TSTP Solution File: LCL777-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL777-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:57:51 EDT 2022
% Result : Unsatisfiable 0.75s 1.16s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL777-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 23:22:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.16 *** allocated 10000 integers for termspace/termends
% 0.75/1.16 *** allocated 10000 integers for clauses
% 0.75/1.16 *** allocated 10000 integers for justifications
% 0.75/1.16 Bliksem 1.12
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Automatic Strategy Selection
% 0.75/1.16
% 0.75/1.16 Clauses:
% 0.75/1.16 [
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 0.75/1.16 Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 0.75/1.16 , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.75/1.16 ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), X ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( X, Y, T ), Z ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 0.75/1.16 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 0.75/1.16 ) ) ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U, T ),
% 0.75/1.16 'c_List_Onth'( X, U, T ) ), =( Y, U ) ],
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( 'c_List_Olist__update'( Y, X,
% 0.75/1.16 'c_List_Onth'( Y, X, Z ), Z ), Y ) ],
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( 'c_List_Onth'(
% 0.75/1.16 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), Y, T ), Z ),
% 0.75/1.16 ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( X, Y, 'c_List_Onth'( X, Y, Z ), Z ), X ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.75/1.16 , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.75/1.16 , T ) ), =( Y, U ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T
% 0.75/1.16 ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'( Y, T, U, Z )
% 0.75/1.16 , Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U, T ),
% 0.75/1.16 'c_List_Onth'( X, U, T ) ), =( Y, U ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.75/1.16 , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T,
% 0.75/1.16 Y, Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Onth'( Y, X,
% 0.75/1.16 Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ), 'c_List_Odrop'(
% 0.75/1.16 'c_Suc'( Y ), X, Z ), Z ), 'c_List_Odrop'( Y, X, Z ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y,
% 0.75/1.16 Z ), Z ), Y ) ],
% 0.75/1.16 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.16 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 0.75/1.16 , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.75/1.16 ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'(
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =(
% 0.75/1.16 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.75/1.16 ), 'c_List_Oappend'( X, T, Y ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) ),
% 0.75/1.16 =( 'c_List_Onth'( Y, X, Z ), T ) ],
% 0.75/1.16 [ =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z, 'c_List_Odrop'(
% 0.75/1.16 'c_Suc'( Y ), X, T ), T ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.75/1.16 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.75/1.16 , Y ), Y ), Z ) ],
% 0.75/1.16 [ =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y,
% 0.75/1.16 Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_List_Odrop'( X, 'c_List_Otl'( Y, Z ), Z ), 'c_List_Otl'(
% 0.75/1.16 'c_List_Odrop'( X, Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.75/1.16 , 'c_List_Odrop'( X, Z, T ) ) ],
% 0.75/1.16 [ =( 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 0.75/1.16 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Otl'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Odrop'( X,
% 0.75/1.16 'c_List_Otl'( Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'(
% 0.75/1.16 Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.75/1.16 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 0.75/1.16 [ =( 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 0.75/1.16 X, 'c_List_Obutlast'( Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Odrop'( 'c_Suc'( X ), Y, Z ), 'c_List_Odrop'( X,
% 0.75/1.16 'c_List_Otl'( Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.75/1.16 ],
% 0.75/1.16 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 0.75/1.16 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.75/1.16 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ],
% 0.75/1.16 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.75/1.16 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.75/1.16 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.75/1.16 , Z ) ) ],
% 0.75/1.16 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.75/1.16 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), Z ) ) ],
% 0.75/1.16 [ =( X, 'c_List_Oappend'( 'c_List_Otake'( Y, X, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ), 'c_List_Odrop'( 'c_Suc'(
% 0.75/1.16 Y ), X, Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_OCons'(
% 0.75/1.16 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ), Z
% 0.75/1.16 ), Z ), 'c_List_Otake'( 'c_Suc'( X ), Y, Z ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.75/1.16 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.75/1.16 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 0.75/1.16 , T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'c_List_Osplice'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.75/1.16 [ =( 'c_List_Osplice'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.75/1.16 [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( T, U, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_OCons'( T, 'c_List_Osplice'( Y, U, Z ), Z ), Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Onth'(
% 0.75/1.16 'c_List_Olist_OCons'( Y, Z, T ), 'c_Int_Onumber__class_Onumber__of'( X,
% 0.75/1.16 'tc_nat' ), T ), Y ) ],
% 0.75/1.16 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.75/1.16 X ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.75/1.16 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.75/1.16 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.75/1.16 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.75/1.16 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.75/1.16 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.75/1.16 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.16 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.75/1.16 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.75/1.16 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.75/1.16 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.75/1.16 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ) ) ) ],
% 0.75/1.16 [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ),
% 0.75/1.16 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ),
% 0.75/1.16 'tc_List_Olist'( Y ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.75/1.16 ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.75/1.16 ) ],
% 0.75/1.16 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.75/1.16 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.16 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.75/1.16 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.75/1.16 , T ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.16 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.75/1.16 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.16 ), Z ), U ) ) ) ],
% 0.75/1.16 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.75/1.16 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.75/1.16 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 'c_List_Onth'(
% 0.75/1.16 X, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'(
% 0.75/1.16 X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.75/1.16 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.75/1.16 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.75/1.16 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.16 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.75/1.16 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.75/1.16 ) ],
% 0.75/1.16 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.75/1.16 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.75/1.16 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.75/1.16 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.75/1.16 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.75/1.16 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate1'( X, Y ),
% 0.75/1.16 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.75/1.16 ) ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.75/1.16 'tc_List_Olist'( Z ) ), X ) ],
% 0.75/1.16 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.75/1.16 ), X ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 0.75/1.16 'c_List_Onth'( Y, T, Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.75/1.16 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Suc'(
% 0.75/1.16 'c_Nat_Osize__class_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.75/1.16 ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 0.75/1.16 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.16 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.75/1.16 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.16 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.75/1.16 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.75/1.16 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.16 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.75/1.16 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_OCons'( 'c_List_Onth'( Y, X, Z )
% 0.75/1.16 , 'c_List_Olist_ONil'( Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.75/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z ), X ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.16 'c_Suc'( X ), 'tc_nat' ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.16 'c_Suc'( X ), 'tc_nat' ) ],
% 0.75/1.16 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.16 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.75/1.16 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.75/1.16 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.16 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.16 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.75/1.16 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.16 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.16 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.75/1.16 ), Z ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.16 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.16 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.75/1.16 ), Z ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.16 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.75/1.16 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.75/1.16 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.75/1.16 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.75/1.16 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Otake'( X, Y, Z ), T, Z ), 'c_List_Onth'( Y
% 0.75/1.16 , T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.16 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.75/1.16 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.16 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( T
% 0.75/1.16 , Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.16 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.75/1.16 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.75/1.16 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.75/1.16 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.75/1.16 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.75/1.16 [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.75/1.16 Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.75/1.16 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Onth'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Y ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ) ],
% 0.75/1.16 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.75/1.16 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.75/1.16 [ =( 'c_List_Otake'( X, 'c_List_Otl'( Y, Z ), Z ), 'c_List_Otl'(
% 0.75/1.16 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Ohd'( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), X
% 0.75/1.16 ), 'c_List_Ohd'( Y, X ) ) ],
% 0.75/1.16 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.75/1.16 , Y ), 'c_List_Olast'( X, Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Olast'( Y
% 0.75/1.16 , Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'(
% 0.75/1.16 'c_List_Ohd'( Y, Z ), 'c_List_Otake'( X, 'c_List_Otl'( Y, Z ), Z ), Z ) )
% 0.75/1.16 , =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'c_List_Ohd'( T, Z ),
% 0.75/1.16 'c_List_Osplice'( Y, 'c_List_Otl'( T, Z ), Z ), Z ), Z ) ), =( T,
% 0.75/1.16 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.75/1.16 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.75/1.16 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.75/1.16 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.75/1.16 ) ],
% 0.75/1.16 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.75/1.16 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.75/1.16 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.75/1.16 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.75/1.16 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.75/1.16 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.75/1.16 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.75/1.16 ],
% 0.75/1.16 [ =( 'c_List_Otake'( X, 'c_List_Obutlast'( Y, Z ), Z ), 'c_List_Otake'(
% 0.75/1.16 X, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'(
% 0.75/1.16 Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_List_Ohd'( X, Y ), 'c_List_Onth'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.16 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.75/1.16 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.75/1.16 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.16 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~(
% 0.75/1.16 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 0.75/1.16 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.16 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.75/1.16 [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.75/1.16 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.16 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 0.75/1.16 ) ), 'tc_nat' ) ) ],
% 0.75/1.16 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X
% 0.75/1.16 , Y, T ) ), ~( 'c_Type_Otypings'( X, 'c_List_Oappend'( T,
% 0.75/1.16 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.16 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.75/1.16 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.75/1.16 T, U, X, Y, Z ), Y, Z ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.75/1.16 , =( 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.75/1.16 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.75/1.16 , =( X, 'c_List_Olist_OCons'( T,
% 0.75/1.16 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.75/1.16 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.75/1.16 , =( Y, 'c_List_Oappend'(
% 0.75/1.16 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.75/1.16 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.75/1.16 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.75/1.16 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.75/1.16 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.75/1.16 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.75/1.16 ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ),
% 0.75/1.16 Y ), Y ), X ) ],
