TSTP Solution File: LCL785-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL785-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:57:57 EDT 2022
% Result : Unsatisfiable 32.49s 32.54s
% Output : Refutation 32.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL785-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Mon Jul 4 05:53:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.81/1.22 *** allocated 10000 integers for termspace/termends
% 0.81/1.22 *** allocated 10000 integers for clauses
% 0.81/1.22 *** allocated 10000 integers for justifications
% 0.81/1.22 Bliksem 1.12
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Automatic Strategy Selection
% 0.81/1.22
% 0.81/1.22 Clauses:
% 0.81/1.22 [
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.81/1.22 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X
% 0.81/1.22 , Y, T ) ), ~( 'c_Type_Otypings'( X, 'c_List_Oappend'( T,
% 0.81/1.22 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.81/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.81/1.22 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 0.81/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 0.81/1.22 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.81/1.22 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.81/1.22 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 0.81/1.22 ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.22 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.81/1.22 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.22 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.22 'c_Predicate_Oconversep'( X, Y, Y ), Y ), T ), Z ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.22 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.81/1.22 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.22 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z ), T ), U ) ),
% 0.81/1.22 ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.81/1.22 ), =( X, T ) ],
% 0.81/1.22 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.22 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 0.81/1.22 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.81/1.22 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( 'c_Wellfounded_Oaccp'( X, T, Z )
% 0.81/1.22 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Z ), Y )
% 0.81/1.22 , T ) ) ) ],
% 0.81/1.22 [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ), ~( hBOOL( hAPP(
% 0.81/1.22 'c_InductTermi_OIT', X ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~( 'c_Wellfounded_Oaccp'(
% 0.81/1.22 'c_Predicate_Oconversep'( 'c_Lambda_Obeta', 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 0.81/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 X, T, 'tc_nat' ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.81/1.22 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.81/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.81/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 0.81/1.22 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 0.81/1.22 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ), 'c_fequal'( X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate1'( X, Y ),
% 0.81/1.22 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.81/1.22 ) ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oappend'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 0.81/1.22 ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ) ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.81/1.22 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.81/1.22 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.22 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 0.81/1.22 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Oreplicate'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), X ), Y ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z
% 0.81/1.22 , T ), 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.81/1.22 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), X ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'( X, Y, Z ), Z, Y
% 0.81/1.22 ), X ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.22 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.22 , Z ), Y ), 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 0.81/1.22 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 0.81/1.22 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.81/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.81/1.22 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.81/1.22 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.81/1.22 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.81/1.22 [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) )
% 0.81/1.22 ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'(
% 0.81/1.22 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y ), Y ), X ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.81/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.81/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.81/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.81/1.22 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.81/1.22 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.81/1.22 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 0.81/1.22 , 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 0.81/1.22 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 0.81/1.22 , 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.22 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.81/1.22 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.81/1.22 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.81/1.22 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.81/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.81/1.22 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.81/1.22 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.81/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.81/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.81/1.22 ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ),
% 0.81/1.22 Y ), Y ), X ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.81/1.22 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.81/1.22 T, U, X, Y, Z ), Y, Z ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.81/1.22 , =( 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.81/1.22 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.81/1.22 , =( X, 'c_List_Olist_OCons'( T,
% 0.81/1.22 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.81/1.22 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.81/1.22 , =( Y, 'c_List_Oappend'(
% 0.81/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.81/1.22 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.81/1.22 ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Olast'( Y
% 0.81/1.22 , Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.81/1.22 , Y ), 'c_List_Olast'( X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 0.81/1.22 ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.81/1.22 , =( Y, 'c_List_Oappend'(
% 0.81/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.81/1.22 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.81/1.22 , =( X, 'c_List_Olist_OCons'( T,
% 0.81/1.22 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.81/1.22 ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.81/1.22 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.81/1.22 T, U, X, Y, Z ), Y, Z ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.81/1.22 , =( 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.81/1.22 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.81/1.22 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.81/1.22 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.81/1.22 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.81/1.22 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z ), Z
% 0.81/1.22 ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.81/1.22 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), ~(
% 0.81/1.22 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 0.81/1.22 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.81/1.22 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.81/1.22 X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.81/1.22 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 0.81/1.22 Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.81/1.22 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.81/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.81/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.81/1.22 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.81/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.81/1.22 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.81/1.22 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.81/1.22 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.81/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.81/1.22 , 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( T,
% 0.81/1.22 'c_List_Oappend'(
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.81/1.22 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.81/1.22 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OAbs'(
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.81/1.22 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.81/1.22 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.81/1.22 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.81/1.22 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.81/1.22 =( Y, T ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.81/1.22 =( X, T ) ],
% 0.81/1.22 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.81/1.22 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.81/1.22 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.81/1.22 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.81/1.22 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.81/1.22 , X ), T ) ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.81/1.22 hAPP( Z, T ) ) ],
% 0.81/1.22 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.81/1.22 T, Y, Z ), Z ) ) ],
% 0.81/1.22 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.81/1.22 Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.81/1.22 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.81/1.22 'tc_nat' ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.81/1.22 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ],
% 0.81/1.22 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.81/1.22 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.81/1.22 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.81/1.22 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.81/1.22 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.81/1.22 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.81/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), Y ), Z ) ), T ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), Y ), Z ) ), T ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.81/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.22 ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.22 ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.81/1.22 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.81/1.22 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y, T ), Z ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.81/1.22 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.81/1.22 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.81/1.22 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.81/1.22 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.22 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.81/1.22 ), Z ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.81/1.22 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.22 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.81/1.22 ), Z ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 0.81/1.22 ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.22 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.81/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.81/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.81/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.81/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.81/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.81/1.22 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.81/1.22 ) ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.81/1.22 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.81/1.22 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.81/1.22 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.22 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.81/1.22 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.81/1.22 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.81/1.22 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.81/1.22 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y ), X ) ],
% 0.81/1.22 [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 0.81/1.22 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Olift'( X, Y ) ),
% 0.81/1.22 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.81/1.22 , Z ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.81/1.22 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.81/1.22 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.81/1.22 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.81/1.22 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.81/1.22 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.81/1.22 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.81/1.22 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.81/1.22 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.22 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.81/1.22 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.81/1.22 Y ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.81/1.22 Y ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.22 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.81/1.22 Y ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.81/1.22 Y ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.81/1.22 Y ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.81/1.22 Y ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.81/1.22 Y ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.81/1.22 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.81/1.22 , Y ) ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.81/1.22 X, T ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.81/1.22 X, T ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.81/1.22 ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.81/1.22 ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.22 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.81/1.22 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.81/1.22 ), Z ), U ) ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.81/1.22 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.81/1.22 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.81/1.22 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U, T, W ),
% 0.81/1.22 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.81/1.22 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.81/1.22 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.81/1.22 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.22 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.81/1.22 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( T
% 0.81/1.22 , Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.81/1.22 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.81/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 'c_List_Ofoldr'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.22 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.81/1.22 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.81/1.22 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.81/1.22 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.81/1.22 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.81/1.22 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.81/1.22 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.81/1.22 'tc_nat' ) ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X, Y ) ) ), ~(
% 0.81/1.22 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.81/1.22 , 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.81/1.22 , 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.81/1.22 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.81/1.22 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Y, X ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'( X, Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), 'c_Lambda_Olift'( X, Y ) ), 'c_Lambda_Olift'( Z, Y )
% 0.81/1.22 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.81/1.22 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.81/1.22 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.81/1.22 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.81/1.22 ), =( Z, Y ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.81/1.22 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.22 T, X ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X
% 0.81/1.22 ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ],
% 0.81/1.22 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.81/1.22 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.81/1.22 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.81/1.22 ), W ), W ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.22 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.81/1.22 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.81/1.22 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.81/1.22 X ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.81/1.22 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.81/1.22 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.81/1.22 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.81/1.22 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T ), U, T, W ),
% 0.81/1.22 hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ],
% 0.81/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.81/1.22 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.81/1.22 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.81/1.22 ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X,
% 0.81/1.22 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.81/1.22 ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.81/1.22 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.81/1.22 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.81/1.22 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.81/1.22 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.81/1.22 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.81/1.22 ) ), =( X, T ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.81/1.22 ) ), =( Y, U ) ],
% 0.81/1.22 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.81/1.22 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.81/1.22 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.81/1.22 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.81/1.22 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.81/1.22 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.81/1.22 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.22 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.81/1.22 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.81/1.22 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.22 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z, 'tc_Type_Otype' ),
% 0.81/1.22 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X, T, U ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 0.81/1.22 X ) ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OVar'(
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.81/1.22 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.81/1.22 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ],
% 0.81/1.22 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.81/1.22 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.81/1.22 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.81/1.22 Z ) ) ) ],
% 0.81/1.22 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.81/1.22 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.81/1.22 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.81/1.22 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.81/1.22 Z ) ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.81/1.22 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.81/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.81/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.81/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.81/1.22 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.81/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.81/1.22 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.81/1.22 Z, U ), W ) ) ) ],
% 0.81/1.22 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.81/1.22 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.81/1.22 Z, U ), W ) ) ) ],
% 0.81/1.22 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeD__1__1'(
% 0.81/1.22 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.81/1.22 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 0.81/1.22 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 0.81/1.22 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.81/1.22 , Y ) ) ],
% 0.81/1.22 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.81/1.22 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.81/1.22 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.81/1.22 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.81/1.22 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.81/1.22 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.81/1.22 ) ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T ),
% 0.81/1.22 ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y, hAPP( hAPP(
% 0.81/1.22 'c_Type_Otype_OFun', U ), T ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.81/1.22 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.81/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.81/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.81/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.81/1.22 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.81/1.22 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.81/1.22 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.81/1.22 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), X ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.81/1.22 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.81/1.22 ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OVar'(
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.81/1.22 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.81/1.22 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.81/1.22 , Y ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.81/1.22 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.81/1.22 hAPP( X, T ) ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.81/1.22 Z ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.81/1.22 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ) ],
% 0.81/1.22 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.81/1.22 hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) ) ), ~(
% 0.81/1.22 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', T ) )
% 0.81/1.22 ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype' ), Z,
% 0.81/1.22 V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.81/1.22 [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ) ) ), hBOOL(
% 0.81/1.22 hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) ) ), ~(
% 0.81/1.22 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', T ) )
% 0.81/1.22 ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype' ), Z,
% 0.81/1.22 V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ],
% 0.81/1.22 [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ],
% 0.81/1.22 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP( hAPP(
% 0.81/1.22 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( X
% 0.81/1.22 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_Type_Otype' ), Y, T ) )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'v_n____', 'v_i____' ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.81/1.22 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.81/1.22 , Z ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.81/1.22 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z ),
% 0.81/1.22 hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) ),
% 0.81/1.22 'c_Lambda_Olift'( Y, Z ) ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______', 'v_ia______',
% 0.81/1.22 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.81/1.22 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, Y, T ), Z,
% 0.81/1.22 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), Z ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____' ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), 'c_List_Ofoldr'(
% 0.81/1.22 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X,
% 0.81/1.22 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.81/1.22 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, Z,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~( 'c_Type_Otypings'( X, Z, U )
% 0.81/1.22 ), ~( 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T
% 0.81/1.22 , 'tc_Type_Otype', 'tc_Type_Otype' ) ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.81/1.22 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.81/1.22 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.81/1.22 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.81/1.22 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.81/1.22 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.81/1.22 X, U ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, Y, 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z,
% 0.81/1.22 X, T, Y ) ), ~( 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T )
% 0.81/1.22 , Y ), Z ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.81/1.22 hAPP( X, T ) ) ],
% 0.81/1.22 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xlist__app__typeE__1__1'(
% 0.81/1.22 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', T, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.81/1.22 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.81/1.22 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.81/1.22 , Y ) ],
% 0.81/1.22 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.81/1.22 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.81/1.22 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.81/1.22 , Z, U, W ) ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.81/1.22 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.81/1.22 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.81/1.22 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.81/1.22 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.81/1.22 , Z ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.81/1.22 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.81/1.22 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.81/1.22 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.81/1.22 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.81/1.22 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.81/1.22 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.81/1.22 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.81/1.22 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.81/1.22 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 0.81/1.22 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, Y, T ), Z,
% 0.81/1.22 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), Z ) ) ],
% 0.81/1.22 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.81/1.22 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.81/1.22 ) ) ) ],
% 0.81/1.22 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.81/1.22 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.81/1.22 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.81/1.22 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.81/1.22 [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'(
% 0.81/1.22 X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'( X,
% 0.81/1.22 'c_Lambda_Osubst'( U, Y, T ), W ) ],
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.81/1.22 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.81/1.22 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.81/1.22 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.81/1.22 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.81/1.22 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.81/1.22 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.81/1.22 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun',
% 0.81/1.22 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 0.81/1.22 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.81/1.22 Z ) ) ) ],
% 0.81/1.22 [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 0.81/1.22 'tc_Lambda_OdB' ) ) ],
% 0.81/1.22 [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____',
% 0.81/1.22 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.81/1.22 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 0.81/1.22 'tc_Lambda_OdB' ), 'v_T_H____' ) ],
% 0.81/1.22 [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____', 'v_T____'
% 0.81/1.22 , 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.81/1.22 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ) ), 'v_a____' ),
% 0.81/1.22 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ) ],
% 0.81/1.22 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.81/1.22 'class_Orderings_Opreorder'( Y ) ) ],
% 0.81/1.22 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.81/1.22 'class_Orderings_Oorder'( Y ) ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.81/1.22 ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.81/1.22 ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.81/1.22 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.81/1.22 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.81/1.22 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.81/1.22 ] .
