TSTP Solution File: LCL856-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 07:58:50 EDT 2022
% Result : Unsatisfiable 2.12s 2.50s
% Output : Refutation 2.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jul 3 12:28:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.15 *** allocated 10000 integers for termspace/termends
% 0.75/1.15 *** allocated 10000 integers for clauses
% 0.75/1.15 *** allocated 10000 integers for justifications
% 0.75/1.15 Bliksem 1.12
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Automatic Strategy Selection
% 0.75/1.15
% 0.75/1.15 Clauses:
% 0.75/1.15 [
% 0.75/1.15 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.75/1.15 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.75/1.15 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.75/1.15 =( Y, T ) ],
% 0.75/1.15 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.75/1.15 =( X, Z ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.75/1.15 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 0.75/1.15 'c_Type_Otype_OFun'( U, T ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.75/1.15 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.75/1.15 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.75/1.15 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.75/1.15 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ],
% 0.75/1.15 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.75/1.15 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X,
% 0.75/1.15 'c_Lambda_Osubst'( U, Y, T ), W ) ],
% 0.75/1.15 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.75/1.15 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.75/1.15 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.75/1.15 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.75/1.15 ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.75/1.15 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), 'c_Type_Otype_OFun'( Z
% 0.75/1.15 , T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.75/1.15 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.75/1.15 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.75/1.15 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.75/1.15 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.75/1.15 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.75/1.15 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X, Y, Z ) ) ),
% 0.75/1.15 ~( 'c_Type_Otyping'( T, Y, U ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Y
% 0.75/1.15 ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( T, Z, U, 'tc_Type_Otype' )
% 0.75/1.15 , X, W ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.15 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.75/1.15 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.75/1.15 ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.15 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.75/1.15 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.75/1.15 Z ) ) ) ],
% 0.75/1.15 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.75/1.15 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( U, 'tc_fun'(
% 0.75/1.15 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( U, 'tc_fun'(
% 0.75/1.15 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.75/1.15 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.75/1.15 ) ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.75/1.15 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.75/1.15 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.75/1.15 ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.75/1.15 ), Z ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.75/1.15 , Y ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.75/1.15 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Predicate_Opred__comp'( X, Y, Z, T, U ), W ), V0
% 0.75/1.15 ) ), ~( hBOOL( hAPP( hAPP( Y, V1 ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( X, W
% 0.75/1.15 ), V1 ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.75/1.15 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y )
% 0.75/1.15 , Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), U ),
% 0.75/1.15 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y )
% 0.75/1.15 , Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.75/1.15 ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.75/1.15 ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.75/1.15 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.75/1.15 ), Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.75/1.15 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.75/1.15 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 0.75/1.15 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 0.75/1.15 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_OwfP'( 'c_Transitive__Closure_Otranclp'( X, Y ), Y ),
% 0.75/1.15 ~( 'c_Wellfounded_OwfP'( X, Y ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ),
% 0.75/1.15 T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( T
% 0.75/1.15 , Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.75/1.15 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Y ), Z ) ),
% 0.75/1.15 ~( hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X
% 0.75/1.15 , 'tc_fun'( U, 'tc_fun'( W, 'tc_bool' ) ) ), Y ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.75/1.15 , 'tc_fun'( Z, 'tc_fun'( T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( Y, U ), W ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.75/1.15 , 'tc_fun'( Z, 'tc_fun'( T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( X, U ), W ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.15 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.75/1.15 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y ) ) ), ~(
% 0.75/1.15 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.75/1.15 Z ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.75/1.15 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.75/1.15 , Y ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.75/1.15 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.15 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'( X, Y,
% 0.75/1.15 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_Lambda_Olift'( X, Y ) ), 'c_Lambda_Olift'( Z, Y )
% 0.75/1.15 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.75/1.15 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), X ) ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.75/1.15 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.75/1.15 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_fequal'( Y ),
% 0.75/1.15 'tc_fun'( Y, 'tc_fun'( Y, 'tc_bool' ) ) ), Y ),
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 0.75/1.15 , Y ), Z ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 0.75/1.15 , Y ), Z ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.75/1.15 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.75/1.15 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.75/1.15 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ),
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( Z, Y ), 'tc_fun'( Y, 'tc_fun'( Y,
% 0.75/1.15 'tc_bool' ) ) ), Y ), 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 'tc_fun'(
% 0.75/1.15 Y, 'tc_bool' ) ) ), Y ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.75/1.15 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 0.75/1.15 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.75/1.15 ) ) ) ],
% 0.75/1.15 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.75/1.15 'c_Transitive__Closure_Otranclp'( X, Y ), 'c_fequal'( Y ), 'tc_fun'( Y,
% 0.75/1.15 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Transitive__Closure_Ortranclp'( X, Y ) )
% 0.75/1.15 ],
% 0.75/1.15 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.75/1.15 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.75/1.15 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.75/1.15 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.75/1.15 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.75/1.15 Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), U ),
% 0.75/1.15 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ),
% 0.75/1.15 Z ), U ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.75/1.15 ) ],
% 0.75/1.15 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.75/1.15 Z ) ) ) ],
% 0.75/1.15 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.75/1.15 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.75/1.15 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.75/1.15 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.75/1.15 , 'tc_fun'( Z, 'tc_fun'( T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( Y, U ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), W ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.75/1.15 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), U ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), U ),
