TSTP Solution File: LCL789-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL789-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:58:00 EDT 2022
% Result : Unsatisfiable 0.79s 1.17s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL789-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 20:22:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.79/1.17 *** allocated 10000 integers for termspace/termends
% 0.79/1.17 *** allocated 10000 integers for clauses
% 0.79/1.17 *** allocated 10000 integers for justifications
% 0.79/1.17 Bliksem 1.12
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 Automatic Strategy Selection
% 0.79/1.17
% 0.79/1.17 Clauses:
% 0.79/1.17 [
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.79/1.17 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.79/1.17 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.79/1.17 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X
% 0.79/1.17 , Y, T ) ), ~( 'c_Type_Otypings'( X, 'c_List_Oappend'( T,
% 0.79/1.17 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.79/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.79/1.17 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.79/1.17 X ) ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( T,
% 0.79/1.17 'c_List_Oappend'(
% 0.79/1.17 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.79/1.17 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.79/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.79/1.17 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.79/1.17 'c_List_Olist_ONil'( Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.79/1.17 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.79/1.17 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.79/1.17 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.79/1.17 ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.79/1.17 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.79/1.17 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.79/1.17 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.79/1.17 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.17 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.17 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y, T, X ) ), 'c_Power_Opower_Opower'(
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X
% 0.79/1.17 ) ) ) ],
% 0.79/1.17 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.79/1.17 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.79/1.17 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.79/1.17 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.79/1.17 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.79/1.17 'c_List_Olist_ONil'( X ) ) ],
% 0.79/1.17 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.79/1.17 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.79/1.17 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.79/1.17 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.79/1.17 ), =( X, T ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.79/1.17 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.79/1.17 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.79/1.17 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.79/1.17 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.79/1.17 , T ) ) ) ],
% 0.79/1.17 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.79/1.17 'c_InductTermi_OIT', X ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.79/1.17 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.79/1.17 'c_List_Olist_ONil'( Y ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.79/1.17 'c_List_Olist_ONil'( Y ) ) ],
% 0.79/1.17 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.79/1.17 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.79/1.17 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.79/1.17 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.79/1.17 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.79/1.17 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.79/1.17 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.79/1.17 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.79/1.17 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.17 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.79/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.79/1.17 , 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.17 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.17 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.17 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.79/1.17 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.79/1.17 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.79/1.17 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.79/1.17 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.17 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), 'c_Power_Opower_Opower'(
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X
% 0.79/1.17 ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.17 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.79/1.17 'c_List_Olist_ONil'( X ) ) ],
% 0.79/1.17 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.79/1.17 ), X ) ],
% 0.79/1.17 [ =( 'c_Power_Opower_Opower'( X, Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.17 'tc_nat' ), T ), X ) ],
% 0.79/1.17 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.79/1.17 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.79/1.17 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.79/1.17 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.79/1.17 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.79/1.17 'c_List_Olist_ONil'( X ) ) ],
% 0.79/1.17 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.79/1.17 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.79/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.79/1.17 ) ],
% 0.79/1.17 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.79/1.17 X ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.79/1.17 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.79/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.79/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.79/1.17 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.79/1.17 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.79/1.17 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.79/1.17 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.79/1.17 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'(
% 0.79/1.17 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y ), Y ), X ), =( X,
% 0.79/1.17 'c_List_Olist_ONil'( Y ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.79/1.17 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.17 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.79/1.17 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.79/1.17 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.79/1.17 ) ],
% 0.79/1.17 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.79/1.17 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.79/1.17 'c_List_Olist_ONil'( Y ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.79/1.17 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.79/1.17 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.79/1.17 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.79/1.17 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.79/1.17 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.79/1.17 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.79/1.17 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.79/1.17 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.79/1.17 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.79/1.17 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.79/1.17 ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ),
% 0.79/1.17 Y ), Y ), X ) ],
% 0.79/1.17 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.79/1.17 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.79/1.17 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.79/1.17 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.79/1.17 T, U, X, Y, Z ), Y, Z ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.79/1.17 , =( 'c_List_Olist_OCons'( X,
% 0.79/1.17 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.79/1.17 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.79/1.17 , =( X, 'c_List_Olist_OCons'( T,
% 0.79/1.17 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.79/1.17 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.79/1.17 , =( Y, 'c_List_Oappend'(
% 0.79/1.17 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.79/1.17 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.79/1.17 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.79/1.17 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.79/1.17 ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Olast'( Y
% 0.79/1.17 , Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.79/1.17 , Y ), 'c_List_Olast'( X, Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.79/1.17 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.79/1.17 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.79/1.17 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.79/1.17 , =( Y, 'c_List_Oappend'(
% 0.79/1.17 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.79/1.17 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.79/1.17 , =( X, 'c_List_Olist_OCons'( T,
% 0.79/1.17 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.79/1.17 ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.17 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ],
% 0.79/1.17 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.17 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ],
% 0.79/1.17 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.79/1.17 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.79/1.17 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.79/1.17 ), W ), W ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.79/1.17 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.79/1.17 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.79/1.17 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.79/1.17 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.79/1.17 T, U, X, Y, Z ), Y, Z ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.79/1.17 , =( 'c_List_Olist_OCons'( X,
% 0.79/1.17 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.79/1.17 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.79/1.17 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.79/1.17 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.79/1.17 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.79/1.17 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.79/1.17 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.79/1.17 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.79/1.17 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.79/1.17 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.79/1.17 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.79/1.17 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z ), Z
% 0.79/1.17 ), Z ) ) ],
% 0.79/1.17 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.79/1.17 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.79/1.17 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.79/1.17 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.79/1.17 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.79/1.17 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.79/1.17 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.79/1.17 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X,
% 0.79/1.17 'c_Lambda_Osubst'( U, Y, T ), W ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 0.79/1.17 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.79/1.17 ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.79/1.17 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.79/1.17 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______', 'v_ia______',
% 0.79/1.17 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ],
% 0.79/1.17 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.79/1.17 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.79/1.17 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.79/1.17 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.79/1.17 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.79/1.17 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.79/1.17 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.79/1.17 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.79/1.17 ), Z ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.79/1.17 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.79/1.17 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.79/1.17 ), Z ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.79/1.17 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.79/1.17 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.79/1.17 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.79/1.17 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.79/1.17 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~(
% 0.79/1.17 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 0.79/1.17 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.79/1.17 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.79/1.17 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.79/1.17 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.79/1.17 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.79/1.17 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.79/1.17 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.79/1.17 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.79/1.17 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.79/1.17 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.79/1.17 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.79/1.17 X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.17 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.79/1.17 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.79/1.17 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.79/1.17 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.79/1.17 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.79/1.17 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.79/1.17 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( T
% 0.79/1.17 , Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.17 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.79/1.17 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.17 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.79/1.17 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.79/1.17 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.79/1.17 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.79/1.17 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.79/1.17 ), Z ), U ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.79/1.17 ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.79/1.17 ) ],