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 percentage equality = 0.441257, percentage horn = 0.897368
% 0.81/1.22 This is a problem with some equality
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Options Used:
% 0.81/1.22
% 0.81/1.22 useres = 1
% 0.81/1.22 useparamod = 1
% 0.81/1.22 useeqrefl = 1
% 0.81/1.22 useeqfact = 1
% 0.81/1.22 usefactor = 1
% 0.81/1.22 usesimpsplitting = 0
% 0.81/1.22 usesimpdemod = 5
% 0.81/1.22 usesimpres = 3
% 0.81/1.22
% 0.81/1.22 resimpinuse = 1000
% 0.81/1.22 resimpclauses = 20000
% 0.81/1.22 substype = eqrewr
% 0.81/1.22 backwardsubs = 1
% 0.81/1.22 selectoldest = 5
% 0.81/1.22
% 0.81/1.22 litorderings [0] = split
% 0.81/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.22
% 0.81/1.22 termordering = kbo
% 0.81/1.22
% 0.81/1.22 litapriori = 0
% 0.81/1.22 termapriori = 1
% 0.81/1.22 litaposteriori = 0
% 0.81/1.22 termaposteriori = 0
% 0.81/1.22 demodaposteriori = 0
% 0.81/1.22 ordereqreflfact = 0
% 0.81/1.22
% 0.81/1.22 litselect = negord
% 0.81/1.22
% 0.81/1.22 maxweight = 15
% 0.81/1.22 maxdepth = 30000
% 0.81/1.22 maxlength = 115
% 0.81/1.22 maxnrvars = 195
% 0.81/1.22 excuselevel = 1
% 0.81/1.22 increasemaxweight = 1
% 0.81/1.22
% 0.81/1.22 maxselected = 10000000
% 0.81/1.22 maxnrclauses = 10000000
% 1.23/1.29
% 1.23/1.29 showgenerated = 0
% 1.23/1.29 showkept = 0
% 1.23/1.29 showselected = 0
% 1.23/1.29 showdeleted = 0
% 1.23/1.29 showresimp = 1
% 1.23/1.29 showstatus = 2000
% 1.23/1.29
% 1.23/1.29 prologoutput = 1
% 1.23/1.29 nrgoals = 5000000
% 1.23/1.29 totalproof = 1
% 1.23/1.29
% 1.23/1.29 Symbols occurring in the translation:
% 1.23/1.29
% 1.23/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.23/1.29 . [1, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.23/1.29 ! [4, 1] (w:0, o:104, a:1, s:1, b:0),
% 1.23/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.23/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.23/1.29 'class_OrderedGroup_Omonoid__add' [40, 1] (w:1, o:111, a:1, s:1, b:0)
% 1.23/1.29 ,
% 1.23/1.29 'c_List_Olistsum' [42, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.23/1.29 'c_HOL_Oplus__class_Oplus' [43, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.23/1.29 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Ofoldl' [45, 5] (w:1, o:208, a:1, s:1, b:0),
% 1.23/1.29 'tc_nat' [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.23/1.29 'tc_List_Olist' [47, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.23/1.29 'c_Nat_Osize__class_Osize' [48, 2] (w:1, o:174, a:1, s:1, b:0),
% 1.23/1.29 'c_HOL_Oord__class_Oless' [49, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Olist_ONil' [50, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.23/1.29 'c_Type_Osko__Type__Xtypes__snocE__1__2' [55, 4] (w:1, o:199, a:1, s:
% 1.23/1.29 1, b:0),
% 1.23/1.29 'c_Type_Otyping' [56, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.23/1.29 'tc_Lambda_OdB' [57, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Olist_OCons' [58, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Oappend' [59, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.23/1.29 'c_Type_Otypings' [60, 3] (w:1, o:189, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Orev' [62, 2] (w:1, o:175, a:1, s:1, b:0),
% 1.23/1.29 hAPP [64, 2] (w:1, o:176, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Oreplicate' [67, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Olast' [69, 2] (w:1, o:177, a:1, s:1, b:0),
% 1.23/1.29 'c_Predicate_Oconversep' [73, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.23/1.29 'c_Transitive__Closure_Ortranclp' [74, 2] (w:1, o:178, a:1, s:1, b:0)
% 1.23/1.29 ,
% 1.23/1.29 hBOOL [75, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Orotate1' [81, 2] (w:1, o:179, a:1, s:1, b:0),
% 1.23/1.29 'c_Wellfounded_Oaccp' [82, 3] (w:1, o:193, a:1, s:1, b:0),
% 1.23/1.29 'c_Lambda_Obeta' [83, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.23/1.29 'c_InductTermi_OIT' [84, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.23/1.29 'class_Nat_Osemiring__char__0' [88, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.23/1.29 'c_Nat_Osemiring__1__class_Oof__nat' [89, 2] (w:1, o:180, a:1, s:1
% 1.23/1.29 , b:0),
% 1.23/1.29 'c_fequal' [90, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.23/1.29 'class_OrderedGroup_Ocomm__monoid__add' [91, 1] (w:1, o:118, a:1, s:1
% 1.23/1.29 , b:0),
% 1.23/1.29 'c_List_Obutlast' [92, 2] (w:1, o:181, a:1, s:1, b:0),
% 1.23/1.29 'class_Ring__and__Field_Osemiring__1' [93, 1] (w:1, o:119, a:1, s:1
% 1.23/1.29 , b:0),
% 1.23/1.29 'class_Ring__and__Field_Oordered__semidom' [94, 1] (w:1, o:120, a:1
% 1.23/1.29 , s:1, b:0),
% 1.23/1.29 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1' [96, 5] (w:1, o:
% 1.23/1.29 209, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Osko__List__XCons__eq__append__conv__1__1' [97, 5] (w:1, o:
% 1.23/1.29 210, a:1, s:1, b:0),
% 1.23/1.29 'c_Lambda_OdB_OApp' [98, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.23/1.29 'c_Lambda_Osubst' [100, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.23/1.29 'c_Lambda_OdB_OAbs' [102, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.23/1.29 'c_List_Ofoldr' [103, 5] (w:1, o:211, a:1, s:1, b:0),
% 1.23/1.29 'c_Lambda_OdB_OVar' [104, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.23/1.29 'c_Lambda_Oliftn' [105, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.23/1.29 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 1.23/1.29 108, 4] (w:1, o:200, a:1, s:1, b:0),
% 1.23/1.29 'c_ListApplication_Osko__ListApplication__Xlem__1__3' [110, 1] (w:1
% 1.23/1.29 , o:124, a:1, s:1, b:0),
% 1.23/1.29 'c_ListApplication_Osko__ListApplication__Xlem__1__4' [111, 1] (w:1
% 1.23/1.29 , o:125, a:1, s:1, b:0),
% 1.23/1.29 'c_ListApplication_Osko__ListApplication__Xlem__1__1' [112, 1] (w:1
% 1.23/1.29 , o:126, a:1, s:1, b:0),
% 1.23/1.29 'c_ListApplication_Osko__ListApplication__Xlem__1__2' [113, 1] (w:1
% 1.23/1.29 , o:123, a:1, s:1, b:0),
% 1.23/1.29 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3' [114, 1
% 1.23/1.29 ] (w:1, o:128, a:1, s:1, b:0),
% 1.23/1.29 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4' [115, 1
% 1.23/1.29 ] (w:1, o:129, a:1, s:1, b:0),
% 6.13/6.17 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1' [116, 1
% 6.13/6.17 ] (w:1, o:130, a:1, s:1, b:0),
% 6.13/6.17 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2' [117, 1
% 6.13/6.17 ] (w:1, o:127, a:1, s:1, b:0),
% 6.13/6.17 'c_List_Olistsp' [119, 3] (w:1, o:196, a:1, s:1, b:0),
% 6.13/6.17 'c_ListOrder_Ostep1' [120, 4] (w:1, o:201, a:1, s:1, b:0),
% 6.13/6.17 'c_Lambda_OdB_OdB__case' [125, 5] (w:1, o:212, a:1, s:1, b:0),
% 6.13/6.17 'v_ua______' [127, 0] (w:1, o:70, a:1, s:1, b:0),
% 6.13/6.17 'c_Lambda_Osubstn' [130, 3] (w:1, o:197, a:1, s:1, b:0),
% 6.13/6.17 'class_OrderedGroup_Olordered__ab__group__add' [131, 1] (w:1, o:110
% 6.13/6.17 , a:1, s:1, b:0),
% 6.13/6.17 'class_Orderings_Opreorder' [132, 1] (w:1, o:132, a:1, s:1, b:0),
% 6.13/6.17 'class_Orderings_Oorder' [133, 1] (w:1, o:131, a:1, s:1, b:0),
% 6.13/6.17 'class_Ring__and__Field_Ocomm__semiring__1' [134, 1] (w:1, o:133, a:1
% 6.13/6.17 , s:1, b:0),
% 6.13/6.17 'class_OrderedGroup_Oab__group__add' [135, 1] (w:1, o:134, a:1, s:1
% 6.13/6.17 , b:0),
% 6.13/6.17 'class_OrderedGroup_Oab__semigroup__add' [137, 1] (w:1, o:135, a:1
% 6.13/6.17 , s:1, b:0),
% 6.13/6.17 'class_OrderedGroup_Opordered__comm__monoid__add' [140, 1] (w:1, o:
% 6.13/6.17 136, a:1, s:1, b:0),
% 6.13/6.17 'class_Ring__and__Field_Oidom' [142, 1] (w:1, o:137, a:1, s:1, b:0),
% 6.13/6.17
% 6.13/6.17 'class_Int_Onumber__ring' [143, 1] (w:1, o:138, a:1, s:1, b:0),
% 6.13/6.17 'class_OrderedGroup_Ocancel__ab__semigroup__add' [144, 1] (w:1, o:139
% 6.13/6.17 , a:1, s:1, b:0),
% 6.13/6.17 'class_OrderedGroup_Ocancel__semigroup__add' [145, 1] (w:1, o:140, a:
% 6.13/6.17 1, s:1, b:0),
% 6.13/6.17 'v_u____' [149, 0] (w:1, o:74, a:1, s:1, b:0),
% 6.13/6.17 'c_Lambda_Olift' [151, 2] (w:1, o:182, a:1, s:1, b:0),
% 6.13/6.17 'c_OrderedGroup_Omonoid__add' [154, 3] (w:1, o:191, a:1, s:1, b:0),
% 6.13/6.17 'class_Ring__and__Field_Oordered__idom' [155, 1] (w:1, o:141, a:1, s:
% 6.13/6.17 1, b:0),
% 6.13/6.17 'class_Orderings_Olinorder' [157, 1] (w:1, o:142, a:1, s:1, b:0),
% 6.13/6.17 'c_OrderedGroup_Osemigroup__add' [158, 2] (w:1, o:183, a:1, s:1, b:0)
% 6.13/6.17 ,
% 6.13/6.17 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [159, 1]
% 6.13/6.17 (w:1, o:143, a:1, s:1, b:0),
% 6.13/6.17 'c_Lambda_OdB_OdB__rec' [160, 5] (w:1, o:213, a:1, s:1, b:0),
% 6.13/6.17 'class_OrderedGroup_Osemigroup__add' [161, 1] (w:1, o:144, a:1, s:1
% 6.13/6.17 , b:0),
% 6.13/6.17 't_a' [162, 0] (w:1, o:78, a:1, s:1, b:0),
% 6.13/6.17 'c_Type_Otype_OFun' [163, 0] (w:1, o:79, a:1, s:1, b:0),
% 6.13/6.17 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [168, 1]
% 6.13/6.17 (w:1, o:145, a:1, s:1, b:0),
% 6.13/6.17 'tc_Type_Otype' [171, 0] (w:1, o:84, a:1, s:1, b:0),
% 6.13/6.17 'c_Type_Oshift' [172, 4] (w:1, o:202, a:1, s:1, b:0),
% 6.13/6.17 'v_e____' [173, 0] (w:1, o:85, a:1, s:1, b:0),
% 6.13/6.17 'v_T____' [174, 0] (w:1, o:86, a:1, s:1, b:0),
% 6.13/6.17 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [178, 4] (w:1, o:203, a:
% 6.13/6.17 1, s:1, b:0),
% 6.13/6.17 'c_Type_Osko__Type__Xlist__app__typeD__1__1' [184, 4] (w:1, o:204, a:
% 6.13/6.17 1, s:1, b:0),
% 6.13/6.17 'c_Type_Osko__Type__Xvar__app__types__1__1' [185, 4] (w:1, o:205, a:1
% 6.13/6.17 , s:1, b:0),
% 6.13/6.17 'v_n____' [192, 0] (w:1, o:89, a:1, s:1, b:0),
% 6.13/6.17 'v_i____' [193, 0] (w:1, o:90, a:1, s:1, b:0),
% 6.13/6.17 'v_ea______' [194, 0] (w:1, o:91, a:1, s:1, b:0),
% 6.13/6.17 'v_ia______' [195, 0] (w:1, o:92, a:1, s:1, b:0),
% 6.13/6.17 'v_rs____' [196, 0] (w:1, o:93, a:1, s:1, b:0),
% 6.13/6.17 'v_T_Ha______' [197, 0] (w:1, o:94, a:1, s:1, b:0),
% 6.13/6.17 'c_Type_Osko__Type__Xlist__app__typeE__1__1' [198, 4] (w:1, o:206, a:
% 6.13/6.17 1, s:1, b:0),
% 6.13/6.17 'v_T_H____' [199, 0] (w:1, o:95, a:1, s:1, b:0),
% 6.13/6.17 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [201, 3] (w:
% 6.13/6.17 1, o:198, a:1, s:1, b:0),
% 6.13/6.17 'c_Type_Osko__Type__Xtyping__elims__2__1' [202, 4] (w:1, o:207, a:1
% 6.13/6.17 , s:1, b:0),
% 6.13/6.17 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2' [203, 1
% 6.13/6.17 ] (w:1, o:147, a:1, s:1, b:0),
% 6.13/6.17 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1' [204, 1
% 6.13/6.17 ] (w:1, o:146, a:1, s:1, b:0),
% 6.13/6.17 'v_a____' [205, 0] (w:1, o:97, a:1, s:1, b:0),
% 6.13/6.17 'v_as____' [206, 0] (w:1, o:98, a:1, s:1, b:0),
% 6.13/6.17 'tc_fun' [210, 2] (w:1, o:184, a:1, s:1, b:0),
% 6.13/6.17 'tc_bool' [211, 0] (w:1, o:101, a:1, s:1, b:0).
% 6.13/6.17
% 6.13/6.17
% 6.13/6.17 Starting Search:
% 6.13/6.17
% 6.13/6.17 Resimplifying inuse:
% 6.13/6.17 Done
% 6.13/6.17
% 6.13/6.17
% 6.13/6.17 Intermediate Status:
% 23.63/23.70 Generated: 6929
% 23.63/23.70 Kept: 2012
% 23.63/23.70 Inuse: 102
% 23.63/23.70 Deleted: 4
% 23.63/23.70 Deletedinuse: 0
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 15175
% 23.63/23.70 Kept: 4097
% 23.63/23.70 Inuse: 152
% 23.63/23.70 Deleted: 4
% 23.63/23.70 Deletedinuse: 0
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 23905
% 23.63/23.70 Kept: 6097
% 23.63/23.70 Inuse: 198
% 23.63/23.70 Deleted: 5
% 23.63/23.70 Deletedinuse: 0
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 31434
% 23.63/23.70 Kept: 8101
% 23.63/23.70 Inuse: 238
% 23.63/23.70 Deleted: 5
% 23.63/23.70 Deletedinuse: 0
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 41026
% 23.63/23.70 Kept: 10298
% 23.63/23.70 Inuse: 300
% 23.63/23.70 Deleted: 6
% 23.63/23.70 Deletedinuse: 0
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 50388
% 23.63/23.70 Kept: 12306
% 23.63/23.70 Inuse: 337
% 23.63/23.70 Deleted: 7
% 23.63/23.70 Deletedinuse: 1
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 62981
% 23.63/23.70 Kept: 14624
% 23.63/23.70 Inuse: 359
% 23.63/23.70 Deleted: 8
% 23.63/23.70 Deletedinuse: 1
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 77211
% 23.63/23.70 Kept: 17019
% 23.63/23.70 Inuse: 391
% 23.63/23.70 Deleted: 11
% 23.63/23.70 Deletedinuse: 1
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 89306
% 23.63/23.70 Kept: 19640
% 23.63/23.70 Inuse: 420
% 23.63/23.70 Deleted: 15
% 23.63/23.70 Deletedinuse: 1
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying clauses:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 106431
% 23.63/23.70 Kept: 21974
% 23.63/23.70 Inuse: 466
% 23.63/23.70 Deleted: 247
% 23.63/23.70 Deletedinuse: 2
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 118914
% 23.63/23.70 Kept: 23997
% 23.63/23.70 Inuse: 481
% 23.63/23.70 Deleted: 248
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 137217
% 23.63/23.70 Kept: 26001
% 23.63/23.70 Inuse: 492
% 23.63/23.70 Deleted: 248
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 148851
% 23.63/23.70 Kept: 28081
% 23.63/23.70 Inuse: 521
% 23.63/23.70 Deleted: 248
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 163753
% 23.63/23.70 Kept: 30172
% 23.63/23.70 Inuse: 576
% 23.63/23.70 Deleted: 248
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 180763
% 23.63/23.70 Kept: 32541
% 23.63/23.70 Inuse: 611
% 23.63/23.70 Deleted: 248
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 200349
% 23.63/23.70 Kept: 34736
% 23.63/23.70 Inuse: 631
% 23.63/23.70 Deleted: 248
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 224851
% 23.63/23.70 Kept: 37603
% 23.63/23.70 Inuse: 646
% 23.63/23.70 Deleted: 248
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 236747
% 23.63/23.70 Kept: 39605
% 23.63/23.70 Inuse: 669
% 23.63/23.70 Deleted: 248
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying clauses:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 257415
% 23.63/23.70 Kept: 41700
% 23.63/23.70 Inuse: 706
% 23.63/23.70 Deleted: 434
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 269499
% 23.63/23.70 Kept: 43708
% 23.63/23.70 Inuse: 740
% 23.63/23.70 Deleted: 439
% 23.63/23.70 Deletedinuse: 3