% 0.75/1.15 T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.75/1.15 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.75/1.15 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, Z, T ) ) ) ),
% 0.75/1.15 ~( 'c_Wellfounded_Oaccp'( Z, Y, T ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( T
% 0.75/1.15 , Z ), 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, T, U )
% 0.75/1.15 ) ) ), ~( 'c_Wellfounded_Oaccp'( T, Y, U ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1'( X, Y, Z ) ), Y
% 0.75/1.15 ) ), 'c_Wellfounded_Oaccp'( X, Y, Z ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.75/1.15 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_OwfP'( X, Z ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.75/1.15 ), X ) ],
% 0.75/1.15 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.75/1.15 ) ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), hBOOL( hAPP( hAPP( X,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1'( X, Y, Z ) ), Y )
% 0.75/1.15 ) ],
% 0.75/1.15 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.75/1.15 ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'(
% 0.75/1.15 'c_Transitive__Closure_Otranclp'( X, Y ), Y, Y ), Z ), T ) ), ~( hBOOL(
% 0.75/1.15 hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( 'c_Predicate_Oconversep'( X
% 0.75/1.15 , Y, Y ), Y ), Z ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 0.75/1.15 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( 'c_Predicate_Oconversep'( 'c_Transitive__Closure_Otranclp'( X, Y )
% 0.75/1.15 , Y, Y ), Z ), T ) ) ) ],
% 0.75/1.15 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.75/1.15 , Z ) ) ],
% 0.75/1.15 [ ~( 'c_Wellfounded_Oaccp'( X,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1'( X, Y, Z ), Z )
% 0.75/1.15 ), 'c_Wellfounded_Oaccp'( X, Y, Z ) ],
% 0.75/1.15 [ =( 'c_Transitive__Closure_Otranclp'( 'c_Predicate_Oconversep'( X, Y, Y
% 0.75/1.15 ), Y ), 'c_Predicate_Oconversep'( 'c_Transitive__Closure_Otranclp'( X, Y
% 0.75/1.15 ), Y, Y ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.75/1.15 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.75/1.15 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.75/1.15 'c_InductTermi_OIT', X ) ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.75/1.15 , T ) ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.75/1.15 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.75/1.15 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.75/1.15 , X ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.75/1.15 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, Z ) ) ) ), ~(
% 0.75/1.15 'c_Wellfounded_Oaccp'( Z, Y, 't_a' ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( T
% 0.75/1.15 , Z ), 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, T ) ) ) ), ~(
% 0.75/1.15 'c_Wellfounded_Oaccp'( T, Y, 't_a' ) ) ],
% 0.75/1.15 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.15 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~(
% 0.75/1.15 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 0.75/1.15 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.75/1.15 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.75/1.15 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.75/1.15 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, Z ) ) ) ), ~(
% 0.75/1.15 'c_Wellfounded_Oaccp'( Z, Y, 't_a' ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( T
% 0.75/1.15 , Z ), 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, T ) ) ) ), ~(
% 0.75/1.15 'c_Wellfounded_Oaccp'( T, Y, 't_a' ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.75/1.15 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.75/1.15 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.75/1.15 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), 'c_Wellfounded_Oaccp'( Z, T, 't_a' ), ~( hBOOL(
% 0.75/1.15 hAPP( hAPP( Z, T ), 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, Z ) ) )
% 0.75/1.15 ), ~( 'c_Wellfounded_Oaccp'( Z, Y, 't_a' ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), 'c_Wellfounded_Oaccp'( Z, T, 't_a' ), ~( hBOOL(
% 0.75/1.15 hAPP( hAPP( Z, T ), 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, Z ) ) ) )
% 0.75/1.15 , ~( 'c_Wellfounded_Oaccp'( Z, Y, 't_a' ) ) ],
% 0.75/1.15 [ =( 'c_Predicate_Oconversep'(
% 0.75/1.15 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 0.75/1.15 T, 'tc_bool' ) ) ), Z, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.75/1.15 'c_Predicate_Oconversep'( X, Z, T ), 'c_Predicate_Oconversep'( Y, Z, T )
% 0.75/1.15 , 'tc_fun'( T, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.75/1.15 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.75/1.15 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), 'c_Wellfounded_Oaccp'( Z,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, Z, T ), T ),
% 0.75/1.15 ~( 'c_Wellfounded_Oaccp'( Z, Y, T ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.75/1.15 [ =( 'c_Predicate_Oconversep'(
% 0.75/1.15 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 0.75/1.15 T, 'tc_bool' ) ) ), Z, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.75/1.15 'c_Predicate_Oconversep'( X, Z, T ), 'c_Predicate_Oconversep'( Y, Z, T )
% 0.75/1.15 , 'tc_fun'( T, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1'( X, Y, Z ), Z ) )
% 0.75/1.15 ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1'( X, Y, Z ), Z ) ) ],
% 0.75/1.15 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), hBOOL( hAPP( hAPP( X,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1'( X, Y, Z ) ), Y ) ) ]
% 0.75/1.15 ,
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.15 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.75/1.15 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.75/1.15 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), 'c_Wellfounded_Oaccp'( Z,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, Z, T ),
% 0.75/1.15 T ), ~( 'c_Wellfounded_Oaccp'( Z, Y, T ) ) ],
% 0.75/1.15 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.75/1.15 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.75/1.15 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Olift'( X, Y ) ),
% 0.75/1.15 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.75/1.15 , Z ) ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.75/1.15 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, Z, T ) )
% 0.75/1.15 ) ), ~( 'c_Wellfounded_Oaccp'( Z, Y, T ) ) ],
% 0.75/1.15 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( T
% 0.75/1.15 , Z ), 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, T
% 0.75/1.15 , U ) ) ) ), ~( 'c_Wellfounded_Oaccp'( T, Y, U ) ) ],
% 0.75/1.15 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Opred__comp'( X, Y, Z, T, U
% 0.75/1.15 ), Z, U ), 'c_Predicate_Opred__comp'( 'c_Predicate_Oconversep'( Y, T, U
% 2.12/2.50 ), 'c_Predicate_Oconversep'( X, Z, T ), U, T, Z ) ) ],
% 2.12/2.50 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Type_Otyping'( Y, X, Z
% 2.12/2.50 ) ) ],
% 2.12/2.50 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 2.12/2.50 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 2.12/2.50 , Y ) ) ) ],
% 2.12/2.50 [ 'c_Type_Otyping'( 'v_e', 'v_t', 'v_T' ) ],
% 2.12/2.50 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_t', 'tc_Lambda_OdB' ) ) ],
% 2.12/2.50 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 2.12/2.50 'class_Lattices_Olattice'( Y ) ) ],
% 2.12/2.50 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 2.12/2.50 'class_Lattices_Olattice'( Y ) ) ],
% 2.12/2.50 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 2.12/2.50 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 2.12/2.50 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 2.12/2.50 'class_Lattices_Olattice'( Y ) ) ],
% 2.12/2.50 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 2.12/2.50 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 2.12/2.50 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 2.12/2.50 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 2.12/2.50 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 2.12/2.50 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 2.12/2.50 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 2.12/2.50 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 2.12/2.50 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 2.12/2.50 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 2.12/2.50 ] .
