspace/termends
% 0.87/1.24 *** allocated 10000 integers for clauses
% 0.87/1.24 *** allocated 10000 integers for justifications
% 0.87/1.24 Bliksem 1.12
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Automatic Strategy Selection
% 0.87/1.24
% 0.87/1.24 Clauses:
% 0.87/1.24 [
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.87/1.24 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 X, T, 'tc_nat' ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.87/1.24 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.87/1.24 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.24 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.87/1.24 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.87/1.24 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.87/1.24 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.87/1.24 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.87/1.24 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.24 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.87/1.24 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.87/1.24 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.87/1.24 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_List_Otake'( X, 'c_List_Obutlast'( Y, Z ), Z ), 'c_List_Otake'(
% 0.87/1.24 X, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'(
% 0.87/1.24 Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 0.87/1.24 =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.87/1.24 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 0.87/1.24 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.87/1.24 ) ],
% 0.87/1.24 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.24 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.87/1.24 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.87/1.24 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.87/1.24 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.87/1.24 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.24 'tc_nat' ) ) ) ],
% 0.87/1.24 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate1'( X, Y ),
% 0.87/1.24 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.87/1.24 ) ) ) ],
% 0.87/1.24 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oappend'( X, Y, Z ),
% 0.87/1.24 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.87/1.24 ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ) ),
% 0.87/1.24 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ) ],
% 0.87/1.24 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.87/1.24 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.87/1.24 ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.87/1.24 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.87/1.24 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.87/1.24 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.87/1.24 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.87/1.24 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.87/1.24 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 0.87/1.24 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.87/1.24 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ),
% 0.87/1.24 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.87/1.24 ) ) ) ],
% 0.87/1.24 [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.87/1.24 Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.87/1.24 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 0.87/1.24 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.87/1.24 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.24 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.87/1.24 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.87/1.24 Y ) ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 0.87/1.24 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 0.87/1.24 ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.24 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.87/1.24 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.87/1.24 'c_InductTermi_OIT', X ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.87/1.24 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.87/1.24 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.87/1.24 ), Z ), U ) ) ) ],
% 0.87/1.24 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.87/1.24 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.87/1.24 , T ) ) ) ],
% 0.87/1.24 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.87/1.24 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.87/1.24 ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.87/1.24 ), =( X, T ) ],
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X,
% 0.87/1.24 'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.87/1.24 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.87/1.24 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.87/1.24 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.87/1.24 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.87/1.24 ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ), 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.24 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.87/1.24 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.24 [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ),
% 0.87/1.24 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ),
% 0.87/1.24 'tc_List_Olist'( Y ) ) ) ],
% 0.87/1.24 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.87/1.24 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.87/1.24 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.87/1.24 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.87/1.24 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.87/1.24 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.24 'tc_List_Olist'( Z ) ) ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.87/1.24 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.24 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.87/1.24 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 X ), Y ), Z ) ), T ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 X ), Y ), Z ) ), T ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.24 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.87/1.24 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.87/1.24 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.87/1.24 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.87/1.24 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.24 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 0.87/1.24 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 0.87/1.24 Y ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.87/1.24 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.87/1.24 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.87/1.24 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.87/1.24 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.24 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.87/1.24 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.24 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.24 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.24 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.87/1.24 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.87/1.24 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.87/1.24 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.87/1.24 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.87/1.24 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.87/1.24 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.87/1.24 Y ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.87/1.24 Y ) ],
% 0.87/1.24 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.24 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.87/1.24 Y ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.87/1.24 Y ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.87/1.24 Y ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.87/1.24 Y ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.87/1.24 Y ) ],
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.87/1.24 X ) ) ],
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.87/1.24 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.24 T, X ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.87/1.24 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.87/1.24 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 0.87/1.24 , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.87/1.24 'tc_List_Olist'( Z ) ), X ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.87/1.24 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.24 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.87/1.24 ), X ) ],
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.87/1.24 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.24 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.24 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.87/1.24 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.24 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.24 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.87/1.24 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.87/1.24 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.87/1.24 ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.87/1.24 , Z ), Y ), 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.24 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.87/1.24 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.87/1.24 ],
% 0.87/1.24 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.87/1.24 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.87/1.24 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.87/1.24 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.87/1.24 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.87/1.24 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.87/1.24 X ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 0.87/1.24 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.24 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.87/1.24 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.87/1.24 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.87/1.24 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.87/1.24 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.87/1.24 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.87/1.24 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.87/1.24 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.87/1.24 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'(
% 0.87/1.24 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y ), Y ), X ), =( X,