% 0.75/1.16 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.75/1.16 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.75/1.16 ) ],
% 0.75/1.16 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.75/1.16 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.75/1.16 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.75/1.16 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'( X, Y,
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'(
% 0.75/1.16 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y ), Y ), X ), =( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.75/1.16 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.16 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.75/1.16 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.75/1.16 , Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.75/1.16 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.75/1.16 ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.75/1.16 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.75/1.16 , X ), T ) ) ) ],
% 0.75/1.16 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.75/1.16 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.75/1.16 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.75/1.16 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.75/1.16 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.75/1.16 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.75/1.16 Y, T, Z ), Z ) ) ],
% 0.75/1.16 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.75/1.16 T, Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.75/1.16 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.75/1.16 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.75/1.16 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.75/1.16 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.16 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.75/1.16 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.16 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.75/1.16 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.75/1.16 Z ) ) ) ],
% 0.75/1.16 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.75/1.16 Z ) ) ) ],
% 0.75/1.16 [ =( 'c_List_Orotate1'( X, Y ), 'c_List_Oappend'( 'c_List_Otl'( X, Y ),
% 0.75/1.16 'c_List_Olist_OCons'( 'c_List_Ohd'( X, Y ), 'c_List_Olist_ONil'( Y ), Y )
% 0.75/1.16 , Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.75/1.16 X ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.75/1.16 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.75/1.16 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ =( 'c_List_Otl'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.75/1.16 X ) ) ],
% 0.75/1.16 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.75/1.16 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.75/1.16 ) ],
% 0.75/1.16 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.75/1.16 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.75/1.16 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.75/1.16 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.75/1.16 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.75/1.16 ) ],
% 0.75/1.16 [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 0.75/1.16 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.75/1.16 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.75/1.16 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.75/1.16 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.75/1.16 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.75/1.16 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.75/1.16 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.75/1.16 ), 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.75/1.16 ), 'tc_nat' ) ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.75/1.16 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.75/1.16 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.75/1.16 , Y ) ) ) ],
% 0.75/1.16 [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.75/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.75/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.75/1.16 [ =( 'c_List_Olast'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Ohd'( X, Y ) )
% 0.75/1.16 , =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.75/1.16 ), =( X, T ) ],
% 0.75/1.16 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.75/1.16 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.75/1.16 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Ohd'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Olast'( X, Y ) )
% 0.75/1.16 , =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.16 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.75/1.16 'tc_nat' ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.75/1.16 ) ],
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.75/1.16 , X ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.16 , Y, X ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.16 , Y, X ) ) ],
% 0.75/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.75/1.16 ), =( Z, Y ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.75/1.16 ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.75/1.16 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.75/1.16 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.75/1.16 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.75/1.16 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.75/1.16 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.75/1.16 ) ],
% 0.75/1.16 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.75/1.16 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.75/1.16 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.16 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.16 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.75/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.75/1.16 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.75/1.16 [ =( 'c_List_Otl'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Otl'( X, Z ), Y, Z ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.75/1.16 ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Ohd'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Ohd'( X, Z
% 0.75/1.16 ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.75/1.16 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.16 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.75/1.16 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.16 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.16 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.16 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.75/1.16 ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.75/1.16 , Y ) ],
% 0.75/1.16 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.16 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.16 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.75/1.16 'tc_nat' ) ],
% 0.75/1.16 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.75/1.16 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.75/1.16 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.75/1.16 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.75/1.16 , =( Y, 'c_List_Oappend'(
% 0.75/1.16 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.75/1.16 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.75/1.16 , =( X, 'c_List_Olist_OCons'( T,
% 0.75/1.16 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.75/1.16 ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ],
% 0.75/1.16 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ],
% 0.75/1.16 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.75/1.16 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.75/1.16 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.75/1.16 ), W ), W ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.75/1.16 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.75/1.16 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.75/1.16 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.75/1.16 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.75/1.16 T, U, X, Y, Z ), Y, Z ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.75/1.16 , =( 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.75/1.16 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.75/1.16 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.75/1.16 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.75/1.16 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.75/1.16 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.75/1.16 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.75/1.16 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z ), Z
% 0.75/1.16 ), Z ) ) ],
% 0.75/1.16 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.75/1.16 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.75/1.16 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.75/1.16 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.75/1.16 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), X ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.16 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ) ],
% 0.75/1.16 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.75/1.16 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.75/1.16 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.75/1.16 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.75/1.16 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.75/1.16 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.75/1.16 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.16 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.75/1.16 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.16 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.75/1.16 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.16 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.75/1.16 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ) ) ],
% 0.75/1.16 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( T,
% 0.75/1.16 'c_List_Oappend'(
% 0.75/1.16 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.75/1.16 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.75/1.16 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.75/1.16 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.75/1.16 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.75/1.16 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.75/1.16 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.75/1.16 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.16 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.75/1.16 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.75/1.16 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.16 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.75/1.16 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.75/1.16 ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.75/1.16 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.75/1.16 ) ],
% 0.75/1.16 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.75/1.16 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.75/1.16 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.75/1.16 ) ],
% 0.75/1.16 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.75/1.16 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.16 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.75/1.16 ) ],
% 0.75/1.16 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.16 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.16 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.16 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.75/1.16 ) ), =( Y, U ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.75/1.16 ) ), =( X, T ) ],
% 0.75/1.16 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.75/1.16 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.75/1.16 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.75/1.16 ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 0.75/1.16 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.75/1.16 ) ) ) ],
% 0.75/1.16 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.75/1.16 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.75/1.16 , Y ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.75/1.16 Z ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.75/1.16 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.75/1.16 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.75/1.16 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.75/1.16 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.16 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.75/1.16 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.75/1.16 , 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.75/1.16 , 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.75/1.16 , 'c_List_Olist_ONil'( X ) ) ],
% 0.75/1.16 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.75/1.16 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.75/1.16 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.75/1.16 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.75/1.16 =( Y, T ) ],
% 0.75/1.16 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.75/1.16 =( X, T ) ],
% 0.75/1.16 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.75/1.16 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.75/1.16 ,
% 0.75/1.16 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.16 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.75/1.16 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.75/1.16 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.75/1.16 'tc_Lambda_OdB' ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.75/1.16 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.75/1.16 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.75/1.16 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.75/1.16 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.75/1.16 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.75/1.16 Z ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.16 , 'c_Lambda_Osubst'( 'v_r', 'v_s', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.75/1.16 ), 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( 'v_r', 'v_s',
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_ss', 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'( 'v_i' ) ) ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_s' ) ) ],
% 0.75/1.16 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'v_s' ), 'c_Lambda_OdB_OVar'( 'v_i' ) ) ) ) ],
% 0.75/1.16 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( 'v_r', 'v_s',
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Oappend'( 'v_ss',
% 0.75/1.16 'c_List_Olist_OCons'( 'c_Lambda_OdB_OVar'( 'v_i' ), 'c_List_Olist_ONil'(
% 0.75/1.16 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.75/1.16 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.75/1.16 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.75/1.16 'class_Orderings_Opreorder'( Y ) ) ],
% 0.75/1.16 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.75/1.16 'class_Orderings_Oorder'( Y ) ) ],
% 0.75/1.16 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.75/1.16 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.75/1.16 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.75/1.16 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.75/1.16 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.75/1.16 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.75/1.16 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.75/1.16 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.75/1.16 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.75/1.16 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.75/1.16 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.75/1.16 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.75/1.16 ] .
