TSTP Solution File: SWW471+6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW471+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : Wed Jul 20 23:22:14 EDT 2022
% Result : Timeout 300.01s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWW471+6 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 5 00:14:25 EDT 2022
% 0.18/0.33 % CPUTime :
% 1.46/1.83 *** allocated 10000 integers for termspace/termends
% 1.46/1.83 *** allocated 10000 integers for clauses
% 1.46/1.83 *** allocated 10000 integers for justifications
% 1.46/1.83 *** allocated 15000 integers for termspace/termends
% 1.46/1.83 *** allocated 22500 integers for termspace/termends
% 1.46/1.83 *** allocated 33750 integers for termspace/termends
% 1.46/1.83 *** allocated 50625 integers for termspace/termends
% 1.46/1.83 Bliksem 1.12
% 1.46/1.83
% 1.46/1.83
% 1.46/1.83 Automatic Strategy Selection
% 1.46/1.83
% 1.46/1.83 *** allocated 75937 integers for termspace/termends
% 1.46/1.83 *** allocated 113905 integers for termspace/termends
% 1.46/1.83 *** allocated 170857 integers for termspace/termends
% 1.46/1.83
% 1.46/1.83 Clauses:
% 1.46/1.83
% 1.46/1.83 { ti( fun( fun( X, fun( X, X ) ), fun( X, fun( fun( fun( Y, X ), fun( fun(
% 1.46/1.83 Y, bool ), X ) ), bool ) ) ), big_comm_monoid_big( X, Y ) ) =
% 1.46/1.83 big_comm_monoid_big( X, Y ) }.
% 1.46/1.83 { ! lattice( X ), ti( fun( fun( X, bool ), X ), big_lattice_Inf_fin( X ) )
% 1.46/1.83 = big_lattice_Inf_fin( X ) }.
% 1.46/1.83 { ! lattice( X ), ti( fun( fun( X, bool ), X ), big_lattice_Sup_fin( X ) )
% 1.46/1.83 = big_lattice_Sup_fin( X ) }.
% 1.46/1.83 { ti( fun( fun( X, Y ), fun( fun( Z, X ), fun( Z, Y ) ) ), combb( X, Y, Z )
% 1.46/1.83 ) = combb( X, Y, Z ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( Y, Z ) ), fun( Y, fun( X, Z ) ) ), combc( X, Y, Z )
% 1.46/1.83 ) = combc( X, Y, Z ) }.
% 1.46/1.83 { ti( fun( X, X ), combi( X ) ) = combi( X ) }.
% 1.46/1.83 { ti( fun( X, fun( Y, X ) ), combk( X, Y ) ) = combk( X, Y ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( Y, Z ) ), fun( fun( X, Y ), fun( X, Z ) ) ), combs
% 1.46/1.83 ( X, Y, Z ) ) = combs( X, Y, Z ) }.
% 1.46/1.83 { ti( fun( pname, option( com ) ), body_1 ) = body_1 }.
% 1.46/1.83 { ti( fun( pname, com ), body ) = body }.
% 1.46/1.83 { ti( fun( fun( state, bool ), fun( com, fun( com, com ) ) ), cond ) = cond
% 1.46/1.83 }.
% 1.46/1.83 { ti( com, skip ) = skip }.
% 1.46/1.83 { ti( fun( com, fun( com, com ) ), semi ) = semi }.
% 1.46/1.83 { ti( fun( fun( state, bool ), fun( com, com ) ), while ) = while }.
% 1.46/1.83 { ti( fun( com, nat ), com_size ) = com_size }.
% 1.46/1.83 { ti( fun( fun( X, bool ), nat ), finite_card( X ) ) = finite_card( X ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( Y, Y ) ), bool ), finite_comp_fun_idem( X, Y ) ) =
% 1.46/1.83 finite_comp_fun_idem( X, Y ) }.
% 1.46/1.83 { ti( fun( fun( X, bool ), bool ), finite_finite_1( X ) ) = finite_finite_1
% 1.46/1.83 ( X ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun( Y,
% 1.46/1.83 bool ), X ) ) ) ), finite_fold_image( X, Y ) ) = finite_fold_image( X, Y
% 1.46/1.83 ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( X, X ) ), fun( X, fun( fun( Y, X ), fun( fun( fun(
% 1.46/1.83 Y, bool ), X ), bool ) ) ) ), finite1357897459simple( X, Y ) ) =
% 1.46/1.83 finite1357897459simple( X, Y ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( X, X ) ), fun( X, fun( fun( Y, X ), fun( fun( fun(
% 1.46/1.83 Y, bool ), X ), bool ) ) ) ), finite908156982e_idem( X, Y ) ) =
% 1.46/1.83 finite908156982e_idem( X, Y ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( X, X ) ), fun( fun( fun( X, bool ), X ), bool ) ),
% 1.46/1.83 finite_folding_one( X ) ) = finite_folding_one( X ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( X, X ) ), fun( fun( fun( X, bool ), X ), bool ) ),
% 1.46/1.83 finite2073411215e_idem( X ) ) = finite2073411215e_idem( X ) }.
% 1.46/1.83 { ! minus( X ), ti( fun( X, fun( X, X ) ), minus_minus( X ) ) = minus_minus
% 1.46/1.83 ( X ) }.
% 1.46/1.83 { ! one( X ), ti( X, one_one( X ) ) = one_one( X ) }.
% 1.46/1.83 { ! cancel_semigroup_add( X ), ti( fun( X, fun( X, X ) ), plus_plus( X ) )
% 1.46/1.83 = plus_plus( X ) }.
% 1.46/1.83 { ! ab_semigroup_add( X ), ti( fun( X, fun( X, X ) ), plus_plus( X ) ) =
% 1.46/1.83 plus_plus( X ) }.
% 1.46/1.83 { ! monoid_add( X ), ti( fun( X, fun( X, X ) ), plus_plus( X ) ) =
% 1.46/1.83 plus_plus( X ) }.
% 1.46/1.83 { ! ab_semigroup_mult( X ), ti( fun( X, fun( X, X ) ), times_times( X ) ) =
% 1.46/1.83 times_times( X ) }.
% 1.46/1.83 { ! zero( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }.
% 1.46/1.83 { ti( fun( fun( X, bool ), X ), the_1( X ) ) = the_1( X ) }.
% 1.46/1.83 { ti( X, undefined( X ) ) = undefined( X ) }.
% 1.46/1.83 { ti( fun( com, hoare_1656922687triple( state ) ), hoare_Mirabelle_MGT ) =
% 1.46/1.83 hoare_Mirabelle_MGT }.
% 1.46/1.83 { ti( fun( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ) ), hoare_279057269derivs( X )
% 1.46/1.83 ) = hoare_279057269derivs( X ) }.
% 1.46/1.83 { ti( fun( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ) ), hoare_2027193591valids( X
% 1.46/1.83 ) ) = hoare_2027193591valids( X ) }.
% 1.46/1.83 { ti( fun( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ) ) ) ), hoare_246368825triple( X )
% 1.46/1.83 ) = hoare_246368825triple( X ) }.
% 1.46/1.83 { ti( fun( fun( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), Y ) ) ), fun( hoare_1656922687triple( X ), Y ) ),
% 1.46/1.83 hoare_1312322281e_case( X, Y ) ) = hoare_1312322281e_case( X, Y ) }.
% 1.46/1.83 { ti( fun( fun( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), Y ) ) ), fun( hoare_1656922687triple( X ), Y ) ),
% 1.46/1.83 hoare_1632998903le_rec( X, Y ) ) = hoare_1632998903le_rec( X, Y ) }.
% 1.46/1.83 { ti( fun( fun( X, nat ), fun( hoare_1656922687triple( X ), nat ) ),
% 1.46/1.83 hoare_983366810e_size( X ) ) = hoare_983366810e_size( X ) }.
% 1.46/1.83 { ti( fun( nat, fun( hoare_1656922687triple( X ), bool ) ),
% 1.46/1.83 hoare_920331057_valid( X ) ) = hoare_920331057_valid( X ) }.
% 1.46/1.83 { ti( fun( bool, fun( X, fun( X, X ) ) ), if( X ) ) = if( X ) }.
% 1.46/1.83 { ! semilattice_inf( X ), ti( fun( X, fun( X, X ) ), semilattice_inf_inf( X
% 1.46/1.83 ) ) = semilattice_inf_inf( X ) }.
% 1.46/1.83 { ! semilattice_sup( X ), ti( fun( X, fun( X, X ) ), semilattice_sup_sup( X
% 1.46/1.83 ) ) = semilattice_sup_sup( X ) }.
% 1.46/1.83 { ti( fun( nat, nat ), suc ) = suc }.
% 1.46/1.83 { ti( fun( X, fun( fun( nat, X ), fun( nat, X ) ) ), nat_case( X ) ) =
% 1.46/1.83 nat_case( X ) }.
% 1.46/1.83 { ti( fun( com, nat ), size_size( com ) ) = size_size( com ) }.
% 1.46/1.83 { ti( fun( hoare_1656922687triple( X ), nat ), size_size(
% 1.46/1.83 hoare_1656922687triple( X ) ) ) = size_size( hoare_1656922687triple( X )
% 1.46/1.83 ) }.
% 1.46/1.83 { ti( fun( com, fun( state, fun( state, bool ) ) ), evalc ) = evalc }.
% 1.46/1.83 { ti( fun( com, fun( state, fun( nat, fun( state, bool ) ) ) ), evaln ) =
% 1.46/1.83 evaln }.
% 1.46/1.83 { ti( fun( option( com ), com ), the( com ) ) = the( com ) }.
% 1.46/1.83 { ! bot( X ), ti( X, bot_bot( X ) ) = bot_bot( X ) }.
% 1.46/1.83 { ti( fun( fun( X, bool ), fun( fun( X, bool ), bool ) ), powp( X ) ) =
% 1.46/1.83 powp( X ) }.
% 1.46/1.83 { ti( fun( fun( X, bool ), fun( X, bool ) ), collect( X ) ) = collect( X )
% 1.46/1.83 }.
% 1.46/1.83 { ti( fun( fun( X, Y ), fun( fun( X, bool ), fun( Y, bool ) ) ), image( X,
% 1.46/1.83 Y ) ) = image( X, Y ) }.
% 1.46/1.83 { ti( fun( X, fun( fun( X, bool ), fun( X, bool ) ) ), insert( X ) ) =
% 1.46/1.83 insert( X ) }.
% 1.46/1.83 { ti( fun( fun( X, bool ), X ), the_elem( X ) ) = the_elem( X ) }.
% 1.46/1.83 { ti( fun( fun( X, bool ), fun( fun( Y, bool ), fun( sum_sum( X, Y ), bool
% 1.46/1.83 ) ) ), sum_Plus( X, Y ) ) = sum_Plus( X, Y ) }.
% 1.46/1.83 { ti( bool, fFalse ) = fFalse }.
% 1.46/1.83 { ti( fun( bool, bool ), fNot ) = fNot }.
% 1.46/1.83 { ti( bool, fTrue ) = fTrue }.
% 1.46/1.83 { ti( fun( bool, fun( bool, bool ) ), fconj ) = fconj }.
% 1.46/1.83 { ti( fun( bool, fun( bool, bool ) ), fdisj ) = fdisj }.
% 1.46/1.83 { ti( fun( X, fun( X, bool ) ), fequal( X ) ) = fequal( X ) }.
% 1.46/1.83 { ti( fun( bool, fun( bool, bool ) ), fimplies ) = fimplies }.
% 1.46/1.83 { hAPP( X, Y, ti( fun( X, Y ), Z ), T ) = hAPP( X, Y, Z, T ) }.
% 1.46/1.83 { hAPP( X, Y, Z, ti( X, T ) ) = hAPP( X, Y, Z, T ) }.
% 1.46/1.83 { ti( X, hAPP( Y, X, Z, T ) ) = hAPP( Y, X, Z, T ) }.
% 1.46/1.83 { ! hBOOL( ti( bool, X ) ), hBOOL( X ) }.
% 1.46/1.83 { ! hBOOL( X ), hBOOL( ti( bool, X ) ) }.
% 1.46/1.83 { ti( fun( X, fun( fun( X, bool ), bool ) ), member( X ) ) = member( X ) }
% 1.46/1.83 .
% 1.46/1.83 { ti( fun( hoare_1656922687triple( x_a ), bool ), g ) = g }.
% 1.46/1.83 { ti( fun( pname, fun( x_a, fun( state, bool ) ) ), p ) = p }.
% 1.46/1.83 { ti( fun( pname, bool ), procs ) = procs }.
% 1.46/1.83 { ti( fun( pname, fun( x_a, fun( state, bool ) ) ), q ) = q }.
% 1.46/1.83 { ti( nat, n ) = n }.
% 1.46/1.83 { ! hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Y
% 1.46/1.83 ), Z ), T ) = hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple
% 1.46/1.83 ( X ), hAPP( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ),
% 1.46/1.83 hoare_246368825triple( X ), U ), W ), V0 ), Y = U }.
% 1.46/1.83 { ! hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Y
% 1.46/1.83 ), Z ), T ) = hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple
% 1.46/1.83 ( X ), hAPP( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ),
% 1.46/1.83 hoare_246368825triple( X ), U ), W ), V0 ), alpha1( Z, T, W, V0 ) }.
% 1.46/1.83 { ! Y = U, ! alpha1( Z, T, W, V0 ), hAPP( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun
% 1.46/1.83 ( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) )
% 1.46/1.83 , hoare_246368825triple( X ), Y ), Z ), T ) = hAPP( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state, bool
% 1.46/1.83 ) ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple
% 1.46/1.83 ( X ) ) ), hoare_246368825triple( X ), U ), W ), V0 ) }.
% 1.46/1.83 { ! alpha1( X, Y, Z, T ), X = Z }.
% 1.46/1.83 { ! alpha1( X, Y, Z, T ), Y = T }.
% 1.46/1.83 { ! X = Z, ! Y = T, alpha1( X, Y, Z, T ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_2027193591valids( X ), Y ), Z ) ), ! alpha2( X
% 1.46/1.83 , Y, T ), alpha12( X, Z, T ) }.
% 1.46/1.83 { alpha2( X, Y, skol1( X, Y, T ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_2027193591valids( X ), Y ), Z ) ) }.