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 292719
% 23.63/23.70 Kept: 47277
% 23.63/23.70 Inuse: 771
% 23.63/23.70 Deleted: 443
% 23.63/23.70 Deletedinuse: 4
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 302892
% 23.63/23.70 Kept: 49279
% 23.63/23.70 Inuse: 784
% 23.63/23.70 Deleted: 443
% 23.63/23.70 Deletedinuse: 4
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 324596
% 23.63/23.70 Kept: 52539
% 23.63/23.70 Inuse: 800
% 23.63/23.70 Deleted: 444
% 23.63/23.70 Deletedinuse: 4
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 339134
% 23.63/23.70 Kept: 55914
% 23.63/23.70 Inuse: 827
% 23.63/23.70 Deleted: 591
% 23.63/23.70 Deletedinuse: 151
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 23.63/23.70 Done
% 23.63/23.70
% 23.63/23.70
% 23.63/23.70 Intermediate Status:
% 23.63/23.70 Generated: 350260
% 23.63/23.70 Kept: 59023
% 23.63/23.70 Inuse: 842
% 23.63/23.70 Deleted: 591
% 23.63/23.70 Deletedinuse: 151
% 23.63/23.70
% 23.63/23.70 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying clauses:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 364556
% 32.49/32.54 Kept: 62322
% 32.49/32.54 Inuse: 862
% 32.49/32.54 Deleted: 5850
% 32.49/32.54 Deletedinuse: 151
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 383971
% 32.49/32.54 Kept: 64760
% 32.49/32.54 Inuse: 877
% 32.49/32.54 Deleted: 5850
% 32.49/32.54 Deletedinuse: 151
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 412557
% 32.49/32.54 Kept: 67004
% 32.49/32.54 Inuse: 902
% 32.49/32.54 Deleted: 5850
% 32.49/32.54 Deletedinuse: 151
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 425603
% 32.49/32.54 Kept: 69174
% 32.49/32.54 Inuse: 927
% 32.49/32.54 Deleted: 5850
% 32.49/32.54 Deletedinuse: 151
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 432503
% 32.49/32.54 Kept: 71211
% 32.49/32.54 Inuse: 934
% 32.49/32.54 Deleted: 5850
% 32.49/32.54 Deletedinuse: 151
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 438805
% 32.49/32.54 Kept: 73247
% 32.49/32.54 Inuse: 940
% 32.49/32.54 Deleted: 5850
% 32.49/32.54 Deletedinuse: 151
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 456131
% 32.49/32.54 Kept: 76601
% 32.49/32.54 Inuse: 943
% 32.49/32.54 Deleted: 5850
% 32.49/32.54 Deletedinuse: 151
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 467972
% 32.49/32.54 Kept: 78793
% 32.49/32.54 Inuse: 948
% 32.49/32.54 Deleted: 5865
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 479468
% 32.49/32.54 Kept: 80991
% 32.49/32.54 Inuse: 952
% 32.49/32.54 Deleted: 5881
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying clauses:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 491836
% 32.49/32.54 Kept: 83000
% 32.49/32.54 Inuse: 962
% 32.49/32.54 Deleted: 8249
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 520888
% 32.49/32.54 Kept: 86303
% 32.49/32.54 Inuse: 988
% 32.49/32.54 Deleted: 8249
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 536502
% 32.49/32.54 Kept: 90461
% 32.49/32.54 Inuse: 1011
% 32.49/32.54 Deleted: 8249
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 551638
% 32.49/32.54 Kept: 92472
% 32.49/32.54 Inuse: 1022
% 32.49/32.54 Deleted: 8249
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 569099
% 32.49/32.54 Kept: 94616
% 32.49/32.54 Inuse: 1037
% 32.49/32.54 Deleted: 8249
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 584873
% 32.49/32.54 Kept: 97819
% 32.49/32.54 Inuse: 1052
% 32.49/32.54 Deleted: 8249
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 611390
% 32.49/32.54 Kept: 100621
% 32.49/32.54 Inuse: 1062
% 32.49/32.54 Deleted: 8249
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying clauses:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 627866
% 32.49/32.54 Kept: 102705
% 32.49/32.54 Inuse: 1072
% 32.49/32.54 Deleted: 8296
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 654628
% 32.49/32.54 Kept: 105497
% 32.49/32.54 Inuse: 1082
% 32.49/32.54 Deleted: 8296
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 669321
% 32.49/32.54 Kept: 108464
% 32.49/32.54 Inuse: 1097
% 32.49/32.54 Deleted: 8296
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 682654
% 32.49/32.54 Kept: 110765
% 32.49/32.54 Inuse: 1112
% 32.49/32.54 Deleted: 8296
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 694444
% 32.49/32.54 Kept: 113282
% 32.49/32.54 Inuse: 1127
% 32.49/32.54 Deleted: 8296
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 702092
% 32.49/32.54 Kept: 116008
% 32.49/32.54 Inuse: 1132
% 32.49/32.54 Deleted: 8296
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 711589
% 32.49/32.54 Kept: 118126
% 32.49/32.54 Inuse: 1147
% 32.49/32.54 Deleted: 8296
% 32.49/32.54 Deletedinuse: 152
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 724104
% 32.49/32.54 Kept: 120147
% 32.49/32.54 Inuse: 1167
% 32.49/32.54 Deleted: 8297
% 32.49/32.54 Deletedinuse: 153
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying clauses:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 737458
% 32.49/32.54 Kept: 122264
% 32.49/32.54 Inuse: 1187
% 32.49/32.54 Deleted: 8327
% 32.49/32.54 Deletedinuse: 153
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 743953
% 32.49/32.54 Kept: 124395
% 32.49/32.54 Inuse: 1190
% 32.49/32.54 Deleted: 8327
% 32.49/32.54 Deletedinuse: 153
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 749650
% 32.49/32.54 Kept: 126536
% 32.49/32.54 Inuse: 1191
% 32.49/32.54 Deleted: 8327
% 32.49/32.54 Deletedinuse: 153
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 769120
% 32.49/32.54 Kept: 129475
% 32.49/32.54 Inuse: 1207
% 32.49/32.54 Deleted: 8328
% 32.49/32.54 Deletedinuse: 154
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 788479
% 32.49/32.54 Kept: 132004
% 32.49/32.54 Inuse: 1222
% 32.49/32.54 Deleted: 8328
% 32.49/32.54 Deletedinuse: 154
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 797259
% 32.49/32.54 Kept: 134336
% 32.49/32.54 Inuse: 1232
% 32.49/32.54 Deleted: 8328
% 32.49/32.54 Deletedinuse: 154
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 810809
% 32.49/32.54 Kept: 137462
% 32.49/32.54 Inuse: 1242
% 32.49/32.54 Deleted: 8328
% 32.49/32.54 Deletedinuse: 154
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 Intermediate Status:
% 32.49/32.54 Generated: 823794
% 32.49/32.54 Kept: 140095
% 32.49/32.54 Inuse: 1257
% 32.49/32.54 Deleted: 8328
% 32.49/32.54 Deletedinuse: 154
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying inuse:
% 32.49/32.54 Done
% 32.49/32.54
% 32.49/32.54 Resimplifying clauses:
% 32.49/32.54
% 32.49/32.54 Bliksems!, er is een bewijs:
% 32.49/32.54 % SZS status Unsatisfiable
% 32.49/32.54 % SZS output start Refutation
% 32.49/32.54
% 32.49/32.54 clause( 288, [ =( 'v_i____', 'v_n____' ) ] )
% 32.49/32.54 .
% 32.49/32.54 clause( 297, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 32.49/32.54 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 32.49/32.54 .
% 32.49/32.54 clause( 305, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W
% 32.49/32.54 , U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 32.49/32.54 .
% 32.49/32.54 clause( 315, [ =( 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 32.49/32.54 'tc_Lambda_OdB' ), 'v_rs____' ) ] )
% 32.49/32.54 .
% 32.49/32.54 clause( 325, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 32.49/32.54 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 32.49/32.54 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ) ), 'v_a____'
% 32.49/32.54 ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ) ] )
% 32.49/32.54 .
% 32.49/32.54 clause( 127702, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), 'v_a____' ),
% 32.49/32.54 'v_as____', Z, 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( X, Y, 'v_rs____', Z,
% 32.49/32.54 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 .
% 32.49/32.54 clause( 141409, [] )
% 32.49/32.54 .
% 32.49/32.54
% 32.49/32.54
% 32.49/32.54 % SZS output end Refutation
% 32.49/32.54 found a proof!
% 32.49/32.54
% 32.49/32.54 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 32.49/32.54
% 32.49/32.54 initialclauses(
% 32.49/32.54 [ clause( 141411, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 32.49/32.54 'c_List_Olistsum'( Y, X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X
% 32.49/32.54 ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ] )
% 32.49/32.54 , clause( 141412, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 32.49/32.54 'tc_nat' ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 32.49/32.54 , clause( 141413, [ 'c_Type_Otyping'( X, Y,
% 32.49/32.54 'c_Type_Osko__Type__Xtypes__snocE__1__2'( Z, X, Y, T ) ), ~(
% 32.49/32.54 'c_Type_Otypings'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 32.49/32.54 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 32.49/32.54 'tc_Lambda_OdB' ), Z ) ) ] )
% 32.49/32.54 , clause( 141414, [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 32.49/32.54 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141415, [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ),
% 32.49/32.54 'c_List_Olist_ONil'( X ) ) ] )
% 32.49/32.54 , clause( 141416, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 32.49/32.54 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ] )
% 32.49/32.54 , clause( 141417, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ] )
% 32.49/32.54 , clause( 141418, [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 32.49/32.54 ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 32.49/32.54 , clause( 141419, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 32.49/32.54 'c_List_Oreplicate'( T, U, Z ) ) ), =( Y, U ), =( X,
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141420, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) )
% 32.49/32.54 ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 32.49/32.54 , clause( 141421, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), X, Y ), 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), Z, Y ) ) ] )
% 32.49/32.54 , clause( 141422, [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 32.49/32.54 , Y ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141423, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 32.49/32.54 ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z
% 32.49/32.54 ) ) ), =( Y, Z ) ] )
% 32.49/32.54 , clause( 141424, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 32.49/32.54 ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y
% 32.49/32.54 ) ) ), =( X, Z ) ] )
% 32.49/32.54 , clause( 141425, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 32.49/32.54 ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z
% 32.49/32.54 ) ) ), =( Y, Z ) ] )
% 32.49/32.54 , clause( 141426, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Predicate_Oconversep'( X, Y, Y ), Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 32.49/32.54 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), T ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141427, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 32.49/32.54 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( 'c_Predicate_Oconversep'( X, Y, Y ), Y
% 32.49/32.54 ), T ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141428, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 32.49/32.54 , clause( 141429, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z )
% 32.49/32.54 , T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 32.49/32.54 , clause( 141430, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Predicate_Oconversep'( X, T, U ), Z ), Y ) ) ) ] )
% 32.49/32.54 , clause( 141431, [ hBOOL( hAPP( hAPP( 'c_Predicate_Oconversep'( X, Y, Z )
% 32.49/32.54 , T ), U ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ) ] )
% 32.49/32.54 , clause( 141432, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 32.49/32.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141433, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 32.49/32.54 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141434, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141435, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 32.49/32.54 'c_List_Olist_ONil'( X ) ) ] )
% 32.49/32.54 , clause( 141436, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 32.49/32.54 'c_List_Oreplicate'( T, U, Z ) ) ), =( X, T ) ] )
% 32.49/32.54 , clause( 141437, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ), ~(
% 32.49/32.54 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 32.49/32.54 , clause( 141438, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~(
% 32.49/32.54 'c_Wellfounded_Oaccp'( X, T, Z ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( X, Z ), Y ), T ) ) ) ] )
% 32.49/32.54 , clause( 141439, [ 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB'
% 32.49/32.54 ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 32.49/32.54 , clause( 141440, [ hBOOL( hAPP( 'c_InductTermi_OIT', X ) ), ~(
% 32.49/32.54 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141441, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y
% 32.49/32.54 ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 32.49/32.54 , clause( 141442, [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ] )
% 32.49/32.54 , clause( 141443, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 32.49/32.54 , clause( 141444, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 32.49/32.54 , clause( 141445, [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141446, [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141447, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141448, [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141449, [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141450, [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 32.49/32.54 X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141451, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 32.49/32.54 ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T