% 0.79/1.17 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.79/1.17 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.79/1.17 , X ), T ) ) ) ],
% 0.79/1.17 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.79/1.17 T, Y, Z ), Z ) ) ],
% 0.79/1.17 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.79/1.17 Y, T, Z ), Z ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.79/1.17 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.79/1.17 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.17 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ) ), T ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.17 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.17 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ) ), T ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.17 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.17 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.79/1.17 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.79/1.17 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.17 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.79/1.17 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.79/1.17 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.79/1.17 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.79/1.17 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.79/1.17 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.79/1.17 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.79/1.17 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.17 Y ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.17 Y ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.17 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.17 Y ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.17 Y ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.17 Y ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.17 Y ) ],
% 0.79/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.17 Y ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.79/1.17 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.79/1.17 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.79/1.17 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.79/1.17 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.79/1.17 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.79/1.17 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.79/1.17 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.79/1.17 ) ) ) ],
% 0.79/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.79/1.17 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.79/1.17 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'( X, Y,
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.79/1.17 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.79/1.17 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.79/1.17 ) ],
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.79/1.17 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.79/1.17 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.79/1.17 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.79/1.17 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.79/1.17 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.79/1.17 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.79/1.17 , Z ) ) ],
% 0.79/1.17 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.79/1.17 hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) ) ), ~(
% 0.79/1.17 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', T ) )
% 0.79/1.17 ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype' ), Z,
% 0.79/1.17 V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.79/1.17 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.79/1.17 hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) ) ), ~(
% 0.79/1.17 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', T ) )
% 0.79/1.17 ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype' ), Z,
% 0.79/1.17 V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.79/1.17 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.79/1.17 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.79/1.17 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.79/1.17 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.79/1.17 , Y ) ) ],
% 0.79/1.17 [ 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.79/1.17 'tc_Type_Otype' ), 'v_as____', 'v_Ts____' ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.79/1.17 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.79/1.17 Z ) ) ) ],
% 0.79/1.17 [ =( 'c_Type_Otype_Otype__case'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.79/1.17 hAPP( X, Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.79/1.17 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.79/1.17 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.79/1.17 , Y ) ) ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.79/1.17 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.79/1.17 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.79/1.17 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.79/1.17 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.79/1.17 ) ) ) ],
% 0.79/1.17 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.79/1.17 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.79/1.17 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.79/1.17 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.79/1.17 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.79/1.17 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.79/1.17 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.79/1.17 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.79/1.17 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.79/1.17 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.79/1.17 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.79/1.17 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.79/1.17 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.79/1.17 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.79/1.17 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.79/1.17 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.79/1.17 , Y ) ],
% 0.79/1.17 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.79/1.17 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.79/1.17 'c_Type_Osko__Type__Xtype__induct__1__1'( X ) ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.79/1.17 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.79/1.17 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.79/1.17 , Y ), Z ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.17 'tc_nat' ), 'c_Type_Osko__Type__Xtyping__elims__3__1'( Y, X, Z ),
% 0.79/1.17 'tc_Type_Otype' ), Z, 'c_Type_Osko__Type__Xtyping__elims__3__2'( Y, X, Z
% 0.79/1.17 ) ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Z ), Y ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.79/1.17 =( X, T ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.79/1.17 =( Y, T ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.79/1.17 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.79/1.17 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.79/1.17 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.79/1.17 [ ~( =( 'c_Type_Otype_OAtom'( X ), 'c_Type_Otype_OAtom'( Y ) ) ), =( X,
% 0.79/1.17 Y ) ],
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.79/1.17 [ =( 'v_n____', 'v_i____' ) ],
% 0.79/1.17 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.79/1.17 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.79/1.17 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.79/1.17 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.79/1.17 , 'c_List_Olist_ONil'( X ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.79/1.17 , 'c_List_Olist_ONil'( X ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.79/1.17 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.79/1.17 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.79/1.17 Z ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.17 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.79/1.17 , Y ) ],
% 0.79/1.17 [ =( 'c_Type_Otype_Otype__rec'( X, Y, 'c_Type_Otype_OAtom'( Z ), T ),
% 0.79/1.17 hAPP( X, Z ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.79/1.17 ) ],
% 0.79/1.17 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), X ) ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.79/1.17 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.79/1.17 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.79/1.17 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.79/1.17 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.79/1.17 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.79/1.17 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.79/1.17 ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.79/1.17 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.79/1.17 ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.79/1.17 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.79/1.17 ) ), =( X, T ) ],
% 0.79/1.17 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.79/1.17 ) ), =( Y, U ) ],
% 0.79/1.17 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.79/1.17 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.79/1.17 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.79/1.17 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.79/1.17 Z ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.79/1.17 ) ],
% 0.79/1.17 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.79/1.17 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), Z ) ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.79/1.17 Z ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.17 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.79/1.17 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.79/1.17 ) ],
% 0.79/1.17 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.17 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.79/1.17 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.79/1.17 ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.79/1.17 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.79/1.17 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.79/1.17 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.79/1.17 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.79/1.17 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), 'c_Type_Otype_OAtom'(
% 0.79/1.17 Z ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.79/1.17 [ =( X, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.79/1.17 'c_Type_Osko__Type__Xtyping__elims__3__1'( X, Y, Z ) ),
% 0.79/1.17 'c_Type_Osko__Type__Xtyping__elims__3__2'( X, Y, Z ) ) ), ~(
% 0.79/1.17 'c_Type_Otyping'( Y, 'c_Lambda_OdB_OAbs'( Z ), X ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.79/1.17 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.79/1.17 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.79/1.17 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.79/1.17 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.79/1.17 , Z ) ) ],
% 0.79/1.17 [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL( hAPP( X
% 0.79/1.17 , Y ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.79/1.17 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.79/1.17 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.79/1.17 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.79/1.17 ],
% 0.79/1.17 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.79/1.17 , Z ) ) ],
% 0.79/1.17 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.79/1.17 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.79/1.17 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'( 'v_n____' ), hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.79/1.17 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.79/1.17 'tc_Type_Otype' ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.79/1.17 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.79/1.17 'v_n____' ) ), 'v_a____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.79/1.17 'v_Ts____', 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.79/1.17 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z,
% 0.79/1.17 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), Z ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.79/1.17 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.79/1.17 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.79/1.17 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.79/1.17 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.79/1.17 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.79/1.17 [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.79/1.17 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.79/1.17 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.79/1.17 [ =( 'c_Type_Otype_Otype__rec'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun', Z
% 0.79/1.17 ), T ), U ), hAPP( hAPP( hAPP( hAPP( Y, Z ), T ),
% 0.79/1.17 'c_Type_Otype_Otype__rec'( X, Y, Z, U ) ), 'c_Type_Otype_Otype__rec'( X,
% 0.79/1.17 Y, T, U ) ) ) ],
% 0.79/1.17 [ =( 'c_Type_Otype_Otype__case'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.79/1.17 Z ), T ), U ), hAPP( hAPP( Y, Z ), T ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.79/1.17 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.79/1.17 Z, T ), U ) ) ) ],
% 0.79/1.17 [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.79/1.17 Z, T ), U ) ) ) ],
% 0.79/1.17 [ ~( =( 'c_Type_Otype_OAtom'( X ), hAPP( hAPP( 'c_Type_Otype_OFun', Y )
% 0.79/1.17 , Z ) ) ) ],
% 0.79/1.17 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.79/1.17 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z,
% 0.79/1.17 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ), Z ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.79/1.17 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.79/1.17 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.79/1.17 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.79/1.17 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.79/1.17 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.79/1.17 [ ~( 'c_Type_Otyping'( 'v_e____', 'v_u____', hAPP( hAPP(
% 0.79/1.17 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.79/1.17 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.79/1.17 'tc_Type_Otype' ) ) ) ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.79/1.17 ,
% 0.79/1.17 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.79/1.17 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.79/1.17 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.79/1.17 ] .