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 percentage equality = 0.265928, percentage horn = 0.922652
% 2.12/2.50 This is a problem with some equality
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Options Used:
% 2.12/2.50
% 2.12/2.50 useres = 1
% 2.12/2.50 useparamod = 1
% 2.12/2.50 useeqrefl = 1
% 2.12/2.50 useeqfact = 1
% 2.12/2.50 usefactor = 1
% 2.12/2.50 usesimpsplitting = 0
% 2.12/2.50 usesimpdemod = 5
% 2.12/2.50 usesimpres = 3
% 2.12/2.50
% 2.12/2.50 resimpinuse = 1000
% 2.12/2.50 resimpclauses = 20000
% 2.12/2.50 substype = eqrewr
% 2.12/2.50 backwardsubs = 1
% 2.12/2.50 selectoldest = 5
% 2.12/2.50
% 2.12/2.50 litorderings [0] = split
% 2.12/2.50 litorderings [1] = extend the termordering, first sorting on arguments
% 2.12/2.50
% 2.12/2.50 termordering = kbo
% 2.12/2.50
% 2.12/2.50 litapriori = 0
% 2.12/2.50 termapriori = 1
% 2.12/2.50 litaposteriori = 0
% 2.12/2.50 termaposteriori = 0
% 2.12/2.50 demodaposteriori = 0
% 2.12/2.50 ordereqreflfact = 0
% 2.12/2.50
% 2.12/2.50 litselect = negord
% 2.12/2.50
% 2.12/2.50 maxweight = 15
% 2.12/2.50 maxdepth = 30000
% 2.12/2.50 maxlength = 115
% 2.12/2.50 maxnrvars = 195
% 2.12/2.50 excuselevel = 1
% 2.12/2.50 increasemaxweight = 1
% 2.12/2.50
% 2.12/2.50 maxselected = 10000000
% 2.12/2.50 maxnrclauses = 10000000
% 2.12/2.50
% 2.12/2.50 showgenerated = 0
% 2.12/2.50 showkept = 0
% 2.12/2.50 showselected = 0
% 2.12/2.50 showdeleted = 0
% 2.12/2.50 showresimp = 1
% 2.12/2.50 showstatus = 2000
% 2.12/2.50
% 2.12/2.50 prologoutput = 1
% 2.12/2.50 nrgoals = 5000000
% 2.12/2.50 totalproof = 1
% 2.12/2.50
% 2.12/2.50 Symbols occurring in the translation:
% 2.12/2.50
% 2.12/2.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.12/2.50 . [1, 2] (w:1, o:90, a:1, s:1, b:0),
% 2.12/2.50 ! [4, 1] (w:0, o:75, a:1, s:1, b:0),
% 2.12/2.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.12/2.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.12/2.50 'c_List_Olist_ONil' [41, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.12/2.50 'c_ListOrder_Ostep1' [43, 4] (w:1, o:137, a:1, s:1, b:0),
% 2.12/2.50 'c_Type_Otype_OFun' [46, 2] (w:1, o:115, a:1, s:1, b:0),
% 2.12/2.50 'c_Lambda_OdB_OApp' [50, 0] (w:1, o:28, a:1, s:1, b:0),
% 2.12/2.50 hAPP [52, 2] (w:1, o:116, a:1, s:1, b:0),
% 2.12/2.50 'c_Type_Otyping' [55, 3] (w:1, o:124, a:1, s:1, b:0),
% 2.12/2.50 'c_Lambda_OdB_OAbs' [57, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.12/2.50 'tc_Lambda_OdB' [59, 0] (w:1, o:33, a:1, s:1, b:0),
% 2.12/2.50 'c_List_Ofoldl' [60, 5] (w:1, o:140, a:1, s:1, b:0),
% 2.12/2.50 'c_Lambda_Obeta' [61, 0] (w:1, o:34, a:1, s:1, b:0),
% 2.12/2.50 hBOOL [63, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.12/2.50 'tc_Type_Otype' [66, 0] (w:1, o:37, a:1, s:1, b:0),
% 2.12/2.50 'c_Type_Oshift' [67, 4] (w:1, o:138, a:1, s:1, b:0),
% 2.12/2.50 'c_Lambda_Olift' [68, 2] (w:1, o:117, a:1, s:1, b:0),
% 2.12/2.50 'c_Lambda_Osubst' [71, 3] (w:1, o:125, a:1, s:1, b:0),
% 2.12/2.50 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [74, 3] (w:1
% 2.12/2.50 , o:126, a:1, s:1, b:0),
% 2.12/2.50 'c_Lambda_OdB_OVar' [75, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.12/2.50 'tc_nat' [76, 0] (w:1, o:45, a:1, s:1, b:0),
% 2.12/2.50 'c_HOL_Ozero__class_Ozero' [77, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.12/2.50 'c_List_Olistsp' [83, 3] (w:1, o:127, a:1, s:1, b:0),
% 2.12/2.50 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [85
% 2.12/2.50 , 4] (w:1, o:139, a:1, s:1, b:0),
% 2.12/2.50 'c_InductTermi_OIT' [87, 0] (w:1, o:51, a:1, s:1, b:0),
% 2.12/2.50 'c_Transitive__Closure_Ortranclp' [91, 2] (w:1, o:118, a:1, s:1, b:0)
% 2.12/2.50 ,
% 2.12/2.50 'tc_bool' [94, 0] (w:1, o:55, a:1, s:1, b:0),
% 2.12/2.50 'tc_fun' [95, 2] (w:1, o:119, a:1, s:1, b:0),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf' [96, 3] (w:1, o:128, a:1
% 2.12/2.50 , s:1, b:0),
% 2.12/2.50 'c_Transitive__Closure_Otranclp' [98, 2] (w:1, o:120, a:1, s:1, b:0)
% 2.12/2.50 ,