% 32.49/32.54 ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( X, T, 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141452, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 32.49/32.54 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 32.49/32.54 , clause( 141453, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 32.49/32.54 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 32.49/32.54 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 32.49/32.54 , clause( 141454, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 32.49/32.54 ), X ), Y ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141455, [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141456, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 32.49/32.54 ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141457, [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 32.49/32.54 ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141458, [ =( 'c_Predicate_Oconversep'( 'c_fequal'( X ), X, X ),
% 32.49/32.54 'c_fequal'( X ) ) ] )
% 32.49/32.54 , clause( 141459, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate1'( X, Y
% 32.49/32.54 ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X,
% 32.49/32.54 'tc_List_Olist'( Y ) ) ) ] )
% 32.49/32.54 , clause( 141460, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oappend'( X, Y,
% 32.49/32.54 Z ), 'tc_List_Olist'( Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 'tc_nat' ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ) ),
% 32.49/32.54 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ) ] )
% 32.49/32.54 , clause( 141461, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 32.49/32.54 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 32.49/32.54 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141462, [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141463, [ =( 'c_List_Oreplicate'( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, T ),
% 32.49/32.54 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z, T ), 'c_List_Oreplicate'( Y
% 32.49/32.54 , Z, T ), T ) ) ] )
% 32.49/32.54 , clause( 141464, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) )
% 32.49/32.54 , =( X, Z ) ] )
% 32.49/32.54 , clause( 141465, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 32.49/32.54 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141466, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X,
% 32.49/32.54 Y, Z ), 'tc_List_Olist'( Z ) ), X ) ] )
% 32.49/32.54 , clause( 141467, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) )
% 32.49/32.54 ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 32.49/32.54 , clause( 141468, [ =( 'c_Predicate_Oconversep'( 'c_Predicate_Oconversep'(
% 32.49/32.54 X, Y, Z ), Z, Y ), X ) ] )
% 32.49/32.54 , clause( 141469, [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141470, [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141471, [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141472, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 32.49/32.54 , Z ), Y ), 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141473, [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141474, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 32.49/32.54 'c_List_Olist_ONil'( X ) ) ] )
% 32.49/32.54 , clause( 141475, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'(
% 32.49/32.54 'c_List_Olist_ONil'( X ), X ) ) ] )
% 32.49/32.54 , clause( 141476, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ),
% 32.49/32.54 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 32.49/32.54 ) ) ) ] )
% 32.49/32.54 , clause( 141477, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 32.49/32.54 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 32.49/32.54 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ] )
% 32.49/32.54 , clause( 141478, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 X, Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 32.49/32.54 , clause( 141479, [ 'c_Wellfounded_Oaccp'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 X, Y ), T ) ) ), ~( 'c_Wellfounded_Oaccp'( X, T, Z ) ) ] )
% 32.49/32.54 , clause( 141480, [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ),
% 32.49/32.54 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y
% 32.49/32.54 ), Y ), X ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 32.49/32.54 , clause( 141481, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 32.49/32.54 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 32.49/32.54 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 32.49/32.54 , clause( 141482, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 32.49/32.54 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 32.49/32.54 , clause( 141483, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 32.49/32.54 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141484, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 32.49/32.54 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 32.49/32.54 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 32.49/32.54 , clause( 141485, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 32.49/32.54 'c_List_Olistsum'( 'c_List_Olist_ONil'( X ), X ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 32.49/32.54 , clause( 141486, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 32.49/32.54 'c_List_Olistsum'( 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ] )
% 32.49/32.54 , clause( 141487, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 32.49/32.54 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141488, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 32.49/32.54 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141489, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141490, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 32.49/32.54 , clause( 141491, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X )
% 32.49/32.54 , 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141492, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ] )
% 32.49/32.54 , clause( 141493, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 32.49/32.54 ) ) ] )
% 32.49/32.54 , clause( 141494, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y
% 32.49/32.54 , Z, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141495, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 32.49/32.54 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 32.49/32.54 'c_List_Olist_ONil'( Y ) ) ] )
% 32.49/32.54 , clause( 141496, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 32.49/32.54 'c_List_Olistsum'( 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_List_Olistsum'( Y, X ) ),
% 32.49/32.54 'c_List_Olistsum'( Z, X ) ) ) ] )
% 32.49/32.54 , clause( 141497, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 32.49/32.54 ), 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y )
% 32.49/32.54 , Y ) ) ] )
% 32.49/32.54 , clause( 141498, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 32.49/32.54 , 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141499, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_OCons'( X,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 32.49/32.54 , clause( 141500, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y )
% 32.49/32.54 , Y ), 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 32.49/32.54 , clause( 141501, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 32.49/32.54 , clause( 141502, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 32.49/32.54 , clause( 141503, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ), Y ), X ) ] )
% 32.49/32.54 , clause( 141504, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ),
% 32.49/32.54 Z ), 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141505, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 32.49/32.54 T, U, Z ) ) ), =( 'c_List_Oappend'(
% 32.49/32.54 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 32.49/32.54 ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 32.49/32.54 , clause( 141506, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 32.49/32.54 T, U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 32.49/32.54 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 32.49/32.54 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 32.49/32.54 , clause( 141507, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 32.49/32.54 T, U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 32.49/32.54 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 32.49/32.54 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 32.49/32.54 , clause( 141508, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 32.49/32.54 T, U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 32.49/32.54 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 32.49/32.54 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 32.49/32.54 , clause( 141509, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 32.49/32.54 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 32.49/32.54 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141510, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Obutlast'( X, Y ) ) ] )
% 32.49/32.54 , clause( 141511, [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 32.49/32.54 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141512, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 32.49/32.54 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 32.49/32.54 , clause( 141513, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z )
% 32.49/32.54 , 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141514, [ ~( 'c_HOL_Oord__class_Oless'(
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Nat_Osize__class_Osize'(
% 32.49/32.54 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141515, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 32.49/32.54 T, U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 32.49/32.54 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 32.49/32.54 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141516, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 32.49/32.54 T, U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 32.49/32.54 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 32.49/32.54 ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141517, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 32.49/32.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141518, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 32.49/32.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141519, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 32.49/32.54 T, U, Z ) ) ), =( 'c_List_Oappend'(
% 32.49/32.54 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 32.49/32.54 ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141520, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 32.49/32.54 T, U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 32.49/32.54 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 32.49/32.54 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141521, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 32.49/32.54 , 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 32.49/32.54 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141522, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 32.49/32.54 , Y ) ) ), =( X, 'c_List_Oappend'( 'c_List_Orev'( T, Y ),
% 32.49/32.54 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ] )
% 32.49/32.54 , clause( 141523, [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y
% 32.49/32.54 ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 32.49/32.54 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 32.49/32.54 , clause( 141524, [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ),
% 32.49/32.54 Z ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z
% 32.49/32.54 ), Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141525, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 32.49/32.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 32.49/32.54 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141526, [ ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ) ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) )
% 32.49/32.54 , ~( 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB' ) ),
% 32.49/32.54 'c_Wellfounded_Oaccp'( 'c_Predicate_Oconversep'( 'c_Lambda_Obeta',
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 32.49/32.54 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 32.49/32.54 , clause( 141527, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 32.49/32.54 'c_List_Olistsum'( Y, X ), 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X
% 32.49/32.54 ), Y, 'c_HOL_Ozero__class_Ozero'( X ), X, X ) ) ] )
% 32.49/32.54 , clause( 141528, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z )
% 32.49/32.54 , 'c_Lambda_OdB_OVar'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 32.49/32.54 , Y ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141529, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 32.49/32.54 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 32.49/32.54 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 32.49/32.54 , clause( 141530, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 32.49/32.54 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 32.49/32.54 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141531, [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 32.49/32.54 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 32.49/32.54 'tc_Lambda_OdB' ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP(
% 32.49/32.54 hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 32.49/32.54 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 32.49/32.54 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141532, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 32.49/32.54 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 32.49/32.54 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141533, [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 32.49/32.54 hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 32.49/32.54 ) ) ), =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 32.49/32.54 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 32.49/32.54 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 32.49/32.54 , 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141534, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ) ) ), =( T, 'c_List_Oappend'(
