TSTP Solution File: LCL858-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 07:58:51 EDT 2022
% Result : Unsatisfiable 2.47s 2.82s
% Output : Refutation 2.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 : Mon Jul 4 06:26:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.80/1.14 *** allocated 10000 integers for termspace/termends
% 0.80/1.14 *** allocated 10000 integers for clauses
% 0.80/1.14 *** allocated 10000 integers for justifications
% 0.80/1.14 Bliksem 1.12
% 0.80/1.14
% 0.80/1.14
% 0.80/1.14 Automatic Strategy Selection
% 0.80/1.14
% 0.80/1.14 Clauses:
% 0.80/1.14 [
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Olist_OCons'(
% 0.80/1.14 Z, T, Y ) ), 'c_List_Olist_OCons'( Z, U, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_ListOrder_Ostep1'( X, Y ), T ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T ) ), hBOOL(
% 0.80/1.14 hAPP( hAPP( X, U ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X
% 0.80/1.14 , Y ), 'c_List_Olist_OCons'( U, Z, Y ) ), 'c_List_Olist_OCons'( W, T, Y )
% 0.80/1.14 ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.80/1.14 ) ), =( Y, U ) ],
% 0.80/1.14 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.80/1.14 ) ), =( X, T ) ],
% 0.80/1.14 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.80/1.14 ,
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T ) ), =( T, Z )
% 0.80/1.14 , ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 0.80/1.14 'c_List_Olist_OCons'( U, Z, Y ) ), 'c_List_Olist_OCons'( W, T, Y ) ) ) )
% 0.80/1.14 ],
% 0.80/1.14 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_ListOrder_Ostep1'( X, T ), 'c_List_Olist_OCons'( Y, U, T ) ),
% 0.80/1.14 'c_List_Olist_OCons'( Z, U, T ) ) ) ],
% 0.80/1.14 [ =( X, Y ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( U, W
% 0.80/1.14 ), 'c_List_Olist_OCons'( Y, T, W ) ), 'c_List_Olist_OCons'( X, Z, W ) )
% 0.80/1.14 ) ) ],
% 0.80/1.14 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.80/1.14 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.80/1.14 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.80/1.14 ,
% 0.80/1.14 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.80/1.14 ,
% 0.80/1.14 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_ListOrder_Ostep1'( Z, T ), 'c_List_Olist_OCons'( Y, U, T ) ),
% 0.80/1.14 'c_List_Olist_OCons'( X, W, T ) ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.80/1.14 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.80/1.14 'tc_List_Olist'( Y ) ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), ~( hBOOL(
% 0.80/1.14 hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.80/1.14 'tc_List_Olist'( Y ) ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X
% 0.80/1.14 , Y ), Z ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.80/1.14 =( Y, T ) ],
% 0.80/1.14 [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'( Z, T ) ) ),
% 0.80/1.14 =( X, Z ) ],
% 0.80/1.14 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.80/1.14 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 0.80/1.14 'c_Type_Otype_OFun'( U, T ) ) ) ],
% 0.80/1.14 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.80/1.14 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), 'c_Lambda_Olift'( X, Y ) ), 'c_Lambda_Olift'( Z, Y )
% 0.80/1.14 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.80/1.14 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.80/1.14 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X,
% 0.80/1.14 'c_Lambda_Osubst'( U, Y, T ), W ) ],
% 0.80/1.14 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.80/1.14 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.80/1.14 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta',
% 0.80/1.14 'tc_Lambda_OdB' ), X ),
% 0.80/1.14 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ) ) ),
% 0.80/1.14 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.80/1.14 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( T
% 0.80/1.14 , Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.80/1.14 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.80/1.14 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.80/1.14 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.80/1.14 ) ) ],
% 0.80/1.14 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.80/1.14 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.80/1.14 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.80/1.14 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.80/1.14 ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.80/1.14 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.80/1.14 ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.80/1.14 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.80/1.14 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.80/1.14 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), 'c_Type_Otype_OFun'( Z
% 0.80/1.14 , T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 0.80/1.14 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 0.80/1.14 ,
% 0.80/1.14 [ 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'( X, Y ), Z, Y ), ~( hBOOL(
% 0.80/1.14 hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.80/1.14 'tc_List_Olist'( Y ) ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 0.80/1.14 'tc_List_Olist'( Y ) ), Z ) ), ~( 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'(
% 0.80/1.14 X, Y ), Z, Y ) ) ],
% 0.80/1.14 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.80/1.14 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.80/1.14 [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ),
% 0.80/1.14 'c_List_Olist_ONil'( Y ) ) ) ) ],
% 0.80/1.14 [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 0.80/1.14 'c_List_Olist_ONil'( Y ) ), Z ) ) ) ],
% 0.80/1.14 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.80/1.14 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.80/1.14 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.80/1.14 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.80/1.14 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.80/1.14 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.80/1.14 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.80/1.14 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.80/1.14 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.80/1.14 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.80/1.14 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.80/1.14 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.80/1.14 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.80/1.14 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.80/1.14 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.80/1.14 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.80/1.14 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.80/1.14 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.80/1.14 'tc_Lambda_OdB' ) ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.80/1.14 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.80/1.14 'tc_Lambda_OdB' ) ) ],
% 0.80/1.14 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.80/1.14 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X, Y, Z ) ) ),
% 0.80/1.14 ~( 'c_Type_Otyping'( T, Y, U ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Y
% 0.80/1.14 ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( T, Z, U, 'tc_Type_Otype' )
% 0.80/1.14 , X, W ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.80/1.14 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.80/1.14 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.80/1.14 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.80/1.14 ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.80/1.14 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.80/1.14 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.80/1.14 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.80/1.14 Z ) ) ) ],
% 0.80/1.14 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Type_Otyping'( Y, X, Z
% 0.80/1.14 ) ) ],
% 0.80/1.14 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.80/1.14 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( U, 'tc_fun'(
% 0.80/1.14 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( U, 'tc_fun'(
% 0.80/1.14 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.80/1.14 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.80/1.14 ) ) ) ],
% 0.80/1.14 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.80/1.14 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.80/1.14 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.80/1.14 , Y ) ],
% 0.80/1.14 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Predicate_Opred__comp'( X, Y, Z, T, U ), W ), V0
% 0.80/1.14 ) ), ~( hBOOL( hAPP( hAPP( Y, V1 ), V0 ) ) ), ~( hBOOL( hAPP( hAPP( X, W
% 0.80/1.14 ), V1 ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.80/1.14 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y )
% 0.80/1.14 , Z ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), U ),
% 0.80/1.14 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y )
% 0.80/1.14 , Z ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.80/1.14 ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.80/1.14 ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.80/1.14 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.80/1.14 ), Z ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.80/1.14 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.80/1.14 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 0.80/1.14 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 0.80/1.14 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 0.80/1.14 [ 'c_Wellfounded_OwfP'( 'c_Transitive__Closure_Otranclp'( X, Y ), Y ),
% 0.80/1.14 ~( 'c_Wellfounded_OwfP'( X, Y ) ) ],
% 0.80/1.14 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.80/1.14 , Z ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ),
% 0.80/1.14 T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Y ), Z ) ),
% 0.80/1.14 ~( hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X
% 0.80/1.14 , 'tc_fun'( U, 'tc_fun'( W, 'tc_bool' ) ) ), Y ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.80/1.14 , 'tc_fun'( Z, 'tc_fun'( T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( Y, U ), W ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.80/1.14 , 'tc_fun'( Z, 'tc_fun'( T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( X, U ), W ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.80/1.14 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.80/1.14 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.80/1.14 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y ) ) ), ~(
% 0.80/1.14 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.80/1.14 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.80/1.14 ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.80/1.14 Z ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.80/1.14 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.80/1.14 , Y ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.80/1.14 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.80/1.14 ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.80/1.14 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'( X, Y,
% 0.80/1.14 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.80/1.14 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ), X ) ) ],