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 percentage equality = 0.520370, percentage horn = 0.905724
% 0.79/1.17 This is a problem with some equality
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 Options Used:
% 0.79/1.17
% 0.79/1.17 useres = 1
% 0.79/1.17 useparamod = 1
% 0.79/1.17 useeqrefl = 1
% 0.79/1.17 useeqfact = 1
% 0.79/1.17 usefactor = 1
% 0.79/1.17 usesimpsplitting = 0
% 0.79/1.17 usesimpdemod = 5
% 0.79/1.17 usesimpres = 3
% 0.79/1.17
% 0.79/1.17 resimpinuse = 1000
% 0.79/1.17 resimpclauses = 20000
% 0.79/1.17 substype = eqrewr
% 0.79/1.17 backwardsubs = 1
% 0.79/1.17 selectoldest = 5
% 0.79/1.17
% 0.79/1.17 litorderings [0] = split
% 0.79/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.17
% 0.79/1.17 termordering = kbo
% 0.79/1.17
% 0.79/1.17 litapriori = 0
% 0.79/1.17 termapriori = 1
% 0.79/1.17 litaposteriori = 0
% 0.79/1.17 termaposteriori = 0
% 0.79/1.17 demodaposteriori = 0
% 0.79/1.17 ordereqreflfact = 0
% 0.79/1.17
% 0.79/1.17 litselect = negord
% 0.79/1.17
% 0.79/1.17 maxweight = 15
% 0.79/1.17 maxdepth = 30000
% 0.79/1.17 maxlength = 115
% 0.79/1.17 maxnrvars = 195
% 0.79/1.17 excuselevel = 1
% 0.79/1.17 increasemaxweight = 1
% 0.79/1.17
% 0.79/1.17 maxselected = 10000000
% 0.79/1.17 maxnrclauses = 10000000
% 0.79/1.17
% 0.79/1.17 showgenerated = 0
% 0.79/1.17 showkept = 0
% 0.79/1.17 showselected = 0
% 0.79/1.17 showdeleted = 0
% 0.79/1.17 showresimp = 1
% 0.79/1.17 showstatus = 2000
% 0.79/1.17
% 0.79/1.17 prologoutput = 1
% 0.79/1.17 nrgoals = 5000000
% 0.79/1.17 totalproof = 1
% 0.79/1.17
% 0.79/1.17 Symbols occurring in the translation:
% 0.79/1.17
% 0.79/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.17 . [1, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.79/1.17 ! [4, 1] (w:0, o:102, a:1, s:1, b:0),
% 0.79/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.17 'c_InductTermi_OIT' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.79/1.17 'v_ua______' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.79/1.17 hAPP [41, 2] (w:1, o:153, a:1, s:1, b:0),
% 0.79/1.17 hBOOL [42, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.79/1.17 'class_Int_Oring__char__0' [44, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.79/1.17 'class_Int_Onumber__ring' [45, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.79/1.17 'c_Int_Onumber__class_Onumber__of' [47, 2] (w:1, o:154, a:1, s:1, b:0
% 0.79/1.17 ),
% 0.79/1.17 'c_Type_Osko__Type__Xtypes__snocE__1__2' [53, 4] (w:1, o:174, a:1, s:
% 0.79/1.17 1, b:0),
% 0.79/1.17 'c_Type_Otyping' [54, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.79/1.17 'tc_Lambda_OdB' [55, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Olist_ONil' [56, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Olist_OCons' [57, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Oappend' [58, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.79/1.17 'c_Type_Otypings' [59, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Orev' [62, 2] (w:1, o:155, a:1, s:1, b:0),
% 0.79/1.17 'c_Lambda_OdB_OApp' [63, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Ofoldl' [66, 5] (w:1, o:185, a:1, s:1, b:0),
% 0.79/1.17 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [67
% 0.79/1.17 , 4] (w:1, o:175, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Oreplicate' [69, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.79/1.17 'tc_nat' [71, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.79/1.17 'c_HOL_Ozero__class_Ozero' [72, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Olast' [73, 2] (w:1, o:156, a:1, s:1, b:0),
% 0.79/1.17 'c_ListOrder_Ostep1' [74, 4] (w:1, o:176, a:1, s:1, b:0),
% 0.79/1.17 'c_Predicate_Oconversep' [75, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.79/1.17 'c_Transitive__Closure_Ortranclp' [76, 2] (w:1, o:157, a:1, s:1, b:0)
% 0.79/1.17 ,
% 0.79/1.17 'class_OrderedGroup_Ocomm__monoid__add' [82, 1] (w:1, o:112, a:1, s:1
% 0.79/1.17 , b:0),
% 0.79/1.17 'c_HOL_Oplus__class_Oplus' [83, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.79/1.17 'c_Power_Opower_Opower' [84, 5] (w:1, o:186, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Orotate1' [87, 2] (w:1, o:158, a:1, s:1, b:0),
% 0.79/1.17 'v_ea______' [89, 0] (w:1, o:58, a:1, s:1, b:0),
% 0.79/1.17 'v_T____' [90, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.79/1.17 'c_Wellfounded_Oaccp' [91, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.79/1.17 'c_Lambda_Obeta' [92, 0] (w:1, o:60, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Otake' [93, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.79/1.17 'c_fequal' [94, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.79/1.17 'class_OrderedGroup_Omonoid__add' [95, 1] (w:1, o:116, a:1, s:1, b:0)
% 0.79/1.17 ,
% 0.79/1.17 'c_List_Olistsum' [96, 2] (w:1, o:159, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Obutlast' [100, 2] (w:1, o:160, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1' [104, 5] (w:1, o:
% 0.79/1.17 187, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Osko__List__XCons__eq__append__conv__1__1' [105, 5] (w:1, o:
% 0.79/1.17 188, a:1, s:1, b:0),
% 0.79/1.17 'tc_Type_Otype' [111, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.79/1.17 'c_Type_Oshift' [112, 4] (w:1, o:177, a:1, s:1, b:0),
% 0.79/1.17 'c_Lambda_Osubst' [114, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.79/1.17 'class_OrderedGroup_Oab__semigroup__add' [115, 1] (w:1, o:117, a:1
% 0.79/1.17 , s:1, b:0),
% 0.79/1.17 'c_List_Ofoldr' [116, 5] (w:1, o:189, a:1, s:1, b:0),
% 0.79/1.17 'c_Lambda_OdB_OVar' [117, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.79/1.17 'v_ia______' [120, 0] (w:1, o:77, a:1, s:1, b:0),
% 0.79/1.17 'v_n____' [121, 0] (w:1, o:78, a:1, s:1, b:0),
% 0.79/1.17 'v_rs____' [122, 0] (w:1, o:79, a:1, s:1, b:0),
% 0.79/1.17 'v_T_Ha______' [123, 0] (w:1, o:80, a:1, s:1, b:0),
% 0.79/1.17 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [124, 3] (w:
% 0.79/1.17 1, o:172, a:1, s:1, b:0),
% 0.79/1.17 'c_Lambda_OdB_OAbs' [125, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.79/1.17 'c_List_Olistsp' [129, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.79/1.17 'class_OrderedGroup_Olordered__ab__group__add' [130, 1] (w:1, o:115
% 0.79/1.17 , a:1, s:1, b:0),
% 0.79/1.17 'class_Ring__and__Field_Oidom' [131, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.79/1.17
% 0.79/1.17 'class_OrderedGroup_Osemigroup__add' [132, 1] (w:1, o:121, a:1, s:1
% 0.79/1.17 , b:0),
% 0.79/1.17 'class_Ring__and__Field_Ocomm__semiring__1' [133, 1] (w:1, o:122, a:1
% 0.79/1.17 , s:1, b:0),
% 0.79/1.17 'class_OrderedGroup_Oab__group__add' [135, 1] (w:1, o:123, a:1, s:1
% 0.79/1.17 , b:0),
% 0.79/1.17 'class_OrderedGroup_Ocancel__ab__semigroup__add' [137, 1] (w:1, o:124
% 0.79/1.17 , a:1, s:1, b:0),
% 0.79/1.17 'class_OrderedGroup_Ocancel__semigroup__add' [138, 1] (w:1, o:125, a:
% 0.79/1.17 1, s:1, b:0),
% 0.79/1.17 'v_a____' [139, 0] (w:1, o:84, a:1, s:1, b:0),
% 0.79/1.17 'v_as____' [140, 0] (w:1, o:85, a:1, s:1, b:0),
% 0.79/1.17 'c_Type_Osko__Type__Xvar__app__types__1__1' [141, 4] (w:1, o:178, a:1
% 0.79/1.17 , s:1, b:0),
% 0.79/1.17 'c_Type_Otype_OFun' [142, 0] (w:1, o:86, a:1, s:1, b:0),
% 0.79/1.17 'v_e____' [146, 0] (w:1, o:87, a:1, s:1, b:0),
% 0.79/1.17 'v_i____' [147, 0] (w:1, o:88, a:1, s:1, b:0),
% 0.79/1.17 'v_Ts____' [148, 0] (w:1, o:89, a:1, s:1, b:0),
% 0.79/1.17 'v_T_H____' [149, 0] (w:1, o:90, a:1, s:1, b:0),
% 0.79/1.17 'c_Type_Otype_OAtom' [155, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.79/1.17 'c_Type_Otype_Otype__case' [156, 4] (w:1, o:183, a:1, s:1, b:0),
% 0.79/1.17 't_a' [159, 0] (w:1, o:96, a:1, s:1, b:0),
% 0.79/1.17 'c_Type_Osko__Type__Xtype__induct__1__1' [164, 1] (w:1, o:126, a:1
% 0.79/1.17 , s:1, b:0),
% 0.79/1.17 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [165, 4] (w:1, o:180, a:
% 0.79/1.17 1, s:1, b:0),
% 0.79/1.17 'c_Type_Osko__Type__Xtyping__elims__2__1' [166, 4] (w:1, o:181, a:1
% 0.79/1.17 , s:1, b:0),
% 0.79/1.17 'c_Type_Osko__Type__Xtyping__elims__3__1' [167, 3] (w:1, o:161, a:1
% 0.79/1.17 , s:1, b:0),
% 0.79/1.17 'c_Type_Osko__Type__Xtyping__elims__3__2' [168, 3] (w:1, o:162, a:1
% 0.79/1.17 , s:1, b:0),
% 0.79/1.17 'c_Type_Otype_Otype__rec' [172, 4] (w:1, o:184, a:1, s:1, b:0),
% 0.79/1.17 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [175, 4] (w:1, o:179, a:
% 0.79/1.17 1, s:1, b:0),
% 0.79/1.17 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [177, 4] (w:1, o:182, a:
% 0.79/1.17 1, s:1, b:0),
% 0.79/1.17 'v_u____' [180, 0] (w:1, o:97, a:1, s:1, b:0),
% 0.79/1.17 'v_T_H_H____' [185, 0] (w:1, o:98, a:1, s:1, b:0),
% 0.79/1.17 'tc_Int_Oint' [187, 0] (w:1, o:99, a:1, s:1, b:0).
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 Starting Search:
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 Bliksems!, er is een bewijs:
% 0.79/1.17 % SZS status Unsatisfiable
% 0.79/1.17 % SZS output start Refutation
% 0.79/1.17
% 0.79/1.17 clause( 220, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 0.79/1.17 .
% 0.79/1.17 clause( 239, [ =( hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.79/1.17 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.79/1.17 'tc_Type_Otype', 'tc_Type_Otype' ) ), 'v_T____' ) ] )
% 0.79/1.17 .
% 0.79/1.17 clause( 246, [] )
% 0.79/1.17 .
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 % SZS output end Refutation
% 0.79/1.17 found a proof!
% 0.79/1.17
% 0.79/1.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.17
% 0.79/1.17 initialclauses(
% 0.79/1.17 [ clause( 248, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ] )
% 0.79/1.17 , clause( 249, [ ~( 'class_Int_Oring__char__0'( X ) ), ~(
% 0.79/1.17 'class_Int_Onumber__ring'( X ) ), ~( =(
% 0.79/1.17 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.79/1.17 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 0.79/1.17 , clause( 250, [ 'c_Type_Otyping'( X, Y,
% 0.79/1.17 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X, Y, T ) ), ~(
% 0.79/1.17 'c_Type_Otypings'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.79/1.17 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.79/1.17 , clause( 251, [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.79/1.17 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ]
% 0.79/1.17 )
% 0.79/1.17 , clause( 252, [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ),
% 0.79/1.17 'c_List_Olist_ONil'( X ) ) ] )