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 percentage equality = 0.564860, percentage horn = 0.848138
% 0.75/1.16 This is a problem with some equality
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Options Used:
% 0.75/1.16
% 0.75/1.16 useres = 1
% 0.75/1.16 useparamod = 1
% 0.75/1.16 useeqrefl = 1
% 0.75/1.16 useeqfact = 1
% 0.75/1.16 usefactor = 1
% 0.75/1.16 usesimpsplitting = 0
% 0.75/1.16 usesimpdemod = 5
% 0.75/1.16 usesimpres = 3
% 0.75/1.16
% 0.75/1.16 resimpinuse = 1000
% 0.75/1.16 resimpclauses = 20000
% 0.75/1.16 substype = eqrewr
% 0.75/1.16 backwardsubs = 1
% 0.75/1.16 selectoldest = 5
% 0.75/1.16
% 0.75/1.16 litorderings [0] = split
% 0.75/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.16
% 0.75/1.16 termordering = kbo
% 0.75/1.16
% 0.75/1.16 litapriori = 0
% 0.75/1.16 termapriori = 1
% 0.75/1.16 litaposteriori = 0
% 0.75/1.16 termaposteriori = 0
% 0.75/1.16 demodaposteriori = 0
% 0.75/1.16 ordereqreflfact = 0
% 0.75/1.16
% 0.75/1.16 litselect = negord
% 0.75/1.16
% 0.75/1.16 maxweight = 15
% 0.75/1.16 maxdepth = 30000
% 0.75/1.16 maxlength = 115
% 0.75/1.16 maxnrvars = 195
% 0.75/1.16 excuselevel = 1
% 0.75/1.16 increasemaxweight = 1
% 0.75/1.16
% 0.75/1.16 maxselected = 10000000
% 0.75/1.16 maxnrclauses = 10000000
% 0.75/1.16
% 0.75/1.16 showgenerated = 0
% 0.75/1.16 showkept = 0
% 0.75/1.16 showselected = 0
% 0.75/1.16 showdeleted = 0
% 0.75/1.16 showresimp = 1
% 0.75/1.16 showstatus = 2000
% 0.75/1.16
% 0.75/1.16 prologoutput = 1
% 0.75/1.16 nrgoals = 5000000
% 0.75/1.16 totalproof = 1
% 0.75/1.16
% 0.75/1.16 Symbols occurring in the translation:
% 0.75/1.16
% 0.75/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.16 . [1, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.75/1.16 ! [4, 1] (w:0, o:80, a:1, s:1, b:0),
% 0.75/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.16 'c_List_Olist_OCons' [43, 3] (w:1, o:142, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Oappend' [44, 3] (w:1, o:143, a:1, s:1, b:0),
% 0.75/1.16 'tc_List_Olist' [45, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.75/1.16 'c_Nat_Osize__class_Osize' [46, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Olist__update' [48, 4] (w:1, o:159, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Olist_ONil' [50, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.75/1.16 'tc_nat' [53, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.75/1.16 'c_HOL_Oord__class_Oless' [54, 3] (w:1, o:144, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Onth' [55, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.75/1.16 'c_Suc' [61, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero' [62, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Odrop' [63, 3] (w:1, o:146, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Ohd' [64, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Otake' [65, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Olast' [71, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Otl' [72, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Obutlast' [73, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.75/1.16 'c_HOL_Oone__class_Oone' [74, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.75/1.16 'c_Int_Onumber__class_Onumber__of' [75, 2] (w:1, o:135, a:1, s:1, b:0
% 0.75/1.16 ),
% 0.75/1.16 'c_Type_Osko__Type__Xvar__app__types__1__1' [80, 4] (w:1, o:160, a:1
% 0.75/1.16 , s:1, b:0),
% 0.75/1.16 'c_Type_Otypings' [81, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.75/1.16 'c_Lambda_OdB_OApp' [82, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.75/1.16 'c_Lambda_OdB_OVar' [83, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.75/1.16 'tc_Lambda_OdB' [85, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Ofoldl' [86, 5] (w:1, o:165, a:1, s:1, b:0),
% 0.75/1.16 'c_Type_Otyping' [87, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.75/1.16 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [89, 4] (w:1, o:161, a:1
% 0.75/1.16 , s:1, b:0),
% 0.75/1.16 hAPP [91, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.75/1.16 'c_Lambda_Oliftn' [93, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Osplice' [94, 3] (w:1, o:148, a:1, s:1, b:0),
% 0.75/1.16 'class_Ring__and__Field_Ozero__neq__one' [97, 1] (w:1, o:91, a:1, s:1
% 0.75/1.16 , b:0),
% 0.75/1.16 'c_Transitive__Closure_Ortranclp' [99, 2] (w:1, o:137, a:1, s:1, b:0)
% 0.75/1.16 ,
% 0.75/1.16 'class_Int_Oring__char__0' [100, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.75/1.16 'class_Int_Onumber__ring' [101, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.75/1.16 'c_Predicate_Oconversep' [102, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.75/1.16 hBOOL [103, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.75/1.16 'class_Ring__and__Field_Osemiring__1' [104, 1] (w:1, o:95, a:1, s:1
% 0.75/1.16 , b:0),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat' [105, 2] (w:1, o:138, a:1, s:1
% 0.75/1.16 , b:0),
% 0.75/1.16 'c_Wellfounded_Oaccp' [110, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.75/1.16 'c_Lambda_Obeta' [112, 0] (w:1, o:61, a:1, s:1, b:0),
% 0.75/1.16 'c_InductTermi_OIT' [113, 0] (w:1, o:62, a:1, s:1, b:0),
% 0.75/1.16 'class_Nat_Osemiring__char__0' [114, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.75/1.16 'c_fequal' [116, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Orotate1' [117, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Oreplicate' [118, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Orev' [119, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.75/1.16 'class_Ring__and__Field_Oordered__semidom' [121, 1] (w:1, o:98, a:1
% 0.75/1.16 , s:1, b:0),
% 0.75/1.16 'c_Lambda_OdB_OAbs' [124, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.75/1.16 'c_Lambda_Osubst' [125, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.75/1.16 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [127, 3] (w:
% 0.75/1.16 1, o:156, a:1, s:1, b:0),
% 0.75/1.16 'c_ListOrder_Ostep1' [128, 4] (w:1, o:162, a:1, s:1, b:0),
% 0.75/1.16 'c_Lambda_Osubstn' [129, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.75/1.16 'c_Type_Osko__Type__Xtypes__snocE__1__2' [131, 4] (w:1, o:163, a:1
% 0.75/1.16 , s:1, b:0),
% 0.75/1.16 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1' [132, 5] (w:1, o:
% 0.75/1.16 166, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Osko__List__XCons__eq__append__conv__1__1' [133, 5] (w:1, o:
% 0.75/1.16 167, a:1, s:1, b:0),
% 0.75/1.16 'c_List_Olistsp' [138, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.75/1.16 'class_Orderings_Oorder' [142, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.75/1.16 'class_Orderings_Opreorder' [143, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.75/1.16 'class_Orderings_Olinorder' [145, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.75/1.16 'class_Ring__and__Field_Oordered__idom' [146, 1] (w:1, o:103, a:1, s:
% 0.75/1.16 1, b:0),
% 0.75/1.16 'c_Lambda_OdB_OdB__size' [148, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.75/1.16 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 0.75/1.16 149, 4] (w:1, o:164, a:1, s:1, b:0),
% 0.75/1.16 'v_r' [157, 0] (w:1, o:70, a:1, s:1, b:0),
% 0.75/1.16 'v_s' [158, 0] (w:1, o:71, a:1, s:1, b:0),
% 0.75/1.16 'v_ss' [159, 0] (w:1, o:72, a:1, s:1, b:0),
% 0.75/1.16 'v_i' [160, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.75/1.16 'tc_fun' [163, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.75/1.16 'tc_bool' [164, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.75/1.16 'tc_Int_Oint' [165, 0] (w:1, o:77, a:1, s:1, b:0).
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Starting Search:
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Bliksems!, er is een bewijs:
% 0.75/1.16 % SZS status Unsatisfiable
% 0.75/1.16 % SZS output start Refutation
% 0.75/1.16
% 0.75/1.16 clause( 237, [ =( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Orotate1'(
% 0.75/1.16 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 257, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.75/1.16 'c_List_Orotate1'( 'c_List_Olist_OCons'( Z, Y, 'tc_Lambda_OdB' ),
% 0.75/1.16 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 287, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_Osubst'( 'v_r', 'v_s', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.75/1.16 , 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'(
% 0.75/1.16 'v_i' ) ) ) ) ] )
% 0.75/1.16 .