% 2.12/2.50 'class_Lattices_Olattice' [100, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup' [101, 3] (w:1, o:129, a:
% 2.12/2.50 1, s:1, b:0),
% 2.12/2.50 'class_Lattices_Oupper__semilattice' [102, 1] (w:1, o:86, a:1, s:1
% 2.12/2.50 , b:0),
% 2.12/2.50 'class_Lattices_Olower__semilattice' [105, 1] (w:1, o:87, a:1, s:1
% 2.12/2.50 , b:0),
% 2.12/2.50 'class_Lattices_Odistrib__lattice' [107, 1] (w:1, o:88, a:1, s:1, b:0
% 2.12/2.50 ),
% 2.12/2.50 'c_Predicate_Opred__comp' [109, 5] (w:1, o:141, a:1, s:1, b:0),
% 2.12/2.50 'c_Wellfounded_OwfP' [111, 2] (w:1, o:121, a:1, s:1, b:0),
% 2.12/2.50 'c_fequal' [117, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.12/2.50 'c_Wellfounded_Oaccp' [121, 3] (w:1, o:130, a:1, s:1, b:0),
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1' [123, 3] (w:1
% 2.12/2.50 , o:131, a:1, s:1, b:0),
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1' [124, 3]
% 2.12/2.50 (w:1, o:132, a:1, s:1, b:0),
% 2.12/2.50 'c_Predicate_Oconversep' [125, 3] (w:1, o:133, a:1, s:1, b:0),
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1' [126, 3] (w:1
% 2.12/2.50 , o:134, a:1, s:1, b:0),
% 2.12/2.50 'v_sko__Wellfounded__Xaccp__Xinducts__1' [127, 2] (w:1, o:122, a:1
% 2.12/2.50 , s:1, b:0),
% 2.12/2.50 't_a' [128, 0] (w:1, o:67, a:1, s:1, b:0),
% 2.12/2.50 'v_sko__Wellfounded__Xaccp__Xinduct__1' [129, 2] (w:1, o:123, a:1, s:
% 2.12/2.50 1, b:0),
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1' [133, 3] (w:1, o:135
% 2.12/2.50 , a:1, s:1, b:0),
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1' [134, 3
% 2.12/2.50 ] (w:1, o:136, a:1, s:1, b:0),
% 2.12/2.50 'v_e' [135, 0] (w:1, o:68, a:1, s:1, b:0),
% 2.12/2.50 'v_t' [136, 0] (w:1, o:69, a:1, s:1, b:0),
% 2.12/2.50 'v_T' [137, 0] (w:1, o:70, a:1, s:1, b:0).
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Starting Search:
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 6241
% 2.12/2.50 Kept: 2024
% 2.12/2.50 Inuse: 112
% 2.12/2.50 Deleted: 4
% 2.12/2.50 Deletedinuse: 0
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 15890
% 2.12/2.50 Kept: 4038
% 2.12/2.50 Inuse: 195
% 2.12/2.50 Deleted: 6
% 2.12/2.50 Deletedinuse: 0
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 25152
% 2.12/2.50 Kept: 6218
% 2.12/2.50 Inuse: 261
% 2.12/2.50 Deleted: 7
% 2.12/2.50 Deletedinuse: 0
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 32533
% 2.12/2.50 Kept: 8226
% 2.12/2.50 Inuse: 321
% 2.12/2.50 Deleted: 7
% 2.12/2.50 Deletedinuse: 0
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 50573
% 2.12/2.50 Kept: 10446
% 2.12/2.50 Inuse: 339
% 2.12/2.50 Deleted: 9
% 2.12/2.50 Deletedinuse: 1
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 69413
% 2.12/2.50 Kept: 12688
% 2.12/2.50 Inuse: 373
% 2.12/2.50 Deleted: 9
% 2.12/2.50 Deletedinuse: 1
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 85677
% 2.12/2.50 Kept: 14767
% 2.12/2.50 Inuse: 393
% 2.12/2.50 Deleted: 10
% 2.12/2.50 Deletedinuse: 2
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 100360
% 2.12/2.50 Kept: 18063
% 2.12/2.50 Inuse: 415
% 2.12/2.50 Deleted: 10
% 2.12/2.50 Deletedinuse: 2
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 117310
% 2.12/2.50 Kept: 20167
% 2.12/2.50 Inuse: 446
% 2.12/2.50 Deleted: 13
% 2.12/2.50 Deletedinuse: 3
% 2.12/2.50
% 2.12/2.50 Resimplifying clauses:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 129654
% 2.12/2.50 Kept: 22231
% 2.12/2.50 Inuse: 481
% 2.12/2.50 Deleted: 137
% 2.12/2.50 Deletedinuse: 3
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50 Resimplifying inuse:
% 2.12/2.50 Done
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Intermediate Status:
% 2.12/2.50 Generated: 142608
% 2.12/2.50 Kept: 24231
% 2.12/2.50 Inuse: 529
% 2.12/2.50 Deleted: 137
% 2.12/2.50 Deletedinuse: 3
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 Bliksems!, er is een bewijs:
% 2.12/2.50 % SZS status Unsatisfiable
% 2.12/2.50 % SZS output start Refutation
% 2.12/2.50
% 2.12/2.50 clause( 104, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) )
% 2.12/2.50 , =( X, Y ) ] )
% 2.12/2.50 .