% 0.80/1.14 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.80/1.14 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.80/1.14 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.80/1.14 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.80/1.14 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.80/1.14 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.80/1.14 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.80/1.14 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.80/1.14 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.80/1.14 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.80/1.14 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_fequal'( Y ),
% 0.80/1.14 'tc_fun'( Y, 'tc_fun'( Y, 'tc_bool' ) ) ), Y ),
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 0.80/1.14 , Y ), Z ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), =( Z, T ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 0.80/1.14 , Y ), Z ), T ) ) ) ],
% 0.80/1.14 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( X, Y ),
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( Z, Y ), 'tc_fun'( Y, 'tc_fun'( Y,
% 0.80/1.14 'tc_bool' ) ) ), Y ), 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 'tc_fun'(
% 0.80/1.14 Y, 'tc_bool' ) ) ), Y ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.80/1.14 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 0.80/1.14 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.80/1.14 ) ) ) ],
% 0.80/1.14 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.14 'c_Transitive__Closure_Otranclp'( X, Y ), 'c_fequal'( Y ), 'tc_fun'( Y,
% 0.80/1.14 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Transitive__Closure_Ortranclp'( X, Y ) )
% 0.80/1.14 ],
% 0.80/1.14 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.80/1.14 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.80/1.14 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.80/1.14 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.80/1.14 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.80/1.14 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.80/1.14 Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), U ),
% 0.80/1.14 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ),
% 0.80/1.14 Z ), U ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.80/1.14 ) ],
% 0.80/1.14 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.80/1.14 Z ) ) ) ],
% 0.80/1.14 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.80/1.14 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.80/1.14 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.80/1.14 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.80/1.14 , 'tc_fun'( Z, 'tc_fun'( T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( Y, U ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), W ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.80/1.14 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), U ),
% 0.80/1.14 T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T )
% 0.80/1.14 ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T )
% 0.80/1.14 ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.80/1.14 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, Z, T ) ) ) ),
% 0.80/1.14 ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( T
% 0.80/1.14 , Z ), 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, T, U )
% 0.80/1.14 ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( T, U ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( X,
% 0.80/1.14 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1'( X, Y, Z ) ), Y
% 0.80/1.14 ) ), hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Z ), Y ) ) ],
% 0.80/1.14 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.80/1.14 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 0.80/1.14 'c_Wellfounded_OwfP'( X, Y ) ) ],
% 0.80/1.14 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.80/1.14 ), X ) ],
% 0.80/1.14 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.80/1.14 ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.80/1.14 X, 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1'( X, Z, Y ) ),
% 0.80/1.14 Z ) ) ],
% 0.80/1.14 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.80/1.14 ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'(
% 0.80/1.14 'c_Transitive__Closure_Otranclp'( X, Y ), Y, Y ), Z ), T ) ), ~( hBOOL(
% 0.80/1.14 hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( 'c_Predicate_Oconversep'( X
% 0.80/1.14 , Y, Y ), Y ), Z ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 0.80/1.14 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( 'c_Predicate_Oconversep'( 'c_Transitive__Closure_Otranclp'( X, Y )
% 0.80/1.14 , Y, Y ), Z ), T ) ) ) ],
% 0.80/1.14 [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ),
% 0.80/1.14 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1'( X, Z, Y ) ) )
% 0.80/1.14 ), hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ) ],
% 0.80/1.14 [ =( 'c_Transitive__Closure_Otranclp'( 'c_Predicate_Oconversep'( X, Y, Y
% 0.80/1.14 ), Y ), 'c_Predicate_Oconversep'( 'c_Transitive__Closure_Otranclp'( X, Y
% 0.80/1.14 ), Y, Y ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.80/1.14 X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ), ~( hBOOL(
% 0.80/1.14 hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.80/1.14 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.80/1.14 , X ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.80/1.14 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( Z, 't_a' ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( T
% 0.80/1.14 , Z ), 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, T ) ) ) ), ~( hBOOL(
% 0.80/1.14 hAPP( 'c_Wellfounded_Oaccp'( T, 't_a' ), Y ) ) ) ],
% 0.80/1.14 [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.80/1.14 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.80/1.14 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 0.80/1.14 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.80/1.14 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Y ) ) ), hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.80/1.14 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.80/1.14 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.80/1.14 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.80/1.14 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( Z, 't_a' ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( T
% 0.80/1.14 , Z ), 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, T ) ) ) ), ~( hBOOL(
% 0.80/1.14 hAPP( 'c_Wellfounded_Oaccp'( T, 't_a' ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.80/1.14 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.80/1.14 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.80/1.14 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, 't_a' )
% 0.80/1.14 , T ) ), ~( hBOOL( hAPP( hAPP( Z, T ),
% 0.80/1.14 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( Z, 't_a' ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, 't_a' )
% 0.80/1.14 , T ) ), ~( hBOOL( hAPP( hAPP( Z, T ),
% 0.80/1.14 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( Z, 't_a' ), Y ) ) ) ],
% 0.80/1.14 [ =( 'c_Predicate_Oconversep'(
% 0.80/1.14 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 0.80/1.14 T, 'tc_bool' ) ) ), Z, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.14 'c_Predicate_Oconversep'( X, Z, T ), 'c_Predicate_Oconversep'( Y, Z, T )
% 0.80/1.14 , 'tc_fun'( T, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.80/1.14 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.80/1.14 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ),
% 0.80/1.14 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, Z, T ) ) ),
% 0.80/1.14 ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ), Y ) ) ) ],
% 0.80/1.14 [ =( 'c_Predicate_Oconversep'(
% 0.80/1.14 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 0.80/1.14 T, 'tc_bool' ) ) ), Z, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.14 'c_Predicate_Oconversep'( X, Z, T ), 'c_Predicate_Oconversep'( Y, Z, T )
% 0.80/1.14 , 'tc_fun'( T, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( X, Y ),
% 0.80/1.14 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1'( X, Z, Y ) ) ) )
% 0.80/1.14 ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~( hBOOL( hAPP(
% 0.80/1.14 'c_Wellfounded_Oaccp'( X, Y ),
% 0.80/1.14 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1'( X, Z, Y ) ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.80/1.14 X, 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1'( X, Z, Y ) ), Z ) ) ]
% 0.80/1.14 ,
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.80/1.14 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.80/1.14 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.80/1.14 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ),
% 0.80/1.14 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, Z, T ) )
% 0.80/1.14 ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Olift'( X, Y ) ),
% 0.80/1.14 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.80/1.14 , Z ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.80/1.14 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, Z, T ) )
% 0.80/1.14 ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ), Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( T
% 0.80/1.14 , Z ), 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, T
% 0.80/1.14 , U ) ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( T, U ), Y ) ) ) ]
% 0.80/1.14 ,
% 0.80/1.14 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Opred__comp'( X, Y, Z, T, U
% 0.80/1.14 ), Z, U ), 'c_Predicate_Opred__comp'( 'c_Predicate_Oconversep'( Y, T, U
% 0.80/1.14 ), 'c_Predicate_Oconversep'( X, Z, T ), U, T, Z ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.80/1.14 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.80/1.14 , Y ) ) ) ],
% 0.80/1.14 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ],
% 0.80/1.14 [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 0.80/1.14 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.80/1.14 'v_t' ) ) ) ],
% 0.80/1.14 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.80/1.14 'class_Lattices_Olattice'( Y ) ) ],
% 0.80/1.14 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.80/1.14 'class_Lattices_Olattice'( Y ) ) ],
% 0.80/1.14 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.80/1.14 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 2.47/2.82 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 2.47/2.82 'class_Lattices_Olattice'( Y ) ) ],
% 2.47/2.82 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 2.47/2.82 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 2.47/2.82 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 2.47/2.82 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 2.47/2.82 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 2.47/2.82 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 2.47/2.82 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 2.47/2.82 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 2.47/2.82 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 2.47/2.82 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 2.47/2.82 ] .