% 1.46/1.83 { ! alpha12( X, Z, skol1( X, Y, Z ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_2027193591valids( X ), Y ), Z ) ) }.
% 1.46/1.83 { ! alpha12( X, Y, Z ), ! hBOOL( hAPP( fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), bool, hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ), member(
% 1.46/1.83 hoare_1656922687triple( X ) ), T ), Y ) ), hBOOL( hAPP(
% 1.46/1.83 hoare_1656922687triple( X ), bool, hAPP( nat, fun( hoare_1656922687triple
% 1.46/1.83 ( X ), bool ), hoare_920331057_valid( X ), Z ), T ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP(
% 1.46/1.83 hoare_1656922687triple( X ), fun( fun( hoare_1656922687triple( X ), bool
% 1.46/1.83 ), bool ), member( hoare_1656922687triple( X ) ), skol2( X, Y, T ) ), Y
% 1.46/1.83 ) ), alpha12( X, Y, Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), Z ),
% 1.46/1.83 skol2( X, Y, Z ) ) ), alpha12( X, Y, Z ) }.
% 1.46/1.83 { ! alpha2( X, Y, Z ), ! hBOOL( hAPP( fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), bool, hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ), member(
% 1.46/1.83 hoare_1656922687triple( X ) ), T ), Y ) ), hBOOL( hAPP(
% 1.46/1.83 hoare_1656922687triple( X ), bool, hAPP( nat, fun( hoare_1656922687triple
% 1.46/1.83 ( X ), bool ), hoare_920331057_valid( X ), Z ), T ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP(
% 1.46/1.83 hoare_1656922687triple( X ), fun( fun( hoare_1656922687triple( X ), bool
% 1.46/1.83 ), bool ), member( hoare_1656922687triple( X ) ), skol3( X, Y, T ) ), Y
% 1.46/1.83 ) ), alpha2( X, Y, Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), Z ),
% 1.46/1.83 skol3( X, Y, Z ) ) ), alpha2( X, Y, Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), semilattice_sup_sup( fun( hoare_1656922687triple( X ), bool ) )
% 1.46/1.83 , Y ), hAPP( fun( pname, bool ), fun( hoare_1656922687triple( X ), bool )
% 1.46/1.83 , hAPP( fun( pname, hoare_1656922687triple( X ) ), fun( fun( pname, bool
% 1.46/1.83 ), fun( hoare_1656922687triple( X ), bool ) ), image( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.46/1.83 ) ) ), fun( pname, hoare_1656922687triple( X ) ), hAPP( fun( pname, fun
% 1.46/1.83 ( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), fun( fun
% 1.46/1.83 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.46/1.83 ), hoare_1656922687triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), hAPP
% 1.46/1.83 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ) ),
% 1.46/1.83 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.46/1.83 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.46/1.83 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple(
% 1.46/1.83 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.46/1.83 ( state, bool ) ), hoare_1656922687triple( X ) ) ), pname ),
% 1.46/1.83 hoare_246368825triple( X ) ), Z ) ), body ) ), T ) ), U ) ) ), hAPP( fun
% 1.46/1.83 ( pname, bool ), fun( hoare_1656922687triple( X ), bool ), hAPP( fun(
% 1.46/1.83 pname, hoare_1656922687triple( X ) ), fun( fun( pname, bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), image( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.46/1.83 ) ) ), fun( pname, hoare_1656922687triple( X ) ), hAPP( fun( pname, fun
% 1.46/1.83 ( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), fun( fun
% 1.46/1.83 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.46/1.83 ), hoare_1656922687triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), hAPP
% 1.46/1.83 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ) ),
% 1.46/1.83 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.46/1.83 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.46/1.83 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple(
% 1.46/1.83 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.46/1.83 ( state, bool ) ), hoare_1656922687triple( X ) ) ), pname ),
% 1.46/1.83 hoare_246368825triple( X ) ), Z ) ), hAPP( fun( pname, option( com ) ),
% 1.46/1.83 fun( pname, com ), hAPP( fun( option( com ), com ), fun( fun( pname,
% 1.46/1.83 option( com ) ), fun( pname, com ) ), combb( option( com ), com, pname )
% 1.46/1.83 , the( com ) ), body_1 ) ) ), T ) ), U ) ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun( pname,
% 1.46/1.83 bool ), fun( hoare_1656922687triple( X ), bool ), hAPP( fun( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ), fun( fun( pname, bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), image( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.46/1.83 ) ) ), fun( pname, hoare_1656922687triple( X ) ), hAPP( fun( pname, fun
% 1.46/1.83 ( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), fun( fun
% 1.46/1.83 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.46/1.83 ), hoare_1656922687triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), hAPP
% 1.46/1.83 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ) ),
% 1.46/1.83 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.46/1.83 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.46/1.83 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple(
% 1.46/1.83 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.46/1.83 ( state, bool ) ), hoare_1656922687triple( X ) ) ), pname ),
% 1.46/1.83 hoare_246368825triple( X ) ), Z ) ), body ) ), T ) ), U ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.46/1.83 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X
% 1.46/1.83 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ), T
% 1.46/1.83 ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.83 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.46/1.83 fun( X, bool ) ), Y ), Z ), T ) ), hBOOL( hAPP( X, bool, Y, T ) ), hBOOL
% 1.46/1.83 ( hAPP( X, bool, Z, T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Z, T ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ), T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, T ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ), T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Z ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , semilattice_sup_sup( fun( X, bool ) ), Y ), T ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Z ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , semilattice_sup_sup( fun( X, bool ) ), Y ), T ) ) ) }.
% 1.46/1.83 { ! ti( X, Z ) = hAPP( Y, X, T, U ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.46/1.83 hAPP( Y, fun( fun( Y, bool ), bool ), member( Y ), U ), W ) ), hBOOL(
% 1.46/1.83 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.83 ( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ), fun
% 1.46/1.83 ( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), W ) ) ) }.
% 1.46/1.83 { hAPP( hoare_1656922687triple( X ), Y, hAPP( fun( fun( X, fun( state, bool
% 1.46/1.83 ) ), fun( com, fun( fun( X, fun( state, bool ) ), Y ) ) ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), Y ), hoare_1632998903le_rec( X, Y ), Z ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), T
% 1.46/1.83 ), U ), W ) ) = hAPP( fun( X, fun( state, bool ) ), Y, hAPP( com, fun(
% 1.46/1.83 fun( X, fun( state, bool ) ), Y ), hAPP( fun( X, fun( state, bool ) ),
% 1.46/1.83 fun( com, fun( fun( X, fun( state, bool ) ), Y ) ), Z, T ), U ), W ) }.
% 1.46/1.83 { hAPP( hoare_1656922687triple( X ), Y, hAPP( fun( fun( X, fun( state, bool
% 1.46/1.83 ) ), fun( com, fun( fun( X, fun( state, bool ) ), Y ) ) ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), Y ), hoare_1312322281e_case( X, Y ), Z ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), T
% 1.46/1.83 ), U ), W ) ) = hAPP( fun( X, fun( state, bool ) ), Y, hAPP( com, fun(
% 1.46/1.83 fun( X, fun( state, bool ) ), Y ), hAPP( fun( X, fun( state, bool ) ),
% 1.46/1.83 fun( com, fun( fun( X, fun( state, bool ) ), Y ) ), Z, T ), U ), W ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.46/1.83 bool ), fun( Y, bool ) ), image( X, Y ), Z ), hAPP( fun( X, bool ), fun(
% 1.46/1.83 X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), T ), U ) ) = hAPP( fun( Y, bool )
% 1.46/1.83 , fun( Y, bool ), hAPP( fun( Y, bool ), fun( fun( Y, bool ), fun( Y, bool
% 1.46/1.83 ) ), semilattice_sup_sup( fun( Y, bool ) ), hAPP( fun( X, bool ), fun( Y
% 1.46/1.83 , bool ), hAPP( fun( X, Y ), fun( fun( X, bool ), fun( Y, bool ) ), image
% 1.46/1.83 ( X, Y ), Z ), T ) ), hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X
% 1.46/1.83 , Y ), fun( fun( X, bool ), fun( Y, bool ) ), image( X, Y ), Z ), U ) ) }
% 1.46/1.83 .
% 1.46/1.83 { ! lattice( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y
% 1.46/1.83 , X ), fun( fun( Y, X ), fun( Y, X ) ), semilattice_sup_sup( fun( Y, X )
% 1.46/1.83 ), Z ), T ), U ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup
% 1.46/1.83 ( X ), hAPP( Y, X, Z, U ) ), hAPP( Y, X, T, U ) ) }.
% 1.46/1.83 { ! lattice( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y
% 1.46/1.83 , X ), fun( fun( Y, X ), fun( Y, X ) ), semilattice_sup_sup( fun( Y, X )
% 1.46/1.83 ), Z ), T ), U ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup
% 1.46/1.83 ( X ), hAPP( Y, X, Z, U ) ), hAPP( Y, X, T, U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), Z ) ), ! hBOOL(
% 1.46/1.83 hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), T ), Y ) ), hBOOL( hAPP(
% 1.46/1.83 fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), T ), Z ) ) }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.46/1.83 X ), semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Z ), T ) ) }.
% 1.46/1.83 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.46/1.83 ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), Z )
% 1.46/1.83 ), T ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y )
% 1.46/1.83 , hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z ), T ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.46/1.83 X ), semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Z ), T ) ) }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), T ) ) }.
% 1.46/1.83 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.46/1.83 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z )
% 1.46/1.83 , T ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z )
% 1.46/1.83 , hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), T ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), T ) ) }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) }.
% 1.46/1.83 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.46/1.83 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y )
% 1.46/1.83 , Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y )
% 1.46/1.83 , Z ) }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Z ), Y ) }.
% 1.46/1.83 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.46/1.83 ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X )
% 1.46/1.83 , Z ), Y ) }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Z ), Y ) }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Y ) = ti( X, Y ) }.
% 1.46/1.83 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Y ) = ti( X, Y ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), ! ti( T, U ) = hAPP( X, T, W, Y ), hBOOL( hAPP
% 1.46/1.83 ( fun( T, bool ), bool, hAPP( T, fun( fun( T, bool ), bool ), member( T )
% 1.46/1.83 , U ), hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun
% 1.46/1.83 ( X, bool ), fun( T, bool ) ), image( X, T ), W ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( T, bool ), bool, hAPP( T,
% 1.46/1.83 fun( fun( T, bool ), bool ), member( T ), hAPP( X, T, U, Y ) ), hAPP( fun
% 1.46/1.83 ( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun( X, bool ), fun
% 1.46/1.83 ( T, bool ) ), image( X, T ), U ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X
% 1.46/1.83 ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ),
% 1.46/1.83 hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y, fun( fun( Y, bool ), bool ),
% 1.46/1.83 member( Y ), skol4( W, Y, V0, V1, U ) ), U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X
% 1.46/1.83 ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ),
% 1.46/1.83 ti( X, Z ) = hAPP( Y, X, T, skol4( X, Y, Z, T, U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y, fun( fun( Y, bool ), bool )
% 1.46/1.83 , member( Y ), W ), U ) ), ! ti( X, Z ) = hAPP( Y, X, T, W ), hBOOL( hAPP
% 1.46/1.83 ( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X )
% 1.46/1.83 , Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ), fun( fun
% 1.46/1.83 ( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , semilattice_sup_sup( fun( X, bool ) ), T ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), T ), Y ), Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), T ), Z ) ) }.
% 1.46/1.83 { ! alpha20( X, Y, Z, T ), alpha3( X, Y, Z ) }.
% 1.46/1.83 { ! alpha20( X, Y, Z, T ), alpha13( X, Y, T ) }.
% 1.46/1.83 { ! alpha3( X, Y, Z ), ! alpha13( X, Y, T ), alpha20( X, Y, Z, T ) }.
% 1.46/1.83 { ! alpha20( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), U ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( X,
% 1.46/1.83 bool, Y, U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, skol5( X, Y, U, W ) ) ), alpha20( X, Y, Z, T )
% 1.46/1.83 }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), skol5( X, Y, Z, T ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ), alpha20( X, Y, Z, T
% 1.46/1.83 ) }.
% 1.46/1.83 { ! alpha13( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), bool ), member( X ), T ), Z ) ), hBOOL( hAPP( X, bool, Y
% 1.46/1.83 , T ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), skol6( X, T, Z ) ), Z ) ), alpha13( X, Y, Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, skol6( X, Y, Z ) ) ), alpha13( X, Y, Z ) }.
% 1.46/1.83 { ! alpha3( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), bool ), member( X ), T ), Z ) ), hBOOL( hAPP( X, bool, Y
% 1.46/1.83 , T ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), skol7( X, T, Z ) ), Z ) ), alpha3( X, Y, Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, skol7( X, Y, Z ) ) ), alpha3( X, Y, Z ) }.
% 1.46/1.83 { ! alpha21( X, Y, Z, T ), alpha4( X, Y, Z ), alpha14( X, Y, T ) }.
% 1.46/1.83 { ! alpha4( X, Y, Z ), alpha21( X, Y, Z, T ) }.
% 1.46/1.83 { ! alpha14( X, Y, T ), alpha21( X, Y, Z, T ) }.
% 1.46/1.83 { ! alpha21( X, Y, Z, T ), hBOOL( hAPP( X, bool, Y, skol8( X, Y, U, W ) ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! alpha21( X, Y, Z, T ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.46/1.83 ( fun( X, bool ), bool ), member( X ), skol8( X, Y, Z, T ) ), hAPP( fun(
% 1.46/1.83 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), U ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.46/1.83 X, bool ) ), Z ), T ) ) ), ! hBOOL( hAPP( X, bool, Y, U ) ), alpha21( X,
% 1.46/1.83 Y, Z, T ) }.
% 1.46/1.83 { ! alpha14( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), bool ), member( X ), skol9( X, T, Z ) ), Z ) ) }.
% 1.46/1.83 { ! alpha14( X, Y, Z ), hBOOL( hAPP( X, bool, Y, skol9( X, Y, Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), T ), Z ) ), ! hBOOL( hAPP( X, bool, Y, T ) ), alpha14( X,
% 1.46/1.83 Y, Z ) }.
% 1.46/1.83 { ! alpha4( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.46/1.83 ( X, bool ), bool ), member( X ), skol10( X, T, Z ) ), Z ) ) }.