% 0.79/1.17 , clause( 253, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.17 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 0.79/1.17 'tc_Lambda_OdB' ) ) ), =( T, 'c_List_Oappend'(
% 0.79/1.17 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.79/1.17 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.79/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.79/1.17 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.17 , clause( 254, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 0.79/1.17 T, U, Z ) ) ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.79/1.17 ] )
% 0.79/1.17 , clause( 255, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) )
% 0.79/1.17 , =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.79/1.17 , clause( 256, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.17 'tc_nat' ), X, Y ), 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.17 'tc_nat' ), Z, Y ) ) ] )
% 0.79/1.17 , clause( 257, [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 0.79/1.17 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.79/1.17 , clause( 258, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~(
% 0.79/1.17 'c_ListOrder_Ostep1'( Z, 'c_List_Olist_OCons'( Y, T, U ),
% 0.79/1.17 'c_List_Olist_OCons'( X, W, U ), U ) ) ] )
% 0.79/1.17 , clause( 259, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.79/1.17 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ] )
% 0.79/1.17 , clause( 260, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.79/1.17 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.17 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ] )
% 0.79/1.17 , clause( 261, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 0.79/1.17 , clause( 262, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T
% 0.79/1.17 ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 0.79/1.17 , clause( 263, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 0.79/1.17 , clause( 264, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T
% 0.79/1.17 ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 0.79/1.17 , clause( 265, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.17 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.17 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.17 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.17 'c_HOL_Oplus__class_Oplus'( X ), Y, T, X ) ), 'c_Power_Opower_Opower'(
% 0.79/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X
% 0.79/1.17 ) ) ) ] )
% 0.79/1.17 , clause( 266, [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ),
% 0.79/1.17 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z
% 0.79/1.17 , U, T ), T ) ] )
% 0.79/1.17 , clause( 267, [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ),
% 0.79/1.17 'c_List_Oappend'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) )
% 0.79/1.17 ] )
% 0.79/1.17 , clause( 268, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.79/1.17 'c_List_Olist_ONil'( X ) ) ] )
% 0.79/1.17 , clause( 269, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 0.79/1.17 'c_List_Olist_OCons'( Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ]
% 0.79/1.17 )
% 0.79/1.17 , clause( 270, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ),
% 0.79/1.17 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, T, U ),
% 0.79/1.17 'c_List_Olist_OCons'( Z, T, U ), U ) ] )
% 0.79/1.17 , clause( 271, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 0.79/1.17 T, U, Z ) ) ), =( X, T ) ] )
% 0.79/1.17 , clause( 272, [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' )
% 0.79/1.17 ] )
% 0.79/1.17 , clause( 273, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.17 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.79/1.17 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 0.79/1.17 , clause( 274, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'(
% 0.79/1.17 X, T, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X,
% 0.79/1.17 Z ), Y ), T ) ) ) ] )
% 0.79/1.17 , clause( 275, [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.79/1.17 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB'
% 0.79/1.17 ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 0.79/1.17 , clause( 276, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~(
% 0.79/1.17 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.79/1.17 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.17 , clause( 277, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.79/1.17 'c_List_Olist_ONil'( Y ) ) ] )
% 0.79/1.17 , clause( 278, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y )
% 0.79/1.17 ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.79/1.17 , clause( 279, [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ] )
% 0.79/1.17 , clause( 280, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 0.79/1.17 , clause( 281, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 0.79/1.17 , clause( 282, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.79/1.17 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 0.79/1.17 , clause( 283, [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y
% 0.79/1.17 ) ) ] )
% 0.79/1.17 , clause( 284, [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z
% 0.79/1.17 ) ) ] )
% 0.79/1.17 , clause( 285, [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.79/1.17 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.79/1.17 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.17 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.17 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.79/1.17 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.79/1.17 , 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.17 , clause( 286, [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ),
% 0.79/1.17 'c_fequal'( X ) ) ] )
% 0.79/1.17 , clause( 287, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.17 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.79/1.18 , clause( 288, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~(
% 0.79/1.18 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.79/1.18 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 0.79/1.18 , clause( 289, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.18 'c_List_Olistsum'( 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ] )
% 0.79/1.18 , clause( 290, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.79/1.18 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.79/1.18 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 291, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ),
% 0.79/1.18 =( X, Z ) ] )
% 0.79/1.18 , clause( 292, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.18 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 293, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Power_Opower_Opower'(
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X
% 0.79/1.18 ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.18 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X ) ) ) ] )
% 0.79/1.18 , clause( 294, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) )
% 0.79/1.18 , =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 0.79/1.18 , clause( 295, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X,
% 0.79/1.18 Y, Z ), Z, Y ), X ) ] )
% 0.79/1.18 , clause( 296, [ =( 'c_Power_Opower_Opower'( X, Y, Z,
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T ), X ) ] )
% 0.79/1.18 , clause( 297, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X,
% 0.79/1.18 U ), W ) ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.79/1.18 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 0.79/1.18 , clause( 298, [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.79/1.18 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.79/1.18 ) ) ] )
% 0.79/1.18 , clause( 299, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.79/1.18 'c_List_Olist_ONil'( X ) ) ] )
% 0.79/1.18 , clause( 300, [ =( 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_Oappend'( Y,
% 0.79/1.18 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.79/1.18 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 301, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'(
% 0.79/1.18 'c_List_Olist_ONil'( X ), X ) ) ] )
% 0.79/1.18 , clause( 302, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.18 'c_List_Olistsum'( 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), 'c_List_Olistsum'( Y, X ) ),
% 0.79/1.18 'c_List_Olistsum'( Z, X ) ) ) ] )
% 0.79/1.18 , clause( 303, [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.18 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.79/1.18 'tc_Lambda_OdB' ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP(
% 0.79/1.18 hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.18 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.79/1.18 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 304, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X
% 0.79/1.18 , Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 0.79/1.18 , clause( 305, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X
% 0.79/1.18 , Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 0.79/1.18 , clause( 306, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.79/1.18 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.79/1.18 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ] )
% 0.79/1.18 , clause( 307, [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ),
% 0.79/1.18 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y
% 0.79/1.18 ), Y ), X ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 0.79/1.18 , clause( 308, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.18 'c_List_Olistsum'( 'c_List_Olist_ONil'( X ), X ),
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.79/1.18 , clause( 309, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.18 'tc_nat' ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 0.79/1.18 , clause( 310, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z )
% 0.79/1.18 ) ), =( Y, 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.18 'tc_nat' ) ) ] )
% 0.79/1.18 , clause( 311, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ] )
% 0.79/1.18 , clause( 312, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.79/1.18 , X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 0.79/1.18 , clause( 313, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'(
% 0.79/1.18 Z ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.79/1.18 , clause( 314, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z