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 32.49/32.54 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 32.49/32.54 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 32.49/32.54 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141535, [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 32.49/32.54 , 'c_Lambda_OdB_OAbs'(
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ] )
% 32.49/32.54 , clause( 141536, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 32.49/32.54 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 32.49/32.54 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 32.49/32.54 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 32.49/32.54 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 32.49/32.54 , clause( 141537, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X
% 32.49/32.54 , T, Z ) ) ), =( Y, T ) ] )
% 32.49/32.54 , clause( 141538, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 32.49/32.54 , Y, Z ) ) ), =( X, T ) ] )
% 32.49/32.54 , clause( 141539, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 32.49/32.54 , clause( 141540, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ),
% 32.49/32.54 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, T, U ),
% 32.49/32.54 'c_List_Olist_OCons'( Z, T, U ), U ) ] )
% 32.49/32.54 , clause( 141541, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 32.49/32.54 'c_List_Olist_OCons'( Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141542, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'(
% 32.49/32.54 X, Y, Z ) ), 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Lambda_Obeta', X ), T ) ) ) ] )
% 32.49/32.54 , clause( 141543, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z,
% 32.49/32.54 'c_Lambda_OdB_OAbs'( T ), U ), hAPP( Z, T ) ) ] )
% 32.49/32.54 , clause( 141544, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 32.49/32.54 'c_List_Oappend'( T, Y, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141545, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 32.49/32.54 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141546, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z )
% 32.49/32.54 , 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X
% 32.49/32.54 , 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141547, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ),
% 32.49/32.54 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 32.49/32.54 ), Y ) ) ) ] )
% 32.49/32.54 , clause( 141548, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ua______' ) ) ] )
% 32.49/32.54 , clause( 141549, [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ),
% 32.49/32.54 'c_List_Oappend'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141550, [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ),
% 32.49/32.54 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z
% 32.49/32.54 , U, T ), T ) ] )
% 32.49/32.54 , clause( 141551, [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X
% 32.49/32.54 , 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z )
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141552, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 32.49/32.54 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 32.49/32.54 , clause( 141553, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 32.49/32.54 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 32.49/32.54 , clause( 141554, [ ~( 'class_Orderings_Oorder'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 32.49/32.54 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 32.49/32.54 , clause( 141555, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 X ), Y ), Z ) ), T ) ) ] )
% 32.49/32.54 , clause( 141556, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 32.49/32.54 , clause( 141557, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 32.49/32.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 32.49/32.54 , clause( 141558, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 32.49/32.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 32.49/32.54 , clause( 141559, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 32.49/32.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 32.49/32.54 , clause( 141560, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 X ), Y ), Z ) ), T ) ) ] )
% 32.49/32.54 , clause( 141561, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 X ), Y ), T ) ), Z ) ) ] )
% 32.49/32.54 , clause( 141562, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 32.49/32.54 , clause( 141563, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 32.49/32.54 , clause( 141564, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141565, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141566, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 32.49/32.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ] )
% 32.49/32.54 , clause( 141567, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 32.49/32.54 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ] )
% 32.49/32.54 , clause( 141568, [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_ONil'( Y ), Z, Y,
% 32.49/32.54 T ), Z ) ] )
% 32.49/32.54 , clause( 141569, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'(
% 32.49/32.54 X, T, U, W ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T,
% 32.49/32.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( W ), W ), W ),
% 32.49/32.54 'c_List_Oappend'( U, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 32.49/32.54 ), W ), W ) ) ] )
% 32.49/32.54 , clause( 141570, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 32.49/32.54 ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 32.49/32.54 , clause( 141571, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 32.49/32.54 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141572, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 32.49/32.54 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141573, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 32.49/32.54 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 32.49/32.54 'tc_Lambda_OdB' ), Y ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141574, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 32.49/32.54 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 32.49/32.54 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141575, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 32.49/32.54 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ), hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldr'(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 32.49/32.54 ) ) ) ] )
% 32.49/32.54 , clause( 141576, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 32.49/32.54 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 32.49/32.54 , clause( 141577, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 32.49/32.54 ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 32.49/32.54 , clause( 141578, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 32.49/32.54 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 32.49/32.54 , clause( 141579, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 32.49/32.54 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ] )
% 32.49/32.54 , clause( 141580, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 32.49/32.54 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 32.49/32.54 , clause( 141581, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 32.49/32.54 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 32.49/32.54 , clause( 141582, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ) ] )
% 32.49/32.54 , clause( 141583, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ) ] )
% 32.49/32.54 , clause( 141584, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~(
% 32.49/32.54 'c_ListOrder_Ostep1'( Z, 'c_List_Olist_OCons'( Y, T, U ),
% 32.49/32.54 'c_List_Olist_OCons'( X, W, U ), U ) ) ] )
% 32.49/32.54 , clause( 141585, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'(
% 32.49/32.54 X ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 32.49/32.54 , clause( 141586, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 32.49/32.54 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) )
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141587, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 32.49/32.54 , Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 32.49/32.54 'tc_Lambda_OdB' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 32.49/32.54 ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141588, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_u____' ) ) ] )
% 32.49/32.54 , clause( 141589, [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z )
% 32.49/32.54 , 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 32.49/32.54 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141590, [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T
% 32.49/32.54 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), T ), Y ) ) ) ] )
% 32.49/32.54 , clause( 141591, [ =( 'c_Lambda_Osubst'( 'c_Lambda_Olift'( X, Y ), Z, Y )
% 32.49/32.54 , X ) ] )
% 32.49/32.54 , clause( 141592, [ =( 'c_Lambda_Olift'( 'c_Lambda_OdB_OVar'( X ), Y ),
% 32.49/32.54 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 32.49/32.54 ) ) ] )
% 32.49/32.54 , clause( 141593, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Olift'(
% 32.49/32.54 X, Y ) ), 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141594, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 32.49/32.54 , clause( 141595, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 32.49/32.54 , clause( 141596, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =(
% 32.49/32.54 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'(
% 32.49/32.54 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 32.49/32.54 , clause( 141597, [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 32.49/32.54 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141598, [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~(
% 32.49/32.54 'c_ListOrder_Ostep1'( Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U,
% 32.49/32.54 'c_List_Olist_ONil'( T ), T ), T ), 'c_List_Oappend'( Y,
% 32.49/32.54 'c_List_Olist_OCons'( W, 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ] )
% 32.49/32.54 , clause( 141599, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'(
% 32.49/32.54 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X ), X ) ) ] )
% 32.49/32.54 , clause( 141600, [ =( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ] )
% 32.49/32.54 , clause( 141601, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 32.49/32.54 , clause( 141602, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 32.49/32.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 X ) ), Y ), Y ) ] )
% 32.49/32.54 , clause( 141603, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 32.49/32.54 'class_Int_Onumber__ring'( X ) ), =( Y, hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141604, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 32.49/32.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 32.49/32.54 , clause( 141605, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 32.49/32.54 , Y ), Y ) ] )
% 32.49/32.54 , clause( 141606, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 32.49/32.54 ) ), Y ) ] )
% 32.49/32.54 , clause( 141607, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 32.49/32.54 , clause( 141608, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 32.49/32.54 , clause( 141609, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 32.49/32.54 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 hAPP( 'c_Lambda_Obeta', X ), Y ) ) ) ] )
% 32.49/32.54 , clause( 141610, [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~(
% 32.49/32.54 'c_OrderedGroup_Omonoid__add'( Z, X, T ) ) ] )
% 32.49/32.54 , clause( 141611, [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~(
% 32.49/32.54 'c_OrderedGroup_Omonoid__add'( Y, X, T ) ) ] )
% 32.49/32.54 , clause( 141612, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 32.49/32.54 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 32.49/32.54 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ] )
% 32.49/32.54 , clause( 141613, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 32.49/32.54 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 32.49/32.54 , clause( 141614, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 32.49/32.54 , Y ), Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141615, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 32.49/32.54 , Y ), Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141616, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 32.49/32.54 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 32.49/32.54 , clause( 141617, [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 32.49/32.54 X ) ] )
% 32.49/32.54 , clause( 141618, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 32.49/32.54 ) ) ] )
% 32.49/32.54 , clause( 141619, [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 32.49/32.54 ) ) ] )
% 32.49/32.54 , clause( 141620, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ),
% 32.49/32.54 Y ) ] )
% 32.49/32.54 , clause( 141621, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 32.49/32.54 ) ) ] )
% 32.49/32.54 , clause( 141622, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 32.49/32.54 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 32.49/32.54 , Y ), T ) ) ) ] )