% 1.46/1.83 { ! alpha4( X, Y, Z ), hBOOL( hAPP( X, bool, Y, skol10( X, Y, Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), T ), Z ) ), ! hBOOL( hAPP( X, bool, Y, T ) ), alpha4( X, Y
% 1.46/1.83 , Z ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.46/1.83 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.83 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ), T
% 1.46/1.83 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.83 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T
% 1.46/1.83 ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.46/1.83 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X
% 1.46/1.83 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ), T
% 1.46/1.83 ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.46/1.83 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T )
% 1.46/1.83 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.83 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), T
% 1.46/1.83 ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.46/1.83 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.46/1.83 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.83 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.46/1.83 , Z ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.46/1.83 = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun(
% 1.46/1.83 X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ),
% 1.46/1.83 Y ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.46/1.83 = hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool
% 1.46/1.83 ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool
% 1.46/1.83 ), fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun(
% 1.46/1.83 X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ),
% 1.46/1.83 X ), fdisj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X
% 1.46/1.83 , fun( X, bool ), bool ), member( X ) ), Y ) ) ), hAPP( fun( X, bool ),
% 1.46/1.83 fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X )
% 1.46/1.83 ), Z ) ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Y )
% 1.46/1.83 = ti( fun( X, bool ), Y ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, X ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), image( X, X ), combi( X ) ), Y ) = ti( fun( X,
% 1.46/1.83 bool ), Y ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.46/1.83 bool ), fun( Y, bool ) ), image( X, Y ), T ), hAPP( fun( Z, bool ), fun(
% 1.46/1.83 X, bool ), hAPP( fun( Z, X ), fun( fun( Z, bool ), fun( X, bool ) ),
% 1.46/1.83 image( Z, X ), U ), W ) ) = hAPP( fun( Z, bool ), fun( Y, bool ), hAPP(
% 1.46/1.83 fun( Z, Y ), fun( fun( Z, bool ), fun( Y, bool ) ), image( Z, Y ), hAPP(
% 1.46/1.83 fun( Z, X ), fun( Z, Y ), hAPP( fun( X, Y ), fun( fun( Z, X ), fun( Z, Y
% 1.46/1.83 ) ), combb( X, Y, Z ), T ), U ) ), W ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.83 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.46/1.83 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun
% 1.46/1.83 ( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc
% 1.46/1.83 ( X, fun( X, bool ), bool ), member( X ) ), Y ) ), hAPP( fun( X, bool ),
% 1.46/1.83 fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X )
% 1.46/1.83 ), Z ) ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X
% 1.46/1.83 , bool ), bool ), member( X ), T ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.46/1.83 X, bool ) ), Y ), Z ) ) ), hBOOL( hAPP( X, bool, hAPP( fun( X, bool ),
% 1.46/1.83 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.46/1.83 ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X,
% 1.46/1.83 bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool )
% 1.46/1.83 , fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Y )
% 1.46/1.83 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( fun( X, bool
% 1.46/1.83 ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X, fun( X,
% 1.46/1.83 bool ), bool ), member( X ) ), Z ) ), T ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool )
% 1.46/1.83 , fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool )
% 1.46/1.83 , fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X
% 1.46/1.83 , fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ),
% 1.46/1.83 X ), fdisj ), Y ) ), Z ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.83 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), collect( X ), Y ) ), hAPP( fun( X, bool ), fun( X, bool ), collect( X
% 1.46/1.83 ), Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X
% 1.46/1.83 ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ),
% 1.46/1.83 hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y, fun( fun( Y, bool ), bool ),
% 1.46/1.83 member( Y ), skol11( W, Y, V0, V1, U ) ), U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X
% 1.46/1.83 ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ),
% 1.46/1.83 ti( X, Z ) = hAPP( Y, X, T, skol11( X, Y, Z, T, U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), Y ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z
% 1.46/1.83 ), hAPP( option( com ), com, the( com ), hAPP( pname, option( com ),
% 1.46/1.83 body_1, T ) ) ), U ) ) ), hBOOL( hAPP( hoare_1656922687triple( X ), bool
% 1.46/1.83 , hAPP( nat, fun( hoare_1656922687triple( X ), bool ),
% 1.46/1.83 hoare_920331057_valid( X ), hAPP( nat, nat, suc, Y ) ), hAPP( fun( X, fun
% 1.46/1.83 ( state, bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X,
% 1.46/1.83 fun( state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun(
% 1.46/1.83 state, bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), hAPP(
% 1.46/1.83 pname, com, body, T ) ), U ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), hAPP(
% 1.46/1.83 nat, nat, suc, Y ) ), hAPP( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun
% 1.46/1.83 ( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) )
% 1.46/1.83 , hoare_246368825triple( X ), Z ), hAPP( pname, com, body, T ) ), U ) ) )
% 1.46/1.83 , hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), Y ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z
% 1.46/1.83 ), hAPP( option( com ), com, the( com ), hAPP( pname, option( com ),
% 1.46/1.83 body_1, T ) ) ), U ) ) ) }.
% 1.46/1.83 { Y = hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP
% 1.46/1.83 ( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ),
% 1.46/1.83 skol12( X, Y ) ), skol76( X, Y ) ), skol95( X, Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), semilattice_sup_sup( fun( hoare_1656922687triple( X ), bool ) )
% 1.46/1.83 , Y ), hAPP( fun( pname, bool ), fun( hoare_1656922687triple( X ), bool )
% 1.46/1.83 , hAPP( fun( pname, hoare_1656922687triple( X ) ), fun( fun( pname, bool
% 1.46/1.83 ), fun( hoare_1656922687triple( X ), bool ) ), image( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.46/1.83 ) ) ), fun( pname, hoare_1656922687triple( X ) ), hAPP( fun( pname, fun
% 1.46/1.83 ( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), fun( fun
% 1.46/1.83 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.46/1.83 ), hoare_1656922687triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), hAPP
% 1.46/1.83 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ) ),
% 1.46/1.83 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.46/1.83 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.46/1.83 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple(
% 1.46/1.83 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.46/1.83 ( state, bool ) ), hoare_1656922687triple( X ) ) ), pname ),
% 1.46/1.83 hoare_246368825triple( X ) ), Z ) ), body ) ), T ) ), U ) ) ), hAPP( fun
% 1.46/1.83 ( pname, bool ), fun( hoare_1656922687triple( X ), bool ), hAPP( fun(
% 1.46/1.83 pname, hoare_1656922687triple( X ) ), fun( fun( pname, bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), image( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.46/1.83 ) ) ), fun( pname, hoare_1656922687triple( X ) ), hAPP( fun( pname, fun
% 1.46/1.83 ( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), fun( fun
% 1.46/1.83 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 hoare_1656922687triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.46/1.83 ), hoare_1656922687triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ), hAPP
% 1.46/1.83 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) ) ),
% 1.46/1.83 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.46/1.83 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.46/1.83 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple(
% 1.46/1.83 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.46/1.83 fun( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.46/1.83 ( state, bool ) ), hoare_1656922687triple( X ) ) ), pname ),
% 1.46/1.83 hoare_246368825triple( X ) ), Z ) ), hAPP( fun( pname, option( com ) ),
% 1.46/1.83 fun( pname, com ), hAPP( fun( option( com ), com ), fun( fun( pname,
% 1.46/1.83 option( com ) ), fun( pname, com ) ), combb( option( com ), com, pname )
% 1.46/1.83 , the( com ) ), body_1 ) ) ), T ) ), U ) ) ), ! hBOOL( hAPP( fun( pname,
% 1.46/1.83 bool ), bool, hAPP( pname, fun( fun( pname, bool ), bool ), member( pname
% 1.46/1.83 ), W ), U ) ), hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ),
% 1.46/1.83 bool, hAPP( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ), hoare_279057269derivs( X ),
% 1.46/1.83 Y ), hAPP( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hAPP( hoare_1656922687triple( X ),
% 1.46/1.83 fun( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), insert( hoare_1656922687triple( X
% 1.46/1.83 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ),
% 1.46/1.83 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ),
% 1.46/1.83 hAPP( pname, fun( X, fun( state, bool ) ), Z, W ) ), hAPP( pname, com,
% 1.46/1.83 body, W ) ), hAPP( pname, fun( X, fun( state, bool ) ), T, W ) ) ),
% 1.46/1.83 bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X
% 1.46/1.83 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol13
% 1.46/1.83 ( X, Z, V0, V1, V2 ) ), Z ) ), hAPP( fun( X, bool ), fun( T, bool ), hAPP
% 1.46/1.83 ( fun( X, T ), fun( fun( X, bool ), fun( T, bool ) ), image( X, T ), U )
% 1.46/1.83 , Y ) = hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun
% 1.46/1.83 ( X, bool ), fun( T, bool ) ), image( X, T ), W ), Z ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), ! hAPP( X, T, U,
% 1.46/1.83 skol13( X, Z, T, U, W ) ) = hAPP( X, T, W, skol13( X, Z, T, U, W ) ),
% 1.46/1.83 hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun( X,
% 1.46/1.83 bool ), fun( T, bool ) ), image( X, T ), U ), Y ) = hAPP( fun( X, bool )
% 1.46/1.83 , fun( T, bool ), hAPP( fun( X, T ), fun( fun( X, bool ), fun( T, bool )
% 1.46/1.83 ), image( X, T ), W ), Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), bool ), powp( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ),
% 1.46/1.83 bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), T ), Z ) ),
% 1.46/1.83 hBOOL( hAPP( X, bool, Y, T ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), skol14( X, T, Z ) ), Z ) ), hBOOL( hAPP( fun( X, bool ),
% 1.46/1.83 bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), powp( X ), Y ),
% 1.46/1.83 Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, skol14( X, Y, Z ) ) ), hBOOL( hAPP( fun( X,
% 1.46/1.83 bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), powp( X
% 1.46/1.83 ), Y ), Z ) ) }.
% 1.46/1.83 { hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ),
% 1.46/1.83 zero_zero( nat ) ), hAPP( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun
% 1.46/1.83 ( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) )
% 1.46/1.83 , hoare_246368825triple( X ), Y ), hAPP( pname, com, body, Z ) ), T ) ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! hAPP( pname, com, body, X ) = hAPP( pname, com, body, Y ), ti( pname, X
% 1.46/1.83 ) = ti( pname, Y ) }.
% 1.46/1.83 { ! ti( pname, X ) = ti( pname, Y ), hAPP( pname, com, body, X ) = hAPP(
% 1.46/1.83 pname, com, body, Y ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, hAPP( option( com ), com, the(
% 1.46/1.83 com ), hAPP( pname, option( com ), body_1, X ) ) ), Y ), Z ) ), hBOOL(
% 1.46/1.83 hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com, fun( state
% 1.46/1.83 , fun( state, bool ) ), evalc, hAPP( pname, com, body, X ) ), Y ), Z ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, hAPP( pname, com, body, X ) ), Y
% 1.46/1.83 ), Z ) ), hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ),
% 1.46/1.83 hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP( option( com ),
% 1.46/1.83 com, the( com ), hAPP( pname, option( com ), body_1, X ) ) ), Y ), Z ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.46/1.83 ), Y ), Y ) = ti( X, Y ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) ) ), ti( X, Y ) =
% 1.46/1.83 ti( X, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X,
% 1.46/1.83 bool ), bool ), member( X ), Y ), T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Z ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.83 , Y ), T ) ) ) }.
% 1.46/1.83 { ! ti( X, Z ) = ti( X, Y ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Z ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.83 , Y ), T ) ) ) }.
% 1.46/1.83 { ! bot_bot( fun( X, bool ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.46/1.83 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) }.
% 1.46/1.83 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ) ), insert( X ), Y ), Z ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, bot_bot( fun( X, bool ) ), Y ) ), hBOOL( hAPP(
% 1.46/1.83 fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ),
% 1.46/1.83 Y ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), bot_bot( fun( X, bool ) ) ) ), hBOOL( hAPP( X, bool,
% 1.46/1.83 bot_bot( fun( X, bool ) ), Y ) ) }.
% 1.46/1.83 { bot_bot( fun( X, bool ) ) = hAPP( fun( X, bool ), fun( X, bool ), collect
% 1.46/1.83 ( X ), hAPP( bool, fun( X, bool ), combk( bool, X ), fFalse ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.46/1.83 ( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), skol15( X, Y ) ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot(
% 1.46/1.83 fun( X, bool ) ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun
% 1.46/1.83 ( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Z )
% 1.46/1.83 , Y ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( X, fun( X, bool
% 1.46/1.83 ), fequal( X ), Y ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), bot_bot( fun( X
% 1.46/1.83 , bool ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), Y ) ), ! ti( fun( X, bool ), Y ) = bot_bot( fun( X,
% 1.46/1.83 bool ) ) }.
% 1.46/1.83 { ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hBOOL( hAPP( fun( X
% 1.46/1.83 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol16
% 1.46/1.83 ( X, Y ) ), Y ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( X, fun( X, bool
% 1.46/1.83 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.46/1.83 , bool ), fequal( X ) ), Y ) ) = hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), bot_bot
% 1.46/1.83 ( fun( X, bool ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.46/1.83 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.46/1.83 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.46/1.83 ) ), combb( bool, fun( bool, bool ), X ), fconj ), hAPP( X, fun( X, bool
% 1.46/1.83 ), fequal( X ), Z ) ) ), Y ) ) = hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot
% 1.46/1.83 ( fun( X, bool ) ) ) }.
% 1.46/1.83 { hBOOL( hAPP( X, bool, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.46/1.83 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.46/1.83 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.46/1.83 ) ), combb( bool, fun( bool, bool ), X ), fconj ), hAPP( X, fun( X, bool
% 1.46/1.83 ), fequal( X ), Z ) ) ), Y ) ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.46/1.83 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.46/1.83 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.46/1.83 ) ), combb( bool, fun( bool, bool ), X ), fconj ), hAPP( X, fun( X, bool
% 1.46/1.83 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.46/1.83 , bool ), fequal( X ) ), Z ) ) ), Y ) ) = hAPP( fun( X, bool ), fun( X,
% 1.46/1.83 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z )
% 1.46/1.83 , bot_bot( fun( X, bool ) ) ) }.
% 1.46/1.83 { hBOOL( hAPP( X, bool, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.46/1.83 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.46/1.83 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.46/1.83 ) ), combb( bool, fun( bool, bool ), X ), fconj ), hAPP( X, fun( X, bool
% 1.46/1.83 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.46/1.83 , bool ), fequal( X ) ), Z ) ) ), Y ) ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.83 { ! bot_bot( fun( X, bool ) ) = hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 collect( X ), Y ), ! hBOOL( hAPP( X, bool, Y, Z ) ) }.