% 2.12/2.50 clause( 127, [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB'
% 2.12/2.50 ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 2.12/2.50 .
% 2.12/2.50 clause( 156, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Type_Otyping'(
% 2.12/2.50 Y, X, Z ) ) ] )
% 2.12/2.50 .
% 2.12/2.50 clause( 158, [ 'c_Type_Otyping'( 'v_e', 'v_t', 'v_T' ) ] )
% 2.12/2.50 .
% 2.12/2.50 clause( 159, [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_t',
% 2.12/2.50 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 .
% 2.12/2.50 clause( 511, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ] )
% 2.12/2.50 .
% 2.12/2.50 clause( 561, [ hBOOL( hAPP( X, 'v_t' ) ), ~( =( 'c_Lambda_OdB_OVar'(
% 2.12/2.50 'c_InductTermi_OIT' ), 'c_Lambda_OdB_OVar'( X ) ) ) ] )
% 2.12/2.50 .
% 2.12/2.50 clause( 24318, [] )
% 2.12/2.50 .
% 2.12/2.50
% 2.12/2.50
% 2.12/2.50 % SZS output end Refutation
% 2.12/2.50 found a proof!
% 2.12/2.50
% 2.12/2.50 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.12/2.50
% 2.12/2.50 initialclauses(
% 2.12/2.50 [ clause( 24320, [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z
% 2.12/2.50 , Y ) ) ] )
% 2.12/2.50 , clause( 24321, [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z )
% 2.12/2.50 , Z ) ) ] )
% 2.12/2.50 , clause( 24322, [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'(
% 2.12/2.50 Z, T ) ) ), =( Y, T ) ] )
% 2.12/2.50 , clause( 24323, [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'(
% 2.12/2.50 Z, T ) ) ), =( X, Z ) ] )
% 2.12/2.50 , clause( 24324, [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y
% 2.12/2.50 ), Z ), T ), ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y
% 2.12/2.50 , 'c_Type_Otype_OFun'( U, T ) ) ) ] )
% 2.12/2.50 , clause( 24325, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 2.12/2.50 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24326, [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'(
% 2.12/2.50 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24327, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 2.12/2.50 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24328, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ) ] )
% 2.12/2.50 , clause( 24329, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 2.12/2.50 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 2.12/2.50 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24330, [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z,
% 2.12/2.50 'tc_Type_Otype' ), 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X
% 2.12/2.50 , T, U ) ) ] )
% 2.12/2.50 , clause( 24331, [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'(
% 2.12/2.50 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'(
% 2.12/2.50 X, 'c_Lambda_Osubst'( U, Y, T ), W ) ] )
% 2.12/2.50 , clause( 24332, [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 2.12/2.50 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 2.12/2.50 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24333, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 2.12/2.50 ), Y ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 2.12/2.50 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24334, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'(
% 2.12/2.50 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 2.12/2.50 'c_Lambda_OdB_OApp', X ), Y ), Z ) ] )
% 2.12/2.50 , clause( 24335, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ),
% 2.12/2.50 'c_Type_Otype_OFun'( Z, T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 2.12/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 2.12/2.50 )
% 2.12/2.50 , clause( 24336, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ] )
% 2.12/2.50 , clause( 24337, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z
% 2.12/2.50 ), Y ) ] )
% 2.12/2.50 , clause( 24338, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 2.12/2.50 , clause( 24339, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 2.12/2.50 'tc_Lambda_OdB' ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 2.12/2.50 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 2.12/2.50 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 2.12/2.50 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24340, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 2.12/2.50 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24341, [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'(
% 2.12/2.50 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24342, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 2.12/2.50 Y, Z ) ) ), ~( 'c_Type_Otyping'( T, Y, U ) ), ~( hBOOL( hAPP(
% 2.12/2.50 'c_InductTermi_OIT', Y ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( T, Z
% 2.12/2.50 , U, 'tc_Type_Otype' ), X, W ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 2.12/2.50 ) ) ) ] )
% 2.12/2.50 , clause( 24343, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OVar'( Y ),
% 2.12/2.50 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 2.12/2.50 ) ] )
% 2.12/2.50 , clause( 24344, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 2.12/2.50 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 2.12/2.50 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24345, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.12/2.50 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 2.12/2.50 , clause( 24346, [ =( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 2.12/2.50 , clause( 24347, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OAbs'( X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 2.12/2.50 , clause( 24348, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( U, 'tc_fun'(
% 2.12/2.50 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24349, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( U, 'tc_fun'(
% 2.12/2.50 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24350, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 2.12/2.50 'c_Lambda_OdB_OApp', X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 'c_InductTermi_OIT', X ) ) ) ] )
% 2.12/2.50 , clause( 24351, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ),
% 2.12/2.50 X ) ] )
% 2.12/2.50 , clause( 24352, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 2.12/2.50 , clause( 24353, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 2.12/2.50 , clause( 24354, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 2.12/2.50 , clause( 24355, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 2.12/2.50 , clause( 24356, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 2.12/2.50 , clause( 24357, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 2.12/2.50 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 2.12/2.50 'tc_Lambda_OdB' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 2.12/2.50 ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24358, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X