% 0.79/1.18 , X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.79/1.18 , clause( 315, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.79/1.18 , 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.79/1.18 Y ) ) ] )
% 0.79/1.18 , clause( 316, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.79/1.18 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 317, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 0.79/1.18 , clause( 318, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.79/1.18 ), 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 0.79/1.18 , clause( 319, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 0.79/1.18 , clause( 320, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 0.79/1.18 , clause( 321, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ), Y ), X ) ] )
% 0.79/1.18 , clause( 322, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 0.79/1.18 , 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.79/1.18 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 323, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T
% 0.79/1.18 , U, Z ) ) ), =( 'c_List_Oappend'(
% 0.79/1.18 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 0.79/1.18 ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 0.79/1.18 , clause( 324, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T
% 0.79/1.18 , U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.79/1.18 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 0.79/1.18 , clause( 325, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T
% 0.79/1.18 , U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 0.79/1.18 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.79/1.18 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 0.79/1.18 , clause( 326, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T
% 0.79/1.18 , U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 0.79/1.18 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.79/1.18 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 0.79/1.18 , clause( 327, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.79/1.18 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.79/1.18 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 328, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Obutlast'( X, Y ) ) ] )
% 0.79/1.18 , clause( 329, [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.79/1.18 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 330, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 0.79/1.18 , clause( 331, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.79/1.18 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.79/1.18 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 332, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.79/1.18 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 333, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T
% 0.79/1.18 , U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 0.79/1.18 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.79/1.18 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 334, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T
% 0.79/1.18 , U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 0.79/1.18 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.79/1.18 ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 335, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 0.79/1.18 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 336, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 0.79/1.18 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 337, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 0.79/1.18 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 0.79/1.18 ), W ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T,
% 0.79/1.18 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ] )
% 0.79/1.18 , clause( 338, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~(
% 0.79/1.18 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 0.79/1.18 'c_List_Olist_ONil'( U ), U ), U ), 'c_List_Oappend'( W,
% 0.79/1.18 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ] )
% 0.79/1.18 , clause( 339, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T
% 0.79/1.18 , U, Z ) ) ), =( 'c_List_Oappend'(
% 0.79/1.18 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 0.79/1.18 ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 340, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T
% 0.79/1.18 , U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.79/1.18 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 341, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.79/1.18 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.79/1.18 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ] )
% 0.79/1.18 , clause( 342, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X
% 0.79/1.18 , T, U, W ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T,
% 0.79/1.18 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.79/1.18 'c_List_Oappend'( U, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 0.79/1.18 ), W ), W ) ) ] )
% 0.79/1.18 , clause( 343, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y
% 0.79/1.18 ) ) ), =( X, 'c_List_Oappend'( 'c_List_Orev'( T, Y ),
% 0.79/1.18 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ] )
% 0.79/1.18 , clause( 344, [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y )
% 0.79/1.18 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.79/1.18 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 0.79/1.18 , clause( 345, [ =( '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 , clause( 346, [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~(
% 0.79/1.18 'c_ListOrder_Ostep1'( Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U,
% 0.79/1.18 'c_List_Olist_ONil'( T ), T ), T ), 'c_List_Oappend'( Y,
% 0.79/1.18 'c_List_Olist_OCons'( W, 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ] )
% 0.79/1.18 , clause( 347, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.79/1.18 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.79/1.18 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 348, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.79/1.18 , 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 349, [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'(
% 0.79/1.18 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'(
% 0.79/1.18 X, 'c_Lambda_Osubst'( U, Y, T ), W ) ] )
% 0.79/1.18 , clause( 350, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.79/1.18 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ] )
% 0.79/1.18 , clause( 351, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 0.79/1.18 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.79/1.18 ) ) ) ] )
% 0.79/1.18 , clause( 352, [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z
% 0.79/1.18 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), T ), Y ) ) ) ] )
% 0.79/1.18 , clause( 353, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______',
% 0.79/1.18 'v_ia______', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____',
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ] )
% 0.79/1.18 , clause( 354, [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.79/1.18 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.79/1.18 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 0.79/1.18 , clause( 355, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 0.79/1.18 ), Y ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 356, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'(
% 0.79/1.18 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', X ), Y ), Z ) ] )
% 0.79/1.18 , clause( 357, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ),
% 0.79/1.18 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.79/1.18 ), Y ) ) ) ] )
% 0.79/1.18 , clause( 358, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.79/1.18 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.79/1.18 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.79/1.18 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 0.79/1.18 , clause( 359, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.79/1.18 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.79/1.18 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.79/1.18 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 0.79/1.18 , clause( 360, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.79/1.18 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.79/1.18 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.79/1.18 'tc_Lambda_OdB' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.79/1.18 ), Z ) ) ) ] )
% 0.79/1.18 , clause( 361, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.79/1.18 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 362, [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.18 'tc_nat' ) ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) )
% 0.79/1.18 , ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 0.79/1.18 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.79/1.18 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 0.79/1.18 , clause( 363, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.79/1.18 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 0.79/1.18 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 0.79/1.18 , clause( 364, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.79/1.18 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ] )
% 0.79/1.18 , clause( 365, [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.79/1.18 , Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z,
% 0.79/1.18 T ) ), 'c_Lambda_Osubst'( Y, Z, T ) ) ) ] )
% 0.79/1.18 , clause( 366, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 367, [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.79/1.18 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ] )
% 0.79/1.18 , clause( 368, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.18 'c_List_Olistsum'( Y, X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X
% 0.79/1.18 ), Y, 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ] )