% 32.49/32.54 , clause( 141623, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 32.49/32.54 , clause( 141624, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 32.49/32.54 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 32.49/32.54 , clause( 141625, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 32.49/32.54 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 32.49/32.54 , clause( 141626, [ =( 'c_List_Ofoldr'( X, 'c_List_Oappend'( Y, Z, T ), U,
% 32.49/32.54 T, W ), 'c_List_Ofoldr'( X, Y, 'c_List_Ofoldr'( X, Z, U, T, W ), T, W ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141627, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~(
% 32.49/32.54 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 32.49/32.54 'c_List_Olist_ONil'( U ), U ), U ), 'c_List_Oappend'( W,
% 32.49/32.54 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ] )
% 32.49/32.54 , clause( 141628, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 32.49/32.54 'class_Int_Onumber__ring'( X ) ), ~( =( Y, hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), =( Z,
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 32.49/32.54 , clause( 141629, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 32.49/32.54 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 32.49/32.54 ), T ) ) ) ] )
% 32.49/32.54 , clause( 141630, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ),
% 32.49/32.54 'c_Lambda_Osubst'( X, T, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 32.49/32.54 ), T ) ) ) ] )
% 32.49/32.54 , clause( 141631, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 32.49/32.54 ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 32.49/32.54 ) ) ] )
% 32.49/32.54 , clause( 141632, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 32.49/32.54 'c_List_Ofoldr'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, Y, X, X ) ) ] )
% 32.49/32.54 , clause( 141633, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 32.49/32.54 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ] )
% 32.49/32.54 , clause( 141634, [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z
% 32.49/32.54 , Y ) ) ] )
% 32.49/32.54 , clause( 141635, [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z )
% 32.49/32.54 , Z ) ) ] )
% 32.49/32.54 , clause( 141636, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 32.49/32.54 ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 32.49/32.54 ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 32.49/32.54 , clause( 141637, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 32.49/32.54 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 32.49/32.54 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 32.49/32.54 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 32.49/32.54 , clause( 141638, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 32.49/32.54 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 32.49/32.54 , clause( 141639, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 32.49/32.54 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 32.49/32.54 , clause( 141640, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 32.49/32.54 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141641, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 32.49/32.54 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ) ) ) ) ] )
% 32.49/32.54 , clause( 141642, [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z )
% 32.49/32.54 , 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X
% 32.49/32.54 , 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141643, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Olift'( X,
% 32.49/32.54 Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 32.49/32.54 , clause( 141644, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 32.49/32.54 , X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 32.49/32.54 , clause( 141645, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 32.49/32.54 , X ) ) ), =( Z, 'c_List_Olist_ONil'( X ) ) ] )
% 32.49/32.54 , clause( 141646, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y
% 32.49/32.54 ) ) ), =( X, Y ) ] )
% 32.49/32.54 , clause( 141647, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 32.49/32.54 Z ) ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141648, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 32.49/32.54 Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141649, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141650, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141651, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 32.49/32.54 , clause( 141652, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 32.49/32.54 , clause( 141653, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 32.49/32.54 , clause( 141654, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'(
% 32.49/32.54 X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ] )
% 32.49/32.54 , clause( 141655, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_Lambda_Olift'( X, Y ) ),
% 32.49/32.54 'c_Lambda_Olift'( Z, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 32.49/32.54 ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141656, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 32.49/32.54 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 32.49/32.54 , clause( 141657, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~(
% 32.49/32.54 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 32.49/32.54 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 32.49/32.54 , clause( 141658, [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP(
% 32.49/32.54 hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ) ), ~(
% 32.49/32.54 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ] )
% 32.49/32.54 , clause( 141659, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 32.49/32.54 ), =( Z, Y ) ] )
% 32.49/32.54 , clause( 141660, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141661, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 32.49/32.54 , clause( 141662, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), =( Z, Y ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141663, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 32.49/32.54 , clause( 141664, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 32.49/32.54 ), =( Z, Y ) ] )
% 32.49/32.54 , clause( 141665, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 32.49/32.54 , clause( 141666, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141667, [ ~(
% 32.49/32.54 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 32.49/32.54 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 32.49/32.54 T, X ) ) ] )
% 32.49/32.54 , clause( 141668, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 32.49/32.54 , Z, X ) ) ) ] )
% 32.49/32.54 , clause( 141669, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 32.49/32.54 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ), 'c_List_Ofoldr'(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( X ), X, X
% 32.49/32.54 ) ) ] )
% 32.49/32.54 , clause( 141670, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 32.49/32.54 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 32.49/32.54 ), W ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T,
% 32.49/32.54 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ] )
% 32.49/32.54 , clause( 141671, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141672, [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 32.49/32.54 ~( 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ] )
% 32.49/32.54 , clause( 141673, [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z,
% 32.49/32.54 'c_Lambda_OdB_OAbs'( T ), U ), hAPP( hAPP( Z, T ),
% 32.49/32.54 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ] )
% 32.49/32.54 , clause( 141674, [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), X, Y ), X ) ] )
% 32.49/32.54 , clause( 141675, [ ~( 'c_HOL_Oord__class_Oless'(
% 32.49/32.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ), 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141676, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 32.49/32.54 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141677, [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ) ), 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'(
% 32.49/32.54 'tc_nat' ) ) ) ] )
% 32.49/32.54 , clause( 141678, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 32.49/32.54 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 32.49/32.54 , clause( 141679, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z )
% 32.49/32.54 , 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 32.49/32.54 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141680, [ =( 'c_List_Ofoldr'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 32.49/32.54 , U, T, W ), hAPP( hAPP( X, Y ), 'c_List_Ofoldr'( X, Z, U, T, W ) ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141681, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 32.49/32.54 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141682, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 32.49/32.54 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141683, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( X
% 32.49/32.54 , 'c_Lambda_OdB_OVar'( Y ), Z ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 32.49/32.54 , X ) ) ) ] )
% 32.49/32.54 , clause( 141684, [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y,
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141685, [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y,
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141686, [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X,
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141687, [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y,
% 32.49/32.54 'c_List_Olist_ONil'( Z ) ) ] )
% 32.49/32.54 , clause( 141688, [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP(
% 32.49/32.54 hAPP( 'c_Type_Otype_OFun', Z ), T ) ) ), =( Y, T ) ] )
% 32.49/32.54 , clause( 141689, [ ~( =( hAPP( hAPP( 'c_Type_Otype_OFun', X ), Y ), hAPP(
% 32.49/32.54 hAPP( 'c_Type_Otype_OFun', Z ), T ) ) ), =( X, Z ) ] )
% 32.49/32.54 , clause( 141690, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 32.49/32.54 'c_List_Olist_OCons'( Y, Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141691, [ ~(
% 32.49/32.54 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 32.49/32.54 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 32.49/32.54 , clause( 141692, [ ~(
% 32.49/32.54 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 32.49/32.54 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 32.49/32.54 , clause( 141693, [ ~(
% 32.49/32.54 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ] )
% 32.49/32.54 , clause( 141694, [ ~(
% 32.49/32.54 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 32.49/32.54 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 32.49/32.54 , clause( 141695, [ ~(
% 32.49/32.54 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 32.49/32.54 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 32.49/32.54 , clause( 141696, [ ~(
% 32.49/32.54 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 32.49/32.54 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ] )
% 32.49/32.54 , clause( 141697, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 32.49/32.54 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 32.49/32.54 , clause( 141698, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 32.49/32.54 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 32.49/32.54 , clause( 141699, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP(
% 32.49/32.54 X, U ), W ) ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T
% 32.49/32.54 ), 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 32.49/32.54 , clause( 141700, [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T
% 32.49/32.54 ), 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z,
% 32.49/32.54 U, T ) ) ] )
% 32.49/32.54 , clause( 141701, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 32.49/32.54 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 32.49/32.54 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141702, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 32.49/32.54 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 32.49/32.54 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141703, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 32.49/32.54 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X ) ) ] )
% 32.49/32.54 , clause( 141704, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 32.49/32.54 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141705, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 32.49/32.54 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 32.49/32.54 , clause( 141706, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 32.49/32.54 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 32.49/32.54 , clause( 141707, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 32.49/32.54 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 32.49/32.54 , clause( 141708, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 32.49/32.54 Y, X ) ) ] )
% 32.49/32.54 , clause( 141709, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 32.49/32.54 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Transitive__Closure_Ortranclp'( X, Y ), U ), T ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 hAPP( X, Z ), U ) ) ) ] )
% 32.49/32.54 , clause( 141710, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X
% 32.49/32.54 , Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ] )
% 32.49/32.54 , clause( 141711, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 32.49/32.54 Y, X ) ) ] )
% 32.49/32.54 , clause( 141712, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 32.49/32.54 Y, X ) ) ] )
% 32.49/32.54 , clause( 141713, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 32.49/32.54 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 32.49/32.54 Y, X ) ) ] )
% 32.49/32.54 , clause( 141714, [ 'c_Type_Otyping'( 'c_Type_Oshift'( X, Y, Z,
% 32.49/32.54 'tc_Type_Otype' ), 'c_Lambda_Olift'( T, Y ), U ), ~( 'c_Type_Otyping'( X
% 32.49/32.54 , T, U ) ) ] )