% 0.75/1.16 clause( 290, [] )
% 0.75/1.16 .
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 % SZS output end Refutation
% 0.75/1.16 found a proof!
% 0.75/1.16
% 0.75/1.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.16
% 0.75/1.16 initialclauses(
% 0.75/1.16 [ clause( 292, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X,
% 0.75/1.16 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( T ) ), U, T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 0.75/1.16 U, Z, T ), T ) ) ] )
% 0.75/1.16 , clause( 293, [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ),
% 0.75/1.16 'c_List_Olist_ONil'( T ) ) ), =( X, 'c_List_Olist_ONil'( T ) ) ] )
% 0.75/1.16 , clause( 294, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z
% 0.75/1.16 , X ), 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.16 , clause( 295, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z
% 0.75/1.16 , X ), 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.16 , clause( 296, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z
% 0.75/1.16 , X ), 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.16 , clause( 297, [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), X ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( X, Y, T ), Z ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 298, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X,
% 0.75/1.16 Y, Z, T ), 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( T ) ) ) ] )
% 0.75/1.16 , clause( 299, [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U
% 0.75/1.16 , T ), 'c_List_Onth'( X, U, T ) ), =( Y, U ) ] )
% 0.75/1.16 , clause( 300, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =(
% 0.75/1.16 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ] )
% 0.75/1.16 , clause( 301, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =(
% 0.75/1.16 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ] )
% 0.75/1.16 , clause( 302, [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), Y
% 0.75/1.16 , T ), Z ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'(
% 0.75/1.16 X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 303, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T
% 0.75/1.16 , U, Z ), 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z )
% 0.75/1.16 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 304, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T
% 0.75/1.16 , U, Z ), 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z )
% 0.75/1.16 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 305, [ =( 'c_List_Olist__update'( X, Y, 'c_List_Onth'( X, Y, Z )
% 0.75/1.16 , Z ), X ) ] )
% 0.75/1.16 , clause( 306, [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z
% 0.75/1.16 , T ), U, W, T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W
% 0.75/1.16 , T ), Y, Z, T ) ), =( Y, U ) ] )
% 0.75/1.16 , clause( 307, [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z )
% 0.75/1.16 , 'c_Suc'( T ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'(
% 0.75/1.16 Y, T, U, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 308, [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U
% 0.75/1.16 , T ), 'c_List_Onth'( X, U, T ) ), =( Y, U ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 309, [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z
% 0.75/1.16 , T ), Y, U, T ), 'c_List_Olist__update'( X, Y, U, T ) ) ] )
% 0.75/1.16 , clause( 310, [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z )
% 0.75/1.16 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T
% 0.75/1.16 , Y, Z ) ) ] )
% 0.75/1.16 , clause( 311, [ =( 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Onth'( Y, X, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( Y
% 0.75/1.16 , 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.16 , clause( 312, [ =( 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ),
% 0.75/1.16 'c_List_Odrop'( 'c_Suc'( Y ), X, Z ), Z ), 'c_List_Odrop'( Y, X, Z ) ),
% 0.75/1.16 ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 313, [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ),
% 0.75/1.16 'c_List_Odrop'( X, Y, Z ), Z ), Y ) ] )
% 0.75/1.16 , clause( 314, [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.75/1.16 , 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 315, [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'(
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z, Y ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Z,
% 0.75/1.16 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y ), T ) ), ~( =( 'c_List_Otake'(
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~(
% 0.75/1.16 =( Z, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y )
% 0.75/1.16 ), X, Y ) ) ), =( 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.75/1.16 ), 'c_List_Oappend'( X, T, Y ) ) ] )
% 0.75/1.16 , clause( 316, [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_OCons'( T,
% 0.75/1.16 U, Z ) ) ), =( 'c_List_Onth'( Y, X, Z ), T ) ] )
% 0.75/1.16 , clause( 317, [ =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z, 'c_List_Odrop'(
% 0.75/1.16 'c_Suc'( Y ), X, T ), T ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 318, [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.75/1.16 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.75/1.16 , Y ), Y ), Z ) ] )
% 0.75/1.16 , clause( 319, [ =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Olast'( Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 320, [ =( 'c_List_Odrop'( X, 'c_List_Otl'( Y, Z ), Z ),
% 0.75/1.16 'c_List_Otl'( 'c_List_Odrop'( X, Y, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 321, [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y,
% 0.75/1.16 Z, T ), T ), 'c_List_Odrop'( X, Z, T ) ) ] )
% 0.75/1.16 , clause( 322, [ =( 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 0.75/1.16 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 323, [ =( 'c_List_Otl'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Odrop'( X, 'c_List_Otl'( Y, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 324, [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 325, [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.75/1.16 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ] )
% 0.75/1.16 , clause( 326, [ =( 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 327, [ =( 'c_List_Odrop'( 'c_Suc'( X ), Y, Z ), 'c_List_Odrop'( X
% 0.75/1.16 , 'c_List_Otl'( Y, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 328, [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.75/1.16 , X, Y ), X ) ] )
% 0.75/1.16 , clause( 329, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 0.75/1.16 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.75/1.16 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ] )
% 0.75/1.16 , clause( 330, [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 331, [ 'c_Type_Otypings'( X, Y,
% 0.75/1.16 'c_Type_Osko__Type__Xvar__app__types__1__1'( Z, T, X, Y ) ), ~(
% 0.75/1.16 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ) ),
% 0.75/1.16 ~( 'c_Type_Otypings'( X, W, V0 ) ), ~( 'c_Type_Otyping'( X,
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.75/1.16 , clause( 332, [ 'c_Type_Otypings'( X, Y,
% 0.75/1.16 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, T, Y ) ), ~(
% 0.75/1.16 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 333, [ =( X, 'c_List_Oappend'( 'c_List_Otake'( Y, X, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ), 'c_List_Odrop'( 'c_Suc'(
% 0.75/1.16 Y ), X, Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 334, [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Otake'( 'c_Suc'( X ), Y, Z )
% 0.75/1.16 ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 335, [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.16 Y ), Z ), T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y,
% 0.75/1.16 T ) ), 'c_Lambda_Oliftn'( X, Z, T ) ) ) ] )
% 0.75/1.16 , clause( 336, [ =( 'c_List_Onth'( 'c_List_Oappend'( X,
% 0.75/1.16 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( T ) ), T ), Y ) ] )
% 0.75/1.16 , clause( 337, [ =( 'c_List_Osplice'( 'c_List_Olist_ONil'( X ), Y, X ), Y )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 338, [ =( 'c_List_Osplice'( X, 'c_List_Olist_ONil'( Y ), Y ), X )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 339, [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( T, U, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_OCons'( T, 'c_List_Osplice'( Y, U, Z ), Z ), Z ) ) ] )
% 0.75/1.16 , clause( 340, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Onth'(
% 0.75/1.16 'c_List_Olist_OCons'( Y, Z, T ), 'c_Int_Onumber__class_Onumber__of'( X,
% 0.75/1.16 'tc_nat' ), T ), Y ) ] )
% 0.75/1.16 , clause( 341, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 342, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 343, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 344, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 345, [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.75/1.16 ), X, Y ), X ) ] )
% 0.75/1.16 , clause( 346, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ] )
% 0.75/1.16 , clause( 347, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.75/1.16 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 0.75/1.16 , clause( 348, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.75/1.16 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 349, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 350, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.75/1.16 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 351, [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 0.75/1.16 , clause( 352, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 0.75/1.16 , clause( 353, [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 354, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 0.75/1.16 , clause( 355, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.75/1.16 =( 'c_Suc'( X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 356, [ ~( 'class_Int_Oring__char__0'( X ) ), ~(
% 0.75/1.16 'class_Int_Onumber__ring'( X ) ), ~( =(
% 0.75/1.16 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.75/1.16 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 0.75/1.16 , clause( 357, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.75/1.16 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ] )
% 0.75/1.16 , clause( 358, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.16 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ] )
% 0.75/1.16 , clause( 359, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.75/1.16 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.75/1.16 , clause( 360, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 0.75/1.16 , clause( 361, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T
% 0.75/1.16 ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 0.75/1.16 , clause( 362, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 0.75/1.16 , clause( 363, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T
% 0.75/1.16 ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 0.75/1.16 , clause( 364, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y
% 0.75/1.16 , Z ), 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y,
% 0.75/1.16 'tc_List_Olist'( Z ) ) ) ) ] )
% 0.75/1.16 , clause( 365, [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.75/1.16 Y ) ) ), 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ),
% 0.75/1.16 'tc_List_Olist'( Y ) ) ) ] )
% 0.75/1.16 , clause( 366, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.16 ), Z ), Z ) ) ] )
% 0.75/1.16 , clause( 367, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.16 ), Z ), Z ) ) ] )
% 0.75/1.16 , clause( 368, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.75/1.16 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 0.75/1.16 , clause( 369, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'(
% 0.75/1.16 X, T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X,
% 0.75/1.16 Z ), Y ), T ) ) ) ] )
% 0.75/1.16 , clause( 370, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.16 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 0.75/1.16 , clause( 371, [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB'
% 0.75/1.16 ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 0.75/1.16 , clause( 372, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~(
% 0.75/1.16 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.16 , clause( 373, [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.75/1.16 'c_List_Onth'( X, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 374, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 0.75/1.16 , clause( 375, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.75/1.16 , clause( 376, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.75/1.16 , clause( 377, [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 0.75/1.16 , clause( 378, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.16 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 0.75/1.16 , clause( 379, [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ),