% 0.87/1.24 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.24 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.24 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.24 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.87/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.87/1.24 , 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.87/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.87/1.24 , 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.24 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.24 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.87/1.24 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.24 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.24 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.87/1.24 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.87/1.24 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.24 ) ],
% 0.87/1.24 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.87/1.24 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.87/1.24 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.87/1.24 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.87/1.24 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.87/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.24 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.24 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.87/1.24 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.24 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.87/1.24 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.87/1.24 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.87/1.24 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.87/1.24 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.87/1.24 ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.24 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ),
% 0.87/1.24 Y ), Y ), X ) ],
% 0.87/1.24 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.24 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.87/1.24 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.87/1.24 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.87/1.24 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.87/1.24 T, U, X, Y, Z ), Y, Z ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.87/1.24 , =( 'c_List_Olist_OCons'( X,
% 0.87/1.24 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.87/1.24 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.87/1.24 , =( X, 'c_List_Olist_OCons'( T,
% 0.87/1.24 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.87/1.24 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.87/1.24 , =( Y, 'c_List_Oappend'(
% 0.87/1.24 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.87/1.24 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.87/1.24 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.87/1.24 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.87/1.24 ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.87/1.24 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Olast'( Y
% 0.87/1.24 , Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.87/1.24 , Y ), 'c_List_Olast'( X, Y ) ) ],
% 0.87/1.24 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.87/1.24 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.87/1.24 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.87/1.24 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.87/1.24 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.87/1.24 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.87/1.24 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.87/1.24 ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.87/1.24 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.87/1.24 ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.87/1.24 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.87/1.24 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.87/1.24 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.87/1.24 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', T ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.87/1.24 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ), Z ) )
% 0.87/1.24 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.87/1.24 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.87/1.24 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.87/1.24 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.87/1.24 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Type_Otyping'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), T
% 0.87/1.24 ), Y ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.87/1.24 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.87/1.24 ), Z ) ) ) ],
% 0.87/1.24 [ =( 'c_Type_Oshift'( 'c_Type_Oshift'( X, Y, Z, T ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ), 'c_Type_Oshift'(
% 0.87/1.24 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), U, T ),
% 0.87/1.24 'c_Suc'( Y ), Z, T ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( T,
% 0.87/1.24 'c_List_Oappend'(
% 0.87/1.24 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.87/1.24 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.87/1.24 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.87/1.24 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.87/1.24 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.24 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.87/1.24 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.24 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.87/1.24 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.87/1.24 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.87/1.24 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.87/1.24 ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.87/1.24 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.87/1.24 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.87/1.24 X ), Y ) ), Z ), Y ), X ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.87/1.24 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.87/1.24 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.87/1.24 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.87/1.24 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.87/1.24 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.87/1.24 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.87/1.24 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.87/1.24 ), Z, X ) ) ],
% 0.87/1.24 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.87/1.24 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.87/1.24 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.87/1.24 , Y ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.87/1.24 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.87/1.24 [ =( 'c_Type_Otype_Otype__case'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.87/1.24 hAPP( X, Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.87/1.24 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.87/1.24 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.24 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.87/1.24 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.87/1.24 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.87/1.24 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.87/1.24 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.87/1.24 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.87/1.24 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.87/1.24 , 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.87/1.24 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.24 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.24 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.24 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.87/1.24 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.87/1.24 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.87/1.24 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.87/1.24 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.87/1.24 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldr'( X, Y, Z, T, U ), 'c_List_Ofoldl'( 'c_COMBC'( X, T
% 0.87/1.24 , U, U ), Z, 'c_List_Orev'( Y, T ), U, T ) ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldl'( X, Y, Z, T, U ), 'c_List_Ofoldr'( 'c_COMBC'( X, T
% 0.87/1.24 , U, T ), 'c_List_Orev'( Z, U ), Y, U, T ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.87/1.24 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.87/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.87/1.24 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.87/1.24 ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.87/1.24 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.87/1.24 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.87/1.24 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.87/1.24 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.87/1.24 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.87/1.24 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ), 'c_Wellfounded_Oaccp'(
% 0.87/1.24 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z, 'tc_Lambda_OdB'
% 0.87/1.24 , 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.87/1.24 , =( Y, 'c_List_Oappend'(
% 0.87/1.24 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.87/1.24 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.87/1.24 , =( X, 'c_List_Olist_OCons'( T,
% 0.87/1.24 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.87/1.24 ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.24 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ],
% 0.87/1.24 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.24 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ],
% 0.87/1.24 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.87/1.24 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.87/1.24 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.87/1.24 ), W ), W ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.87/1.24 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.87/1.24 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.87/1.24 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.87/1.24 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.87/1.24 T, U, X, Y, Z ), Y, Z ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.87/1.24 , =( 'c_List_Olist_OCons'( X,
% 0.87/1.24 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.87/1.24 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.24 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.87/1.24 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.87/1.24 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.87/1.24 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.87/1.24 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.87/1.24 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.87/1.24 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.87/1.24 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.87/1.24 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.87/1.24 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.87/1.24 [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.24 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z ), Z