% 32.49/32.54 , clause( 141715, [ hBOOL( hAPP( X,
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ) ), ~( hBOOL(
% 32.49/32.54 hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ] )
% 32.49/32.54 , clause( 141716, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U
% 32.49/32.54 ), hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 32.49/32.54 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ] )
% 32.49/32.54 , clause( 141717, [ 'c_Type_Otyping'( 'v_e____', 'v_u____', 'v_T____' ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141718, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 32.49/32.54 ), Y ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141719, [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 32.49/32.54 X ), Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X,
% 32.49/32.54 Z, T ) ), 'c_Lambda_Osubst'( Y, Z, T ) ) ) ] )
% 32.49/32.54 , clause( 141720, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y
% 32.49/32.54 ) ) ) ] )
% 32.49/32.54 , clause( 141721, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 32.49/32.54 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 32.49/32.54 , clause( 141722, [ 'c_Type_Otypings'( X, Y,
% 32.49/32.54 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, T, Y ) ), ~(
% 32.49/32.54 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141723, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y
% 32.49/32.54 ) ) ), =( X, Y ) ] )
% 32.49/32.54 , clause( 141724, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 32.49/32.54 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141725, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 32.49/32.54 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141726, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141727, [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Lambda_Obeta', T ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 32.49/32.54 , clause( 141728, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 32.49/32.54 , clause( 141729, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 32.49/32.54 , clause( 141730, [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X )
% 32.49/32.54 , Y ) ] )
% 32.49/32.54 , clause( 141731, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 32.49/32.54 hAPP( hAPP( 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X
% 32.49/32.54 , hAPP( hAPP( Z, U ), W ) ) ) ] )
% 32.49/32.54 , clause( 141732, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 32.49/32.54 hAPP( hAPP( 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X
% 32.49/32.54 , hAPP( hAPP( Z, U ), W ) ) ) ] )
% 32.49/32.54 , clause( 141733, [ 'c_Type_Otypings'( X, Y,
% 32.49/32.54 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X, T, Y ) ), ~(
% 32.49/32.54 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 32.49/32.54 , clause( 141734, [ =( X, 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 32.49/32.54 'c_Type_Osko__Type__Xvar__app__types__1__1'( Y, X, Z, T ), Y,
% 32.49/32.54 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( Z,
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), X ) ), ~( 'c_Type_Otypings'( Z, W, V0
% 32.49/32.54 ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 32.49/32.54 , Y ) ) ] )
% 32.49/32.54 , clause( 141735, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), U ), hAPP( X, U
% 32.49/32.54 ) ), ~( 'c_HOL_Oord__class_Oless'( U, Y, 'tc_nat' ) ) ] )
% 32.49/32.54 , clause( 141736, [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 32.49/32.54 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 32.49/32.54 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 32.49/32.54 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 32.49/32.54 'tc_Lambda_OdB' ), X ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141737, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'(
% 32.49/32.54 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', X ), Y ), Z ) ] )
% 32.49/32.54 , clause( 141738, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 32.49/32.54 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ] )
% 32.49/32.54 , clause( 141739, [ 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y
% 32.49/32.54 ), Z ), T ), ~( 'c_Type_Otyping'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y
% 32.49/32.54 , hAPP( hAPP( 'c_Type_Otype_OFun', U ), T ) ) ) ] )
% 32.49/32.54 , clause( 141740, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 32.49/32.54 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 32.49/32.54 , clause( 141741, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 32.49/32.54 , clause( 141742, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 32.49/32.54 , clause( 141743, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 32.49/32.54 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141744, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 32.49/32.54 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 32.49/32.54 , clause( 141745, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 32.49/32.54 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 32.49/32.54 , clause( 141746, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ), X ) ) ] )
% 32.49/32.54 , clause( 141747, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 32.49/32.54 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141748, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 32.49/32.54 ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'(
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 32.49/32.54 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 32.49/32.54 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 32.49/32.54 , clause( 141749, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141750, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 32.49/32.54 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 32.49/32.54 , clause( 141751, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 32.49/32.54 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141752, [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z,
% 32.49/32.54 'c_Lambda_OdB_OVar'( T ), U ), hAPP( X, T ) ) ] )
% 32.49/32.54 , clause( 141753, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141754, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 32.49/32.54 , clause( 141755, [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ),
% 32.49/32.54 Y ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) )
% 32.49/32.54 ), ~( 'c_Type_Otyping'( W, T, Y ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 32.49/32.54 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, Y, 'tc_Type_Otype'
% 32.49/32.54 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ] )
% 32.49/32.54 , clause( 141756, [ ~( =( 'v_T____', hAPP( hAPP( 'c_Type_Otype_OFun', X ),
% 32.49/32.54 Y ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_Osubst'( Z, T, U ) )
% 32.49/32.54 ), ~( 'c_Type_Otyping'( W, T, X ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT'
% 32.49/32.54 , T ) ) ), ~( 'c_Type_Otyping'( 'c_Type_Oshift'( W, U, X, 'tc_Type_Otype'
% 32.49/32.54 ), Z, V0 ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', Z ) ) ) ] )
% 32.49/32.54 , clause( 141757, [ =( hAPP( 'c_Type_Oshift'( X, Y, Z, T ), Y ), Z ) ] )
% 32.49/32.54 , clause( 141758, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T,
% 32.49/32.54 Z ), Y ) ] )
% 32.49/32.54 , clause( 141759, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OAbs'( Y ), hAPP(
% 32.49/32.54 hAPP( 'c_Type_Otype_OFun', Z ), T ) ), ~( 'c_Type_Otyping'(
% 32.49/32.54 'c_Type_Oshift'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 32.49/32.54 'tc_Type_Otype' ), Y, T ) ) ] )
% 32.49/32.54 , clause( 141760, [ =( 'v_n____', 'v_i____' ) ] )
% 32.49/32.54 , clause( 141761, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y
% 32.49/32.54 ) ) ) ] )
% 32.49/32.54 , clause( 141762, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'(
% 32.49/32.54 X ) ) ) ] )
% 32.49/32.54 , clause( 141763, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 32.49/32.54 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 32.49/32.54 , clause( 141764, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =(
% 32.49/32.54 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X, X ), hAPP( hAPP(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ] )
% 32.49/32.54 , clause( 141765, [ =( 'c_Lambda_Olift'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 32.49/32.54 ), Y ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Olift'( X, Z ) )
% 32.49/32.54 , 'c_Lambda_Olift'( Y, Z ) ) ) ] )
% 32.49/32.54 , clause( 141766, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_ea______',
% 32.49/32.54 'v_ia______', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____',
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_Ha______' ) ] )
% 32.49/32.54 , clause( 141767, [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'(
% 32.49/32.54 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X,
% 32.49/32.54 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ), Z ) ) ] )
% 32.49/32.54 , clause( 141768, [ 'c_Type_Otyping'( 'v_ea______', 'v_ua______', 'v_T____'
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141769, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ),
% 32.49/32.54 'c_List_Ofoldr'( 'c_Type_Otype_OFun',
% 32.49/32.54 'c_Type_Osko__Type__Xvar__app__typesE__1__1'( Z, X, Y, T ), Z,
% 32.49/32.54 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), T,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 32.49/32.54 , clause( 141770, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 32.49/32.54 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 32.49/32.54 , clause( 141771, [ 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ), ~(
% 32.49/32.54 'c_Type_Otypings'( X, Z, U ) ), ~( 'c_Type_Otyping'( X, Y,
% 32.49/32.54 'c_List_Ofoldr'( 'c_Type_Otype_OFun', U, T, 'tc_Type_Otype',
% 32.49/32.54 'tc_Type_Otype' ) ) ) ] )
% 32.49/32.54 , clause( 141772, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( Y ),
% 32.49/32.54 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 32.49/32.54 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141773, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ] )
% 32.49/32.54 , clause( 141774, [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U )
% 32.49/32.54 ), 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'(
% 32.49/32.54 Z, X, U ) ) ] )
% 32.49/32.54 , clause( 141775, [ 'c_Type_Otyping'( X, Y,
% 32.49/32.54 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, T, Y ) ), ~(
% 32.49/32.54 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', T ), Y ), Z ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141776, [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'(
% 32.49/32.54 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141777, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z,
% 32.49/32.54 'c_Lambda_OdB_OVar'( T ), U ), hAPP( X, T ) ) ] )
% 32.49/32.54 , clause( 141778, [ 'c_Type_Otypings'( X, Y,
% 32.49/32.54 'c_Type_Osko__Type__Xlist__app__typeE__1__1'( Z, X, T, Y ) ), ~(
% 32.49/32.54 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', T, Y,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 32.49/32.54 , clause( 141779, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U
% 32.49/32.54 ), W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 32.49/32.54 , clause( 141780, [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'(
% 32.49/32.54 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141781, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 32.49/32.54 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 32.49/32.54 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141782, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X
% 32.49/32.54 , Y ) ) ] )
% 32.49/32.54 , clause( 141783, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 32.49/32.54 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 32.49/32.54 , clause( 141784, [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 32.49/32.54 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 32.49/32.54 , Z, U, W ) ) ) ] )
% 32.49/32.54 , clause( 141785, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 32.49/32.54 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141786, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 32.49/32.54 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141787, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 32.49/32.54 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 32.49/32.54 , clause( 141788, [ 'c_Type_Otypings'( X, Y,
% 32.49/32.54 'c_Type_Osko__Type__Xvar__app__types__1__1'( Z, T, X, Y ) ), ~(
% 32.49/32.54 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), T ) ),
% 32.49/32.54 ~( 'c_Type_Otypings'( X, W, V0 ) ), ~( 'c_Type_Otyping'( X,
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Z ) ) ] )
% 32.49/32.54 , clause( 141789, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z
% 32.49/32.54 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141790, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y
% 32.49/32.54 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141791, [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', Y ), Z ), T ), hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_Oliftn'( X, Y, T ) ), 'c_Lambda_Oliftn'( X, Z, T ) ) ) ] )
% 32.49/32.54 , clause( 141792, [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____',
% 32.49/32.54 'v_as____', 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141793, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ) ] )
% 32.49/32.54 , clause( 141794, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 32.49/32.54 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141795, [ 'c_Type_Otyping'( X, Y, 'c_List_Ofoldr'(
% 32.49/32.54 'c_Type_Otype_OFun', 'c_Type_Osko__Type__Xlist__app__typeD__1__1'( Z, X,
% 32.49/32.54 Y, T ), Z, 'tc_Type_Otype', 'tc_Type_Otype' ) ), ~( 'c_Type_Otyping'( X,