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 percentage equality = 0.275510, percentage horn = 0.908163
% 2.47/2.82 This is a problem with some equality
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Options Used:
% 2.47/2.82
% 2.47/2.82 useres = 1
% 2.47/2.82 useparamod = 1
% 2.47/2.82 useeqrefl = 1
% 2.47/2.82 useeqfact = 1
% 2.47/2.82 usefactor = 1
% 2.47/2.82 usesimpsplitting = 0
% 2.47/2.82 usesimpdemod = 5
% 2.47/2.82 usesimpres = 3
% 2.47/2.82
% 2.47/2.82 resimpinuse = 1000
% 2.47/2.82 resimpclauses = 20000
% 2.47/2.82 substype = eqrewr
% 2.47/2.82 backwardsubs = 1
% 2.47/2.82 selectoldest = 5
% 2.47/2.82
% 2.47/2.82 litorderings [0] = split
% 2.47/2.82 litorderings [1] = extend the termordering, first sorting on arguments
% 2.47/2.82
% 2.47/2.82 termordering = kbo
% 2.47/2.82
% 2.47/2.82 litapriori = 0
% 2.47/2.82 termapriori = 1
% 2.47/2.82 litaposteriori = 0
% 2.47/2.82 termaposteriori = 0
% 2.47/2.82 demodaposteriori = 0
% 2.47/2.82 ordereqreflfact = 0
% 2.47/2.82
% 2.47/2.82 litselect = negord
% 2.47/2.82
% 2.47/2.82 maxweight = 15
% 2.47/2.82 maxdepth = 30000
% 2.47/2.82 maxlength = 115
% 2.47/2.82 maxnrvars = 195
% 2.47/2.82 excuselevel = 1
% 2.47/2.82 increasemaxweight = 1
% 2.47/2.82
% 2.47/2.82 maxselected = 10000000
% 2.47/2.82 maxnrclauses = 10000000
% 2.47/2.82
% 2.47/2.82 showgenerated = 0
% 2.47/2.82 showkept = 0
% 2.47/2.82 showselected = 0
% 2.47/2.82 showdeleted = 0
% 2.47/2.82 showresimp = 1
% 2.47/2.82 showstatus = 2000
% 2.47/2.82
% 2.47/2.82 prologoutput = 1
% 2.47/2.82 nrgoals = 5000000
% 2.47/2.82 totalproof = 1
% 2.47/2.82
% 2.47/2.82 Symbols occurring in the translation:
% 2.47/2.82
% 2.47/2.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.47/2.82 . [1, 2] (w:1, o:94, a:1, s:1, b:0),
% 2.47/2.82 ! [4, 1] (w:0, o:78, a:1, s:1, b:0),
% 2.47/2.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.47/2.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.47/2.82 'c_ListOrder_Ostep1' [41, 2] (w:1, o:119, a:1, s:1, b:0),
% 2.47/2.82 'c_List_Olist_OCons' [44, 3] (w:1, o:130, a:1, s:1, b:0),
% 2.47/2.82 hAPP [45, 2] (w:1, o:120, a:1, s:1, b:0),
% 2.47/2.82 hBOOL [47, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.47/2.82 'c_List_Olist_ONil' [53, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.47/2.82 'c_List_Ofoldl' [57, 5] (w:1, o:145, a:1, s:1, b:0),
% 2.47/2.82 'tc_List_Olist' [59, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.47/2.82 'c_Wellfounded_Oaccp' [60, 2] (w:1, o:121, a:1, s:1, b:0),
% 2.47/2.82 'c_Type_Otype_OFun' [63, 2] (w:1, o:122, a:1, s:1, b:0),
% 2.47/2.82 'c_Lambda_OdB_OApp' [67, 0] (w:1, o:43, a:1, s:1, b:0),
% 2.47/2.82 'c_Type_Otyping' [70, 3] (w:1, o:131, a:1, s:1, b:0),
% 2.47/2.82 'tc_Type_Otype' [74, 0] (w:1, o:48, a:1, s:1, b:0),
% 2.47/2.82 'c_Type_Oshift' [75, 4] (w:1, o:143, a:1, s:1, b:0),
% 2.47/2.82 'c_Lambda_Olift' [76, 2] (w:1, o:123, a:1, s:1, b:0),
% 2.47/2.82 'c_Lambda_Obeta' [77, 0] (w:1, o:49, a:1, s:1, b:0),
% 2.47/2.82 'tc_Lambda_OdB' [78, 0] (w:1, o:50, a:1, s:1, b:0),
% 2.47/2.82 'c_Transitive__Closure_Ortranclp' [79, 2] (w:1, o:124, a:1, s:1, b:0)
% 2.47/2.82 ,
% 2.47/2.82 'c_Lambda_Osubst' [82, 3] (w:1, o:132, a:1, s:1, b:0),
% 2.47/2.82 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [87, 3] (w:1
% 2.47/2.82 , o:133, a:1, s:1, b:0),
% 2.47/2.82 'c_Lambda_OdB_OVar' [88, 1] (w:1, o:86, a:1, s:1, b:0),
% 2.47/2.82 'c_Lambda_OdB_OAbs' [89, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.47/2.82 'tc_nat' [91, 0] (w:1, o:57, a:1, s:1, b:0),
% 2.47/2.82 'c_HOL_Ozero__class_Ozero' [92, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.47/2.82 'c_List_Olistsp' [93, 3] (w:1, o:134, a:1, s:1, b:0),
% 2.47/2.82 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [96
% 2.47/2.82 , 4] (w:1, o:144, a:1, s:1, b:0),
% 2.47/2.82 'c_InductTermi_OIT' [99, 0] (w:1, o:59, a:1, s:1, b:0),
% 2.47/2.82 'tc_bool' [104, 0] (w:1, o:62, a:1, s:1, b:0),
% 2.47/2.82 'tc_fun' [105, 2] (w:1, o:125, a:1, s:1, b:0),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf' [106, 3] (w:1, o:135, a:
% 2.47/2.82 1, s:1, b:0),
% 2.47/2.82 'c_Transitive__Closure_Otranclp' [108, 2] (w:1, o:126, a:1, s:1, b:0)
% 2.47/2.82 ,
% 2.47/2.82 'class_Lattices_Olattice' [110, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup' [111, 3] (w:1, o:136, a:
% 2.47/2.82 1, s:1, b:0),
% 2.47/2.82 'class_Lattices_Oupper__semilattice' [112, 1] (w:1, o:90, a:1, s:1
% 2.47/2.82 , b:0),
% 2.47/2.82 'class_Lattices_Olower__semilattice' [113, 1] (w:1, o:91, a:1, s:1