% 0.87/1.24 ), Z ) ) ],
% 0.87/1.24 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.87/1.24 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.87/1.24 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.87/1.24 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.87/1.24 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.87/1.24 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X,
% 0.87/1.24 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 0.87/1.24 ) ), 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_Oliftn'( 'c_Suc'( X ), Y, Z ), hAPP( hAPP(
% 0.87/1.24 'c_Lambda_Olift', 'c_Lambda_Oliftn'( X, Y, Z ) ), Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.87/1.24 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.87/1.24 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.87/1.24 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.87/1.24 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.87/1.24 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.87/1.24 , Y ) ],
% 0.87/1.24 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.87/1.24 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.24 'c_Type_Osko__Type__Xtype__induct__1__1'( X ) ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.87/1.24 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.87/1.24 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.87/1.24 U ) ) ],
% 0.87/1.24 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.24 ), 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.24 ), 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 'c_Type_Osko__Type__Xtyping__elims__3__1'( Y, X, Z ), 'tc_Type_Otype' ) )
% 0.87/1.24 , Z ), 'c_Type_Osko__Type__Xtyping__elims__3__2'( Y, X, Z ) ) ), ~( hBOOL(
% 0.87/1.24 hAPP( hAPP( 'c_Type_Otyping'( X ), 'c_Lambda_OdB_OAbs'( Z ) ), Y ) ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.87/1.24 , X ), 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.87/1.24 ), Z ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.87/1.24 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 Z, X, 'tc_nat' ) ],
% 0.87/1.24 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.87/1.24 Y, T, Z ), Z ) ) ],
% 0.87/1.24 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.87/1.24 T, Y, Z ), Z ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.87/1.24 hAPP( Z, T ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.87/1.24 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.87/1.24 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.87/1.24 =( X, T ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.87/1.24 =( Y, T ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.87/1.24 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.87/1.24 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.87/1.24 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.87/1.24 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.87/1.24 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP(
% 0.87/1.24 'c_COMBC'( 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.87/1.24 'tc_nat', 'tc_Lambda_OdB' ) ), Z ), 'tc_Lambda_OdB', 'tc_nat',
% 0.87/1.24 'tc_Lambda_OdB' ), T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ ~( =( 'c_Type_Otype_OAtom'( X ), 'c_Type_Otype_OAtom'( Y ) ) ), =( X,
% 0.87/1.24 Y ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.87/1.24 , 'c_List_Olist_ONil'( T ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.87/1.24 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.87/1.24 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.87/1.24 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.87/1.24 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.87/1.24 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.87/1.24 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.87/1.24 'tc_nat' ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.87/1.24 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.87/1.24 , 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.87/1.24 , 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.87/1.24 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.87/1.24 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.87/1.24 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ =( 'c_Type_Otype_Otype__rec'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.87/1.24 hAPP( X, Z ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.24 , X ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.24 , Y, X ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.24 , Y, X ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.87/1.24 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.87/1.24 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.87/1.24 ), U ) ) ],
% 0.87/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.24 ), =( Z, Y ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.24 ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.87/1.24 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.24 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.24 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.24 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.24 ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.87/1.24 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.87/1.24 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.87/1.24 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.87/1.24 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.87/1.24 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.87/1.24 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.87/1.24 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.87/1.24 ,
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.87/1.24 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.87/1.24 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.87/1.24 'tc_nat', 'tc_Lambda_OdB' ), Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.24 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.24 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.87/1.24 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.87/1.24 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.87/1.24 X ) ],
% 0.87/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.87/1.24 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Y ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.87/1.24 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.87/1.24 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.87/1.24 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.87/1.24 ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.87/1.24 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.87/1.24 ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.87/1.24 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.24 'c_InductTermi_OIT', X ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.87/1.24 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.87/1.24 ) ), =( X, T ) ],
% 0.87/1.24 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.87/1.24 ) ), =( Y, U ) ],
% 0.87/1.24 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.87/1.24 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.24 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.87/1.24 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.24 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.87/1.24 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.87/1.24 ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.87/1.24 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.87/1.24 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.24 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( hAPP( 'c_COMBC'(
% 0.87/1.24 'c_Lambda_Olift', 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'(
% 0.87/1.24 'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.87/1.24 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.24 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.87/1.24 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.87/1.24 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.24 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.24 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z,
% 0.87/1.24 'tc_Type_Otype' ) ), hAPP( hAPP( 'c_Lambda_Olift', T ), Y ) ), U ) ), ~(
% 0.87/1.24 hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), T ), U ) ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), 'c_Type_Otype_OAtom'(
% 0.87/1.24 Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( 'v_e____' ), 'v_u____' ),
% 0.87/1.24 'v_T____' ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.87/1.24 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.87/1.24 Z ) ) ) ],
% 0.87/1.24 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.87/1.24 Z, X, T, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ),
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.87/1.24 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.87/1.24 ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.87/1.24 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.87/1.24 ],
% 0.87/1.24 [ =( X, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.87/1.24 'c_Type_Osko__Type__Xtyping__elims__3__1'( X, Y, Z ) ),
% 0.87/1.24 'c_Type_Osko__Type__Xtyping__elims__3__2'( X, Y, Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Type_Otyping'( Y ), 'c_Lambda_OdB_OAbs'( Z ) ), X ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.87/1.24 Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Lambda_Obeta', T ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( X ), T ), Z ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.87/1.24 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.87/1.24 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.87/1.24 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.87/1.24 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.87/1.24 ), X ), Y ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.87/1.24 Z, U ), W ) ) ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.87/1.24 Z, U ), W ) ) ) ],
% 0.87/1.24 [ 'c_List_Olistsp'( 'c_COMBB'( 'c_Ex'( 'tc_Type_Otype' ),
% 0.87/1.24 'c_Type_Otyping'( X ), 'tc_fun'( 'tc_Type_Otype', 'tc_bool' ), 'tc_bool'
% 0.87/1.24 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ), ~( 'c_Type_Otypings'( X, Y, Z
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.87/1.24 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.87/1.24 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.87/1.24 Z, X, T, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ),