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Y, T, 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ), Z ) ) ] )
% 32.49/32.54 , clause( 141796, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 32.49/32.54 'c_Lambda_OdB_OApp', X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP(
% 32.49/32.54 'c_InductTermi_OIT', X ) ) ) ] )
% 32.49/32.54 , clause( 141797, [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 32.49/32.54 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 32.49/32.54 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 32.49/32.54 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 32.49/32.54 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 32.49/32.54 , clause( 141798, [ ~( 'c_Type_Otyping'( X, Y, Z ) ), ~( 'c_Type_Otyping'(
% 32.49/32.54 'c_Type_Oshift'( X, T, Z, 'tc_Type_Otype' ), U, W ) ), 'c_Type_Otyping'(
% 32.49/32.54 X, 'c_Lambda_Osubst'( U, Y, T ), W ) ] )
% 32.49/32.54 , clause( 141799, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OAbs'( X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 32.49/32.54 , clause( 141800, [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 32.49/32.54 , X ), Y ), Z, T ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'(
% 32.49/32.54 X, Z, T ) ), 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ] )
% 32.49/32.54 , clause( 141801, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ),
% 32.49/32.54 W, U ), 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141802, [ 'c_Type_Otyping'( X, Y, hAPP( hAPP( 'c_Type_Otype_OFun'
% 32.49/32.54 , 'c_Type_Osko__Type__Xtyping__elims__2__1'( Z, X, Y, T ) ), Z ) ), ~(
% 32.49/32.54 'c_Type_Otyping'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), T ), Z ) ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141803, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 32.49/32.54 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 32.49/32.54 , clause( 141804, [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____',
% 32.49/32.54 'v_as____', 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.54 , clause( 141805, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_i____'
% 32.49/32.54 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.54 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 32.49/32.54 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 32.49/32.54 , clause( 141806, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 32.49/32.54 'v_i____', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.54 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 32.49/32.54 'v_n____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 32.49/32.54 ), 'v_T_H____' ) ) ] )
% 32.49/32.54 , clause( 141807, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 32.49/32.54 'class_Orderings_Opreorder'( Y ) ) ] )
% 32.49/32.54 , clause( 141808, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 32.49/32.54 'class_Orderings_Oorder'( Y ) ) ] )
% 32.49/32.54 , clause( 141809, [
% 32.49/32.54 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141810, [
% 32.49/32.54 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141811, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 32.49/32.54 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141812, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 32.49/32.54 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141813, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 32.49/32.54 ) ] )
% 32.49/32.54 , clause( 141814, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141815, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 32.49/32.54 ] )
% 32.49/32.54 , clause( 141816, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141817, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 32.49/32.54 )
% 32.49/32.54 , clause( 141818, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141819, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141820, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141821, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141822, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141823, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141824, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 32.49/32.54 , clause( 141825, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 32.49/32.55 , clause( 141826, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 32.49/32.55 , clause( 141827, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 32.49/32.55 , clause( 141828, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ),
% 32.49/32.55 Y ) ) ) ] )
% 32.49/32.55 ] ).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 eqswap(
% 32.49/32.55 clause( 142220, [ =( 'v_i____', 'v_n____' ) ] )
% 32.49/32.55 , clause( 141760, [ =( 'v_n____', 'v_i____' ) ] )
% 32.49/32.55 , 0, substitution( 0, [] )).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 subsumption(
% 32.49/32.55 clause( 288, [ =( 'v_i____', 'v_n____' ) ] )
% 32.49/32.55 , clause( 142220, [ =( 'v_i____', 'v_n____' ) ] )
% 32.49/32.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 paramod(
% 32.49/32.55 clause( 142979, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 32.49/32.55 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.55 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 32.49/32.55 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 32.49/32.55 , clause( 288, [ =( 'v_i____', 'v_n____' ) ] )
% 32.49/32.55 , 0, clause( 141770, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 32.49/32.55 'v_i____', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.55 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____',
% 32.49/32.55 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 32.49/32.55 , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 subsumption(
% 32.49/32.55 clause( 297, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 32.49/32.55 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.55 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 32.49/32.55 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 32.49/32.55 , clause( 142979, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____'
% 32.49/32.55 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.55 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 32.49/32.55 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 32.49/32.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 subsumption(
% 32.49/32.55 clause( 305, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W
% 32.49/32.55 , U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 32.49/32.55 , clause( 141779, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U
% 32.49/32.55 ), W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 32.49/32.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 32.49/32.55 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 eqswap(
% 32.49/32.55 clause( 143802, [ =( 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 32.49/32.55 'tc_Lambda_OdB' ), 'v_rs____' ) ] )
% 32.49/32.55 , clause( 141792, [ =( 'v_rs____', 'c_List_Olist_OCons'( 'v_a____',
% 32.49/32.55 'v_as____', 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.55 , 0, substitution( 0, [] )).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 subsumption(
% 32.49/32.55 clause( 315, [ =( 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 32.49/32.55 'tc_Lambda_OdB' ), 'v_rs____' ) ] )
% 32.49/32.55 , clause( 143802, [ =( 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 32.49/32.55 'tc_Lambda_OdB' ), 'v_rs____' ) ] )
% 32.49/32.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 paramod(
% 32.49/32.55 clause( 144633, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 32.49/32.55 'v_n____', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.55 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 32.49/32.55 'v_n____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 32.49/32.55 ), 'v_T_H____' ) ) ] )
% 32.49/32.55 , clause( 288, [ =( 'v_i____', 'v_n____' ) ] )
% 32.49/32.55 , 0, clause( 141806, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 32.49/32.55 'v_i____', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.55 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 32.49/32.55 'v_n____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 32.49/32.55 ), 'v_T_H____' ) ) ] )
% 32.49/32.55 , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 subsumption(
% 32.49/32.55 clause( 325, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____',
% 32.49/32.55 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 32.49/32.55 hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ) ), 'v_a____'
% 32.49/32.55 ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ) ] )
% 32.49/32.55 , clause( 144633, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 32.49/32.55 'v_n____', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.55 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 32.49/32.55 'v_n____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 32.49/32.55 ), 'v_T_H____' ) ) ] )
% 32.49/32.55 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 eqswap(
% 32.49/32.55 clause( 144635, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U )
% 32.49/32.55 , 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ) ) ] )
% 32.49/32.55 , clause( 305, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U )
% 32.49/32.55 , W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 32.49/32.55 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 32.49/32.55 :=( U, U ), :=( W, W )] )).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 paramod(
% 32.49/32.55 clause( 144636, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), 'v_a____' ),
% 32.49/32.55 'v_as____', Z, 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( X, Y, 'v_rs____', Z,
% 32.49/32.55 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.55 , clause( 315, [ =( 'c_List_Olist_OCons'( 'v_a____', 'v_as____',
% 32.49/32.55 'tc_Lambda_OdB' ), 'v_rs____' ) ] )
% 32.49/32.55 , 0, clause( 144635, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W
% 32.49/32.55 , U ), 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ) ) ]
% 32.49/32.55 )
% 32.49/32.55 , 0, 14, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ),
% 32.49/32.55 :=( Z, 'v_a____' ), :=( T, 'v_as____' ), :=( U, 'tc_Lambda_OdB' ), :=( W
% 32.49/32.55 , Z )] )).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 subsumption(
% 32.49/32.55 clause( 127702, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), 'v_a____' ),
% 32.49/32.55 'v_as____', Z, 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( X, Y, 'v_rs____', Z,
% 32.49/32.55 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.55 , clause( 144636, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), 'v_a____' )
% 32.49/32.55 , 'v_as____', Z, 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( X, Y, 'v_rs____', Z
% 32.49/32.55 , 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.55 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 32.49/32.55 permutation( 0, [ ==>( 0, 0 )] ) ).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 paramod(
% 32.49/32.55 clause( 144639, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 32.49/32.55 'v_n____', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.55 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____',
% 32.49/32.55 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ) ] )
% 32.49/32.55 , clause( 127702, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), 'v_a____' )
% 32.49/32.55 , 'v_as____', Z, 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( X, Y, 'v_rs____', Z
% 32.49/32.55 , 'tc_Lambda_OdB' ) ) ] )
% 32.49/32.55 , 0, clause( 325, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 32.49/32.55 'v_n____', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.55 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 32.49/32.55 'v_n____' ) ), 'v_a____' ), 'v_as____', 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 32.49/32.55 ), 'v_T_H____' ) ) ] )
% 32.49/32.55 , 0, 7, substitution( 0, [ :=( X, 'c_Lambda_OdB_OApp' ), :=( Y,
% 32.49/32.55 'c_Lambda_OdB_OVar'( 'v_n____' ) ), :=( Z, 'tc_Lambda_OdB' )] ),
% 32.49/32.55 substitution( 1, [] )).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 resolution(
% 32.49/32.55 clause( 144640, [] )
% 32.49/32.55 , clause( 144639, [ ~( 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____',
% 32.49/32.55 'v_n____', 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'(
% 32.49/32.55 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____',
% 32.49/32.55 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'v_T_H____' ) ) ] )
% 32.49/32.55 , 0, clause( 297, [ 'c_Type_Otyping'( 'c_Type_Oshift'( 'v_e____', 'v_n____'
% 32.49/32.55 , 'v_T____', 'tc_Type_Otype' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 32.49/32.55 'c_Lambda_OdB_OVar'( 'v_n____' ), 'v_rs____', 'tc_Lambda_OdB',
% 32.49/32.55 'tc_Lambda_OdB' ), 'v_T_H____' ) ] )
% 32.49/32.55 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 subsumption(
% 32.49/32.55 clause( 141409, [] )
% 32.49/32.55 , clause( 144640, [] )
% 32.49/32.55 , substitution( 0, [] ), permutation( 0, [] ) ).
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 end.
% 32.49/32.55
% 32.49/32.55 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 32.49/32.55
% 32.49/32.55 Memory use:
% 32.49/32.55
% 32.49/32.55 space for terms: 3817927
% 32.49/32.55 space for clauses: 6711651
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 clauses generated: 830802
% 32.49/32.55 clauses kept: 141410
% 32.49/32.55 clauses selected: 1267
% 32.49/32.55 clauses deleted: 8615
% 32.49/32.55 clauses inuse deleted: 154
% 32.49/32.55
% 32.49/32.55 subsentry: 5385785
% 32.49/32.55 literals s-matched: 3425316
% 32.49/32.55 literals matched: 3131222
% 32.49/32.55 full subsumption: 2320340
% 32.49/32.55
% 32.49/32.55 checksum: 2140763045
% 32.49/32.55
% 32.49/32.55
% 32.49/32.55 Bliksem ended
%------------------------------------------------------------------------------