% 2.47/2.82 , b:0),
% 2.47/2.82 'class_Lattices_Odistrib__lattice' [115, 1] (w:1, o:92, a:1, s:1, b:0
% 2.47/2.82 ),
% 2.47/2.82 'c_Predicate_Opred__comp' [117, 5] (w:1, o:146, a:1, s:1, b:0),
% 2.47/2.82 'c_Wellfounded_OwfP' [119, 2] (w:1, o:127, a:1, s:1, b:0),
% 2.47/2.82 'c_fequal' [125, 1] (w:1, o:93, a:1, s:1, b:0),
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1' [130, 3] (w:1
% 2.47/2.82 , o:137, a:1, s:1, b:0),
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1' [131, 3]
% 2.47/2.82 (w:1, o:138, a:1, s:1, b:0),
% 2.47/2.82 'c_Predicate_Oconversep' [132, 3] (w:1, o:139, a:1, s:1, b:0),
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1' [133, 3] (w:1
% 2.47/2.82 , o:140, a:1, s:1, b:0),
% 2.47/2.82 'v_sko__Wellfounded__Xaccp__Xinducts__1' [134, 2] (w:1, o:128, a:1
% 2.47/2.82 , s:1, b:0),
% 2.47/2.82 't_a' [135, 0] (w:1, o:72, a:1, s:1, b:0),
% 2.47/2.82 'v_sko__Wellfounded__Xaccp__Xinduct__1' [136, 2] (w:1, o:129, a:1, s:
% 2.47/2.82 1, b:0),
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1' [140, 3] (w:1, o:141
% 2.47/2.82 , a:1, s:1, b:0),
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1' [141, 3
% 2.47/2.82 ] (w:1, o:142, a:1, s:1, b:0),
% 2.47/2.82 'v_t' [142, 0] (w:1, o:73, a:1, s:1, b:0).
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Starting Search:
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 8088
% 2.47/2.82 Kept: 2133
% 2.47/2.82 Inuse: 66
% 2.47/2.82 Deleted: 0
% 2.47/2.82 Deletedinuse: 0
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 15439
% 2.47/2.82 Kept: 4214
% 2.47/2.82 Inuse: 129
% 2.47/2.82 Deleted: 2
% 2.47/2.82 Deletedinuse: 0
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 24863
% 2.47/2.82 Kept: 6315
% 2.47/2.82 Inuse: 184
% 2.47/2.82 Deleted: 2
% 2.47/2.82 Deletedinuse: 0
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 34152
% 2.47/2.82 Kept: 8319
% 2.47/2.82 Inuse: 225
% 2.47/2.82 Deleted: 3
% 2.47/2.82 Deletedinuse: 0
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 43518
% 2.47/2.82 Kept: 10372
% 2.47/2.82 Inuse: 256
% 2.47/2.82 Deleted: 5
% 2.47/2.82 Deletedinuse: 0
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 57317
% 2.47/2.82 Kept: 12436
% 2.47/2.82 Inuse: 312
% 2.47/2.82 Deleted: 6
% 2.47/2.82 Deletedinuse: 0
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 71478
% 2.47/2.82 Kept: 14466
% 2.47/2.82 Inuse: 328
% 2.47/2.82 Deleted: 7
% 2.47/2.82 Deletedinuse: 1
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 82983
% 2.47/2.82 Kept: 16736
% 2.47/2.82 Inuse: 365
% 2.47/2.82 Deleted: 7
% 2.47/2.82 Deletedinuse: 1
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 92525
% 2.47/2.82 Kept: 18978
% 2.47/2.82 Inuse: 391
% 2.47/2.82 Deleted: 8
% 2.47/2.82 Deletedinuse: 1
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying clauses:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 105394
% 2.47/2.82 Kept: 21078
% 2.47/2.82 Inuse: 414
% 2.47/2.82 Deleted: 118
% 2.47/2.82 Deletedinuse: 1
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 124859
% 2.47/2.82 Kept: 23424
% 2.47/2.82 Inuse: 434
% 2.47/2.82 Deleted: 118
% 2.47/2.82 Deletedinuse: 1
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 144192
% 2.47/2.82 Kept: 26486
% 2.47/2.82 Inuse: 449
% 2.47/2.82 Deleted: 118
% 2.47/2.82 Deletedinuse: 1
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 161928
% 2.47/2.82 Kept: 28490
% 2.47/2.82 Inuse: 484
% 2.47/2.82 Deleted: 121
% 2.47/2.82 Deletedinuse: 2
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 176176
% 2.47/2.82 Kept: 30500
% 2.47/2.82 Inuse: 504
% 2.47/2.82 Deleted: 121
% 2.47/2.82 Deletedinuse: 2
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 188641
% 2.47/2.82 Kept: 32648
% 2.47/2.82 Inuse: 532
% 2.47/2.82 Deleted: 121
% 2.47/2.82 Deletedinuse: 2
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82 Resimplifying inuse:
% 2.47/2.82 Done
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Intermediate Status:
% 2.47/2.82 Generated: 204204
% 2.47/2.82 Kept: 34662
% 2.47/2.82 Inuse: 570
% 2.47/2.82 Deleted: 122
% 2.47/2.82 Deletedinuse: 3
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 Bliksems!, er is een bewijs:
% 2.47/2.82 % SZS status Unsatisfiable
% 2.47/2.82 % SZS output start Refutation
% 2.47/2.82
% 2.47/2.82 clause( 143, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 2.47/2.82 X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 2.47/2.82 .
% 2.47/2.82 clause( 171, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ] )
% 2.47/2.82 .