% 0.79/1.18 , clause( 369, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.79/1.18 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.79/1.18 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.79/1.18 , clause( 370, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.79/1.18 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 0.79/1.18 , clause( 371, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.18 ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.18 ) ) ] )
% 0.79/1.18 , clause( 372, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.79/1.18 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.79/1.18 ), T ) ) ) ] )
% 0.79/1.18 , clause( 373, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.79/1.18 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.79/1.18 ), T ) ) ) ] )
% 0.79/1.18 , clause( 374, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.79/1.18 'class_Int_Onumber__ring'( X ) ), ~( =( Y, hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), =( Z,
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.79/1.18 , clause( 375, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =(
% 0.79/1.18 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X, X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ] )
% 0.79/1.18 , clause( 376, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 0.79/1.18 , clause( 377, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 0.79/1.18 , clause( 378, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 0.79/1.18 , clause( 379, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.79/1.18 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.79/1.18 , Y ), T ) ) ) ] )
% 0.79/1.18 , clause( 380, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.79/1.18 ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 0.79/1.18 , clause( 381, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.79/1.18 ), Z ), Z ) ) ] )
% 0.79/1.18 , clause( 382, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.79/1.18 ), Z ), Z ) ) ] )
% 0.79/1.18 , clause( 383, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 0.79/1.18 , clause( 384, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X
% 0.79/1.18 , Y, Z ) ), 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Lambda_Obeta', X ), T ) ) ) ] )
% 0.79/1.18 , clause( 385, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 0.79/1.18 'c_List_Oappend'( T, Y, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 386, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 0.79/1.18 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 387, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.18 'c_List_Olistsum'( Y, X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X
% 0.79/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ] )
% 0.79/1.18 , clause( 388, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.18 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.79/1.18 , clause( 389, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.18 X ), Y ), Z ) ), T ) ) ] )
% 0.79/1.18 , clause( 390, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 0.79/1.18 , clause( 391, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 0.79/1.18 , clause( 392, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 0.79/1.18 , clause( 393, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 0.79/1.18 , clause( 394, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.18 X ), Y ), Z ) ), T ) ) ] )
% 0.79/1.18 , clause( 395, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.18 X ), Y ), T ) ), Z ) ) ] )
% 0.79/1.18 , clause( 396, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 0.79/1.18 , clause( 397, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 0.79/1.18 , clause( 398, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ] )
% 0.79/1.18 , clause( 399, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.79/1.18 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.79/1.18 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.79/1.18 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 400, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.79/1.18 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 0.79/1.18 , clause( 401, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) )
% 0.79/1.18 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 0.79/1.18 , clause( 402, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.79/1.18 ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 0.79/1.18 , clause( 403, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.79/1.18 ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ] )
% 0.79/1.18 , clause( 404, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ), hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.18 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 405, [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____'
% 0.79/1.18 , 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 406, [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.79/1.18 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 0.79/1.18 , clause( 407, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.18 X ) ), Y ), Y ) ] )
% 0.79/1.18 , clause( 408, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.18 , Y ), Y ) ] )
% 0.79/1.18 , clause( 409, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.79/1.18 'class_Int_Onumber__ring'( X ) ), =( Y, hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 410, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.18 ) ), Y ) ] )
% 0.79/1.18 , clause( 411, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.18 Y ) ] )
% 0.79/1.18 , clause( 412, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.18 Y ) ] )
% 0.79/1.18 , clause( 413, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 0.79/1.18 , clause( 414, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.18 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.18 X ) ), Y ), Y ) ] )
% 0.79/1.18 , clause( 415, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.79/1.18 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.79/1.18 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.79/1.18 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.79/1.18 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 0.79/1.18 , clause( 416, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ) ] )
% 0.79/1.18 , clause( 417, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.79/1.18 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 418, [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'(
% 0.79/1.18 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 419, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 0.79/1.18 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 420, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 0.79/1.18 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 421, [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'(
% 0.79/1.18 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 422, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.18 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP(
% 0.79/1.18 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.79/1.18 ) ) ) ] )
% 0.79/1.18 , clause( 423, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.79/1.18 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ), 'c_List_Ofoldr'(
% 0.79/1.18 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.79/1.18 ) ) ] )
% 0.79/1.18 , clause( 424, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'(
% 0.79/1.18 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ] )
% 0.79/1.18 , clause( 425, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( Y ),
% 0.79/1.18 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 426, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 0.79/1.18 'tc_Lambda_OdB' ) ) ] )
% 0.79/1.18 , clause( 427, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.79/1.18 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.79/1.18 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ) ) ) ) ] )
% 0.79/1.18 , clause( 428, [ 'c_Type_Otypings'( X, Y,
% 0.79/1.18 'c_Type_Osko__Type__Xvar__app__types__1__1'( Z, T, X, Y ) ), ~(
% 0.79/1.18 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ) ),
% 0.79/1.18 ~( 'c_Type_Otypings'( X, W, V0 ) ), ~( 'c_Type_Otyping'( X,
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.79/1.18 , clause( 429, [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y )
% 0.79/1.18 ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) ) )
% 0.79/1.18 , ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.79/1.18 T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype' )
% 0.79/1.18 , Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ] )
% 0.79/1.18 , clause( 430, [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y )
% 0.79/1.18 ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) ) )
% 0.79/1.18 , ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.79/1.18 T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype' )
% 0.79/1.18 , Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ] )
% 0.79/1.18 , clause( 431, [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.79/1.18 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.79/1.18 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.79/1.18 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.79/1.18 , Y ) ) ] )
% 0.79/1.18 , clause( 432, [ 'c_Type_Otypings'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 0.79/1.18 'v_T____', 'tc_Type_Otype' ), 'v_as____', 'v_Ts____' ) ] )
% 0.79/1.18 , clause( 433, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 0.79/1.18 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 0.79/1.18 , clause( 434, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.18 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 0.79/1.18 , clause( 435, [ =( 'c_Type_Otype_Otype__case'( X, Y, 'c_Type_Otype_OAtom'(
% 0.79/1.18 Z ), T ), hAPP( X, Z ) ) ] )
% 0.79/1.18 , clause( 436, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W,
% 0.79/1.18 U ), 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 437, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'(
% 0.79/1.18 X ) ), 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Lambda_Obeta', X ), Y ) ) ) ] )
% 0.79/1.18 , clause( 438, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.79/1.18 X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z
% 0.79/1.18 ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 0.79/1.18 , clause( 439, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'(
% 0.79/1.18 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X ), X ) ) ] )