% 0.75/1.16 'c_fequal'( X ) ) ] )
% 0.75/1.16 , clause( 380, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.75/1.16 ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 381, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ),
% 0.75/1.16 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 0.75/1.16 , clause( 382, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ),
% 0.75/1.16 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ] )
% 0.75/1.16 , clause( 383, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate1'( X, Y ),
% 0.75/1.16 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.75/1.16 ) ) ) ] )
% 0.75/1.16 , clause( 384, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 385, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 386, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.75/1.16 ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 387, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y,
% 0.75/1.16 Z ), 'tc_List_Olist'( Z ) ), X ) ] )
% 0.75/1.16 , clause( 388, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X,
% 0.75/1.16 Y, Z ), Z, Y ), X ) ] )
% 0.75/1.16 , clause( 389, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'(
% 0.75/1.16 T ), Z ), 'c_List_Onth'( Y, T, Z ) ) ] )
% 0.75/1.16 , clause( 390, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 0.75/1.16 , clause( 391, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 0.75/1.16 , clause( 392, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 393, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.75/1.16 ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 394, [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.75/1.16 'c_Suc'( 'c_Nat_Osize__class_Osize'( 'c_List_Otl'( X, Y ),
% 0.75/1.16 'tc_List_Olist'( Y ) ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 395, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ),
% 0.75/1.16 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.75/1.16 ) ) ) ] )
% 0.75/1.16 , clause( 396, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.16 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ] )
% 0.75/1.16 , clause( 397, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.16 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 0.75/1.16 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 0.75/1.16 , clause( 398, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X
% 0.75/1.16 , Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 0.75/1.16 , clause( 399, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X
% 0.75/1.16 , Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 0.75/1.16 , clause( 400, [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_OCons'( 'c_List_Onth'( Y, X, Z )
% 0.75/1.16 , 'c_List_Olist_ONil'( Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 401, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.75/1.16 , clause( 402, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.75/1.16 , clause( 403, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.75/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 0.75/1.16 , clause( 404, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.75/1.16 , clause( 405, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 406, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 0.75/1.16 , clause( 407, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z ), X ) ] )
% 0.75/1.16 , clause( 408, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 0.75/1.16 , clause( 409, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 0.75/1.16 , clause( 410, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 411, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 412, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.75/1.16 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 413, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y )
% 0.75/1.16 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'(
% 0.75/1.16 Y ) ) ] )
% 0.75/1.16 , clause( 414, [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ] )
% 0.75/1.16 , clause( 415, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.75/1.16 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.75/1.16 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.75/1.16 ), Z ) ) ) ] )
% 0.75/1.16 , clause( 416, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.75/1.16 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.75/1.16 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 0.75/1.16 , clause( 417, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.75/1.16 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.75/1.16 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 0.75/1.16 , clause( 418, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ),
% 0.75/1.16 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.75/1.16 ), Y ) ) ) ] )
% 0.75/1.16 , clause( 419, [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y,
% 0.75/1.16 Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 420, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.75/1.16 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 421, [ =( 'c_List_Onth'( 'c_List_Otake'( X, Y, Z ), T, Z ),
% 0.75/1.16 'c_List_Onth'( Y, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat'
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 422, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.75/1.16 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.75/1.16 , Y ), T ) ) ) ] )
% 0.75/1.16 , clause( 423, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.75/1.16 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.75/1.16 ), T ) ) ) ] )
% 0.75/1.16 , clause( 424, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.75/1.16 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.75/1.16 ), T ) ) ) ] )
% 0.75/1.16 , clause( 425, [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.75/1.16 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.75/1.16 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 0.75/1.16 , clause( 426, [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.75/1.16 'tc_List_Olist'( Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ] )
% 0.75/1.16 , clause( 427, [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 428, [ =( 'c_List_Onth'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ),
% 0.75/1.16 Y ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 429, [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z
% 0.75/1.16 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), T ), Y ) ) ) ] )
% 0.75/1.16 , clause( 430, [ =( 'c_List_Otake'( X, 'c_List_Otl'( Y, Z ), Z ),
% 0.75/1.16 'c_List_Otl'( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 431, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.16 , clause( 432, [ =( 'c_List_Ohd'( 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.75/1.16 ), Y, X ), X ), 'c_List_Ohd'( Y, X ) ) ] )
% 0.75/1.16 , clause( 433, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 0.75/1.16 , clause( 434, [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.16 , clause( 435, [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( 'c_List_Ohd'( Y, Z ), 'c_List_Otake'( X,
% 0.75/1.16 'c_List_Otl'( Y, Z ), Z ), Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.16 , clause( 436, [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z
% 0.75/1.16 ), 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'c_List_Ohd'( T, Z ),
% 0.75/1.16 'c_List_Osplice'( Y, 'c_List_Otl'( T, Z ), Z ), Z ), Z ) ), =( T,
% 0.75/1.16 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.16 , clause( 437, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 0.75/1.16 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'(
% 0.75/1.16 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 0.75/1.16 , clause( 438, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_OdB_OVar'( Y ),
% 0.75/1.16 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.16 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.75/1.16 ) ] )
% 0.75/1.16 , clause( 439, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.75/1.16 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.75/1.16 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ] )
% 0.75/1.16 , clause( 440, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.75/1.16 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.75/1.16 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 0.75/1.16 , clause( 441, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.75/1.16 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.75/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.75/1.16 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 442, [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.75/1.16 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 443, [ =( 'c_List_Otake'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 0.75/1.16 'c_List_Otake'( X, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.16 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 444, [ =( 'c_List_Ohd'( X, Y ), 'c_List_Onth'( X,
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y ) ), =( X, 'c_List_Olist_ONil'(
% 0.75/1.16 Y ) ) ] )
% 0.75/1.16 , clause( 445, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.16 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.75/1.16 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 0.75/1.16 , clause( 446, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.75/1.16 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.75/1.16 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.75/1.16 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.16 , clause( 447, [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.75/1.16 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ) ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) )
% 0.75/1.16 , ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 0.75/1.16 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.16 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.75/1.16 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 0.75/1.16 , clause( 448, [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.75/1.16 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Z ), Z ) ) ] )
% 0.75/1.16 , clause( 449, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.75/1.16 'tc_nat' ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 450, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.75/1.16 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 451, [ 'c_Type_Otyping'( X, Y,
% 0.75/1.16 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X, Y, T ) ), ~(
% 0.75/1.16 'c_Type_Otypings'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 0.75/1.16 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.75/1.16 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.75/1.16 , clause( 452, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T
% 0.75/1.16 , U, Z ) ) ), =( 'c_List_Oappend'(
% 0.75/1.16 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 0.75/1.16 ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 0.75/1.16 , clause( 453, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T
% 0.75/1.16 , U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.75/1.16 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 0.75/1.16 , clause( 454, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T
% 0.75/1.16 , U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 0.75/1.16 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.75/1.16 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 0.75/1.16 , clause( 455, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T
% 0.75/1.16 , U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 0.75/1.16 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.75/1.16 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 0.75/1.16 , clause( 456, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.75/1.16 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.75/1.16 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 457, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.75/1.16 , 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.75/1.16 Y ) ) ] )
% 0.75/1.16 , clause( 458, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.16 , clause( 459, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 0.75/1.16 , clause( 460, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.75/1.16 ), 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 0.75/1.16 , clause( 461, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 0.75/1.16 , clause( 462, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 463, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X,