% 2.47/2.82 clause( 172, [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.82 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'v_t' ) ) ) ] )
% 2.47/2.82 .
% 2.47/2.82 clause( 34755, [] )
% 2.47/2.82 .
% 2.47/2.82
% 2.47/2.82
% 2.47/2.82 % SZS output end Refutation
% 2.47/2.82 found a proof!
% 2.47/2.82
% 2.47/2.82 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.47/2.82
% 2.47/2.82 initialclauses(
% 2.47/2.82 [ clause( 34757, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 2.47/2.82 'c_List_Olist_OCons'( Z, T, Y ) ), 'c_List_Olist_OCons'( Z, U, Y ) ) ),
% 2.47/2.82 ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), T ), U ) ) ) ] )
% 2.47/2.82 , clause( 34758, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T
% 2.47/2.82 ) ), hBOOL( hAPP( hAPP( X, U ), W ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_ListOrder_Ostep1'( X, Y ), 'c_List_Olist_OCons'( U, Z, Y ) ),
% 2.47/2.82 'c_List_Olist_OCons'( W, T, Y ) ) ) ) ] )
% 2.47/2.82 , clause( 34759, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 2.47/2.82 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 2.47/2.82 , clause( 34760, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 2.47/2.82 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 2.47/2.82 , clause( 34761, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 2.47/2.82 , Z, X ) ) ) ] )
% 2.47/2.82 , clause( 34762, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z ), T
% 2.47/2.82 ) ), =( T, Z ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 2.47/2.82 'c_List_Olist_OCons'( U, Z, Y ) ), 'c_List_Olist_OCons'( W, T, Y ) ) ) )
% 2.47/2.82 ] )
% 2.47/2.82 , clause( 34763, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_ListOrder_Ostep1'( X, T ), 'c_List_Olist_OCons'( Y, U, T ) ),
% 2.47/2.82 'c_List_Olist_OCons'( Z, U, T ) ) ) ] )
% 2.47/2.82 , clause( 34764, [ =( X, Y ), =( Z, T ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_ListOrder_Ostep1'( U, W ), 'c_List_Olist_OCons'( Y, T, W ) ),
% 2.47/2.82 'c_List_Olist_OCons'( X, Z, W ) ) ) ) ] )
% 2.47/2.82 , clause( 34765, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U
% 2.47/2.82 ), W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 2.47/2.82 , clause( 34766, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 2.47/2.82 'c_List_Olist_ONil'( Z ) ) ) ] )
% 2.47/2.82 , clause( 34767, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 2.47/2.82 'c_List_Olist_ONil'( Z ) ) ) ] )
% 2.47/2.82 , clause( 34768, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( hBOOL(
% 2.47/2.82 hAPP( hAPP( 'c_ListOrder_Ostep1'( Z, T ), 'c_List_Olist_OCons'( Y, U, T )
% 2.47/2.82 ), 'c_List_Olist_OCons'( X, W, T ) ) ) ) ] )
% 2.47/2.82 , clause( 34769, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 2.47/2.82 , clause( 34770, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 2.47/2.82 , clause( 34771, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'(
% 2.47/2.82 X, Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), ~(
% 2.47/2.82 hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 2.47/2.82 'tc_List_Olist'( Y ) ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X
% 2.47/2.82 , Y ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34772, [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'(
% 2.47/2.82 Z, T ) ) ), =( Y, T ) ] )
% 2.47/2.82 , clause( 34773, [ ~( =( 'c_Type_Otype_OFun'( X, Y ), 'c_Type_Otype_OFun'(
% 2.47/2.82 Z, T ) ) ), =( X, Z ) ] )
% 2.47/2.82 , clause( 34774, [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y
% 2.47/2.82 ), Z ), T ), ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y
% 2.47/2.82 , 'c_Type_Otype_OFun'( U, T ) ) ) ] )
% 2.47/2.82 , clause( 34775, [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z,
% 2.47/2.82 'tc_Type_Otype' ), 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X
% 2.47/2.82 , T, U ) ) ] )
% 2.47/2.82 , clause( 34776, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Olift'( X, Y ) ),
% 2.47/2.82 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 2.47/2.82 ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34777, [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'(
% 2.47/2.82 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'(
% 2.47/2.82 X, 'c_Lambda_Osubst'( U, Y, T ), W ) ] )
% 2.47/2.82 , clause( 34778, [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T,
% 2.47/2.82 Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), T ), Y ) ) ) ] )
% 2.47/2.82 , clause( 34779, [ hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ),
% 2.47/2.82 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ) ) ),
% 2.47/2.82 ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X, 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34780, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 2.47/2.82 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 2.47/2.82 ), T ) ) ) ] )
% 2.47/2.82 , clause( 34781, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 2.47/2.82 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 2.47/2.82 ), T ) ) ) ] )
% 2.47/2.82 , clause( 34782, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 2.47/2.82 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 2.47/2.82 , Y ), T ) ) ) ] )
% 2.47/2.82 , clause( 34783, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 2.47/2.82 ), Y ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ) ) ] )
% 2.47/2.82 , clause( 34784, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'(
% 2.47/2.82 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 2.47/2.82 'c_Lambda_OdB_OApp', X ), Y ), Z ) ] )
% 2.47/2.82 , clause( 34785, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ),
% 2.47/2.82 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 2.47/2.82 ), Y ) ) ) ] )
% 2.47/2.82 , clause( 34786, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 2.47/2.82 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 2.47/2.82 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34787, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 2.47/2.82 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 2.47/2.82 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34788, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 2.47/2.82 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 2.47/2.82 'tc_Lambda_OdB' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 2.47/2.82 ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34789, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ),
% 2.47/2.82 'c_Type_Otype_OFun'( Z, T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X,
% 2.47/2.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) ) ]
% 2.47/2.82 )
% 2.47/2.82 , clause( 34790, [ 'c_List_Olistsp'( 'c_Wellfounded_Oaccp'( X, Y ), Z, Y )
% 2.47/2.82 , ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'( X, Y ),
% 2.47/2.82 'tc_List_Olist'( Y ) ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34791, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_ListOrder_Ostep1'(
% 2.47/2.82 X, Y ), 'tc_List_Olist'( Y ) ), Z ) ), ~( 'c_List_Olistsp'(
% 2.47/2.82 'c_Wellfounded_Oaccp'( X, Y ), Z, Y ) ) ] )
% 2.47/2.82 , clause( 34792, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ] )
% 2.47/2.82 , clause( 34793, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z
% 2.47/2.82 ), Y ) ] )
% 2.47/2.82 , clause( 34794, [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ), Z )
% 2.47/2.82 , 'c_List_Olist_ONil'( Y ) ) ) ) ] )
% 2.47/2.82 , clause( 34795, [ ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'( X, Y ),
% 2.47/2.82 'c_List_Olist_ONil'( Y ) ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34796, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 2.47/2.82 , clause( 34797, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 2.47/2.82 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 2.47/2.82 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 2.47/2.82 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 2.47/2.82 , clause( 34798, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_ListOrder_Ostep1'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34799, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 2.47/2.82 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 2.47/2.82 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 2.47/2.82 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34800, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ) ] )
% 2.47/2.82 , clause( 34801, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 2.47/2.82 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 2.47/2.82 , clause( 34802, [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'(
% 2.47/2.82 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 2.47/2.82 , clause( 34803, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 2.47/2.82 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 2.47/2.82 , clause( 34804, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 2.47/2.82 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 2.47/2.82 , clause( 34805, [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'(
% 2.47/2.82 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 2.47/2.82 , clause( 34806, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 2.47/2.82 Y, Z ) ) ), ~( 'c_Type_Otyping'( T, Y, U ) ), ~( hBOOL( hAPP(