% 0.79/1.18 , clause( 440, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP(
% 0.79/1.18 'c_InductTermi_OIT', X ) ) ) ] )
% 0.79/1.18 , clause( 441, [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.79/1.18 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 442, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 0.79/1.18 , clause( 443, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 0.79/1.18 , clause( 444, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y
% 0.79/1.18 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 0.79/1.18 , clause( 445, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z
% 0.79/1.18 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ] )
% 0.79/1.18 , clause( 446, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X )
% 0.79/1.18 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 0.79/1.18 , clause( 447, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.79/1.18 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 0.79/1.18 , clause( 448, [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.79/1.18 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 449, [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z,
% 0.79/1.18 'c_Type_Otype_OAtom'( T ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, T ) )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 450, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'(
% 0.79/1.18 Z ) ) ) ] )
% 0.79/1.18 , clause( 451, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'(
% 0.79/1.18 Z ) ) ) ] )
% 0.79/1.18 , clause( 452, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T
% 0.79/1.18 ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 0.79/1.18 , clause( 453, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T
% 0.79/1.18 ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 0.79/1.18 , clause( 454, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z
% 0.79/1.18 ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 455, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z
% 0.79/1.18 ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 456, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 0.79/1.18 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 0.79/1.18 , clause( 457, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U )
% 0.79/1.18 , W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 0.79/1.18 , clause( 458, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.79/1.18 'c_Type_Osko__Type__Xtype__induct__1__1'( X ) ) ) ) ] )
% 0.79/1.18 , clause( 459, [ 'c_Type_Otypings'( X, Y,
% 0.79/1.18 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, T, Y ) ), ~(
% 0.79/1.18 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.79/1.18 , clause( 460, [ 'c_Type_Otyping'( X, Y,
% 0.79/1.18 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, T, Y ) ), ~(
% 0.79/1.18 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T ), Y ), Z ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 461, [ 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 0.79/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.79/1.18 'c_Type_Osko__Type__Xtyping__elims__3__1'( Y, X, Z ), 'tc_Type_Otype' ),
% 0.79/1.18 Z, 'c_Type_Osko__Type__Xtyping__elims__3__2'( Y, X, Z ) ), ~(
% 0.79/1.18 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Z ), Y ) ) ] )
% 0.79/1.18 , clause( 462, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y
% 0.79/1.18 , Z ) ) ), =( X, T ) ] )
% 0.79/1.18 , clause( 463, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T
% 0.79/1.18 , Z ) ) ), =( Y, T ) ] )
% 0.79/1.18 , clause( 464, [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 465, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 466, [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 467, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 468, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 469, [ ~( =( 'c_Type_Otype_OAtom'( X ), 'c_Type_Otype_OAtom'( Y )
% 0.79/1.18 ) ), =( X, Y ) ] )
% 0.79/1.18 , clause( 470, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X )
% 0.79/1.18 ) ) ] )
% 0.79/1.18 , clause( 471, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 472, [ =( 'v_n____', 'v_i____' ) ] )
% 0.79/1.18 , clause( 473, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z )
% 0.79/1.18 , Y ) ] )
% 0.79/1.18 , clause( 474, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ] )
% 0.79/1.18 , clause( 475, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 0.79/1.18 , clause( 476, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X
% 0.79/1.18 ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 0.79/1.18 , clause( 477, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X
% 0.79/1.18 ) ) ), =( Z, 'c_List_Olist_ONil'( X ) ) ] )
% 0.79/1.18 , clause( 478, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) )
% 0.79/1.18 ), =( X, Y ) ] )
% 0.79/1.18 , clause( 479, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 0.79/1.18 ) ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 480, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 0.79/1.18 ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 481, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 0.79/1.18 , clause( 482, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 0.79/1.18 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 0.79/1.18 , clause( 483, [ =( 'c_Type_Otype_Otype__rec'( X, Y, 'c_Type_Otype_OAtom'(
% 0.79/1.18 Z ), T ), hAPP( X, Z ) ) ] )
% 0.79/1.18 , clause( 484, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 485, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.79/1.18 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ), X ) ) ] )
% 0.79/1.18 , clause( 486, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.79/1.18 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 0.79/1.18 , clause( 487, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 0.79/1.18 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 0.79/1.18 , clause( 488, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 0.79/1.18 , clause( 489, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 0.79/1.18 , clause( 490, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.79/1.18 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 0.79/1.18 , clause( 491, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z
% 0.79/1.18 , X ) ) ) ] )
% 0.79/1.18 , clause( 492, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.79/1.18 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ] )
% 0.79/1.18 , clause( 493, [ 'c_Type_Otypings'( X, Y,
% 0.79/1.18 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, T, Y ) ), ~(
% 0.79/1.18 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.79/1.18 , clause( 494, [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y,
% 0.79/1.18 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 495, [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y,
% 0.79/1.18 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 496, [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X,
% 0.79/1.18 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 497, [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y,
% 0.79/1.18 'c_List_Olist_ONil'( Z ) ) ] )
% 0.79/1.18 , clause( 498, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 0.79/1.18 'c_List_Olist_OCons'( Y, Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 499, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.79/1.18 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 0.79/1.18 , clause( 500, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.79/1.18 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 0.79/1.18 , clause( 501, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 0.79/1.18 , clause( 502, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 0.79/1.18 , clause( 503, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 0.79/1.18 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 0.79/1.18 , clause( 504, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.79/1.18 ), =( X, Y ) ] )
% 0.79/1.18 , clause( 505, [ 'c_Type_Otypings'( X, Y,
% 0.79/1.18 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, T, Y ) ), ~(
% 0.79/1.18 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 506, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.79/1.18 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 0.79/1.18 , clause( 507, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) )
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 508, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.18 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.79/1.18 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 509, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.79/1.18 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.79/1.18 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.79/1.18 ) ] )
% 0.79/1.18 , clause( 510, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 0.79/1.18 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X ) ) ] )
% 0.79/1.18 , clause( 511, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.79/1.18 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 512, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.79/1.18 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 0.79/1.18 , clause( 513, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.79/1.18 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 0.79/1.18 , clause( 514, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.79/1.18 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 0.79/1.18 , clause( 515, [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ),
% 0.79/1.18 'c_Type_Otype_OAtom'( Z ) ) ) ] )
% 0.79/1.18 , clause( 516, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 0.79/1.18 , clause( 517, [ =( X, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.79/1.18 'c_Type_Osko__Type__Xtyping__elims__3__1'( X, Y, Z ) ),
% 0.79/1.18 'c_Type_Osko__Type__Xtyping__elims__3__2'( X, Y, Z ) ) ), ~(
% 0.79/1.18 'c_Type_Otyping'( Y, 'c_Lambda_OdB_OAbs'( Z ), X ) ) ] )
% 0.79/1.18 , clause( 518, [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.79/1.18 'c_Lambda_Obeta', T ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 0.79/1.18 , clause( 519, [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP(
% 0.79/1.18 hAPP( 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ] )
% 0.79/1.18 , clause( 520, [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP(