% 1.46/1.83 { hBOOL( hAPP( X, bool, Y, skol17( X, Y ) ) ), bot_bot( fun( X, bool ) ) =
% 1.46/1.83 hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Y ) }.
% 1.46/1.83 { ! hAPP( X, Y, Z, skol18( X, Y, Z, T ) ) = hAPP( X, Y, T, skol18( X, Y, Z
% 1.46/1.83 , T ) ), ti( fun( X, Y ), Z ) = ti( fun( X, Y ), T ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, Z, Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Z, Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP
% 1.46/1.83 ( X, fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Y ) = ti( fun( X,
% 1.46/1.83 bool ), Y ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.83 , collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.46/1.83 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.46/1.83 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.46/1.83 ) ), combb( bool, fun( bool, bool ), X ), fdisj ), hAPP( X, fun( X, bool
% 1.46/1.83 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.46/1.83 , bool ), fequal( X ) ), Y ) ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Z ) ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 collect( X ), Z ) ) = hAPP( fun( X, bool ), fun( X, bool ), collect( X )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) )
% 1.46/1.83 , fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP(
% 1.46/1.83 fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool,
% 1.46/1.83 bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool
% 1.46/1.83 , fun( bool, bool ), X ), fimplies ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), hAPP( fun( bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb
% 1.46/1.83 ( bool, bool, X ), fNot ), hAPP( X, fun( X, bool ), hAPP( fun( X, fun( X
% 1.46/1.83 , bool ) ), fun( X, fun( X, bool ) ), combc( X, X, bool ), fequal( X ) )
% 1.46/1.83 , Y ) ) ) ), Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool
% 1.46/1.83 ) ) ) ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.83 { ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.83 , Z ), bot_bot( fun( X, bool ) ) ) ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.46/1.83 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) ) =
% 1.46/1.83 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Y ), Z ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.46/1.83 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) ) =
% 1.46/1.83 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Z ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.46/1.83 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) ) ), ti( X, Y ) =
% 1.46/1.83 ti( X, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X,
% 1.46/1.83 bool ), bool ), member( X ), Y ), T ) ) }.
% 1.46/1.83 { ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.83 , Z ), T ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.83 , Z ), T ) ) ) }.
% 1.46/1.83 { ! hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Y ) = bot_bot( fun
% 1.46/1.83 ( X, bool ) ), ! hBOOL( hAPP( X, bool, Y, Z ) ) }.
% 1.46/1.83 { hBOOL( hAPP( X, bool, Y, skol19( X, Y ) ) ), hAPP( fun( X, bool ), fun( X
% 1.46/1.83 , bool ), collect( X ), Y ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.83 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot
% 1.46/1.83 ( fun( X, bool ) ) ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 insert( X ), U ), bot_bot( fun( X, bool ) ) ) ), alpha5( X, Y, Z, T, U )
% 1.46/1.83 , alpha15( X, Y, Z, T, U ) }.
% 1.46/1.83 { ! alpha5( X, Y, Z, T, U ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.46/1.83 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = hAPP( fun( X, bool ),
% 1.46/1.83 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.83 ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool
% 1.46/1.83 ), fun( X, bool ) ), insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.46/1.83 { ! alpha15( X, Y, Z, T, U ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.46/1.83 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = hAPP( fun( X, bool ),
% 1.46/1.83 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.83 ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool
% 1.46/1.83 ), fun( X, bool ) ), insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.46/1.83 { ! alpha15( X, Y, Z, T, U ), ti( X, Y ) = ti( X, U ) }.
% 1.46/1.83 { ! alpha15( X, Y, Z, T, U ), ti( X, Z ) = ti( X, T ) }.
% 1.46/1.83 { ! ti( X, Y ) = ti( X, U ), ! ti( X, Z ) = ti( X, T ), alpha15( X, Y, Z, T
% 1.46/1.83 , U ) }.
% 1.46/1.83 { ! alpha5( X, Y, Z, T, U ), ti( X, Y ) = ti( X, T ) }.
% 1.46/1.83 { ! alpha5( X, Y, Z, T, U ), ti( X, Z ) = ti( X, U ) }.
% 1.46/1.83 { ! ti( X, Y ) = ti( X, T ), ! ti( X, Z ) = ti( X, U ), alpha5( X, Y, Z, T
% 1.46/1.83 , U ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ), T ) ), ti(
% 1.46/1.83 X, Y ) = ti( X, T ), hBOOL( hAPP( X, bool, Z, T ) ) }.
% 1.46/1.83 { ! ti( X, Y ) = ti( X, T ), hBOOL( hAPP( X, bool, hAPP( fun( X, bool ),
% 1.46/1.83 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.83 ), Y ), Z ), T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( X, bool, Z, T ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 insert( X ), Y ), Z ), T ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.46/1.83 ( fun( X, bool ), bool ), member( X ), Y ), T ) ), ! hAPP( fun( X, bool )
% 1.46/1.83 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.46/1.83 ( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.46/1.83 ( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ), ti( fun( X, bool )
% 1.46/1.83 , Z ) = ti( fun( X, bool ), T ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.46/1.83 ( fun( X, bool ), bool ), member( X ), Y ), T ) ), ! ti( fun( X, bool ),
% 1.46/1.83 Z ) = ti( fun( X, bool ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.46/1.83 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) = hAPP
% 1.46/1.83 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.83 bool ) ), insert( X ), Y ), T ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun
% 1.46/1.83 ( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Z )
% 1.46/1.83 , Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.83 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.83 , T ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.46/1.83 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) = ti( fun
% 1.46/1.83 ( X, bool ), Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool
% 1.46/1.83 ) ) ) ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.83 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ) ), insert( X ), Y ), bot_bot( fun( X, bool ) ) ) = hAPP( fun
% 1.46/1.83 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.46/1.83 ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ), ti( X, Y ) = ti( X, Z
% 1.46/1.83 ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, X ), Y ), Z ) ), ! hBOOL( hAPP(
% 1.46/1.83 state, bool, hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun
% 1.46/1.83 ( state, bool ) ), evalc, X ), Y ), T ) ), T = Z }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ),
% 1.46/1.83 bot_bot( fun( X, bool ) ) ) ), Z ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.83 , collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.46/1.83 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.46/1.83 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.46/1.83 ) ), combb( bool, fun( bool, bool ), X ), fdisj ), hAPP( X, fun( X, bool
% 1.46/1.83 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.46/1.83 , bool ), fequal( X ) ), Y ) ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), Z ), T ) ) ), hBOOL(
% 1.46/1.83 hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), Z ), bot_bot( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), Z ), T ) ) ), hBOOL(
% 1.46/1.83 hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), Z ), bot_bot( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ) ) ) ), ! hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), T ) ), hBOOL( hAPP(
% 1.46/1.83 fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), Z ), T ) ) ) }.
% 1.46/1.83 { ! ti( fun( Y, bool ), T ) = bot_bot( fun( Y, bool ) ), hAPP( fun( Y, bool
% 1.46/1.83 ), fun( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool
% 1.46/1.83 ) ), image( Y, X ), hAPP( X, fun( Y, X ), combk( X, Y ), Z ) ), T ) =
% 1.46/1.83 bot_bot( fun( X, bool ) ) }.
% 1.46/1.83 { ti( fun( Y, bool ), T ) = bot_bot( fun( Y, bool ) ), hAPP( fun( Y, bool )
% 1.46/1.83 , fun( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool )
% 1.46/1.83 ), image( Y, X ), hAPP( X, fun( Y, X ), combk( X, Y ), Z ) ), T ) = hAPP
% 1.46/1.83 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.83 bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Z ), Y ) ), hAPP( fun( X, bool ), fun( T, bool ), hAPP(
% 1.46/1.83 fun( X, T ), fun( fun( X, bool ), fun( T, bool ) ), image( X, T ), hAPP(
% 1.46/1.83 T, fun( X, T ), combk( T, X ), U ) ), Y ) = hAPP( fun( T, bool ), fun( T
% 1.46/1.83 , bool ), hAPP( T, fun( fun( T, bool ), fun( T, bool ) ), insert( T ), U
% 1.46/1.83 ), bot_bot( fun( T, bool ) ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.46/1.83 bool ), fun( Y, bool ) ), image( X, Y ), Z ), hAPP( fun( X, bool ), fun(
% 1.46/1.83 X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T
% 1.46/1.83 ), U ) ) = hAPP( fun( Y, bool ), fun( Y, bool ), hAPP( Y, fun( fun( Y,
% 1.46/1.83 bool ), fun( Y, bool ) ), insert( Y ), hAPP( X, Y, Z, T ) ), hAPP( fun( X
% 1.46/1.83 , bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X, bool ), fun( Y
% 1.46/1.83 , bool ) ), image( X, Y ), Z ), U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), Z ) ), hAPP( fun( T, bool ), fun( T, bool ), hAPP( T
% 1.46/1.83 , fun( fun( T, bool ), fun( T, bool ) ), insert( T ), hAPP( X, T, U, Y )
% 1.46/1.83 ), hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun( X
% 1.46/1.83 , bool ), fun( T, bool ) ), image( X, T ), U ), Z ) ) = hAPP( fun( X,
% 1.46/1.83 bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun( X, bool ), fun( T,
% 1.46/1.83 bool ) ), image( X, T ), U ), Z ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.46/1.83 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Z ), T ) ) = hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.46/1.83 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), T )
% 1.46/1.83 ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.46/1.83 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.83 bool ) ), insert( X ), Y ), Z ) ), T ) = hAPP( fun( X, bool ), fun( X,
% 1.46/1.83 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T
% 1.46/1.83 ) ) }.
% 1.46/1.83 { ! bot_bot( fun( X, bool ) ) = hAPP( fun( Y, bool ), fun( X, bool ), hAPP
% 1.46/1.83 ( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), Z )
% 1.46/1.83 , T ), ti( fun( Y, bool ), T ) = bot_bot( fun( Y, bool ) ) }.
% 1.46/1.83 { ! ti( fun( Y, bool ), T ) = bot_bot( fun( Y, bool ) ), bot_bot( fun( X,
% 1.46/1.83 bool ) ) = hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ), fun(
% 1.46/1.83 fun( Y, bool ), fun( X, bool ) ), image( Y, X ), Z ), T ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.46/1.83 bool ), fun( Y, bool ) ), image( X, Y ), Z ), bot_bot( fun( X, bool ) ) )
% 1.46/1.83 = bot_bot( fun( Y, bool ) ) }.
% 1.46/1.83 { ! hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.46/1.83 bool ), fun( Y, bool ) ), image( X, Y ), Z ), T ) = bot_bot( fun( Y, bool
% 1.46/1.83 ) ), ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool
% 1.46/1.83 ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X, bool ), fun( Y, bool
% 1.46/1.83 ) ), image( X, Y ), Z ), T ) = bot_bot( fun( Y, bool ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.83 , member( X ), Y ), bot_bot( fun( X, bool ) ) ) ), hBOOL( hAPP( X, bool,
% 1.46/1.83 Z, Y ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), bot_bot
% 1.46/1.83 ( fun( X, bool ) ) ), Y ) = ti( fun( X, bool ), Y ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.46/1.83 bot_bot( fun( X, bool ) ) ) = ti( fun( X, bool ), Y ) }.
% 1.46/1.83 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z
% 1.46/1.83 ) = bot_bot( fun( X, bool ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X
% 1.46/1.83 , bool ) ) }.
% 1.46/1.83 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.83 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z
% 1.46/1.83 ) = bot_bot( fun( X, bool ) ), ti( fun( X, bool ), Z ) = bot_bot( fun( X
% 1.46/1.83 , bool ) ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! ti( fun( X, bool
% 1.46/1.83 ), Z ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.46/1.83 ) }.
% 1.46/1.83 { hBOOL( W ), hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool,
% 1.46/1.83 hAPP( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ), hoare_279057269derivs( X ),
% 1.46/1.83 Y ), hAPP( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hAPP( hoare_1656922687triple( X ),
% 1.46/1.83 fun( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), insert( hoare_1656922687triple( X
% 1.46/1.83 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ),
% 1.46/1.83 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ),
% 1.46/1.83 hAPP( bool, fun( X, fun( state, bool ) ), hAPP( fun( X, fun( bool, fun(
% 1.46/1.83 state, bool ) ) ), fun( bool, fun( X, fun( state, bool ) ) ), combc( X,
% 1.46/1.83 bool, fun( state, bool ) ), hAPP( fun( X, fun( state, fun( bool, bool ) )
% 1.46/1.83 ), fun( X, fun( bool, fun( state, bool ) ) ), hAPP( fun( fun( state, fun
% 1.46/1.83 ( bool, bool ) ), fun( bool, fun( state, bool ) ) ), fun( fun( X, fun(
% 1.46/1.83 state, fun( bool, bool ) ) ), fun( X, fun( bool, fun( state, bool ) ) ) )
% 1.46/1.83 , combb( fun( state, fun( bool, bool ) ), fun( bool, fun( state, bool ) )
% 1.46/1.83 , X ), combc( state, bool, bool ) ), hAPP( fun( X, fun( state, bool ) ),
% 1.46/1.83 fun( X, fun( state, fun( bool, bool ) ) ), hAPP( fun( fun( state, bool )
% 1.46/1.83 , fun( state, fun( bool, bool ) ) ), fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 fun( X, fun( state, fun( bool, bool ) ) ) ), combb( fun( state, bool ),
% 1.46/1.83 fun( state, fun( bool, bool ) ), X ), hAPP( fun( bool, fun( bool, bool )
% 1.46/1.83 ), fun( fun( state, bool ), fun( state, fun( bool, bool ) ) ), combb(
% 1.46/1.83 bool, fun( bool, bool ), state ), fconj ) ), Z ) ) ), W ) ), T ), U ) ),
% 1.46/1.83 bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), hBOOL(
% 1.46/1.83 hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), hAPP( bool,
% 1.46/1.83 fun( X, fun( state, bool ) ), hAPP( fun( X, fun( bool, fun( state, bool )
% 1.46/1.83 ) ), fun( bool, fun( X, fun( state, bool ) ) ), combc( X, bool, fun(
% 1.46/1.83 state, bool ) ), hAPP( fun( X, fun( state, fun( bool, bool ) ) ), fun( X
% 1.46/1.83 , fun( bool, fun( state, bool ) ) ), hAPP( fun( fun( state, fun( bool,
% 1.46/1.83 bool ) ), fun( bool, fun( state, bool ) ) ), fun( fun( X, fun( state, fun
% 1.46/1.83 ( bool, bool ) ) ), fun( X, fun( bool, fun( state, bool ) ) ) ), combb(
% 1.46/1.83 fun( state, fun( bool, bool ) ), fun( bool, fun( state, bool ) ), X ),
% 1.46/1.83 combc( state, bool, bool ) ), hAPP( fun( X, fun( state, bool ) ), fun( X
% 1.46/1.83 , fun( state, fun( bool, bool ) ) ), hAPP( fun( fun( state, bool ), fun(
% 1.46/1.83 state, fun( bool, bool ) ) ), fun( fun( X, fun( state, bool ) ), fun( X,
% 1.46/1.83 fun( state, fun( bool, bool ) ) ) ), combb( fun( state, bool ), fun(
% 1.46/1.83 state, fun( bool, bool ) ), X ), hAPP( fun( bool, fun( bool, bool ) ),
% 1.46/1.83 fun( fun( state, bool ), fun( state, fun( bool, bool ) ) ), combb( bool,
% 1.46/1.83 fun( bool, bool ), state ), fconj ) ), Z ) ) ), W ) ), T ), U ) ),
% 1.46/1.83 bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), bot_bot( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ) ) ) }.