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.87/1.24 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.87/1.24 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.87/1.24 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( Z ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.87/1.24 ), ~( 'c_Type_Otypings'( Z, W, V0 ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( Z ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.87/1.24 ), Y ) ) ) ],
% 0.87/1.24 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.87/1.24 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.87/1.24 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.87/1.24 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.87/1.24 , Z ) ) ],
% 0.87/1.24 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.87/1.24 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.87/1.24 , Y ) ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.87/1.24 ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( X ), Y ), hAPP( hAPP( 'c_Type_Otype_OFun', U ), T ) ) )
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.87/1.24 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( Z ),
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( Z ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.87/1.24 ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.87/1.24 , Y ) ],
% 0.87/1.24 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.87/1.24 hAPP( X, T ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.87/1.24 Z ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.87/1.24 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ) ) ],
% 0.87/1.24 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.87/1.24 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.87/1.24 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( W ), T ), Y ) ) ), ~(
% 0.87/1.24 hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype' ) ), Z ), V0
% 0.87/1.24 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.87/1.24 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.87/1.24 hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Z ), T )
% 0.87/1.24 , U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( W ), T ), X ) ) ), ~(
% 0.87/1.24 hBOOL( hAPP( 'c_InductTermi_OIT', T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype' ) ), Z ), V0
% 0.87/1.24 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.87/1.24 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), 'c_Lambda_OdB_OAbs'( Y ) ),
% 0.87/1.24 hAPP( hAPP( 'c_Type_Otype_OFun', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.24 'tc_nat' ), Z, 'tc_Type_Otype' ) ), Y ), T ) ) ) ],
% 0.87/1.24 [ =( 'v_n____', 'v_i____' ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.87/1.24 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ),
% 0.87/1.24 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.87/1.24 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.87/1.24 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.87/1.24 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.87/1.24 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.87/1.24 ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______',
% 0.87/1.24 'v_ia______', 'v_T____', 'tc_Type_Otype' ) ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____',
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'v_T_Ha______' ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), Y ), 'c_List_Ofoldr'(
% 0.87/1.24 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X,
% 0.87/1.24 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( 'v_ea______' ), 'v_ua______' ),
% 0.87/1.24 'v_T____' ) ) ],
% 0.87/1.24 [ 'v_thesis____', ~( 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____',
% 0.87/1.24 'v_i____', 'v_T____', 'tc_Type_Otype' ), 'v_as____', X ) ), ~( hBOOL(
% 0.87/1.24 hAPP( hAPP( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 0.87/1.24 'v_T____', 'tc_Type_Otype' ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OVar'( 'v_n____' ) ), 'v_a____' ) ), 'c_List_Ofoldr'(
% 0.87/1.24 'c_Type_Otype_OFun', X, 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) )
% 0.87/1.24 ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), 'c_Lambda_OdB_OVar'( Y ) ),
% 0.87/1.24 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.87/1.24 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, Y, T ), Z,
% 0.87/1.24 'tc_Type_Otype', 'tc_Type_Otype' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OVar'( Y ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) )
% 0.87/1.24 ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 0.87/1.24 'v_i____', 'v_T____', 'tc_Type_Otype' ) ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____',
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'v_T_H____' ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), T ) ),
% 0.87/1.24 ~( 'c_Type_Otypings'( X, Z, U ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'(
% 0.87/1.24 X ), Y ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T, 'tc_Type_Otype',
% 0.87/1.24 'tc_Type_Otype' ) ) ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.87/1.24 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), Y ),
% 0.87/1.24 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, T, Y ) ) ), ~( hBOOL(
% 0.87/1.24 hAPP( hAPP( 'c_Type_Otyping'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', T ),
% 0.87/1.24 Y ) ), Z ) ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.87/1.24 hAPP( X, T ) ) ],
% 0.87/1.24 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.87/1.24 Z, X, T, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ),
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.87/1.24 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.87/1.24 [ =( 'c_Type_Otype_Otype__rec'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun', Z
% 0.87/1.24 ), T ), U ), hAPP( hAPP( hAPP( hAPP( Y, Z ), T ),
% 0.87/1.24 'c_Type_Otype_Otype__rec'( X, Y, Z, U ) ), 'c_Type_Otype_Otype__rec'( X,
% 0.87/1.24 Y, T, U ) ) ) ],
% 0.87/1.24 [ 'c_Type_Otypings'( X, 'c_List_Omap'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'(
% 0.87/1.24 'c_Lambda_Osubst', 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'( 'tc_nat',
% 0.87/1.24 'tc_Lambda_OdB' ) ), Y ), 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), Z
% 0.87/1.24 ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), U ), ~( 'c_Type_Otypings'(
% 0.87/1.24 'c_Type_Oshift'( X, Z, W, 'tc_Type_Otype' ), T, U ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Type_Otyping'( X ), Y ), W ) ) ) ],
% 0.87/1.24 [ =( 'c_Type_Otype_Otype__case'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.87/1.24 Z ), T ), U ), hAPP( hAPP( Y, Z ), T ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), 'c_Lambda_OdB_OVar'( Y ) ),
% 0.87/1.24 hAPP( X, Y ) ) ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.87/1.24 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.87/1.24 Z, T ), U ) ) ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.87/1.24 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.87/1.24 Z, T ), U ) ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.87/1.24 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.87/1.24 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.87/1.24 , Z, U, W ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_Type_Otype_OAtom'( X ), hAPP( hAPP( 'c_Type_Otype_OFun', Y )
% 0.87/1.24 , Z ) ) ) ],
% 0.87/1.24 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.87/1.24 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.87/1.24 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.87/1.24 Z, T, X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ),
% 0.87/1.24 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), T ) ) ), ~( 'c_Type_Otypings'( X, W
% 0.87/1.24 , V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.87/1.24 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.87/1.24 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.87/1.24 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.87/1.24 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.87/1.24 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.87/1.24 [ 'c_Type_Otypings'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.87/1.24 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.87/1.24 'tc_nat', 'tc_Lambda_OdB' ), Y ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.87/1.24 U ), ~( 'c_Type_Otypings'( X, T, U ) ) ],
% 0.87/1.24 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 0.87/1.24 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.24 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.87/1.24 'tc_Lambda_OdB' ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), Y ), 'c_List_Ofoldr'(
% 0.87/1.24 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X,
% 0.87/1.24 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.24 'c_Type_Otyping'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.87/1.24 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.87/1.24 ) ) ) ],
% 0.87/1.24 [ ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), Y ), Z ) ) ), ~( hBOOL(
% 0.87/1.24 hAPP( hAPP( 'c_Type_Otyping'( 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' )
% 0.87/1.24 ), U ), W ) ) ), hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), hAPP( hAPP(
% 0.87/1.24 hAPP( 'c_Lambda_Osubst', U ), Y ), T ) ), W ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.87/1.24 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.87/1.24 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.87/1.24 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.87/1.24 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.87/1.24 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), Y ), hAPP( hAPP(
% 0.87/1.24 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y,
% 0.87/1.24 T ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Type_Otyping'( X ), hAPP( hAPP(
% 0.87/1.24 'c_Lambda_OdB_OApp', Y ), T ) ), Z ) ) ) ],
% 0.87/1.24 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.87/1.24 Z ) ) ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 0.87/1.24 'v_i____', 'v_T____', 'tc_Type_Otype' ) ), 'c_List_Ofoldl'(
% 0.87/1.24 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.87/1.24 'v_n____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.87/1.24 ) ), 'v_T_H____' ) ) ],
% 0.87/1.24 [ ~( 'v_thesis____' ) ],
% 0.87/1.24 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.24 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.24 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.24 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.24 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.87/1.24 ],
% 0.87/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.87/1.24 ) ],
% 0.87/1.24 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.24 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.24 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.24 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.87/1.24 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.87/1.24 ] .