% 0.79/1.18 hAPP( 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ] )
% 0.79/1.18 , clause( 521, [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U
% 0.79/1.18 , T, W ), hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ] )
% 0.79/1.18 , clause( 522, [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP(
% 0.79/1.18 hAPP( 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL(
% 0.79/1.18 hAPP( X, Z ) ) ] )
% 0.79/1.18 , clause( 523, [ ~( =( 'c_Type_Osko__Type__Xtype__induct__1__1'( X ), hAPP(
% 0.79/1.18 hAPP( 'c_Type_Otype_OFun', Y ), Z ) ) ), hBOOL( hAPP( X, T ) ), hBOOL(
% 0.79/1.18 hAPP( X, Y ) ) ] )
% 0.79/1.18 , clause( 524, [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y )
% 0.79/1.18 , Z ), T ), ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 0.79/1.18 hAPP( hAPP( 'c_Type_Otype_OFun', U ), T ) ) ) ] )
% 0.79/1.18 , clause( 525, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 0.79/1.18 'v_T____', 'tc_Type_Otype' ), 'v_a____', 'v_T_H_H____' ) ] )
% 0.79/1.18 , clause( 526, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.79/1.18 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.79/1.18 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.79/1.18 ] )
% 0.79/1.18 , clause( 527, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 0.79/1.18 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 0.79/1.18 , clause( 528, [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T,
% 0.79/1.18 W ), 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 529, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 0.79/1.18 'v_T____', 'tc_Type_Otype' ), 'c_Lambda_OdB_OVar'( 'v_n____' ), hAPP(
% 0.79/1.18 hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.79/1.18 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.79/1.18 'tc_Type_Otype' ) ) ) ] )
% 0.79/1.18 , clause( 530, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____',
% 0.79/1.18 'v_T____', 'tc_Type_Otype' ), hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.79/1.18 'c_Lambda_OdB_OVar'( 'v_n____' ) ), 'v_a____' ), 'c_List_Ofoldr'(
% 0.79/1.18 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.79/1.18 'tc_Type_Otype' ) ) ] )
% 0.79/1.18 , clause( 531, [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'(
% 0.79/1.18 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X,
% 0.79/1.18 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.79/1.18 , clause( 532, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ),
% 0.79/1.18 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.79/1.18 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, Y, T ), Z,
% 0.79/1.18 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.79/1.18 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.79/1.18 , clause( 533, [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.79/1.18 , Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X
% 0.79/1.18 , Z, U ) ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'(
% 0.79/1.18 'c_Type_Otype_OFun', U, T, 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ] )
% 0.79/1.18 , clause( 534, [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T )
% 0.79/1.18 , Z ) ] )
% 0.79/1.18 , clause( 535, [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.79/1.18 'v_T_H_H____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____',
% 0.79/1.18 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ] )
% 0.79/1.18 , clause( 536, [ =( 'c_Type_Otype_Otype__rec'( X, Y, hAPP( hAPP(
% 0.79/1.18 'c_Type_Otype_OFun', Z ), T ), U ), hAPP( hAPP( hAPP( hAPP( Y, Z ), T ),
% 0.79/1.18 'c_Type_Otype_Otype__rec'( X, Y, Z, U ) ), 'c_Type_Otype_Otype__rec'( X,
% 0.79/1.18 Y, T, U ) ) ) ] )
% 0.79/1.18 , clause( 537, [ =( 'c_Type_Otype_Otype__case'( X, Y, hAPP( hAPP(
% 0.79/1.18 'c_Type_Otype_OFun', Z ), T ), U ), hAPP( hAPP( Y, Z ), T ) ) ] )
% 0.79/1.18 , clause( 538, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y
% 0.79/1.18 ) ) ] )
% 0.79/1.18 , clause( 539, [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP(
% 0.79/1.18 hAPP( 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP(
% 0.79/1.18 hAPP( Z, T ), U ) ) ) ] )
% 0.79/1.18 , clause( 540, [ ~( hBOOL( hAPP( X, 'c_Type_Otype_Otype__case'( Y, Z, hAPP(
% 0.79/1.18 hAPP( 'c_Type_Otype_OFun', T ), U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP(
% 0.79/1.18 hAPP( Z, T ), U ) ) ) ] )
% 0.79/1.18 , clause( 541, [ ~( =( 'c_Type_Otype_OAtom'( X ), hAPP( hAPP(
% 0.79/1.18 'c_Type_Otype_OFun', Y ), Z ) ) ) ] )
% 0.79/1.18 , clause( 542, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ] )
% 0.79/1.18 , clause( 543, [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'(
% 0.79/1.18 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X,
% 0.79/1.18 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.79/1.18 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.79/1.18 'tc_Lambda_OdB' ), Z ) ) ] )
% 0.79/1.18 , clause( 544, [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.79/1.18 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.79/1.18 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.79/1.18 )
% 0.79/1.18 , clause( 545, [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.79/1.19 'v_T_H_H____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____',
% 0.79/1.19 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ] )
% 0.79/1.19 , clause( 546, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 0.79/1.19 , clause( 547, [ ~( 'c_Type_Otyping'( 'v_e____', 'v_u____', hAPP( hAPP(
% 0.79/1.19 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.79/1.19 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.79/1.19 'tc_Type_Otype' ) ) ) ) ] )
% 0.79/1.19 , clause( 548, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat'
% 0.79/1.19 ) ] )
% 0.79/1.19 , clause( 549, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ]
% 0.79/1.19 )
% 0.79/1.19 , clause( 550, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ]
% 0.79/1.19 )
% 0.79/1.19 , clause( 551, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ] )
% 0.79/1.19 , clause( 552, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 0.79/1.19 , clause( 553, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 0.79/1.19 , clause( 554, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 0.79/1.19 , clause( 555, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.79/1.19 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 556, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 0.79/1.19 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 557, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 0.79/1.19 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 558, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint'
% 0.79/1.19 ) ] )
% 0.79/1.19 , clause( 559, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' )
% 0.79/1.19 ] )
% 0.79/1.19 , clause( 560, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.79/1.19 )
% 0.79/1.19 , clause( 561, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 562, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 563, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 564, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 565, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 566, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 0.79/1.19 , clause( 567, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 0.79/1.19 , clause( 568, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y )
% 0.79/1.19 ) ) ] )
% 0.79/1.19 ] ).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 subsumption(
% 0.79/1.19 clause( 220, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 0.79/1.19 , clause( 516, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ] )
% 0.79/1.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 eqswap(
% 0.79/1.19 clause( 1302, [ =( hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.79/1.19 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.79/1.19 'tc_Type_Otype', 'tc_Type_Otype' ) ), 'v_T____' ) ] )
% 0.79/1.19 , clause( 535, [ =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.79/1.19 'v_T_H_H____' ), 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____',
% 0.79/1.19 'v_T_H____', 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ] )
% 0.79/1.19 , 0, substitution( 0, [] )).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 subsumption(
% 0.79/1.19 clause( 239, [ =( hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.79/1.19 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.79/1.19 'tc_Type_Otype', 'tc_Type_Otype' ) ), 'v_T____' ) ] )
% 0.79/1.19 , clause( 1302, [ =( hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.79/1.19 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.79/1.19 'tc_Type_Otype', 'tc_Type_Otype' ) ), 'v_T____' ) ] )
% 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( 1986, [ ~( 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ) ]
% 0.79/1.19 )
% 0.79/1.19 , clause( 239, [ =( hAPP( hAPP( 'c_Type_Otype_OFun', 'v_T_H_H____' ),
% 0.79/1.19 'c_List_Ofoldr'( 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____',
% 0.79/1.19 'tc_Type_Otype', 'tc_Type_Otype' ) ), 'v_T____' ) ] )
% 0.79/1.19 , 0, clause( 547, [ ~( 'c_Type_Otyping'( 'v_e____', 'v_u____', hAPP( hAPP(
% 0.79/1.19 'c_Type_Otype_OFun', 'v_T_H_H____' ), 'c_List_Ofoldr'(
% 0.79/1.19 'c_Type_Otype_OFun', 'v_Ts____', 'v_T_H____', 'tc_Type_Otype',
% 0.79/1.19 'tc_Type_Otype' ) ) ) ) ] )
% 0.79/1.19 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 resolution(
% 0.79/1.19 clause( 1987, [] )
% 0.79/1.19 , clause( 1986, [ ~( 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) )
% 0.79/1.19 ] )
% 0.79/1.19 , 0, clause( 220, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ]
% 0.79/1.19 )
% 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( 246, [] )
% 0.79/1.19 , clause( 1987, [] )
% 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: 15932
% 0.79/1.19 space for clauses: 26548
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 clauses generated: 300
% 0.79/1.19 clauses kept: 247
% 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: 13393
% 0.79/1.19 literals s-matched: 4731
% 0.79/1.19 literals matched: 4695
% 0.79/1.19 full subsumption: 524
% 0.79/1.19
% 0.79/1.19 checksum: 1320543092
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 Bliksem ended
%------------------------------------------------------------------------------