% 2.47/2.82 'c_InductTermi_OIT', Y ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( T, Z
% 2.47/2.82 , U, 'tc_Type_Otype' ), X, W ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 2.47/2.82 ) ) ) ] )
% 2.47/2.82 , clause( 34807, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OVar'( Y ),
% 2.47/2.82 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 2.47/2.82 ) ] )
% 2.47/2.82 , clause( 34808, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 2.47/2.82 'tc_Lambda_OdB' ) ) ] )
% 2.47/2.82 , clause( 34809, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.47/2.82 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 2.47/2.82 , clause( 34810, [ =( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 2.47/2.82 , clause( 34811, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~(
% 2.47/2.82 'c_Type_Otyping'( Y, X, Z ) ) ] )
% 2.47/2.82 , clause( 34812, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OAbs'( X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 2.47/2.82 , clause( 34813, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( U, 'tc_fun'(
% 2.47/2.82 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34814, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( U, 'tc_fun'(
% 2.47/2.82 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34815, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 2.47/2.82 'c_Lambda_OdB_OApp', X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 'c_InductTermi_OIT', X ) ) ) ] )
% 2.47/2.82 , clause( 34816, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ),
% 2.47/2.82 X ) ] )
% 2.47/2.82 , clause( 34817, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 2.47/2.82 , clause( 34818, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 2.47/2.82 , clause( 34819, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 2.47/2.82 , clause( 34820, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 2.47/2.82 , clause( 34821, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 2.47/2.82 , clause( 34822, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X
% 2.47/2.82 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 2.47/2.82 , clause( 34823, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 2.47/2.82 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 2.47/2.82 , clause( 34824, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 2.47/2.82 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 2.47/2.82 , clause( 34825, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X,
% 2.47/2.82 Y ) ) ] )
% 2.47/2.82 , clause( 34826, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 2.47/2.82 , clause( 34827, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 2.47/2.82 , clause( 34828, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34829, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34830, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34831, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34832, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 2.47/2.82 , clause( 34833, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34834, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34835, [ hBOOL( hAPP( hAPP( 'c_Predicate_Opred__comp'( X, Y, Z, T
% 2.47/2.82 , U ), W ), V0 ) ), ~( hBOOL( hAPP( hAPP( Y, V1 ), V0 ) ) ), ~( hBOOL(
% 2.47/2.82 hAPP( hAPP( X, W ), V1 ) ) ) ] )
% 2.47/2.82 , clause( 34836, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34837, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.47/2.82 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34838, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.47/2.82 , Y ), Z ), Z ) ) ] )
% 2.47/2.82 , clause( 34839, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.47/2.82 , Y ), Z ), Z ) ) ] )
% 2.47/2.82 , clause( 34840, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.47/2.82 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34841, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34842, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34843, [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 2.47/2.82 ), Y ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) )
% 2.47/2.82 , 'c_Lambda_Olift'( Y, Z ) ) ) ] )
% 2.47/2.82 , clause( 34844, [ 'c_Wellfounded_OwfP'( 'c_Transitive__Closure_Otranclp'(
% 2.47/2.82 X, Y ), Y ), ~( 'c_Wellfounded_OwfP'( X, Y ) ) ] )
% 2.47/2.82 , clause( 34845, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 2.47/2.82 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 2.47/2.82 , clause( 34846, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.47/2.82 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.47/2.82 X, Y ), Z ), T ) ) ) ] )
% 2.47/2.82 , clause( 34847, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X
% 2.47/2.82 ) ) ) ] )
% 2.47/2.82 , clause( 34848, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 2.47/2.82 ) ) ] )
% 2.47/2.82 , clause( 34849, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.47/2.82 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 2.47/2.82 , clause( 34850, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T,
% 2.47/2.82 Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( U, 'tc_fun'(
% 2.47/2.82 W, 'tc_bool' ) ) ), Y ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34851, [ hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.47/2.82 T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP( hAPP( Y, U ), W ) ) ) ]
% 2.47/2.82 )
% 2.47/2.82 , clause( 34852, [ hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.47/2.82 T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP( hAPP( X, U ), W ) ) ) ]
% 2.47/2.82 )
% 2.47/2.82 , clause( 34853, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 2.47/2.82 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 2.47/2.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ) ) ) ) ] )
% 2.47/2.82 , clause( 34854, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y
% 2.47/2.82 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 2.47/2.82 , clause( 34855, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 2.47/2.82 , clause( 34856, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34857, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34858, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34859, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34860, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y )
% 2.47/2.82 ) ), =( X, Y ) ] )
% 2.47/2.82 , clause( 34861, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 2.47/2.82 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34862, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 2.47/2.82 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 2.47/2.82 , clause( 34863, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 2.47/2.82 ) ] )
% 2.47/2.82 , clause( 34864, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 2.47/2.82 , clause( 34865, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 2.47/2.82 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'(
% 2.47/2.82 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ] )
% 2.47/2.82 , clause( 34866, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 2.47/2.82 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 2.47/2.82 'tc_Lambda_OdB' ), X ) ) ] )
% 2.47/2.82 , clause( 34867, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 2.47/2.82 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 2.47/2.82 , clause( 34868, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 2.47/2.82 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 2.47/2.82 , clause( 34869, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 2.47/2.82 , clause( 34870, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 2.47/2.82 , clause( 34871, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 2.47/2.82 , clause( 34872, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 2.47/2.82 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 2.47/2.82 , clause( 34873, [ =( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_fequal'( Y ),
% 2.47/2.82 'tc_fun'( Y, 'tc_fun'( Y, 'tc_bool' ) ) ), Y ),
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 2.47/2.82 , clause( 34874, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), =( Z, T ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ] )
% 2.47/2.82 , clause( 34875, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), =( Z, T ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ] )
% 2.47/2.82 , clause( 34876, [ =( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ),
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( Z, Y ), 'tc_fun'( Y, 'tc_fun'( Y,
% 2.47/2.82 'tc_bool' ) ) ), Y ), 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y, 'tc_fun'(
% 2.47/2.82 Y, 'tc_bool' ) ) ), Y ) ) ] )
% 2.47/2.82 , clause( 34877, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34878, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 2.47/2.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 2.47/2.82 , clause( 34879, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 2.47/2.82 , clause( 34880, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 2.47/2.82 , clause( 34881, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 2.47/2.82 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 2.47/2.82 ) ) ) ] )