% 2.12/2.50 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 2.12/2.50 , clause( 24359, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 2.12/2.50 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 2.12/2.50 , clause( 24360, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 2.12/2.50 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 2.12/2.50 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24361, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 2.12/2.50 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 2.12/2.50 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24362, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 2.12/2.50 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 2.12/2.50 , clause( 24363, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 2.12/2.50 , clause( 24364, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 2.12/2.50 , clause( 24365, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24366, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24367, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24368, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24369, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 2.12/2.50 , clause( 24370, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24371, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24372, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ),
% 2.12/2.50 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 2.12/2.50 ), Y ) ) ) ] )
% 2.12/2.50 , clause( 24373, [ hBOOL( hAPP( hAPP( 'c_Predicate_Opred__comp'( X, Y, Z, T
% 2.12/2.50 , U ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( Y, V1 ), V0 ) ) ), ~( hBOOL(
% 2.12/2.50 hAPP( hAPP( X, W ), V1 ) ) ) ] )
% 2.12/2.50 , clause( 24374, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24375, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.12/2.50 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24376, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.12/2.50 , Y ), Z ), Z ) ) ] )
% 2.12/2.50 , clause( 24377, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.12/2.50 , Y ), Z ), Z ) ) ] )
% 2.12/2.50 , clause( 24378, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.12/2.50 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24379, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 2.12/2.50 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 2.12/2.50 , Y ), T ) ) ) ] )
% 2.12/2.50 , clause( 24380, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24381, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24382, [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 2.12/2.50 ), Y ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) )
% 2.12/2.50 , 'c_Lambda_Olift'( Y, Z ) ) ) ] )
% 2.12/2.50 , clause( 24383, [ 'c_Wellfounded_OwfP'( 'c_Transitive__Closure_Otranclp'(
% 2.12/2.50 X, Y ), Y ), ~( 'c_Wellfounded_OwfP'( X, Y ) ) ] )
% 2.12/2.50 , clause( 24384, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.12/2.50 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.12/2.50 X, Y ), Z ), T ) ) ) ] )
% 2.12/2.50 , clause( 24385, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 2.12/2.50 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 2.12/2.50 ), T ) ) ) ] )
% 2.12/2.50 , clause( 24386, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 2.12/2.50 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 2.12/2.50 ), T ) ) ) ] )
% 2.12/2.50 , clause( 24387, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X
% 2.12/2.50 ) ) ) ] )
% 2.12/2.50 , clause( 24388, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 2.12/2.50 ) ) ] )
% 2.12/2.50 , clause( 24389, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.12/2.50 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 2.12/2.50 , clause( 24390, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T,
% 2.12/2.50 Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( U, 'tc_fun'(
% 2.12/2.50 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24391, [ hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.12/2.50 T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP( hAPP( Y, U ), W ) ) ) ]
% 2.12/2.50 )
% 2.12/2.50 , clause( 24392, [ hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.12/2.50 T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP( hAPP( X, U ), W ) ) ) ]
% 2.12/2.50 )
% 2.12/2.50 , clause( 24393, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 2.12/2.50 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 2.12/2.50 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 2.12/2.50 'tc_Lambda_OdB' ) ) ) ) ] )
% 2.12/2.50 , clause( 24394, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y
% 2.12/2.50 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 2.12/2.50 , clause( 24395, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 2.12/2.50 , clause( 24396, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24397, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24398, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24399, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24400, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 2.12/2.50 ) ), =( X, Y ) ] )
% 2.12/2.50 , clause( 24401, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 2.12/2.50 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24402, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 2.12/2.50 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 2.12/2.50 , clause( 24403, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 2.12/2.50 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 2.12/2.50 ) ] )
% 2.12/2.50 , clause( 24404, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 2.12/2.50 , clause( 24405, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 2.12/2.50 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'(
% 2.12/2.50 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ] )
% 2.12/2.50 , clause( 24406, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Olift'( X, Y ) ),
% 2.12/2.50 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 2.12/2.50 ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24407, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 2.12/2.50 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 2.12/2.50 'tc_Lambda_OdB' ), X ) ) ] )
% 2.12/2.50 , clause( 24408, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 2.12/2.50 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 2.12/2.50 , clause( 24409, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 2.12/2.50 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 2.12/2.50 , clause( 24410, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 2.12/2.50 , clause( 24411, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 2.12/2.50 , clause( 24412, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 2.12/2.50 , clause( 24413, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 2.12/2.50 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 2.12/2.50 , clause( 24414, [ =( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_fequal'( Y ),
% 2.12/2.50 'tc_fun'( Y, 'tc_fun'( Y, 'tc_bool' ) ) ), Y ),