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ), Y ), X ) ] )
% 0.75/1.16 , clause( 464, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 0.75/1.16 , 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.75/1.16 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.16 , clause( 465, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 466, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z )
% 0.75/1.16 ) ), =( Y, 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 467, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.75/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ] )
% 0.75/1.16 , clause( 468, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.75/1.16 , X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 469, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'(
% 0.75/1.16 Z ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 470, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z
% 0.75/1.16 , X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.75/1.16 , clause( 471, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'(
% 0.75/1.16 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ] )
% 0.75/1.16 , clause( 472, [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ),
% 0.75/1.16 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y
% 0.75/1.16 ), Y ), X ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 473, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X )
% 0.75/1.16 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 0.75/1.16 , clause( 474, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 475, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 0.75/1.16 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 0.75/1.16 , clause( 476, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.75/1.16 ) ] )
% 0.75/1.16 , clause( 477, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.75/1.16 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ] )
% 0.75/1.16 , clause( 478, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.75/1.16 ) ] )
% 0.75/1.16 , clause( 479, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X
% 0.75/1.16 , Y, Z ) ), 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.16 'c_Lambda_Obeta', X ), T ) ) ) ] )
% 0.75/1.16 , clause( 480, [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.75/1.16 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 481, [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ),
% 0.75/1.16 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z
% 0.75/1.16 , U, T ), T ) ] )
% 0.75/1.16 , clause( 482, [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ),
% 0.75/1.16 'c_List_Oappend'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 483, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 0.75/1.16 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 484, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 0.75/1.16 'c_List_Oappend'( T, Y, Z ), Z ) ) ] )
% 0.75/1.16 , clause( 485, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.75/1.16 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 486, [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.75/1.16 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ] )
% 0.75/1.16 , clause( 487, [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 0.75/1.16 ), Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X,
% 0.75/1.16 Z, T ) ), 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ] )
% 0.75/1.16 , clause( 488, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y
% 0.75/1.16 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 0.75/1.16 , clause( 489, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z
% 0.75/1.16 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ] )
% 0.75/1.16 , clause( 490, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 0.75/1.16 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 0.75/1.16 , clause( 491, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.16 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 0.75/1.16 , clause( 492, [ =( 'c_List_Orotate1'( X, Y ), 'c_List_Oappend'(
% 0.75/1.16 'c_List_Otl'( X, Y ), 'c_List_Olist_OCons'( 'c_List_Ohd'( X, Y ),
% 0.75/1.16 'c_List_Olist_ONil'( Y ), Y ), Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 493, [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.16 , clause( 494, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) )
% 0.75/1.16 , =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 495, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.16 , clause( 496, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 0.75/1.16 , clause( 497, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.75/1.16 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 498, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y )
% 0.75/1.16 ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.16 , clause( 499, [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 500, [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 501, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) )
% 0.75/1.16 , =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.16 , clause( 502, [ =( 'c_List_Otl'( 'c_List_Olist_ONil'( X ), X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.16 , clause( 503, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.75/1.16 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.16 , clause( 504, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'(
% 0.75/1.16 'c_List_Olist_ONil'( X ), X ) ) ] )
% 0.75/1.16 , clause( 505, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~(
% 0.75/1.16 'c_ListOrder_Ostep1'( Z, 'c_List_Olist_OCons'( Y, T, U ),
% 0.75/1.16 'c_List_Olist_OCons'( X, W, U ), U ) ) ] )
% 0.75/1.16 , clause( 506, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 0.75/1.16 'c_List_Olist_OCons'( Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ]
% 0.75/1.16 )
% 0.75/1.16 , clause( 507, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ),
% 0.75/1.16 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, T, U ),
% 0.75/1.16 'c_List_Olist_OCons'( Z, T, U ), U ) ] )
% 0.75/1.16 , clause( 508, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~(
% 0.75/1.16 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.75/1.16 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 0.75/1.16 , clause( 509, [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 510, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X,
% 0.75/1.16 U ), W ) ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.75/1.16 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 0.75/1.16 , clause( 511, [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.75/1.16 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.75/1.16 ) ) ] )
% 0.75/1.16 , clause( 512, [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 513, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 0.75/1.16 T, U, Z ) ) ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.75/1.16 ] )
% 0.75/1.16 , clause( 514, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), X, Y ), 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.16 'tc_nat' ), Z, Y ) ) ] )
% 0.75/1.17 , clause( 515, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 516, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 0.75/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 517, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.17 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.75/1.17 ] )
% 0.75/1.17 , clause( 518, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.17 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 519, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'(
% 0.75/1.17 X ) ), 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.17 'c_Lambda_Obeta', X ), Y ) ) ) ] )
% 0.75/1.17 , clause( 520, [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 0.75/1.17 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 521, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.75/1.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.75/1.17 , clause( 522, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.75/1.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.75/1.17 , clause( 523, [ =( 'c_List_Olast'( 'c_List_Orev'( X, Y ), Y ),
% 0.75/1.17 'c_List_Ohd'( X, Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.17 , clause( 524, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 0.75/1.17 T, U, Z ) ) ), =( X, T ) ] )
% 0.75/1.17 , clause( 525, [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ] )
% 0.75/1.17 , clause( 526, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 0.75/1.17 , clause( 527, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 0.75/1.17 , clause( 528, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.75/1.17 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 0.75/1.17 , clause( 529, [ =( 'c_List_Ohd'( 'c_List_Orev'( X, Y ), Y ),
% 0.75/1.17 'c_List_Olast'( X, Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.75/1.17 , clause( 530, [ =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y )
% 0.75/1.17 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 531, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.17 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.75/1.17 'tc_nat' ) ] )
% 0.75/1.17 , clause( 532, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.75/1.17 ), =( X, Y ) ] )
% 0.75/1.17 , clause( 533, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 534, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 535, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.75/1.17 , clause( 536, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.75/1.17 , clause( 537, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.75/1.17 , clause( 538, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.75/1.17 ), =( Z, Y ) ] )
% 0.75/1.17 , clause( 539, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.75/1.17 ) ] )
% 0.75/1.17 , clause( 540, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 0.75/1.17 , clause( 541, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), =( Z, Y ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ] )
% 0.75/1.17 , clause( 542, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 0.75/1.17 , clause( 543, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.75/1.17 ), =( Z, Y ) ] )
% 0.75/1.17 , clause( 544, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.75/1.17 , clause( 545, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.75/1.17 ) ] )
% 0.75/1.17 , clause( 546, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ),
% 0.75/1.17 =( X, Z ) ] )
% 0.75/1.17 , clause( 547, [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.17 'c_Lambda_Obeta', T ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 0.75/1.17 , clause( 548, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.75/1.17 Y, X ) ) ] )
% 0.75/1.17 , clause( 549, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.75/1.17 Y, X ) ) ] )
% 0.75/1.17 , clause( 550, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.75/1.17 Y, X ) ) ] )
% 0.75/1.17 , clause( 551, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.75/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.75/1.17 Y, X ) ) ] )
% 0.75/1.17 , clause( 552, [ =( 'c_List_Otl'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.75/1.17 'c_List_Oappend'( 'c_List_Otl'( X, Z ), Y, Z ) ), =( X,
% 0.75/1.17 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 553, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 0.75/1.17 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Obutlast'( X, Y ) ) ] )
% 0.75/1.17 , clause( 554, [ =( 'c_List_Ohd'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.75/1.17 'c_List_Ohd'( X, Z ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 555, [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.17 'tc_nat' ) ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 0.75/1.17 'tc_nat' ) ) ) ] )
% 0.75/1.17 , clause( 556, [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.17 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 557, [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.75/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.75/1.17 , clause( 558, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.75/1.17 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 0.75/1.17 , clause( 559, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.17 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 0.75/1.17 , clause( 560, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.17 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 0.75/1.17 , clause( 561, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.75/1.17 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.75/1.17 ) ] )