% 1.46/1.83 { ! bounded_lattice_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), bot_bot( X ) ), Y ) = ti( X, Y ) }.
% 1.46/1.83 { ! bounded_lattice_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), bot_bot( X ) ) = ti( X, Y ) }.
% 1.46/1.83 { ! bounded_lattice_bot( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) = bot_bot( X ), ti( X, Y ) = bot_bot(
% 1.46/1.83 X ) }.
% 1.46/1.83 { ! bounded_lattice_bot( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.83 semilattice_sup_sup( X ), Y ), Z ) = bot_bot( X ), ti( X, Z ) = bot_bot(
% 1.46/1.83 X ) }.
% 1.46/1.83 { ! bounded_lattice_bot( X ), ! ti( X, Y ) = bot_bot( X ), ! ti( X, Z ) =
% 1.46/1.83 bot_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X )
% 1.46/1.83 , Y ), Z ) = bot_bot( X ) }.
% 1.46/1.83 { ! hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), hAPP(
% 1.46/1.83 nat, nat, suc, Y ) ), Z ) ), hBOOL( hAPP( hoare_1656922687triple( X ),
% 1.46/1.83 bool, hAPP( nat, fun( hoare_1656922687triple( X ), bool ),
% 1.46/1.83 hoare_920331057_valid( X ), Y ), Z ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.83 X, bool ) ), insert( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), collect( X ), hAPP( X, fun( X, bool ), hAPP( fun( X, fun( X, bool ) )
% 1.46/1.83 , fun( X, fun( X, bool ) ), combc( X, X, bool ), fequal( X ) ), Y ) ) ),
% 1.46/1.83 Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), hAPP(
% 1.46/1.83 option( com ), com, the( com ), hAPP( pname, option( com ), body_1, T ) )
% 1.46/1.83 ), U ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ),
% 1.46/1.83 hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), hAPP(
% 1.46/1.83 pname, com, body, T ) ), U ) ), bot_bot( fun( hoare_1656922687triple( X )
% 1.46/1.83 , bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Y ), hAPP(
% 1.46/1.83 pname, com, body, Z ) ), T ) ), U ) ), hAPP( fun( hoare_1656922687triple
% 1.46/1.83 ( X ), bool ), fun( hoare_1656922687triple( X ), bool ), hAPP(
% 1.46/1.83 hoare_1656922687triple( X ), fun( fun( hoare_1656922687triple( X ), bool
% 1.46/1.83 ), fun( hoare_1656922687triple( X ), bool ) ), insert(
% 1.46/1.83 hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun
% 1.46/1.83 ( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ) )
% 1.46/1.83 , hoare_246368825triple( X ), Y ), hAPP( option( com ), com, the( com ),
% 1.46/1.83 hAPP( pname, option( com ), body_1, Z ) ) ), T ) ), bot_bot( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ) ) ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), U ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Y ), hAPP(
% 1.46/1.83 pname, com, body, Z ) ), T ) ), bot_bot( fun( hoare_1656922687triple( X )
% 1.46/1.83 , bool ) ) ) ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP(
% 1.46/1.83 hoare_1656922687triple( X ), fun( fun( hoare_1656922687triple( X ), bool
% 1.46/1.83 ), bool ), member( hoare_1656922687triple( X ) ), skol20( X, T, Z ) ), Z
% 1.46/1.83 ) ), ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP
% 1.46/1.83 ( hoare_1656922687triple( X ), fun( fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), bool ), member( hoare_1656922687triple( X ) ), U ), Z ) ), hBOOL
% 1.46/1.83 ( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), Y ), U )
% 1.46/1.83 ) }.
% 1.46/1.83 { ! hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), hAPP(
% 1.46/1.83 nat, nat, suc, Y ) ), skol20( X, Y, Z ) ) ), ! hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( hoare_1656922687triple(
% 1.46/1.83 X ), fun( fun( hoare_1656922687triple( X ), bool ), bool ), member(
% 1.46/1.83 hoare_1656922687triple( X ) ), T ), Z ) ), hBOOL( hAPP(
% 1.46/1.83 hoare_1656922687triple( X ), bool, hAPP( nat, fun( hoare_1656922687triple
% 1.46/1.83 ( X ), bool ), hoare_920331057_valid( X ), Y ), T ) ) }.
% 1.46/1.83 { hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), U, skol21( X, Y, Z
% 1.46/1.83 , T, U ) ), skol77( X, Y, Z, T, U ) ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), U ), Z ), T
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), hAPP( fun(
% 1.46/1.83 state, bool ), fun( X, fun( state, bool ) ), combk( fun( state, bool ), X
% 1.46/1.83 ), hAPP( state, fun( state, bool ), hAPP( fun( state, fun( state, bool )
% 1.46/1.83 ), fun( state, fun( state, bool ) ), combc( state, state, bool ), fequal
% 1.46/1.83 ( state ) ), skol77( X, Y, Z, T, U ) ) ) ), Z ), hAPP( fun( state, bool )
% 1.46/1.83 , fun( X, fun( state, bool ) ), combk( fun( state, bool ), X ), hAPP( X,
% 1.46/1.83 fun( state, bool ), T, skol21( X, Y, Z, T, U ) ) ) ) ), bot_bot( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ) ) ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), U ), Z ), T
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), hBOOL(
% 1.46/1.83 hAPP( state, bool, hAPP( X, fun( state, bool ), W, skol22( X, Z, W ) ),
% 1.46/1.83 skol78( X, Z, W ) ) ), hBOOL( hAPP( fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), bool, hAPP( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ), hoare_279057269derivs( X ),
% 1.46/1.83 Y ), hAPP( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hAPP( hoare_1656922687triple( X ),
% 1.46/1.83 fun( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), insert( hoare_1656922687triple( X
% 1.46/1.83 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ),
% 1.46/1.83 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ),
% 1.46/1.83 W ), T ), U ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) )
% 1.46/1.83 ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.46/1.83 ( hAPP( state, bool, hAPP( X, fun( state, bool ), Z, skol22( X, Z, W ) )
% 1.46/1.83 , skol78( X, Z, W ) ) ), hBOOL( hAPP( fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), bool, hAPP( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ), hoare_279057269derivs( X ),
% 1.46/1.83 Y ), hAPP( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hAPP( hoare_1656922687triple( X ),
% 1.46/1.83 fun( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), insert( hoare_1656922687triple( X
% 1.46/1.83 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ),
% 1.46/1.83 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ),
% 1.46/1.83 W ), T ), U ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) )
% 1.46/1.83 ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), hBOOL(
% 1.46/1.83 hAPP( state, bool, hAPP( X, fun( state, bool ), U, skol23( X, U, W ) ),
% 1.46/1.83 skol79( X, U, W ) ) ), hBOOL( hAPP( fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), bool, hAPP( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ), hoare_279057269derivs( X ),
% 1.46/1.83 Y ), hAPP( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hAPP( hoare_1656922687triple( X ),
% 1.46/1.83 fun( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), insert( hoare_1656922687triple( X
% 1.46/1.83 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ),
% 1.46/1.83 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ),
% 1.46/1.83 Z ), T ), W ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) )
% 1.46/1.83 ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.46/1.83 ( hAPP( state, bool, hAPP( X, fun( state, bool ), W, skol23( X, U, W ) )
% 1.46/1.83 , skol79( X, U, W ) ) ), hBOOL( hAPP( fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), bool, hAPP( fun( hoare_1656922687triple( X ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool ), hoare_279057269derivs( X ),
% 1.46/1.83 Y ), hAPP( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hAPP( hoare_1656922687triple( X ),
% 1.46/1.83 fun( fun( hoare_1656922687triple( X ), bool ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ), insert( hoare_1656922687triple( X
% 1.46/1.83 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ),
% 1.46/1.83 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ),
% 1.46/1.83 Z ), T ), W ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) )
% 1.46/1.83 ) }.
% 1.46/1.83 { hAPP( hoare_1656922687triple( X ), nat, hAPP( fun( X, nat ), fun(
% 1.46/1.83 hoare_1656922687triple( X ), nat ), hoare_983366810e_size( X ), Y ), hAPP
% 1.46/1.83 ( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP( com,
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ), hAPP(
% 1.46/1.83 fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ),
% 1.46/1.83 U ) ) = zero_zero( nat ) }.
% 1.46/1.83 { hAPP( com, hoare_1656922687triple( state ), hoare_Mirabelle_MGT, X ) =
% 1.46/1.83 hAPP( fun( state, fun( state, bool ) ), hoare_1656922687triple( state ),
% 1.46/1.83 hAPP( com, fun( fun( state, fun( state, bool ) ), hoare_1656922687triple
% 1.46/1.83 ( state ) ), hAPP( fun( state, fun( state, bool ) ), fun( com, fun( fun(
% 1.46/1.83 state, fun( state, bool ) ), hoare_1656922687triple( state ) ) ),
% 1.46/1.83 hoare_246368825triple( state ), fequal( state ) ), X ), hAPP( com, fun(
% 1.46/1.83 state, fun( state, bool ) ), evalc, X ) ) }.
% 1.46/1.83 { hAPP( hoare_1656922687triple( X ), nat, size_size( hoare_1656922687triple
% 1.46/1.83 ( X ) ), hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X )
% 1.46/1.83 , hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X
% 1.46/1.83 ) ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple(
% 1.46/1.83 X ), Y ), Z ), T ) ) = zero_zero( nat ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), hBOOL(
% 1.46/1.83 hAPP( state, bool, hAPP( X, fun( state, bool ), V0, skol24( X, Z, U, W,
% 1.46/1.83 V0 ) ), skol80( X, Z, U, W, V0 ) ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), V0 ), T ), W
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.46/1.83 ( hAPP( state, bool, hAPP( X, fun( state, bool ), Z, V1 ), skol80( X, Z,
% 1.46/1.83 U, W, V0 ) ) ), hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), U
% 1.46/1.83 , V1 ), skol96( X, Z, U, W, V0 ) ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), V0 ), T ), W
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.46/1.83 ( hAPP( state, bool, hAPP( X, fun( state, bool ), W, skol24( X, Z, U, W,
% 1.46/1.83 V0 ) ), skol96( X, Z, U, W, V0 ) ) ), hBOOL( hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), V0 ), T ), W
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), X, the_elem( X ), hAPP( fun( X, bool ), fun( X,
% 1.46/1.83 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y )
% 1.46/1.83 , bot_bot( fun( X, bool ) ) ) ) = ti( X, Y ) }.
% 1.46/1.83 { ! zero_zero( nat ) = hAPP( nat, nat, suc, X ) }.
% 1.46/1.83 { ! zero_zero( nat ) = hAPP( nat, nat, suc, X ) }.
% 1.46/1.83 { ! hAPP( nat, nat, suc, X ) = zero_zero( nat ) }.
% 1.46/1.83 { ! hAPP( nat, nat, suc, X ) = zero_zero( nat ) }.
% 1.46/1.83 { ! zero_zero( nat ) = hAPP( nat, nat, suc, X ) }.
% 1.46/1.83 { ! hAPP( nat, nat, suc, X ) = zero_zero( nat ) }.
% 1.46/1.83 { ! bot( X ), hAPP( Y, X, bot_bot( fun( Y, X ) ), Z ) = bot_bot( X ) }.
% 1.46/1.83 { bot_bot( nat ) = zero_zero( nat ) }.
% 1.46/1.83 { ! hAPP( nat, nat, suc, X ) = hAPP( nat, nat, suc, Y ), X = Y }.
% 1.46/1.83 { ! hAPP( nat, nat, suc, X ) = hAPP( nat, nat, suc, Y ), X = Y }.
% 1.46/1.83 { ! X = Y, hAPP( nat, nat, suc, X ) = hAPP( nat, nat, suc, Y ) }.
% 1.46/1.83 { ! hAPP( nat, nat, suc, X ) = X }.
% 1.46/1.83 { ! X = hAPP( nat, nat, suc, X ) }.
% 1.46/1.83 { ! bot( X ), hAPP( Y, X, bot_bot( fun( Y, X ) ), Z ) = bot_bot( X ) }.
% 1.46/1.83 { X = zero_zero( nat ), X = hAPP( nat, nat, suc, skol25( X ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( nat, bool, X, Y ) ), hBOOL( hAPP( nat, bool, X, hAPP( nat
% 1.46/1.83 , nat, suc, skol26( X ) ) ) ), hBOOL( hAPP( nat, bool, X, zero_zero( nat
% 1.46/1.83 ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( nat, bool, X, Y ) ), ! hBOOL( hAPP( nat, bool, X, skol26(
% 1.46/1.83 X ) ) ), hBOOL( hAPP( nat, bool, X, zero_zero( nat ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( nat, bool, X, zero_zero( nat ) ) ), hBOOL( hAPP( nat, bool
% 1.46/1.83 , X, skol27( X ) ) ), hBOOL( hAPP( nat, bool, X, Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( nat, bool, X, zero_zero( nat ) ) ), ! hBOOL( hAPP( nat,
% 1.46/1.83 bool, X, hAPP( nat, nat, suc, skol27( X ) ) ) ), hBOOL( hAPP( nat, bool,
% 1.46/1.83 X, Y ) ) }.