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 2.12/2.50 , clause( 24415, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), =( Z, T ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ] )
% 2.12/2.50 , clause( 24416, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), =( Z, T ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ] )
% 2.12/2.50 , clause( 24417, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 2.12/2.50 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 2.12/2.50 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 2.12/2.50 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24418, [ =( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ),
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( Z, Y ), 'tc_fun'( Y, 'tc_fun'( Y,
% 2.12/2.50 'tc_bool' ) ) ), Y ), 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 'tc_fun'(
% 2.12/2.50 Y, 'tc_bool' ) ) ), Y ) ) ] )
% 2.12/2.50 , clause( 24419, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24420, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.12/2.50 , clause( 24421, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 2.12/2.50 , clause( 24422, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 2.12/2.50 , clause( 24423, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 2.12/2.50 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 2.12/2.50 ) ) ) ] )
% 2.12/2.50 , clause( 24424, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.12/2.50 'c_Transitive__Closure_Otranclp'( X, Y ), 'c_fequal'( Y ), 'tc_fun'( Y,
% 2.12/2.50 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Transitive__Closure_Ortranclp'( X, Y ) )
% 2.12/2.50 ] )
% 2.12/2.50 , clause( 24425, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 2.12/2.50 , clause( 24426, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 2.12/2.50 Y ) ] )
% 2.12/2.50 , clause( 24427, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 2.12/2.50 , clause( 24428, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.12/2.50 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.12/2.50 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 2.12/2.50 , clause( 24429, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 2.12/2.50 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24430, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.12/2.50 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24431, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y )
% 2.12/2.50 ) ), =( X, Y ) ] )
% 2.12/2.50 , clause( 24432, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.12/2.50 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 2.12/2.50 , clause( 24433, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y )
% 2.12/2.50 ) ) ] )
% 2.12/2.50 , clause( 24434, [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 2.12/2.50 ), Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z
% 2.12/2.50 , T ) ), 'c_Lambda_Osubst'( Y, Z, T ) ) ) ] )
% 2.12/2.50 , clause( 24435, [ hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.12/2.50 T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP( hAPP( Y, U ), W ) ) ),
% 2.12/2.50 ~( hBOOL( hAPP( hAPP( X, U ), W ) ) ) ] )
% 2.12/2.50 , clause( 24436, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.12/2.50 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( X, Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24437, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.12/2.50 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24438, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24439, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.12/2.50 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.12/2.50 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ] )
% 2.12/2.50 , clause( 24440, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 X, Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 2.12/2.50 , clause( 24441, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 X, Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 2.12/2.50 , clause( 24442, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, Z, T ) ) ) ),
% 2.12/2.50 ~( 'c_Wellfounded_Oaccp'( Z, Y, T ) ) ] )
% 2.12/2.50 , clause( 24443, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL(
% 2.12/2.50 hAPP( hAPP( T, Z ),
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, T, U ) ) ) ),
% 2.12/2.50 ~( 'c_Wellfounded_Oaccp'( T, Y, U ) ) ] )
% 2.12/2.50 , clause( 24444, [ hBOOL( hAPP( hAPP( X,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1'( X, Y, Z ) ), Y
% 2.12/2.50 ) ), 'c_Wellfounded_Oaccp'( X, Y, Z ) ] )
% 2.12/2.50 , clause( 24445, [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lambda_Obeta', T ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 2.12/2.50 , clause( 24446, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~(
% 2.12/2.50 'c_Wellfounded_OwfP'( X, Z ) ) ] )
% 2.12/2.50 , clause( 24447, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X
% 2.12/2.50 , Y, Z ), Z, Y ), X ) ] )
% 2.12/2.50 , clause( 24448, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 2.12/2.50 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ] )
% 2.12/2.50 , clause( 24449, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), hBOOL( hAPP( hAPP( X,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1'( X, Y, Z ) ), Y )
% 2.12/2.50 ) ] )
% 2.12/2.50 , clause( 24450, [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ),
% 2.12/2.50 'c_fequal'( X ) ) ] )
% 2.12/2.50 , clause( 24451, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Transitive__Closure_Otranclp'( X, Y ), Y, Y ), Z ), T ) ), ~( hBOOL(
% 2.12/2.50 hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( 'c_Predicate_Oconversep'( X
% 2.12/2.50 , Y, Y ), Y ), Z ), T ) ) ) ] )
% 2.12/2.50 , clause( 24452, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.12/2.50 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Predicate_Oconversep'( 'c_Transitive__Closure_Otranclp'( X, Y )
% 2.12/2.50 , Y, Y ), Z ), T ) ) ) ] )
% 2.12/2.50 , clause( 24453, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 2.12/2.50 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 2.12/2.50 , clause( 24454, [ ~( 'c_Wellfounded_Oaccp'( X,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1'( X, Y, Z ), Z )
% 2.12/2.50 ), 'c_Wellfounded_Oaccp'( X, Y, Z ) ] )
% 2.12/2.50 , clause( 24455, [ =( 'c_Transitive__Closure_Otranclp'(
% 2.12/2.50 'c_Predicate_Oconversep'( X, Y, Y ), Y ), 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Transitive__Closure_Otranclp'( X, Y ), Y, Y ) ) ] )
% 2.12/2.50 , clause( 24456, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24457, [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB'
% 2.12/2.50 ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 2.12/2.50 , clause( 24458, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( X, T, Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ) ] )
% 2.12/2.50 , clause( 24459, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 2.12/2.50 , clause( 24460, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'(