% 0.75/1.17 , clause( 562, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 0.75/1.17 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 0.75/1.17 , clause( 563, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.17 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.75/1.17 ) ) ] )
% 0.75/1.17 , clause( 564, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.75/1.17 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.75/1.17 'tc_nat' ) ] )
% 0.75/1.17 , clause( 565, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 0.75/1.17 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 0.75/1.17 , clause( 566, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.75/1.17 , 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 567, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T
% 0.75/1.17 , U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 0.75/1.17 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.75/1.17 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 568, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T
% 0.75/1.17 , U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 0.75/1.17 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.75/1.17 ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 569, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 0.75/1.17 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ]
% 0.75/1.17 )
% 0.75/1.17 , clause( 570, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 0.75/1.17 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ]
% 0.75/1.17 )
% 0.75/1.17 , clause( 571, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 0.75/1.17 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 0.75/1.17 ), W ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T,
% 0.75/1.17 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ] )
% 0.75/1.17 , clause( 572, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~(
% 0.75/1.17 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 0.75/1.17 'c_List_Olist_ONil'( U ), U ), U ), 'c_List_Oappend'( W,
% 0.75/1.17 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ] )
% 0.75/1.17 , clause( 573, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T
% 0.75/1.17 , U, Z ) ) ), =( 'c_List_Oappend'(
% 0.75/1.17 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 0.75/1.17 ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 574, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T
% 0.75/1.17 , U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 0.75/1.17 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.75/1.17 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 575, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.75/1.17 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.75/1.17 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ] )
% 0.75/1.17 , clause( 576, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X
% 0.75/1.17 , T, U, W ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T,
% 0.75/1.17 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.75/1.17 'c_List_Oappend'( U, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 0.75/1.17 ), W ), W ) ) ] )
% 0.75/1.17 , clause( 577, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y
% 0.75/1.17 ) ) ), =( X, 'c_List_Oappend'( 'c_List_Orev'( T, Y ),
% 0.75/1.17 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ] )
% 0.75/1.17 , clause( 578, [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y )
% 0.75/1.17 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.75/1.17 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 0.75/1.17 , clause( 579, [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 0.75/1.17 , 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z )
% 0.75/1.17 , Z ), Z ) ) ] )
% 0.75/1.17 , clause( 580, [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~(
% 0.75/1.17 'c_ListOrder_Ostep1'( Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U,
% 0.75/1.17 'c_List_Olist_ONil'( T ), T ), T ), 'c_List_Oappend'( Y,
% 0.75/1.17 'c_List_Olist_OCons'( W, 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ] )
% 0.75/1.17 , clause( 581, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.75/1.17 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.75/1.17 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 0.75/1.17 , clause( 582, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.75/1.17 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.75/1.17 'tc_Lambda_OdB' ), X ) ) ] )
% 0.75/1.17 , clause( 583, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.17 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 0.75/1.17 , clause( 584, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.75/1.17 X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z
% 0.75/1.17 ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 0.75/1.17 , clause( 585, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 0.75/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 586, [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'(
% 0.75/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 587, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 0.75/1.17 'tc_Lambda_OdB' ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.75/1.17 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.75/1.17 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.75/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 588, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.75/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 589, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.17 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ) ] )
% 0.75/1.17 , clause( 590, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 0.75/1.17 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 0.75/1.17 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 591, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.75/1.17 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.75/1.17 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.75/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.75/1.17 'tc_Lambda_OdB' ) ) ) ) ] )
% 0.75/1.17 , clause( 592, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 0.75/1.17 'tc_Lambda_OdB' ) ) ), =( T, 'c_List_Oappend'(
% 0.75/1.17 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.75/1.17 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.75/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.75/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 593, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.17 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 0.75/1.17 , clause( 594, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.75/1.17 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.75/1.17 , clause( 595, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.75/1.17 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 0.75/1.17 , clause( 596, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.75/1.17 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.75/1.17 , clause( 597, [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.75/1.17 'tc_Lambda_OdB' ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP(
% 0.75/1.17 hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.75/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 598, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 0.75/1.17 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.17 , clause( 599, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 0.75/1.17 ), Y ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 0.75/1.17 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 600, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.17 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.75/1.17 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.75/1.17 ) ] )
% 0.75/1.17 , clause( 601, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.75/1.17 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.75/1.17 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.75/1.17 ) ] )
% 0.75/1.17 , clause( 602, [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.75/1.17 , Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z,
% 0.75/1.17 T ) ), 'c_Lambda_Osubst'( Y, Z, T ) ) ) ] )
% 0.75/1.17 , clause( 603, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.75/1.17 ), =( X, Y ) ] )
% 0.75/1.17 , clause( 604, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.75/1.17 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.75/1.17 ) ] )
% 0.75/1.17 , clause( 605, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.17 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 0.75/1.17 , clause( 606, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.17 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 0.75/1.17 , clause( 607, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.17 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 0.75/1.17 , clause( 608, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.75/1.17 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 0.75/1.17 , clause( 609, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y
% 0.75/1.17 ) ] )
% 0.75/1.17 , clause( 610, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 0.75/1.17 'c_List_Olist_OCons'( Y, Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ]
% 0.75/1.17 )
% 0.75/1.17 , clause( 611, [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y,
% 0.75/1.17 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 612, [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X,
% 0.75/1.17 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 613, [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y,
% 0.75/1.17 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 614, [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y,
% 0.75/1.17 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 615, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 0.75/1.17 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.75/1.17 ) ) ) ] )
% 0.75/1.17 , clause( 616, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'(
% 0.75/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.75/1.17 'c_Lambda_OdB_OApp', X ), Y ), Z ) ] )
% 0.75/1.17 , clause( 617, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z
% 0.75/1.17 , X ) ) ) ] )
% 0.75/1.17 , clause( 618, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.75/1.17 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 0.75/1.17 , clause( 619, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.75/1.17 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 0.75/1.17 , clause( 620, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 0.75/1.17 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 0.75/1.17 , clause( 621, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 0.75/1.17 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 0.75/1.17 , clause( 622, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 0.75/1.17 ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 623, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 0.75/1.17 ) ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.75/1.17 , clause( 624, [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.75/1.17 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.75/1.17 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.17 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.75/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.75/1.17 , 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 625, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X
% 0.75/1.17 ) ) ), =( Z, 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.17 , clause( 626, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X
% 0.75/1.17 ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 0.75/1.17 , clause( 627, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z )
% 0.75/1.17 , Y ) ] )
% 0.75/1.17 , clause( 628, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X )
% 0.75/1.17 ) ) ] )
% 0.75/1.17 , clause( 629, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) )
% 0.75/1.17 ] )
% 0.75/1.17 , clause( 630, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y )
% 0.75/1.17 ] )
% 0.75/1.17 , clause( 631, [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) )
% 0.75/1.17 ] )
% 0.75/1.17 , clause( 632, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) )
% 0.75/1.17 ] )
% 0.75/1.17 , clause( 633, [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X )
% 0.75/1.17 ] )
% 0.75/1.17 , clause( 634, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T
% 0.75/1.17 , Z ) ) ), =( Y, T ) ] )