% 2.47/2.82 , clause( 34882, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.47/2.82 'c_Transitive__Closure_Otranclp'( X, Y ), 'c_fequal'( Y ), 'tc_fun'( Y,
% 2.47/2.82 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Transitive__Closure_Ortranclp'( X, Y ) )
% 2.47/2.82 ] )
% 2.47/2.82 , clause( 34883, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 2.47/2.82 , clause( 34884, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ),
% 2.47/2.82 Y ) ] )
% 2.47/2.82 , clause( 34885, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 2.47/2.82 , clause( 34886, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 2.47/2.82 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 2.47/2.82 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 2.47/2.82 , clause( 34887, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 2.47/2.82 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 2.47/2.82 , clause( 34888, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.47/2.82 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34889, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y )
% 2.47/2.82 ) ), =( X, Y ) ] )
% 2.47/2.82 , clause( 34890, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 2.47/2.82 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 2.47/2.82 , clause( 34891, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y )
% 2.47/2.82 ) ) ] )
% 2.47/2.82 , clause( 34892, [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 2.47/2.82 ), Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z
% 2.47/2.82 , T ) ), 'c_Lambda_Osubst'( Y, Z, T ) ) ) ] )
% 2.47/2.82 , clause( 34893, [ hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.47/2.82 T, 'tc_bool' ) ) ), U ), W ) ), ~( hBOOL( hAPP( hAPP( Y, U ), W ) ) ),
% 2.47/2.82 ~( hBOOL( hAPP( hAPP( X, U ), W ) ) ) ] )
% 2.47/2.82 , clause( 34894, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.47/2.82 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( X, Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34895, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.47/2.82 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34896, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( 'c_Transitive__Closure_Otranclp'( X, Y ), Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34897, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( X,
% 2.47/2.82 Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.47/2.82 X, Y ), U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ] )
% 2.47/2.82 , clause( 34898, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 2.47/2.82 hBOOL( hAPP( hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.82 X, Y ), T ) ) ) ] )
% 2.47/2.82 , clause( 34899, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 2.47/2.82 hBOOL( hAPP( hAPP( X, Z ), T ) ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.82 X, Y ), T ) ) ) ] )
% 2.47/2.82 , clause( 34900, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, Z, T ) ) ) ),
% 2.47/2.82 ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ), Y ) ) ) ] )
% 2.47/2.82 , clause( 34901, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL(
% 2.47/2.82 hAPP( hAPP( T, Z ),
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, T, U ) ) ) ),
% 2.47/2.82 ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( T, U ), Y ) ) ) ] )
% 2.47/2.82 , clause( 34902, [ hBOOL( hAPP( hAPP( X,
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1'( X, Y, Z ) ), Y
% 2.47/2.82 ) ), hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Z ), Y ) ) ] )
% 2.47/2.82 , clause( 34903, [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.82 'c_Lambda_Obeta', T ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 2.47/2.82 , clause( 34904, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 2.47/2.82 'c_Wellfounded_OwfP'( X, Y ) ) ] )
% 2.47/2.82 , clause( 34905, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X
% 2.47/2.82 , Y, Z ), Z, Y ), X ) ] )
% 2.47/2.82 , clause( 34906, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 2.47/2.82 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ] )
% 2.47/2.82 , clause( 34907, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), hBOOL(
% 2.47/2.82 hAPP( hAPP( X, 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1'( X
% 2.47/2.82 , Z, Y ) ), Z ) ) ] )
% 2.47/2.82 , clause( 34908, [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ),
% 2.47/2.82 'c_fequal'( X ) ) ] )
% 2.47/2.82 , clause( 34909, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'(
% 2.47/2.82 'c_Transitive__Closure_Otranclp'( X, Y ), Y, Y ), Z ), T ) ), ~( hBOOL(
% 2.47/2.82 hAPP( hAPP( 'c_Transitive__Closure_Otranclp'( 'c_Predicate_Oconversep'( X
% 2.47/2.82 , Y, Y ), Y ), Z ), T ) ) ) ] )
% 2.47/2.82 , clause( 34910, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Otranclp'(
% 2.47/2.82 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 2.47/2.82 hAPP( 'c_Predicate_Oconversep'( 'c_Transitive__Closure_Otranclp'( X, Y )
% 2.47/2.82 , Y, Y ), Z ), T ) ) ) ] )
% 2.47/2.82 , clause( 34911, [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ),
% 2.47/2.82 'c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1'( X, Z, Y ) ) )
% 2.47/2.82 ), hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ) ] )
% 2.47/2.82 , clause( 34912, [ =( 'c_Transitive__Closure_Otranclp'(
% 2.47/2.82 'c_Predicate_Oconversep'( X, Y, Y ), Y ), 'c_Predicate_Oconversep'(
% 2.47/2.82 'c_Transitive__Closure_Otranclp'( X, Y ), Y, Y ) ) ] )
% 2.47/2.82 , clause( 34913, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( hBOOL( hAPP(
% 2.47/2.82 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 2.47/2.82 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ) ) ] )
% 2.47/2.82 , clause( 34914, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.82 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.83 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ), ~( hBOOL( hAPP(
% 2.47/2.83 'c_InductTermi_OIT', X ) ) ) ] )
% 2.47/2.83 , clause( 34915, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 2.47/2.83 hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.83 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) ) ) ] )
% 2.47/2.83 , clause( 34916, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 2.47/2.83 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T ) )
% 2.47/2.83 ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), T ) ) ) ] )
% 2.47/2.83 , clause( 34917, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'(
% 2.47/2.83 X, Y, Z ) ), 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.83 'c_Lambda_Obeta', X ), T ) ) ) ] )
% 2.47/2.83 , clause( 34918, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 2.47/2.83 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( Z, 't_a' ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34919, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL(
% 2.47/2.83 hAPP( hAPP( T, Z ), 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, T ) ) )
% 2.47/2.83 ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( T, 't_a' ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34920, [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.83 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.83 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 2.47/2.83 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 2.47/2.83 'tc_nat' ) ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 2.47/2.83 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Y ) ) ), hBOOL(
% 2.47/2.83 hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 2.47/2.83 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 2.47/2.83 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 2.47/2.83 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 2.47/2.83 , clause( 34921, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 2.47/2.83 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( Z, 't_a' ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34922, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL(
% 2.47/2.83 hAPP( hAPP( T, Z ), 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, T ) ) ) )
% 2.47/2.83 , ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( T, 't_a' ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34923, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ),
% 2.47/2.83 T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 2.47/2.83 , clause( 34924, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.83 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34925, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ),
% 2.47/2.83 T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 2.47/2.83 , clause( 34926, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.83 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34927, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( Z, 't_a' ), T ) ), ~( hBOOL( hAPP( hAPP( Z, T ),
% 2.47/2.83 'v_sko__Wellfounded__Xaccp__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( Z, 't_a' ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34928, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( Z, 't_a' ), T ) ), ~( hBOOL( hAPP( hAPP( Z, T ),