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 percentage equality = 0.477273, percentage horn = 0.881960
% 0.87/1.24 This is a problem with some equality
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 Options Used:
% 0.87/1.24
% 0.87/1.24 useres = 1
% 0.87/1.24 useparamod = 1
% 0.87/1.24 useeqrefl = 1
% 0.87/1.24 useeqfact = 1
% 0.87/1.24 usefactor = 1
% 0.87/1.24 usesimpsplitting = 0
% 0.87/1.24 usesimpdemod = 5
% 0.87/1.24 usesimpres = 3
% 0.87/1.24
% 0.87/1.24 resimpinuse = 1000
% 0.87/1.24 resimpclauses = 20000
% 0.87/1.24 substype = eqrewr
% 0.87/1.24 backwardsubs = 1
% 0.87/1.24 selectoldest = 5
% 0.87/1.24
% 0.87/1.24 litorderings [0] = split
% 0.87/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.24
% 0.87/1.24 termordering = kbo
% 0.87/1.24
% 0.87/1.24 litapriori = 0
% 0.87/1.24 termapriori = 1
% 0.87/1.24 litaposteriori = 0
% 0.87/1.24 termaposteriori = 0
% 0.87/1.24 demodaposteriori = 0
% 0.87/1.24 ordereqreflfact = 0
% 0.87/1.24
% 0.87/1.24 litselect = negord
% 0.87/1.24
% 0.87/1.24 maxweight = 15
% 0.87/1.24 maxdepth = 30000
% 0.87/1.24 maxlength = 115
% 0.87/1.24 maxnrvars = 195
% 0.87/1.24 excuselevel = 1
% 0.87/1.24 increasemaxweight = 1
% 0.87/1.24
% 0.87/1.24 maxselected = 10000000
% 0.87/1.24 maxnrclauses = 10000000
% 0.87/1.24
% 0.87/1.24 showgenerated = 0
% 0.87/1.24 showkept = 0
% 0.87/1.24 showselected = 0
% 0.87/1.24 showdeleted = 0
% 0.87/1.24 showresimp = 1
% 0.87/1.24 showstatus = 2000
% 0.87/1.24
% 0.87/1.24 prologoutput = 1
% 0.87/1.24 nrgoals = 5000000
% 0.87/1.24 totalproof = 1
% 0.87/1.24
% 0.87/1.24 Symbols occurring in the translation:
% 0.87/1.24
% 0.87/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.24 . [1, 2] (w:1, o:148, a:1, s:1, b:0),
% 0.87/1.24 ! [4, 1] (w:0, o:109, a:1, s:1, b:0),
% 0.87/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.24 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:114, a:1
% 0.87/1.24 , s:1, b:0),
% 0.87/1.24 'c_HOL_Oplus__class_Oplus' [41, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.87/1.24 hAPP [43, 2] (w:1, o:173, a:1, s:1, b:0),
% 0.87/1.24 'class_OrderedGroup_Ocomm__monoid__add' [45, 1] (w:1, o:117, a:1, s:1
% 0.87/1.24 , b:0),
% 0.87/1.24 'tc_nat' [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.87/1.24 'c_HOL_Oord__class_Oless' [52, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.87/1.24 'class_OrderedGroup_Osemigroup__add' [55, 1] (w:1, o:118, a:1, s:1
% 0.87/1.24 , b:0),
% 0.87/1.24 'c_List_Ofoldl' [57, 5] (w:1, o:208, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Oreplicate' [58, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Orev' [59, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.87/1.24 'class_Nat_Osemiring__char__0' [60, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.87/1.24 'c_Nat_Osemiring__1__class_Oof__nat' [61, 2] (w:1, o:175, a:1, s:1
% 0.87/1.24 , b:0),
% 0.87/1.24 'class_Ring__and__Field_Oidom' [62, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.87/1.24 'class_Int_Onumber__ring' [63, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.87/1.24 'c_HOL_Ozero__class_Ozero' [64, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.87/1.24 'c_Suc' [65, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Olist_OCons' [67, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Otake' [68, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.87/1.24 'class_OrderedGroup_Olordered__ab__group__add' [69, 1] (w:1, o:123
% 0.87/1.24 , a:1, s:1, b:0),
% 0.87/1.24 'c_Transitive__Closure_Ortranclp' [73, 2] (w:1, o:176, a:1, s:1, b:0)
% 0.87/1.24 ,
% 0.87/1.24 hBOOL [74, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Olist_ONil' [75, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.87/1.24 'c_ListOrder_Ostep1' [76, 4] (w:1, o:196, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Obutlast' [77, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.87/1.24 'tc_List_Olist' [78, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.87/1.24 'c_Nat_Osize__class_Osize' [79, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Omap' [82, 4] (w:1, o:197, a:1, s:1, b:0),
% 0.87/1.24 'c_fequal' [84, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.87/1.24 'c_Predicate_Oconversep' [85, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Orotate1' [86, 2] (w:1, o:179, a:1, s:1, b:0),
% 0.87/1.24 'c_List_Oappend' [87, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.87/1.24 'c_InductTermi_OIT' [91, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.87/1.24 'c_Lambda_Obeta' [92, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.87/1.24 'tc_Lambda_OdB' [93, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.87/1.24 'c_Wellfounded_Oaccp' [94, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.87/1.24 'class_OrderedGroup_Oab__group__add' [100, 1] (w:1, o:128, a:1, s:1
% 0.87/1.24 , b:0),
% 0.87/1.24 'class_OrderedGroup_Oab__semigroup__add' [101, 1] (w:1, o:129, a:1
% 0.87/1.24 , s:1, b:0),
% 0.87/1.24 'class_OrderedGroup_Ocancel__ab__semigroup__add' [106, 1] (w:1, o:130
% 0.87/1.24 , a:1, s:1, b:0),
% 0.87/1.24 'class_OrderedGroup_Ocancel__semigroup__add' [107, 1] (w:1, o:131, a:
% 0.87/1.24 1, s:1, b:0),
% 0.87/1.24 'c_List_Olast' [108, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.87/1.24 'class_OrderedGroup_Omonoid__add' [109, 1] (w:1, o:132, a:1, s:1, b:0
% 0.87/1.24 ),
% 0.87/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [110, 1]
% 0.87/1.24 (w:1, o:133, a:1, s:1, b:0),
% 6.93/7.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [111, 1]
% 6.93/7.37 (w:1, o:134, a:1, s:1, b:0),
% 6.93/7.37 'class_Ring__and__Field_Osemiring__1' [112, 1] (w:1, o:135, a:1, s:1
% 6.93/7.37 , b:0),
% 6.93/7.37 'class_Ring__and__Field_Oordered__semidom' [113, 1] (w:1, o:136, a:1
% 6.93/7.37 , s:1, b:0),
% 6.93/7.37 'class_OrderedGroup_Opordered__comm__monoid__add' [114, 1] (w:1, o:
% 6.93/7.37 137, a:1, s:1, b:0),
% 6.93/7.37 'class_Ring__and__Field_Oordered__idom' [115, 1] (w:1, o:138, a:1, s:
% 6.93/7.37 1, b:0),
% 6.93/7.37 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1' [116, 5] (w:1, o:
% 6.93/7.37 209, a:1, s:1, b:0),
% 6.93/7.37 'c_List_Osko__List__XCons__eq__append__conv__1__1' [117, 5] (w:1, o:
% 6.93/7.37 210, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_OdB_OApp' [118, 0] (w:1, o:68, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_OdB_OAbs' [122, 1] (w:1, o:139, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_Osubst' [123, 0] (w:1, o:69, a:1, s:1, b:0),
% 6.93/7.37 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [126, 3] (w:
% 6.93/7.37 1, o:189, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_OdB_OVar' [127, 1] (w:1, o:140, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Otyping' [129, 1] (w:1, o:142, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_Olift' [131, 0] (w:1, o:72, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Oshift' [133, 4] (w:1, o:198, a:1, s:1, b:0),
% 6.93/7.37 'c_List_Ofoldr' [134, 5] (w:1, o:211, a:1, s:1, b:0),
% 6.93/7.37 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 6.93/7.37 136, 4] (w:1, o:199, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Otype_OAtom' [145, 1] (w:1, o:143, a:1, s:1, b:0),
% 6.93/7.37 't_a' [146, 0] (w:1, o:82, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Otype_Otype__case' [147, 4] (w:1, o:205, a:1, s:1, b:0),
% 6.93/7.37 'v_u____' [148, 0] (w:1, o:84, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_Oliftn' [149, 3] (w:1, o:190, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_Osubstn' [150, 3] (w:1, o:191, a:1, s:1, b:0),
% 6.93/7.37 'c_COMBC' [151, 4] (w:1, o:206, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Osko__Type__Xtype__induct__1__1' [153, 1] (w:1, o:141, a:1
% 6.93/7.37 , s:1, b:0),
% 6.93/7.37 'c_COMBB' [157, 5] (w:1, o:212, a:1, s:1, b:0),
% 6.93/7.37 'class_Orderings_Oorder' [158, 1] (w:1, o:144, a:1, s:1, b:0),
% 6.93/7.37 'class_Orderings_Opreorder' [159, 1] (w:1, o:145, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Osko__Type__Xtyping__elims__3__1' [160, 3] (w:1, o:192, a:1
% 6.93/7.37 , s:1, b:0),
% 6.93/7.37 'tc_Type_Otype' [161, 0] (w:1, o:88, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Osko__Type__Xtyping__elims__3__2' [162, 3] (w:1, o:193, a:1
% 6.93/7.37 , s:1, b:0),
% 6.93/7.37 'v_ua______' [163, 0] (w:1, o:89, a:1, s:1, b:0),
% 6.93/7.37 'c_List_Olistsp' [165, 3] (w:1, o:194, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_OdB_OdB__case' [168, 5] (w:1, o:213, a:1, s:1, b:0),
% 6.93/7.37 'tc_fun' [169, 2] (w:1, o:181, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Otype_Otype__rec' [171, 4] (w:1, o:207, a:1, s:1, b:0),
% 6.93/7.37 'class_Orderings_Olinorder' [172, 1] (w:1, o:146, a:1, s:1, b:0),
% 6.93/7.37 'c_Lambda_OdB_OdB__rec' [173, 5] (w:1, o:214, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Otype_OFun' [174, 0] (w:1, o:92, a:1, s:1, b:0),
% 6.93/7.37 'v_e____' [177, 0] (w:1, o:93, a:1, s:1, b:0),
% 6.93/7.37 'v_T____' [178, 0] (w:1, o:94, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [181, 4] (w:1, o:200, a:
% 6.93/7.37 1, s:1, b:0),
% 6.93/7.37 'c_Type_Otypings' [182, 3] (w:1, o:195, a:1, s:1, b:0),
% 6.93/7.37 'c_Ex' [184, 1] (w:1, o:147, a:1, s:1, b:0),
% 6.93/7.37 'tc_bool' [185, 0] (w:1, o:95, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [189, 4] (w:1, o:201, a:
% 6.93/7.37 1, s:1, b:0),
% 6.93/7.37 'c_Type_Osko__Type__Xvar__app__types__1__1' [190, 4] (w:1, o:202, a:1
% 6.93/7.37 , s:1, b:0),
% 6.93/7.37 'v_n____' [198, 0] (w:1, o:96, a:1, s:1, b:0),
% 6.93/7.37 'v_i____' [199, 0] (w:1, o:97, a:1, s:1, b:0),
% 6.93/7.37 'v_ea______' [200, 0] (w:1, o:98, a:1, s:1, b:0),
% 6.93/7.37 'v_ia______' [201, 0] (w:1, o:99, a:1, s:1, b:0),
% 6.93/7.37 'v_rs____' [202, 0] (w:1, o:100, a:1, s:1, b:0),
% 6.93/7.37 'v_T_Ha______' [203, 0] (w:1, o:101, a:1, s:1, b:0),
% 6.93/7.37 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [204, 4] (w:1, o:203, a:
% 6.93/7.37 1, s:1, b:0),
% 6.93/7.37 'v_thesis____' [205, 0] (w:1, o:83, a:1, s:1, b:0),
% 6.93/7.37 'v_as____' [206, 0] (w:1, o:102, a:1, s:1, b:0),
% 6.93/7.37 'v_a____' [207, 0] (w:1, o:103, a:1, s:1, b:0),
% 6.93/7.37 'v_T_H____' [208, 0] (w:1, o:104, a:1, s:1, b:0),
% 23.92/24.33 'c_Type_Osko__Type__Xtyping__elims__2__1' [209, 4] (w:1, o:204, a:1
% 23.92/24.33 , s:1, b:0).