% 1.46/1.83 { X = zero_zero( nat ), X = hAPP( nat, nat, suc, skol28( X ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( option( com ), com, the( com ), hAPP(
% 1.46/1.83 pname, option( com ), body_1, X ) ) ), Y ), Z ), T ) ), hBOOL( hAPP(
% 1.46/1.83 state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) )
% 1.46/1.83 , evaln, hAPP( pname, com, body, X ) ), Y ), hAPP( nat, nat, suc, Z ) ),
% 1.46/1.83 T ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), skip )
% 1.46/1.83 , Z ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, skip ), X ), Z ), Y ) ), Y = X }.
% 1.46/1.83 { hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun
% 1.46/1.83 ( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state
% 1.46/1.83 , bool ) ) ), evaln, skip ), X ), Y ), X ) ) }.
% 1.46/1.83 { hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com, fun
% 1.46/1.83 ( state, fun( state, bool ) ), evalc, skip ), X ), X ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, skip ), X ), Y ) ), Y = X }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, X ), Y ), Z ), T ) ), hBOOL( hAPP( state, bool
% 1.46/1.83 , hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool
% 1.46/1.83 ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, X )
% 1.46/1.83 , Y ), hAPP( nat, nat, suc, Z ) ), T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, X ), Y ), Z ) ), hBOOL( hAPP(
% 1.46/1.83 state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) )
% 1.46/1.83 , evaln, X ), Y ), skol29( X, Y, Z ) ), Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, X ), Y ), T ), Z ) ), hBOOL( hAPP( state, bool
% 1.46/1.83 , hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun( state,
% 1.46/1.83 bool ) ), evalc, X ), Y ), Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, X ), Y ), T ), Z ) ), hBOOL( hAPP( state, bool
% 1.46/1.83 , hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun( state,
% 1.46/1.83 bool ) ), evalc, X ), Y ), Z ) ) }.
% 1.46/1.83 { ! hAPP( pname, com, body, X ) = skip }.
% 1.46/1.83 { ! skip = hAPP( pname, com, body, X ) }.
% 1.46/1.83 { ! hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), Y ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z
% 1.46/1.83 ), T ), U ) ) ), ! hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool )
% 1.46/1.83 , Z, W ), V0 ) ), alpha6( X, Y, T, U, W, V0 ) }.
% 1.46/1.83 { hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), Z, skol30( X, Y, Z
% 1.46/1.83 , T, U ) ), skol81( X, Y, Z, T, U ) ) ), hBOOL( hAPP(
% 1.46/1.83 hoare_1656922687triple( X ), bool, hAPP( nat, fun( hoare_1656922687triple
% 1.46/1.83 ( X ), bool ), hoare_920331057_valid( X ), Y ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ) ) }.
% 1.46/1.83 { ! alpha6( X, Y, T, U, skol30( X, Y, Z, T, U ), skol81( X, Y, Z, T, U ) )
% 1.46/1.83 , hBOOL( hAPP( hoare_1656922687triple( X ), bool, hAPP( nat, fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), hoare_920331057_valid( X ), Y ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ), hAPP(
% 1.46/1.83 com, fun( fun( X, fun( state, bool ) ), hoare_1656922687triple( X ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z
% 1.46/1.83 ), T ), U ) ) ) }.
% 1.46/1.83 { ! alpha6( X, Y, Z, T, U, W ), ! hBOOL( hAPP( state, bool, hAPP( nat, fun
% 1.46/1.83 ( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com,
% 1.46/1.83 fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z ), W ), Y ), V0 )
% 1.46/1.83 ), hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), T, U ), V0 ) )
% 1.46/1.83 }.
% 1.46/1.83 { hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun
% 1.46/1.83 ( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state
% 1.46/1.83 , bool ) ) ), evaln, Z ), W ), Y ), skol31( V0, Y, Z, V1, V2, W ) ) ),
% 1.46/1.83 alpha6( X, Y, Z, T, U, W ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), T, U ), skol31(
% 1.46/1.83 X, Y, Z, T, U, W ) ) ), alpha6( X, Y, Z, T, U, W ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( pname, com, body, X ) ), Y ), Z ), T ) )
% 1.46/1.83 , Z = hAPP( nat, nat, suc, skol32( U, W, Z, V0 ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( pname, com, body, X ) ), Y ), Z ), T ) )
% 1.46/1.83 , hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( option( com ), com, the( com ), hAPP(
% 1.46/1.83 pname, option( com ), body_1, X ) ) ), Y ), skol32( X, Y, Z, T ) ), T ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, X ), Y ), Z ) ), hBOOL( hAPP(
% 1.46/1.83 state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) )
% 1.46/1.83 , evaln, X ), Y ), skol33( X, Y, Z ) ), Z ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), hAPP( fun(
% 1.46/1.83 state, bool ), fun( X, fun( state, bool ) ), hAPP( fun( X, fun( fun(
% 1.46/1.83 state, bool ), fun( state, bool ) ) ), fun( fun( state, bool ), fun( X,
% 1.46/1.83 fun( state, bool ) ) ), combc( X, fun( state, bool ), fun( state, bool )
% 1.46/1.83 ), hAPP( fun( X, fun( state, fun( bool, bool ) ) ), fun( X, fun( fun(
% 1.46/1.83 state, bool ), fun( state, bool ) ) ), hAPP( fun( fun( state, fun( bool,
% 1.46/1.83 bool ) ), fun( fun( state, bool ), fun( state, bool ) ) ), fun( fun( X,
% 1.46/1.83 fun( state, fun( bool, bool ) ) ), fun( X, fun( fun( state, bool ), fun(
% 1.46/1.83 state, bool ) ) ) ), combb( fun( state, fun( bool, bool ) ), fun( fun(
% 1.46/1.83 state, bool ), fun( state, bool ) ), X ), combs( state, bool, bool ) ),
% 1.46/1.83 hAPP( fun( X, fun( state, bool ) ), fun( X, fun( state, fun( bool, bool )
% 1.46/1.83 ) ), hAPP( fun( fun( state, bool ), fun( state, fun( bool, bool ) ) ),
% 1.46/1.83 fun( fun( X, fun( state, bool ) ), fun( X, fun( state, fun( bool, bool )
% 1.46/1.83 ) ) ), combb( fun( state, bool ), fun( state, fun( bool, bool ) ), X ),
% 1.46/1.83 hAPP( fun( bool, fun( bool, bool ) ), fun( fun( state, bool ), fun( state
% 1.46/1.83 , fun( bool, bool ) ) ), combb( bool, fun( bool, bool ), state ), fconj )
% 1.46/1.83 ), Z ) ) ), hAPP( fun( state, bool ), fun( state, bool ), hAPP( fun(
% 1.46/1.83 bool, bool ), fun( fun( state, bool ), fun( state, bool ) ), combb( bool
% 1.46/1.83 , bool, state ), fNot ), T ) ) ), hAPP( com, com, hAPP( fun( state, bool
% 1.46/1.83 ), fun( com, com ), while, T ), U ) ), Z ) ), bot_bot( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun
% 1.46/1.83 ( hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple(
% 1.46/1.83 X ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), T ), U
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.46/1.83 ( hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), U ), W ), V0
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( X ), bool ) ) ) ) ), hBOOL(
% 1.46/1.83 hAPP( fun( hoare_1656922687triple( X ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( fun( hoare_1656922687triple( X
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( X ), Y ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( X ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( X ), bool ), fun( hoare_1656922687triple( X ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( X ), hAPP( com, fun( fun( X, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( X ) ), hAPP( fun( X, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( X ) ) ), hoare_246368825triple( X ), Z ), hAPP(
% 1.46/1.83 com, com, hAPP( com, fun( com, com ), semi, T ), W ) ), V0 ) ), bot_bot(
% 1.46/1.83 fun( hoare_1656922687triple( X ), bool ) ) ) ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), X, the_elem( X ), Y ) = hAPP( fun( X, bool ), X,
% 1.46/1.83 the_1( X ), hAPP( fun( X, fun( X, bool ) ), fun( X, bool ), hAPP( fun(
% 1.46/1.83 fun( X, bool ), bool ), fun( fun( X, fun( X, bool ) ), fun( X, bool ) ),
% 1.46/1.83 combb( fun( X, bool ), bool, X ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.46/1.83 ), bool ), fequal( fun( X, bool ) ), Y ) ), hAPP( fun( X, bool ), fun( X
% 1.46/1.83 , fun( X, bool ) ), hAPP( fun( X, fun( fun( X, bool ), fun( X, bool ) ) )
% 1.46/1.83 , fun( fun( X, bool ), fun( X, fun( X, bool ) ) ), combc( X, fun( X, bool
% 1.46/1.83 ), fun( X, bool ) ), insert( X ) ), bot_bot( fun( X, bool ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.83 hAPP( fun( hoare_1656922687triple( Z ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), fun( fun( hoare_1656922687triple( Z
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( Z ), W ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), fun( hoare_1656922687triple( Z ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( Z ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), fun( hoare_1656922687triple( Z ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( Z ) ), hAPP( fun( Z, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( Z ), hAPP( com, fun( fun( Z, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( Z ) ), hAPP( fun( Z, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ), hoare_246368825triple( Z ), hAPP( X, fun
% 1.46/1.83 ( Z, fun( state, bool ) ), V0, skol34( X, Z, V3, V4, W, V0, V1, V2 ) ) )
% 1.46/1.83 , hAPP( X, com, V1, skol34( X, Z, V3, V4, W, V0, V1, V2 ) ) ), hAPP( X,
% 1.46/1.83 fun( Z, fun( state, bool ) ), V2, skol34( X, Z, V3, V4, W, V0, V1, V2 ) )
% 1.46/1.83 ) ), bot_bot( fun( hoare_1656922687triple( Z ), bool ) ) ) ) ), ! hBOOL
% 1.46/1.83 ( hAPP( fun( hoare_1656922687triple( Z ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), fun( fun( hoare_1656922687triple( Z
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( Z ), W ), hAPP( fun( X, bool )
% 1.46/1.83 , fun( hoare_1656922687triple( Z ), bool ), hAPP( fun( X,
% 1.46/1.83 hoare_1656922687triple( Z ) ), fun( fun( X, bool ), fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ) ), image( X, hoare_1656922687triple(
% 1.46/1.83 Z ) ), hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X,
% 1.46/1.83 hoare_1656922687triple( Z ) ), hAPP( fun( X, fun( fun( Z, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( Z ) ) ), fun( fun( X, fun( Z, fun(
% 1.46/1.83 state, bool ) ) ), fun( X, hoare_1656922687triple( Z ) ) ), combs( X, fun
% 1.46/1.83 ( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ), hAPP( fun( X,
% 1.46/1.83 com ), fun( X, fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple
% 1.46/1.83 ( Z ) ) ), hAPP( fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ) ), fun( fun( X, com ), fun( X, fun( fun(
% 1.46/1.83 Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ) ), combs( X, com
% 1.46/1.83 , fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ),
% 1.46/1.83 hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X, fun( com, fun( fun
% 1.46/1.83 ( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ) ), hAPP( fun(
% 1.46/1.83 fun( Z, fun( state, bool ) ), fun( com, fun( fun( Z, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( Z ) ) ) ), fun( fun( X, fun( Z, fun( state,
% 1.46/1.83 bool ) ) ), fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ) ) ), combb( fun( Z, fun( state, bool ) )
% 1.46/1.83 , fun( com, fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple( Z
% 1.46/1.83 ) ) ), X ), hoare_246368825triple( Z ) ), V0 ) ), V1 ) ), V2 ) ), Y ) )
% 1.46/1.83 ), hBOOL( hAPP( fun( hoare_1656922687triple( Z ), bool ), bool, hAPP(
% 1.46/1.83 fun( hoare_1656922687triple( Z ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), bool ), hoare_279057269derivs( Z ),
% 1.46/1.83 W ), hAPP( fun( X, bool ), fun( hoare_1656922687triple( Z ), bool ), hAPP
% 1.46/1.83 ( fun( X, hoare_1656922687triple( Z ) ), fun( fun( X, bool ), fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ) ), image( X, hoare_1656922687triple(
% 1.46/1.83 Z ) ), hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X,
% 1.46/1.83 hoare_1656922687triple( Z ) ), hAPP( fun( X, fun( fun( Z, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( Z ) ) ), fun( fun( X, fun( Z, fun(
% 1.46/1.83 state, bool ) ) ), fun( X, hoare_1656922687triple( Z ) ) ), combs( X, fun
% 1.46/1.83 ( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ), hAPP( fun( X,
% 1.46/1.83 com ), fun( X, fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple
% 1.46/1.83 ( Z ) ) ), hAPP( fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ) ), fun( fun( X, com ), fun( X, fun( fun(
% 1.46/1.83 Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ) ), combs( X, com
% 1.46/1.83 , fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ),
% 1.46/1.83 hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X, fun( com, fun( fun
% 1.46/1.83 ( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ) ), hAPP( fun(
% 1.46/1.83 fun( Z, fun( state, bool ) ), fun( com, fun( fun( Z, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( Z ) ) ) ), fun( fun( X, fun( Z, fun( state,
% 1.46/1.83 bool ) ) ), fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ) ) ), combb( fun( Z, fun( state, bool ) )
% 1.46/1.83 , fun( com, fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple( Z
% 1.46/1.83 ) ) ), X ), hoare_246368825triple( Z ) ), T ) ), V1 ) ), U ) ), Y ) ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.83 ( hAPP( fun( hoare_1656922687triple( Z ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), fun( fun( hoare_1656922687triple( Z
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( Z ), W ), hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), fun( hoare_1656922687triple( Z ),
% 1.46/1.83 bool ), hAPP( hoare_1656922687triple( Z ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), fun( hoare_1656922687triple( Z ),
% 1.46/1.83 bool ) ), insert( hoare_1656922687triple( Z ) ), hAPP( fun( Z, fun( state
% 1.46/1.83 , bool ) ), hoare_1656922687triple( Z ), hAPP( com, fun( fun( Z, fun(
% 1.46/1.83 state, bool ) ), hoare_1656922687triple( Z ) ), hAPP( fun( Z, fun( state
% 1.46/1.83 , bool ) ), fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ), hoare_246368825triple( Z ), hAPP( X, fun
% 1.46/1.83 ( Z, fun( state, bool ) ), T, skol34( X, Z, T, U, W, V0, V1, V2 ) ) ),
% 1.46/1.83 hAPP( X, com, V1, skol34( X, Z, T, U, W, V0, V1, V2 ) ) ), hAPP( X, fun(
% 1.46/1.83 Z, fun( state, bool ) ), U, skol34( X, Z, T, U, W, V0, V1, V2 ) ) ) ),
% 1.46/1.83 bot_bot( fun( hoare_1656922687triple( Z ), bool ) ) ) ) ), ! hBOOL( hAPP
% 1.46/1.83 ( fun( hoare_1656922687triple( Z ), bool ), bool, hAPP( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), fun( fun( hoare_1656922687triple( Z
% 1.46/1.83 ), bool ), bool ), hoare_279057269derivs( Z ), W ), hAPP( fun( X, bool )
% 1.46/1.83 , fun( hoare_1656922687triple( Z ), bool ), hAPP( fun( X,