% 0.75/1.17 , clause( 635, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y
% 0.75/1.17 , Z ) ) ), =( X, T ) ] )
% 0.75/1.17 , clause( 636, [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'(
% 0.75/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 637, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U )
% 0.75/1.17 , W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 0.75/1.17 , clause( 638, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z
% 0.75/1.17 ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.75/1.17 , clause( 639, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z
% 0.75/1.17 ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.75/1.17 , clause( 640, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T
% 0.75/1.17 ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 0.75/1.17 , clause( 641, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T
% 0.75/1.17 ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 0.75/1.17 , clause( 642, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'(
% 0.75/1.17 Z ) ) ) ] )
% 0.75/1.17 , clause( 643, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'(
% 0.75/1.17 Z ) ) ) ] )
% 0.75/1.17 , clause( 644, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.75/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.17 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 0.75/1.17 , clause( 645, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 0.75/1.17 , clause( 646, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 0.75/1.17 , clause( 647, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 0.75/1.17 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 0.75/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.75/1.17 , clause( 648, [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.75/1.17 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 0.75/1.17 , clause( 649, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'(
% 0.75/1.17 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X ), X ) ) ] )
% 0.75/1.17 , clause( 650, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W,
% 0.75/1.17 U ), 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ]
% 0.75/1.17 )
% 0.75/1.17 , clause( 651, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.17 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 0.79/1.18 , clause( 652, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( 'v_r', 'v_s',
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'v_ss', 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ) ) ) ] )
% 0.79/1.18 , clause( 653, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_Osubst'( 'v_r', 'v_s', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.79/1.18 , 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'(
% 0.79/1.18 'v_i' ) ) ) ) ] )
% 0.79/1.18 , clause( 654, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_s' ) ) ] )
% 0.79/1.18 , clause( 655, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'v_s' ), 'c_Lambda_OdB_OVar'( 'v_i' ) ) ) ) ] )
% 0.79/1.18 , clause( 656, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( 'v_r', 'v_s',
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Oappend'( 'v_ss',
% 0.79/1.18 'c_List_Olist_OCons'( 'c_Lambda_OdB_OVar'( 'v_i' ), 'c_List_Olist_ONil'(
% 0.79/1.18 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.79/1.18 , 'tc_Lambda_OdB' ) ) ) ) ] )
% 0.79/1.18 , clause( 657, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.79/1.18 'class_Orderings_Opreorder'( Y ) ) ] )
% 0.79/1.18 , clause( 658, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.79/1.18 'class_Orderings_Oorder'( Y ) ) ] )
% 0.79/1.18 , clause( 659, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 660, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ] )
% 0.79/1.18 , clause( 661, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 0.79/1.18 , clause( 662, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 0.79/1.18 , clause( 663, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.79/1.18 , clause( 664, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.79/1.18 , clause( 665, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.79/1.18 , clause( 666, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 0.79/1.18 , clause( 667, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 0.79/1.18 , clause( 668, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint'
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 669, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 670, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 671, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 672, [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ] )
% 0.79/1.18 , clause( 673, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 0.79/1.18 , clause( 674, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 0.79/1.18 , clause( 675, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 0.79/1.18 , clause( 676, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 0.79/1.18 , clause( 677, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 0.79/1.18 , clause( 678, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 0.79/1.18 , clause( 679, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y )
% 0.79/1.18 ) ) ] )
% 0.79/1.18 ] ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 eqswap(
% 0.79/1.18 clause( 1069, [ =( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Orotate1'(
% 0.79/1.18 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 579, [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 0.79/1.18 , 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z )
% 0.79/1.18 , Z ), Z ) ) ] )
% 0.79/1.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 subsumption(
% 0.79/1.18 clause( 237, [ =( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Orotate1'(
% 0.79/1.18 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 1069, [ =( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Orotate1'(
% 0.79/1.18 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 0.79/1.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 paramod(
% 0.79/1.18 clause( 2176, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Orotate1'(
% 0.79/1.18 'c_List_Olist_OCons'( Z, Y, 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 237, [ =( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Orotate1'(
% 0.79/1.19 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 0.79/1.19 , 0, clause( 604, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.79/1.19 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.79/1.19 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.79/1.19 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.79/1.19 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.79/1.19 ) ] )
% 0.79/1.19 , 0, 14, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, 'tc_Lambda_OdB'
% 0.79/1.19 )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 eqswap(
% 0.79/1.19 clause( 2177, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.79/1.19 'c_List_Orotate1'( 'c_List_Olist_OCons'( Z, Y, 'tc_Lambda_OdB' ),
% 0.79/1.19 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.79/1.19 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ] )
% 0.79/1.19 , clause( 2176, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.79/1.19 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.79/1.19 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Orotate1'(
% 0.79/1.19 'c_List_Olist_OCons'( Z, Y, 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.79/1.19 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 subsumption(
% 0.79/1.19 clause( 257, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.79/1.19 'c_List_Orotate1'( 'c_List_Olist_OCons'( Z, Y, 'tc_Lambda_OdB' ),
% 0.79/1.19 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.79/1.19 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ] )
% 0.79/1.19 , clause( 2177, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.79/1.19 'c_List_Orotate1'( 'c_List_Olist_OCons'( Z, Y, 'tc_Lambda_OdB' ),
% 0.79/1.19 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.79/1.19 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ] )
% 0.79/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.79/1.19 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 subsumption(
% 0.79/1.19 clause( 287, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.19 'c_Lambda_Osubst'( 'v_r', 'v_s', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.79/1.19 , 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'(
% 0.79/1.19 'v_i' ) ) ) ) ] )
% 0.79/1.19 , clause( 653, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.19 'c_Lambda_Osubst'( 'v_r', 'v_s', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.79/1.19 , 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'(
% 0.79/1.19 'v_i' ) ) ) ) ] )
% 0.79/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 paramod(
% 0.79/1.19 clause( 4040, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( 'v_r', 'v_s',
% 0.79/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Orotate1'(
% 0.79/1.19 'c_List_Olist_OCons'( 'c_Lambda_OdB_OVar'( 'v_i' ), 'v_ss',
% 0.79/1.19 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.79/1.19 ) ) ) ] )
% 0.79/1.19 , clause( 237, [ =( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X,
% 0.79/1.19 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Orotate1'(
% 0.79/1.19 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 0.79/1.19 , 0, clause( 656, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( 'v_r', 'v_s',
% 0.79/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Oappend'( 'v_ss',
% 0.79/1.19 'c_List_Olist_OCons'( 'c_Lambda_OdB_OVar'( 'v_i' ), 'c_List_Olist_ONil'(
% 0.79/1.19 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.79/1.19 , 'tc_Lambda_OdB' ) ) ) ) ] )
% 0.79/1.19 , 0, 11, substitution( 0, [ :=( X, 'c_Lambda_OdB_OVar'( 'v_i' ) ), :=( Y,
% 0.79/1.19 'v_ss' ), :=( Z, 'tc_Lambda_OdB' )] ), substitution( 1, [] )).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 paramod(
% 0.79/1.19 clause( 4041, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.19 'c_Lambda_Osubst'( 'v_r', 'v_s', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.79/1.19 , 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'(
% 0.79/1.19 'v_i' ) ) ) ) ) ] )
% 0.79/1.19 , clause( 257, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X,
% 0.79/1.19 'c_List_Orotate1'( 'c_List_Olist_OCons'( Z, Y, 'tc_Lambda_OdB' ),
% 0.79/1.19 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.79/1.19 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ] )
% 0.79/1.19 , 0, clause( 4040, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( 'v_r', 'v_s',
% 0.79/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Orotate1'(
% 0.79/1.19 'c_List_Olist_OCons'( 'c_Lambda_OdB_OVar'( 'v_i' ), 'v_ss',
% 0.79/1.19 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.79/1.19 ) ) ) ] )
% 0.79/1.19 , 0, 4, substitution( 0, [ :=( X, 'c_Lambda_Osubst'( 'v_r', 'v_s',
% 0.79/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), :=( Y, 'v_ss' ), :=( Z,
% 0.79/1.19 'c_Lambda_OdB_OVar'( 'v_i' ) )] ), substitution( 1, [] )).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 resolution(
% 0.79/1.19 clause( 4042, [] )
% 0.79/1.19 , clause( 4041, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.19 'c_Lambda_Osubst'( 'v_r', 'v_s', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.79/1.19 , 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'(
% 0.79/1.19 'v_i' ) ) ) ) ) ] )
% 0.79/1.19 , 0, clause( 287, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.79/1.19 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.19 'c_Lambda_Osubst'( 'v_r', 'v_s', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.79/1.19 , 'v_ss', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_Lambda_OdB_OVar'(
% 0.79/1.19 'v_i' ) ) ) ) ] )
% 0.79/1.19 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 subsumption(
% 0.79/1.19 clause( 290, [] )
% 0.79/1.19 , clause( 4042, [] )
% 0.79/1.19 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 end.
% 0.79/1.19
% 0.79/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.19
% 0.79/1.19 Memory use:
% 0.79/1.19
% 0.79/1.19 space for terms: 17417
% 0.79/1.19 space for clauses: 31734
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 clauses generated: 365
% 0.79/1.19 clauses kept: 291
% 0.79/1.19 clauses selected: 0
% 0.79/1.19 clauses deleted: 0
% 0.79/1.19 clauses inuse deleted: 0
% 0.79/1.19
% 0.79/1.19 subsentry: 25410
% 0.79/1.19 literals s-matched: 8082
% 0.79/1.19 literals matched: 7986
% 0.79/1.19 full subsumption: 1258
% 0.79/1.19
% 0.79/1.19 checksum: 1369492675
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 Bliksem ended
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