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Starting Search:
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 7200
% 23.92/24.33 Kept: 2000
% 23.92/24.33 Inuse: 90
% 23.92/24.33 Deleted: 1
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 14518
% 23.92/24.33 Kept: 4053
% 23.92/24.33 Inuse: 143
% 23.92/24.33 Deleted: 3
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 22979
% 23.92/24.33 Kept: 6493
% 23.92/24.33 Inuse: 184
% 23.92/24.33 Deleted: 3
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 39596
% 23.92/24.33 Kept: 9459
% 23.92/24.33 Inuse: 233
% 23.92/24.33 Deleted: 3
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 48675
% 23.92/24.33 Kept: 11460
% 23.92/24.33 Inuse: 279
% 23.92/24.33 Deleted: 5
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 60897
% 23.92/24.33 Kept: 13860
% 23.92/24.33 Inuse: 330
% 23.92/24.33 Deleted: 6
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 73972
% 23.92/24.33 Kept: 15870
% 23.92/24.33 Inuse: 345
% 23.92/24.33 Deleted: 6
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 87702
% 23.92/24.33 Kept: 18062
% 23.92/24.33 Inuse: 365
% 23.92/24.33 Deleted: 6
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying clauses:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 103458
% 23.92/24.33 Kept: 20073
% 23.92/24.33 Inuse: 383
% 23.92/24.33 Deleted: 148
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 116979
% 23.92/24.33 Kept: 22323
% 23.92/24.33 Inuse: 395
% 23.92/24.33 Deleted: 148
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 124542
% 23.92/24.33 Kept: 24461
% 23.92/24.33 Inuse: 407
% 23.92/24.33 Deleted: 148
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.33 Done
% 23.92/24.33
% 23.92/24.33
% 23.92/24.33 Intermediate Status:
% 23.92/24.33 Generated: 142893
% 23.92/24.33 Kept: 26510
% 23.92/24.33 Inuse: 430
% 23.92/24.33 Deleted: 148
% 23.92/24.33 Deletedinuse: 0
% 23.92/24.33
% 23.92/24.33 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 155923
% 23.92/24.34 Kept: 28533
% 23.92/24.34 Inuse: 475
% 23.92/24.34 Deleted: 149
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 169027
% 23.92/24.34 Kept: 31287
% 23.92/24.34 Inuse: 499
% 23.92/24.34 Deleted: 149
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 178940
% 23.92/24.34 Kept: 33300
% 23.92/24.34 Inuse: 534
% 23.92/24.34 Deleted: 149
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 189953
% 23.92/24.34 Kept: 35355
% 23.92/24.34 Inuse: 564
% 23.92/24.34 Deleted: 149
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 196831
% 23.92/24.34 Kept: 37503
% 23.92/24.34 Inuse: 576
% 23.92/24.34 Deleted: 149
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 209276
% 23.92/24.34 Kept: 39519
% 23.92/24.34 Inuse: 603
% 23.92/24.34 Deleted: 149
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying clauses:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 220421
% 23.92/24.34 Kept: 41668
% 23.92/24.34 Inuse: 634
% 23.92/24.34 Deleted: 485
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 232317
% 23.92/24.34 Kept: 44329
% 23.92/24.34 Inuse: 664
% 23.92/24.34 Deleted: 485
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 249410
% 23.92/24.34 Kept: 46829
% 23.92/24.34 Inuse: 674
% 23.92/24.34 Deleted: 485
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 262002
% 23.92/24.34 Kept: 49301
% 23.92/24.34 Inuse: 689
% 23.92/24.34 Deleted: 485
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 274681
% 23.92/24.34 Kept: 51518
% 23.92/24.34 Inuse: 709
% 23.92/24.34 Deleted: 485
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34
% 23.92/24.34 Intermediate Status:
% 23.92/24.34 Generated: 288676
% 23.92/24.34 Kept: 53788
% 23.92/24.34 Inuse: 724
% 23.92/24.34 Deleted: 485
% 23.92/24.34 Deletedinuse: 0
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 23.92/24.34 Done
% 23.92/24.34
% 23.92/24.34 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 302802
% 53.56/53.99 Kept: 55918
% 53.56/53.99 Inuse: 739
% 53.56/53.99 Deleted: 485
% 53.56/53.99 Deletedinuse: 0
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 318700
% 53.56/53.99 Kept: 58712
% 53.56/53.99 Inuse: 754
% 53.56/53.99 Deleted: 485
% 53.56/53.99 Deletedinuse: 0
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying clauses:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 327038
% 53.56/53.99 Kept: 61147
% 53.56/53.99 Inuse: 769
% 53.56/53.99 Deleted: 645
% 53.56/53.99 Deletedinuse: 0
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 335315
% 53.56/53.99 Kept: 63167
% 53.56/53.99 Inuse: 783
% 53.56/53.99 Deleted: 645
% 53.56/53.99 Deletedinuse: 0
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 342543
% 53.56/53.99 Kept: 65313
% 53.56/53.99 Inuse: 794
% 53.56/53.99 Deleted: 645
% 53.56/53.99 Deletedinuse: 0
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 354451
% 53.56/53.99 Kept: 67328
% 53.56/53.99 Inuse: 818
% 53.56/53.99 Deleted: 645
% 53.56/53.99 Deletedinuse: 0
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 365330
% 53.56/53.99 Kept: 69396
% 53.56/53.99 Inuse: 833
% 53.56/53.99 Deleted: 646
% 53.56/53.99 Deletedinuse: 1
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 374639
% 53.56/53.99 Kept: 71652
% 53.56/53.99 Inuse: 849
% 53.56/53.99 Deleted: 646
% 53.56/53.99 Deletedinuse: 1
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 390048
% 53.56/53.99 Kept: 73715
% 53.56/53.99 Inuse: 879
% 53.56/53.99 Deleted: 646
% 53.56/53.99 Deletedinuse: 1
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 404641
% 53.56/53.99 Kept: 75956
% 53.56/53.99 Inuse: 894
% 53.56/53.99 Deleted: 648
% 53.56/53.99 Deletedinuse: 3
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 417603
% 53.56/53.99 Kept: 78102
% 53.56/53.99 Inuse: 919
% 53.56/53.99 Deleted: 650
% 53.56/53.99 Deletedinuse: 5
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.56/53.99 Generated: 434687
% 53.56/53.99 Kept: 80697
% 53.56/53.99 Inuse: 929
% 53.56/53.99 Deleted: 650
% 53.56/53.99 Deletedinuse: 5
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying clauses:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99 Resimplifying inuse:
% 53.56/53.99 Done
% 53.56/53.99
% 53.56/53.99
% 53.56/53.99 Intermediate Status:
% 53.62/53.99 Generated: 452398
% 53.62/53.99 Kept: 83329