% 2.47/2.83 'v_sko__Wellfounded__Xaccp__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( Z, 't_a' ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34929, [ =( 'c_Predicate_Oconversep'(
% 2.47/2.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.47/2.83 T, 'tc_bool' ) ) ), Z, T ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 2.47/2.83 'c_Predicate_Oconversep'( X, Z, T ), 'c_Predicate_Oconversep'( Y, Z, T )
% 2.47/2.83 , 'tc_fun'( T, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 2.47/2.83 , clause( 34930, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 2.47/2.83 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.83 'c_Transitive__Closure_Ortranclp'( 'c_Predicate_Oconversep'( X, Y, Y ), Y
% 2.47/2.83 ), T ), Z ) ) ) ] )
% 2.47/2.83 , clause( 34931, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 2.47/2.83 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 2.47/2.83 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ] )
% 2.47/2.83 , clause( 34932, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( Z, T ),
% 2.47/2.83 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1'( X, Z, T ) ) ),
% 2.47/2.83 ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34933, [ =( 'c_Predicate_Oconversep'(
% 2.47/2.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z, 'tc_fun'(
% 2.47/2.83 T, 'tc_bool' ) ) ), Z, T ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 2.47/2.83 'c_Predicate_Oconversep'( X, Z, T ), 'c_Predicate_Oconversep'( Y, Z, T )
% 2.47/2.83 , 'tc_fun'( T, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 2.47/2.83 , clause( 34934, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 2.47/2.83 hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ),
% 2.47/2.83 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1'( X, Z, Y ) ) ) )
% 2.47/2.83 ] )
% 2.47/2.83 , clause( 34935, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), ~(
% 2.47/2.83 hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ),
% 2.47/2.83 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1'( X, Z, Y ) ) ) ) ] )
% 2.47/2.83 , clause( 34936, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( X, Y ), Z ) ), hBOOL(
% 2.47/2.83 hAPP( hAPP( X, 'c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1'( X, Z, Y )
% 2.47/2.83 ), Z ) ) ] )
% 2.47/2.83 , clause( 34937, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 2.47/2.83 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z
% 2.47/2.83 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ] )
% 2.47/2.83 , clause( 34938, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 2.47/2.83 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y
% 2.47/2.83 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 2.47/2.83 , clause( 34939, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 2.47/2.83 'c_Wellfounded_Oaccp'( Z, T ),
% 2.47/2.83 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, Z, T ) )
% 2.47/2.83 ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34940, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Olift'( X
% 2.47/2.83 , Y ) ), 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.83 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 2.47/2.83 , clause( 34941, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 2.47/2.83 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, Z, T ) )
% 2.47/2.83 ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( Z, T ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34942, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL(
% 2.47/2.83 hAPP( hAPP( T, Z ),
% 2.47/2.83 'c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1'( X, T, U ) )
% 2.47/2.83 ) ), ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'( T, U ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34943, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Opred__comp'(
% 2.47/2.83 X, Y, Z, T, U ), Z, U ), 'c_Predicate_Opred__comp'(
% 2.47/2.83 'c_Predicate_Oconversep'( Y, T, U ), 'c_Predicate_Oconversep'( X, Z, T )
% 2.47/2.83 , U, T, Z ) ) ] )
% 2.47/2.83 , clause( 34944, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'(
% 2.47/2.83 X ) ), 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 2.47/2.83 'c_Lambda_Obeta', X ), Y ) ) ) ] )
% 2.47/2.83 , clause( 34945, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ] )
% 2.47/2.83 , clause( 34946, [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.83 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.83 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'v_t' ) ) ) ] )
% 2.47/2.83 , clause( 34947, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) )
% 2.47/2.83 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 2.47/2.83 , clause( 34948, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) )
% 2.47/2.83 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 2.47/2.83 , clause( 34949, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ),
% 2.47/2.83 ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 2.47/2.83 , clause( 34950, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 2.47/2.83 'class_Lattices_Olattice'( Y ) ) ] )
% 2.47/2.83 , clause( 34951, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 2.47/2.83 , clause( 34952, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 2.47/2.83 , clause( 34953, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 2.47/2.83 , clause( 34954, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 2.47/2.83 , clause( 34955, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 2.47/2.83 , clause( 34956, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 2.47/2.83 , clause( 34957, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 2.47/2.83 , clause( 34958, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 2.47/2.83 , clause( 34959, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 2.47/2.83 , clause( 34960, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y
% 2.47/2.83 ) ) ) ] )
% 2.47/2.83 ] ).
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 subsumption(
% 2.47/2.83 clause( 143, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 2.47/2.83 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 2.47/2.83 X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 2.47/2.83 , clause( 34914, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.83 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.83 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ), ~( hBOOL( hAPP(
% 2.47/2.83 'c_InductTermi_OIT', X ) ) ) ] )
% 2.47/2.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.47/2.83 1 )] ) ).
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 subsumption(
% 2.47/2.83 clause( 171, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ] )
% 2.47/2.83 , clause( 34945, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ] )
% 2.47/2.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 subsumption(
% 2.47/2.83 clause( 172, [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.83 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.83 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'v_t' ) ) ) ] )
% 2.47/2.83 , clause( 34946, [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.83 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.83 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'v_t' ) ) ) ] )
% 2.47/2.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 resolution(
% 2.47/2.83 clause( 35320, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ) ] )
% 2.47/2.83 , clause( 172, [ ~( hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.83 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.83 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'v_t' ) ) ) ] )
% 2.47/2.83 , 0, clause( 143, [ hBOOL( hAPP( 'c_Wellfounded_Oaccp'(
% 2.47/2.83 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 2.47/2.83 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), X ) ), ~( hBOOL( hAPP(
% 2.47/2.83 'c_InductTermi_OIT', X ) ) ) ] )
% 2.47/2.83 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_t' )] )).
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 resolution(
% 2.47/2.83 clause( 35321, [] )
% 2.47/2.83 , clause( 35320, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ) ] )
% 2.47/2.83 , 0, clause( 171, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_t' ) ) ] )
% 2.47/2.83 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 subsumption(
% 2.47/2.83 clause( 34755, [] )
% 2.47/2.83 , clause( 35321, [] )
% 2.47/2.83 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 end.
% 2.47/2.83
% 2.47/2.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.47/2.83
% 2.47/2.83 Memory use:
% 2.47/2.83
% 2.47/2.83 space for terms: 984192
% 2.47/2.83 space for clauses: 1756970
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 clauses generated: 204719
% 2.47/2.83 clauses kept: 34756
% 2.47/2.83 clauses selected: 572
% 2.47/2.83 clauses deleted: 122
% 2.47/2.83 clauses inuse deleted: 3
% 2.47/2.83
% 2.47/2.83 subsentry: 295937
% 2.47/2.83 literals s-matched: 207949
% 2.47/2.83 literals matched: 203119
% 2.47/2.83 full subsumption: 117289
% 2.47/2.83
% 2.47/2.83 checksum: 1193670183
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 Bliksem ended
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