% 2.12/2.50 X, Y, Z ) ), 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lambda_Obeta', X ), T ) ) ) ] )
% 2.12/2.50 , clause( 24461, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 2.12/2.50 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, Z ) ) ) ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( Z, Y, 't_a' ) ) ] )
% 2.12/2.50 , clause( 24462, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL(
% 2.12/2.50 hAPP( hAPP( T, Z ), 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, T ) ) )
% 2.12/2.50 ), ~( 'c_Wellfounded_Oaccp'( T, Y, 't_a' ) ) ] )
% 2.12/2.50 , clause( 24463, [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 2.12/2.50 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 2.12/2.50 'tc_nat' ) ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) )
% 2.12/2.50 , ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 2.12/2.50 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 2.12/2.50 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 2.12/2.50 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 2.12/2.50 , clause( 24464, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 2.12/2.50 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, Z ) ) ) ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( Z, Y, 't_a' ) ) ] )
% 2.12/2.50 , clause( 24465, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL(
% 2.12/2.50 hAPP( hAPP( T, Z ), 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, T ) ) ) )
% 2.12/2.50 , ~( 'c_Wellfounded_Oaccp'( T, Y, 't_a' ) ) ] )
% 2.12/2.50 , clause( 24466, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ),
% 2.12/2.50 T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 2.12/2.50 , clause( 24467, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 2.12/2.50 , clause( 24468, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ),
% 2.12/2.50 T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 2.12/2.50 , clause( 24469, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 2.12/2.50 , clause( 24470, [ hBOOL( hAPP( X, Y ) ), 'c_Wellfounded_Oaccp'( Z, T,
% 2.12/2.50 't_a' ), ~( hBOOL( hAPP( hAPP( Z, T ),
% 2.12/2.50 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, Z ) ) ) ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( Z, Y, 't_a' ) ) ] )
% 2.12/2.50 , clause( 24471, [ hBOOL( hAPP( X, Y ) ), 'c_Wellfounded_Oaccp'( Z, T,
% 2.12/2.50 't_a' ), ~( hBOOL( hAPP( hAPP( Z, T ),
% 2.12/2.50 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, Z ) ) ) ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( Z, Y, 't_a' ) ) ] )
% 2.12/2.50 , clause( 24472, [ =( 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.12/2.50 T, 'tc_bool' ) ) ), Z, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.12/2.50 'c_Predicate_Oconversep'( X, Z, T ), 'c_Predicate_Oconversep'( Y, Z, T )
% 2.12/2.50 , 'tc_fun'( T, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 2.12/2.50 , clause( 24473, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.12/2.50 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Transitive__Closure_Ortranclp'( 'c_Predicate_Oconversep'( X, Y, Y ), Y
% 2.12/2.50 ), T ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24474, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 2.12/2.50 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24475, [ hBOOL( hAPP( X, Y ) ), 'c_Wellfounded_Oaccp'( Z,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, Z, T ), T ),
% 2.12/2.50 ~( 'c_Wellfounded_Oaccp'( Z, Y, T ) ) ] )
% 2.12/2.50 , clause( 24476, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X,
% 2.12/2.50 Y ) ) ] )
% 2.12/2.50 , clause( 24477, [ =( 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.12/2.50 T, 'tc_bool' ) ) ), Z, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.12/2.50 'c_Predicate_Oconversep'( X, Z, T ), 'c_Predicate_Oconversep'( Y, Z, T )
% 2.12/2.50 , 'tc_fun'( T, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 2.12/2.50 , clause( 24478, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( X,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1'( X, Y, Z ), Z ) )
% 2.12/2.50 ] )
% 2.12/2.50 , clause( 24479, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~(
% 2.12/2.50 'c_Wellfounded_Oaccp'( X, 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1'(
% 2.12/2.50 X, Y, Z ), Z ) ) ] )
% 2.12/2.50 , clause( 24480, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), hBOOL( hAPP( hAPP( X,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1'( X, Y, Z ) ), Y ) ) ] )
% 2.12/2.50 , clause( 24481, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 2.12/2.50 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z
% 2.12/2.50 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24482, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 2.12/2.50 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y
% 2.12/2.50 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24483, [ hBOOL( hAPP( X, Y ) ), 'c_Wellfounded_Oaccp'( Z,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, Z, T ),
% 2.12/2.50 T ), ~( 'c_Wellfounded_Oaccp'( Z, Y, T ) ) ] )
% 2.12/2.50 , clause( 24484, [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T,
% 2.12/2.50 Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), T ), Y ) ) ) ] )
% 2.12/2.50 , clause( 24485, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Olift'( X
% 2.12/2.50 , Y ) ), 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 2.12/2.50 , clause( 24486, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, Z, T ) )
% 2.12/2.50 ) ), ~( 'c_Wellfounded_Oaccp'( Z, Y, T ) ) ] )
% 2.12/2.50 , clause( 24487, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL(
% 2.12/2.50 hAPP( hAPP( T, Z ),
% 2.12/2.50 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, T, U ) )
% 2.12/2.50 ) ), ~( 'c_Wellfounded_Oaccp'( T, Y, U ) ) ] )
% 2.12/2.50 , clause( 24488, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Opred__comp'(
% 2.12/2.50 X, Y, Z, T, U ), Z, U ), 'c_Predicate_Opred__comp'(
% 2.12/2.50 'c_Predicate_Oconversep'( Y, T, U ), 'c_Predicate_Oconversep'( X, Z, T )
% 2.12/2.50 , U, T, Z ) ) ] )
% 2.12/2.50 , clause( 24489, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~(
% 2.12/2.50 'c_Type_Otyping'( Y, X, Z ) ) ] )
% 2.12/2.50 , clause( 24490, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'(
% 2.12/2.50 X ) ), 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.12/2.50 'c_Lambda_Obeta', X ), Y ) ) ) ] )
% 2.12/2.50 , clause( 24491, [ 'c_Type_Otyping'( 'v_e', 'v_t', 'v_T' ) ] )
% 2.12/2.50 , clause( 24492, [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 2.12/2.50 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_t',
% 2.12/2.50 'tc_Lambda_OdB' ) ) ] )
% 2.12/2.50 , clause( 24493, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) )
% 2.12/2.50 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 2.12/2.50 , clause( 24494, [ 'class_Lattices_Olower__Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------