% 53.62/53.99 Inuse: 939
% 53.62/53.99 Deleted: 920
% 53.62/53.99 Deletedinuse: 5
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 474161
% 53.62/53.99 Kept: 85348
% 53.62/53.99 Inuse: 956
% 53.62/53.99 Deleted: 920
% 53.62/53.99 Deletedinuse: 5
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 486555
% 53.62/53.99 Kept: 87624
% 53.62/53.99 Inuse: 969
% 53.62/53.99 Deleted: 920
% 53.62/53.99 Deletedinuse: 5
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 502034
% 53.62/53.99 Kept: 90039
% 53.62/53.99 Inuse: 999
% 53.62/53.99 Deleted: 922
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 517101
% 53.62/53.99 Kept: 92253
% 53.62/53.99 Inuse: 1004
% 53.62/53.99 Deleted: 922
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 540623
% 53.62/53.99 Kept: 95574
% 53.62/53.99 Inuse: 1029
% 53.62/53.99 Deleted: 922
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 558835
% 53.62/53.99 Kept: 98387
% 53.62/53.99 Inuse: 1039
% 53.62/53.99 Deleted: 922
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 580563
% 53.62/53.99 Kept: 102049
% 53.62/53.99 Inuse: 1049
% 53.62/53.99 Deleted: 922
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99 Resimplifying clauses:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 591870
% 53.62/53.99 Kept: 104668
% 53.62/53.99 Inuse: 1059
% 53.62/53.99 Deleted: 1246
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 600044
% 53.62/53.99 Kept: 106679
% 53.62/53.99 Inuse: 1065
% 53.62/53.99 Deleted: 1246
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 620787
% 53.62/53.99 Kept: 109150
% 53.62/53.99 Inuse: 1084
% 53.62/53.99 Deleted: 1246
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 649128
% 53.62/53.99 Kept: 111794
% 53.62/53.99 Inuse: 1094
% 53.62/53.99 Deleted: 1246
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 53.62/53.99 Done
% 53.62/53.99
% 53.62/53.99
% 53.62/53.99 Intermediate Status:
% 53.62/53.99 Generated: 668495
% 53.62/53.99 Kept: 113878
% 53.62/53.99 Inuse: 1104
% 53.62/53.99 Deleted: 1246
% 53.62/53.99 Deletedinuse: 7
% 53.62/53.99
% 53.62/53.99 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 689156
% 156.96/157.44 Kept: 116207
% 156.96/157.44 Inuse: 1114
% 156.96/157.44 Deleted: 1246
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 705549
% 156.96/157.44 Kept: 118832
% 156.96/157.44 Inuse: 1139
% 156.96/157.44 Deleted: 1246
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 714614
% 156.96/157.44 Kept: 121210
% 156.96/157.44 Inuse: 1144
% 156.96/157.44 Deleted: 1246
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 723072
% 156.96/157.44 Kept: 123746
% 156.96/157.44 Inuse: 1149
% 156.96/157.44 Deleted: 1246
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying clauses:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 737728
% 156.96/157.44 Kept: 125909
% 156.96/157.44 Inuse: 1154
% 156.96/157.44 Deleted: 1336
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 752852
% 156.96/157.44 Kept: 128028
% 156.96/157.44 Inuse: 1159
% 156.96/157.44 Deleted: 1336
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 789128
% 156.96/157.44 Kept: 132672
% 156.96/157.44 Inuse: 1175
% 156.96/157.44 Deleted: 1336
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 801365
% 156.96/157.44 Kept: 134817
% 156.96/157.44 Inuse: 1199
% 156.96/157.44 Deleted: 1336
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 808889
% 156.96/157.44 Kept: 138516
% 156.96/157.44 Inuse: 1202
% 156.96/157.44 Deleted: 1336
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 816153
% 156.96/157.44 Kept: 140566
% 156.96/157.44 Inuse: 1211
% 156.96/157.44 Deleted: 1336
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 824398
% 156.96/157.44 Kept: 142592
% 156.96/157.44 Inuse: 1223
% 156.96/157.44 Deleted: 1336
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying clauses:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 856375
% 156.96/157.44 Kept: 145721
% 156.96/157.44 Inuse: 1229
% 156.96/157.44 Deleted: 1599
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 866795
% 156.96/157.44 Kept: 148295
% 156.96/157.44 Inuse: 1235
% 156.96/157.44 Deleted: 1599
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 886350
% 156.96/157.44 Kept: 150625
% 156.96/157.44 Inuse: 1244
% 156.96/157.44 Deleted: 1599
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 906719
% 156.96/157.44 Kept: 153073
% 156.96/157.44 Inuse: 1254
% 156.96/157.44 Deleted: 1599
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 924357
% 156.96/157.44 Kept: 156175
% 156.96/157.44 Inuse: 1274
% 156.96/157.44 Deleted: 1599
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 943347
% 156.96/157.44 Kept: 158198
% 156.96/157.44 Inuse: 1281
% 156.96/157.44 Deleted: 1599
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 962567
% 156.96/157.44 Kept: 160221
% 156.96/157.44 Inuse: 1288
% 156.96/157.44 Deleted: 1599
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 982758
% 156.96/157.44 Kept: 162255
% 156.96/157.44 Inuse: 1292
% 156.96/157.44 Deleted: 1599
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying clauses:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 993900
% 156.96/157.44 Kept: 164304
% 156.96/157.44 Inuse: 1297
% 156.96/157.44 Deleted: 1621
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 1008886
% 156.96/157.44 Kept: 167509
% 156.96/157.44 Inuse: 1309
% 156.96/157.44 Deleted: 1621
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 1018106
% 156.96/157.44 Kept: 169542
% 156.96/157.44 Inuse: 1315
% 156.96/157.44 Deleted: 1621
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 1032684
% 156.96/157.44 Kept: 173384
% 156.96/157.44 Inuse: 1324
% 156.96/157.44 Deleted: 1621
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 1043174
% 156.96/157.44 Kept: 176057
% 156.96/157.44 Inuse: 1339
% 156.96/157.44 Deleted: 1621
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 156.96/157.44 Done
% 156.96/157.44
% 156.96/157.44
% 156.96/157.44 Intermediate Status:
% 156.96/157.44 Generated: 1051974
% 156.96/157.44 Kept: 178487
% 156.96/157.44 Inuse: 1349
% 156.96/157.44 Deleted: 1621
% 156.96/157.44 Deletedinuse: 7
% 156.96/157.44
% 156.96/157.44 Resimplifying inuse:
% 300.06/300.54 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------