% 1.46/1.83 hoare_1656922687triple( Z ) ), fun( fun( X, bool ), fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ) ), image( X, hoare_1656922687triple(
% 1.46/1.83 Z ) ), hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X,
% 1.46/1.83 hoare_1656922687triple( Z ) ), hAPP( fun( X, fun( fun( Z, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( Z ) ) ), fun( fun( X, fun( Z, fun(
% 1.46/1.83 state, bool ) ) ), fun( X, hoare_1656922687triple( Z ) ) ), combs( X, fun
% 1.46/1.83 ( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ), hAPP( fun( X,
% 1.46/1.83 com ), fun( X, fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple
% 1.46/1.83 ( Z ) ) ), hAPP( fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ) ), fun( fun( X, com ), fun( X, fun( fun(
% 1.46/1.83 Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ) ), combs( X, com
% 1.46/1.83 , fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ),
% 1.46/1.83 hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X, fun( com, fun( fun
% 1.46/1.83 ( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ) ), hAPP( fun(
% 1.46/1.83 fun( Z, fun( state, bool ) ), fun( com, fun( fun( Z, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( Z ) ) ) ), fun( fun( X, fun( Z, fun( state,
% 1.46/1.83 bool ) ) ), fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ) ) ), combb( fun( Z, fun( state, bool ) )
% 1.46/1.83 , fun( com, fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple( Z
% 1.46/1.83 ) ) ), X ), hoare_246368825triple( Z ) ), V0 ) ), V1 ) ), V2 ) ), Y ) )
% 1.46/1.83 ), hBOOL( hAPP( fun( hoare_1656922687triple( Z ), bool ), bool, hAPP(
% 1.46/1.83 fun( hoare_1656922687triple( Z ), bool ), fun( fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ), bool ), hoare_279057269derivs( Z ),
% 1.46/1.83 W ), hAPP( fun( X, bool ), fun( hoare_1656922687triple( Z ), bool ), hAPP
% 1.46/1.83 ( fun( X, hoare_1656922687triple( Z ) ), fun( fun( X, bool ), fun(
% 1.46/1.83 hoare_1656922687triple( Z ), bool ) ), image( X, hoare_1656922687triple(
% 1.46/1.83 Z ) ), hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X,
% 1.46/1.83 hoare_1656922687triple( Z ) ), hAPP( fun( X, fun( fun( Z, fun( state,
% 1.46/1.83 bool ) ), hoare_1656922687triple( Z ) ) ), fun( fun( X, fun( Z, fun(
% 1.46/1.83 state, bool ) ) ), fun( X, hoare_1656922687triple( Z ) ) ), combs( X, fun
% 1.46/1.83 ( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ), hAPP( fun( X,
% 1.46/1.83 com ), fun( X, fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple
% 1.46/1.83 ( Z ) ) ), hAPP( fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ) ), fun( fun( X, com ), fun( X, fun( fun(
% 1.46/1.83 Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ) ), combs( X, com
% 1.46/1.83 , fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ),
% 1.46/1.83 hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X, fun( com, fun( fun
% 1.46/1.83 ( Z, fun( state, bool ) ), hoare_1656922687triple( Z ) ) ) ), hAPP( fun(
% 1.46/1.83 fun( Z, fun( state, bool ) ), fun( com, fun( fun( Z, fun( state, bool ) )
% 1.46/1.83 , hoare_1656922687triple( Z ) ) ) ), fun( fun( X, fun( Z, fun( state,
% 1.46/1.83 bool ) ) ), fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.46/1.83 hoare_1656922687triple( Z ) ) ) ) ), combb( fun( Z, fun( state, bool ) )
% 1.46/1.83 , fun( com, fun( fun( Z, fun( state, bool ) ), hoare_1656922687triple( Z
% 1.46/1.83 ) ) ), X ), hoare_246368825triple( Z ) ), T ) ), V1 ) ), U ) ), Y ) ) )
% 1.46/1.83 }.
% 1.46/1.83 { hBOOL( hAPP( state, bool, X, Y ) ), hBOOL( hAPP( state, bool, hAPP( nat,
% 1.46/1.83 fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP(
% 1.46/1.83 com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, hAPP( com, com
% 1.46/1.83 , hAPP( fun( state, bool ), fun( com, com ), while, X ), Z ) ), Y ), T )
% 1.46/1.83 , Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.46/1.83 nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ),
% 1.46/1.83 hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z ), Y )
% 1.46/1.83 , T ), U ) ), ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ),
% 1.46/1.83 hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun(
% 1.46/1.83 nat, fun( state, bool ) ) ), evaln, hAPP( com, com, hAPP( fun( state,
% 1.46/1.83 bool ), fun( com, com ), while, X ), Z ) ), U ), T ), W ) ), hBOOL( hAPP
% 1.46/1.83 ( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun
% 1.46/1.83 ( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) )
% 1.46/1.83 ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ),
% 1.46/1.83 while, X ), Z ) ), Y ), T ), W ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.46/1.83 state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ),
% 1.46/1.83 evalc, Z ), Y ), T ) ), ! hBOOL( hAPP( state, bool, hAPP( state, fun(
% 1.46/1.83 state, bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP(
% 1.46/1.83 com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ), Z ) ), T
% 1.46/1.83 ), U ) ), hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ),
% 1.46/1.83 hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP
% 1.46/1.83 ( fun( state, bool ), fun( com, com ), while, X ), Z ) ), Y ), U ) ) }.
% 1.46/1.83 { hBOOL( hAPP( state, bool, X, Y ) ), hBOOL( hAPP( state, bool, hAPP( state
% 1.46/1.83 , fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc
% 1.46/1.83 , hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.46/1.83 Z ) ), Y ), Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, X ), Y ), Z ), T ) ), ! hBOOL( hAPP( state,
% 1.46/1.83 bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state,
% 1.46/1.83 bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln
% 1.46/1.83 , U ), T ), Z ), W ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state,
% 1.46/1.83 bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun(
% 1.46/1.83 state, fun( nat, fun( state, bool ) ) ), evaln, hAPP( com, com, hAPP( com
% 1.46/1.83 , fun( com, com ), semi, X ), U ) ), Y ), Z ), W ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, X ), Y ), Z ) ), ! hBOOL( hAPP(
% 1.46/1.83 state, bool, hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun
% 1.46/1.83 ( state, bool ) ), evalc, T ), Z ), U ) ), hBOOL( hAPP( state, bool, hAPP
% 1.46/1.83 ( state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) )
% 1.46/1.83 , evalc, hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), T ) ), Y
% 1.46/1.83 ), U ) ) }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP( com
% 1.46/1.83 , com, hAPP( fun( state, bool ), fun( com, com ), while, Z ), T ) }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.46/1.83 Y ) = hAPP( com, com, hAPP( com, fun( com, com ), semi, Z ), T ) }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP( com
% 1.46/1.83 , com, hAPP( com, fun( com, com ), semi, Z ), T ), X = Z }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP( com
% 1.46/1.83 , com, hAPP( com, fun( com, com ), semi, Z ), T ), Y = T }.
% 1.46/1.83 { ! X = Z, ! Y = T, hAPP( com, com, hAPP( com, fun( com, com ), semi, X ),
% 1.46/1.83 Y ) = hAPP( com, com, hAPP( com, fun( com, com ), semi, Z ), T ) }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.46/1.83 Y ) = hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, Z
% 1.46/1.83 ), T ), X = Z }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.46/1.83 Y ) = hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, Z
% 1.46/1.83 ), T ), Y = T }.
% 1.46/1.83 { ! X = Z, ! Y = T, hAPP( com, com, hAPP( fun( state, bool ), fun( com, com
% 1.46/1.83 ), while, X ), Y ) = hAPP( com, com, hAPP( fun( state, bool ), fun( com
% 1.46/1.83 , com ), while, Z ), T ) }.
% 1.46/1.83 { ! hAPP( pname, com, body, X ) = hAPP( com, com, hAPP( fun( state, bool )
% 1.46/1.83 , fun( com, com ), while, Y ), Z ) }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.46/1.83 Y ) = hAPP( pname, com, body, Z ) }.
% 1.46/1.83 { ! skip = hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while
% 1.46/1.83 , X ), Y ) }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.46/1.83 Y ) = skip }.
% 1.46/1.83 { ! hAPP( pname, com, body, X ) = hAPP( com, com, hAPP( com, fun( com, com
% 1.46/1.83 ), semi, Y ), Z ) }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP(
% 1.46/1.83 pname, com, body, Z ) }.
% 1.46/1.83 { ! skip = hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) }.
% 1.46/1.83 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = skip }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( com, fun(
% 1.46/1.83 com, com ), semi, X ), Y ) ), Z ), T ) ), hBOOL( hAPP( state, bool, hAPP
% 1.46/1.83 ( state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) )
% 1.46/1.83 , evalc, Y ), skol35( U, Y, W, T ) ), T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( com, fun(
% 1.46/1.83 com, com ), semi, X ), Y ) ), Z ), T ) ), hBOOL( hAPP( state, bool, hAPP
% 1.46/1.83 ( state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) )
% 1.46/1.83 , evalc, X ), Z ), skol35( X, Y, Z, T ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.46/1.83 semi, X ), Y ) ), Z ), T ), U ) ), hBOOL( hAPP( state, bool, hAPP( nat,
% 1.46/1.83 fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP(
% 1.46/1.83 com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Y ), skol36( W
% 1.46/1.83 , Y, V0, T, U ) ), T ), U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.46/1.83 semi, X ), Y ) ), Z ), T ), U ) ), hBOOL( hAPP( state, bool, hAPP( nat,
% 1.46/1.83 fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP(
% 1.46/1.83 com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, X ), Z ), T ),
% 1.46/1.83 skol36( X, Y, Z, T, U ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.83 hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), hAPP( fun( X, bool ),
% 1.46/1.83 fun( Z, bool ), hAPP( fun( X, Z ), fun( fun( X, bool ), fun( Z, bool ) )
% 1.46/1.83 , image( X, Z ), T ), Y ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.83 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.46/1.83 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.83 ), Z ), Y ) ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), bot_bot( fun( X
% 1.46/1.83 , bool ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), collect( X ), Z ) ) ), hBOOL( hAPP( fun( X, bool
% 1.46/1.83 ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.46/1.83 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.46/1.83 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.46/1.83 ) ), combb( bool, fun( bool, bool ), X ), fconj ), Z ) ), Y ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), collect( X ), Y ) ) ), hBOOL( hAPP( fun( X, bool
% 1.46/1.83 ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.83 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.46/1.83 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.46/1.83 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.46/1.83 ) ), combb( bool, fun( bool, bool ), X ), fconj ), Z ) ), Y ) ) ) ) }.
% 1.46/1.83 { ! finite_finite( X ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1
% 1.46/1.83 ( X ), Y ) ) }.
% 1.46/1.83 { ! finite_finite( X ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1
% 1.46/1.83 ( X ), Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, bool
% 1.46/1.83 ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X, fun( bool,
% 1.46/1.83 bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X, bool ), fun
% 1.46/1.83 ( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ), X ), fdisj )
% 1.46/1.83 , Y ) ), Z ) ) ) ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X
% 1.46/1.83 ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Y ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, bool
% 1.46/1.83 ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X, fun( bool,
% 1.46/1.83 bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X, bool ), fun
% 1.46/1.83 ( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ), X ), fdisj )
% 1.46/1.83 , Y ) ), Z ) ) ) ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X
% 1.46/1.83 ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), collect( X ), Y ) ) ), ! hBOOL( hAPP( fun( X,
% 1.46/1.83 bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.83 , collect( X ), Z ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.46/1.83 finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool ), collect( X )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) )
% 1.46/1.83 , fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP(
% 1.46/1.83 fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool,
% 1.46/1.83 bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool
% 1.46/1.83 , fun( bool, bool ), X ), fdisj ), Y ) ), Z ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 insert( X ), Y ), Z ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.46/1.83 finite_finite_1( X ), Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL(
% 1.46/1.83 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.46/1.83 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.83 ), Y ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ), hBOOL(
% 1.46/1.83 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.83 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ), hBOOL(
% 1.46/1.83 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.83 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP(
% 1.46/1.83 fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X
% 1.46/1.83 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.83 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP(
% 1.46/1.83 fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X
% 1.46/1.83 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.83 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.46/1.83 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), alpha7( X, Y ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hBOOL( hAPP( fun(
% 1.46/1.83 X, bool ), bool, finite_finite_1( X ), Y ) ) }.
% 1.46/1.83 { ! alpha7( X, Y ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.83 , Y ) ) }.
% 1.46/1.83 { ! alpha7( X, Y ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.83 , skol37( X, Z ) ) ) }.
% 1.46/1.83 { ! alpha7( X, Y ), ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X
% 1.46/1.83 , bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ),
% 1.46/1.83 skol82( X, Y ) ), skol37( X, Y ) ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.46/1.83 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), Z ), ! hBOOL(
% 1.46/1.83 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), alpha7( X, Y ) }
% 1.46/1.83 .
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.83 ( hAPP( fun( X, bool ), bool, Z, bot_bot( fun( X, bool ) ) ) ), hBOOL(
% 1.46/1.83 hAPP( fun( X, bool ), bool, finite_finite_1( X ), skol38( X, T ) ) ),
% 1.46/1.83 hBOOL( hAPP( fun( X, bool ), bool, Z, Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.83 ( hAPP( fun( X, bool ), bool, Z, bot_bot( fun( X, bool ) ) ) ), alpha22(
% 1.46/1.83 X, Z, skol38( X, Z ) ), hBOOL( hAPP( fun( X, bool ), bool, Z, Y ) ) }.
% 1.46/1.83 { ! alpha22( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), bool ), member( X ), skol39( X, T, Z ) ), Z ) ) }.
% 1.46/1.83 { ! alpha22( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ) }.
% 1.46/1.83 { ! alpha22( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun(
% 1.46/1.83 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , insert( X ), skol39( X, Y, Z ) ), Z ) ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), T ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ),
% 1.46/1.83 hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), Z )
% 1.46/1.83 ) ), alpha22( X, Y, Z ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL(
% 1.46/1.83 hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), hAPP( fun( X, bool ),
% 1.46/1.83 fun( Z, bool ), hAPP( fun( X, Z ), fun( fun( X, bool ), fun( Z, bool ) )
% 1.46/1.83 , image( X, Z ), T ), Y ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X
% 1.46/1.83 , fun( fun( X, bool ), bool ), member( X ), skol40( X, Y, U, W ) ), Y ) )
% 1.46/1.83 }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL(
% 1.46/1.83 hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), hAPP( fun( X, bool ),
% 1.46/1.83 fun( Z, bool ), hAPP( fun( X, Z ), fun( fun( X, bool ), fun( Z, bool ) )
% 1.46/1.83 , image( X, Z ), T ), Y ) ) ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.46/1.83 finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool ), collect( X )
% 1.46/1.83 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) )
% 1.46/1.83 , fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP(
% 1.46/1.83 fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool,
% 1.46/1.83 bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool
% 1.46/1.83 , fun( bool, bool ), X ), fconj ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Y ) ) ),
% 1.46/1.83 hAPP( Z, fun( X, bool ), hAPP( fun( X, fun( Z, bool ) ), fun( Z, fun( X,
% 1.46/1.83 bool ) ), combc( X, Z, bool ), hAPP( fun( X, Z ), fun( X, fun( Z, bool )
% 1.46/1.83 ), hAPP( fun( Z, fun( Z, bool ) ), fun( fun( X, Z ), fun( X, fun( Z,
% 1.46/1.83 bool ) ) ), combb( Z, fun( Z, bool ), X ), fequal( Z ) ), T ) ), hAPP( X
% 1.46/1.83 , Z, T, skol40( X, Y, Z, T ) ) ) ) ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( fun( state
% 1.46/1.83 , bool ), fun( com, com ), while, X ), Y ) ), Z ), T ) ), alpha23( X, Z,
% 1.46/1.83 T ), hBOOL( hAPP( state, bool, X, Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( fun( state
% 1.46/1.83 , bool ), fun( com, com ), while, X ), Y ) ), Z ), T ) ), alpha23( X, Z,
% 1.46/1.83 T ), hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com
% 1.46/1.83 , fun( state, fun( state, bool ) ), evalc, Y ), Z ), skol41( U, Y, Z, W )
% 1.46/1.83 ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.83 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( fun( state
% 1.46/1.83 , bool ), fun( com, com ), while, X ), Y ) ), Z ), T ) ), alpha23( X, Z,
% 1.46/1.83 T ), hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com
% 1.46/1.83 , fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( fun(
% 1.46/1.83 state, bool ), fun( com, com ), while, X ), Y ) ), skol41( X, Y, Z, T ) )
% 1.46/1.83 , T ) ) }.
% 1.46/1.83 { ! alpha23( X, Y, Z ), Z = Y }.
% 1.46/1.83 { ! alpha23( X, Y, Z ), ! hBOOL( hAPP( state, bool, X, Y ) ) }.
% 1.46/1.83 { ! Z = Y, hBOOL( hAPP( state, bool, X, Y ) ), alpha23( X, Y, Z ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun(
% 1.46/1.83 com, com ), while, X ), Y ) ), Z ), T ), U ) ), alpha24( X, Z, U ), hBOOL
% 1.46/1.83 ( hAPP( state, bool, X, Z ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun(
% 1.46/1.83 com, com ), while, X ), Y ) ), Z ), T ), U ) ), alpha24( X, Z, U ), hBOOL
% 1.46/1.83 ( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat
% 1.46/1.83 , fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool
% 1.46/1.83 ) ) ), evaln, Y ), Z ), T ), skol42( W, Y, Z, T, V0 ) ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.83 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.83 state, bool ) ) ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun(
% 1.46/1.83 com, com ), while, X ), Y ) ), Z ), T ), U ) ), alpha24( X, Z, U ), hBOOL
% 1.46/1.83 ( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat
% 1.46/1.83 , fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool
% 1.46/1.83 ) ) ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun( com, com )
% 1.46/1.83 , while, X ), Y ) ), skol42( X, Y, Z, T, U ) ), T ), U ) ) }.
% 1.46/1.83 { ! alpha24( X, Y, Z ), Z = Y }.
% 1.46/1.83 { ! alpha24( X, Y, Z ), ! hBOOL( hAPP( state, bool, X, Y ) ) }.
% 1.46/1.83 { ! Z = Y, hBOOL( hAPP( state, bool, X, Y ) ), alpha24( X, Y, Z ) }.
% 1.46/1.83 { ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ti( fun( X, bool ),
% 1.46/1.83 Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool )
% 1.46/1.83 , fun( X, bool ) ), insert( X ), skol43( X, Y ) ), skol83( X, Y ) ) }.
% 1.46/1.83 { ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun(
% 1.46/1.83 X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ),
% 1.46/1.83 skol43( X, Y ) ), skol83( X, Y ) ) ) }.
% 1.46/1.83 { ! ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.46/1.83 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ), hBOOL(
% 1.46/1.83 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.83 ( X ), Z ), T ) ), ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.83 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.46/1.83 ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T )
% 1.46/1.83 ), ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP(
% 1.46/1.83 fun( X, bool ), bool, finite_finite_1( X ), U ) ), ti( fun( X, bool ), U
% 1.46/1.83 ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X
% 1.46/1.83 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.83 ( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), T ), U ) ) = hAPP(
% 1.46/1.83 X, X, hAPP( X, fun( X, X ), Y, hAPP( fun( X, bool ), X, Z, T ) ), hAPP(
% 1.46/1.83 fun( X, bool ), X, Z, U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.83 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.46/1.83 ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T )
% 1.46/1.83 ), ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.83 bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.46/1.83 , bool ), fun( X, bool ) ), insert( X ), U ), T ) ) = hAPP( X, X, hAPP( X
% 1.46/1.83 , fun( X, X ), Y, U ), hAPP( fun( X, bool ), X, Z, T ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.46/1.83 fun( X, bool ), fun( Z, bool ), hAPP( fun( X, Z ), fun( fun( X, bool ),
% 1.46/1.83 fun( Z, bool ) ), image( X, Z ), T ), Y ) = hAPP( fun( X, bool ), fun( Z
% 1.46/1.83 , bool ), hAPP( fun( Z, bool ), fun( fun( X, bool ), fun( Z, bool ) ),
% 1.46/1.83 hAPP( fun( X, fun( Z, bool ) ), fun( fun( Z, bool ), fun( fun( X, bool )
% 1.46/1.83 , fun( Z, bool ) ) ), hAPP( fun( fun( Z, bool ), fun( fun( Z, bool ), fun
% 1.46/1.83 ( Z, bool ) ) ), fun( fun( X, fun( Z, bool ) ), fun( fun( Z, bool ), fun
% 1.46/1.83 ( fun( X, bool ), fun( Z, bool ) ) ) ), finite_fold_image( fun( Z, bool )
% 1.46/1.83 , X ), semilattice_sup_sup( fun( Z, bool ) ) ), hAPP( fun( Z, bool ), fun
% 1.46/1.83 ( X, fun( Z, bool ) ), hAPP( fun( X, fun( fun( Z, bool ), fun( Z, bool )
% 1.46/1.83 ) ), fun( fun( Z, bool ), fun( X, fun( Z, bool ) ) ), combc( X, fun( Z,
% 1.46/1.83 bool ), fun( Z, bool ) ), hAPP( fun( X, Z ), fun( X, fun( fun( Z, bool )
% 1.46/1.83 , fun( Z, bool ) ) ), hAPP( fun( Z, fun( fun( Z, bool ), fun( Z, bool ) )
% 1.46/1.83 ), fun( fun( X, Z ), fun( X, fun( fun( Z, bool ), fun( Z, bool ) ) ) ),
% 1.46/1.83 combb( Z, fun( fun( Z, bool ), fun( Z, bool ) ), X ), insert( Z ) ), T )
% 1.46/1.83 ), bot_bot( fun( Z, bool ) ) ) ), bot_bot( fun( Z, bool ) ) ), Y ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.46/1.83 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun( X, bool
% 1.46/1.83 ), bool, Z, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), insert( X ), skol44( X, Z ) ), bot_bot( fun( X
% 1.46/1.83 , bool ) ) ) ) ), alpha25( X, skol84( X, T ) ), hBOOL( hAPP( fun( X, bool
% 1.46/1.83 ), bool, Z, Y ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.46/1.83 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun( X, bool
% 1.46/1.83 ), bool, Z, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.83 bool ), fun( X, bool ) ), insert( X ), skol44( X, Z ) ), bot_bot( fun( X
% 1.46/1.83 , bool ) ) ) ) ), alpha30( X, Z, skol84( X, Z ) ), hBOOL( hAPP( fun( X,
% 1.46/1.83 bool ), bool, Z, Y ) ) }.
% 1.46/1.83 { ! alpha30( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.83 fun( X, bool ), bool ), member( X ), skol45( X, T, Z ) ), Z ) ) }.
% 1.46/1.83 { ! alpha30( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ) }.
% 1.46/1.83 { ! alpha30( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun(
% 1.46/1.83 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.83 , insert( X ), skol45( X, Y, Z ) ), Z ) ) ) }.
% 1.46/1.83 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), T ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ),
% 1.46/1.83 hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.83 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), Z )
% 1.46/1.83 ) ), alpha30( X, Y, Z ) }.
% 1.46/1.83 { ! alpha25( X, Y ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X
% 1.46/1.83 ), Y ) ) }.
% 1.46/1.83 { ! alpha25( X, Y ), ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) )
% 1.46/1.83 }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.46/1.83 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), alpha25( X, Y ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.83 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.46/1.83 ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), Y, T ), T ) = ti( X, T ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), Y, hAPP( Y, fun( fun( X, bool ), Y ), hAPP( fun( X
% 1.46/1.83 , Y ), fun( Y, fun( fun( X, bool ), Y ) ), hAPP( fun( Y, fun( Y, Y ) ),
% 1.46/1.83 fun( fun( X, Y ), fun( Y, fun( fun( X, bool ), Y ) ) ), finite_fold_image
% 1.46/1.83 ( Y, X ), Z ), T ), U ), bot_bot( fun( X, bool ) ) ) = ti( Y, U ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.83 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.46/1.83 ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T )
% 1.46/1.83 ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ),
% 1.46/1.83 bool ), member( X ), U ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), Y, U )
% 1.46/1.83 , hAPP( fun( X, bool ), X, Z, T ) ) = hAPP( fun( X, bool ), X, Z, T ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.83 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.46/1.83 ), Z ) ), ! hAPP( X, X, T, hAPP( X, X, hAPP( X, fun( X, X ), Y, skol46(
% 1.46/1.83 X, Y, T ) ), skol85( X, Y, T ) ) ) = hAPP( X, X, hAPP( X, fun( X, X ), Y
% 1.46/1.83 , hAPP( X, X, T, skol46( X, Y, T ) ) ), hAPP( X, X, T, skol85( X, Y, T )
% 1.46/1.83 ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), U ) ),
% 1.46/1.83 ti( fun( X, bool ), U ) = bot_bot( fun( X, bool ) ), hAPP( X, X, T, hAPP
% 1.46/1.83 ( fun( X, bool ), X, Z, U ) ) = hAPP( fun( X, bool ), X, Z, hAPP( fun( X
% 1.46/1.83 , bool ), fun( X, bool ), hAPP( fun( X, X ), fun( fun( X, bool ), fun( X
% 1.46/1.83 , bool ) ), image( X, X ), T ), U ) ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.46/1.83 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.46/1.83 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.46/1.83 ), bool ) ), big_comm_monoid_big( Y, X ), Z ), T ), U ) ), ! hBOOL( hAPP
% 1.46/1.83 ( fun( X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool
% 1.46/1.83 ), Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y ), U, W ), V0 ) = hAPP(
% 1.46/1.83 fun( X, bool ), Y, hAPP( Y, fun( fun( X, bool ), Y ), hAPP( fun( X, Y ),
% 1.46/1.83 fun( Y, fun( fun( X, bool ), Y ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( fun
% 1.46/1.83 ( X, Y ), fun( Y, fun( fun( X, bool ), Y ) ) ), finite_fold_image( Y, X )
% 1.46/1.83 , Z ), W ), T ), V0 ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.46/1.83 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.46/1.83 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.46/1.83 ), bool ) ), big_comm_monoid_big( Y, X ), Z ), T ), U ) ), hBOOL( hAPP(
% 1.46/1.83 fun( X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool )
% 1.46/1.83 , Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y ), U, W ), V0 ) = ti( Y, T
% 1.46/1.83 ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.83 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.46/1.83 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.46/1.83 hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.83 member( X ), U ), T ) ), ti( fun( X, bool ), T ) = bot_bot( fun( X, bool
% 1.46/1.83 ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.83 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), U ), T ) ) =
% 1.46/1.83 hAPP( X, X, hAPP( X, fun( X, X ), Y, U ), hAPP( fun( X, bool ), X, Z, T
% 1.46/1.83 ) ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), X, the_1( X ), hAPP( X, fun( X, bool ), fequal( X )
% 1.46/1.83 , Y ) ) = ti( X, Y ) }.
% 1.46/1.83 { hAPP( fun( X, bool ), X, the_1( X ), hAPP( X, fun( X, bool ), hAPP( fun(
% 1.46/1.83 X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X, bool ),
% 1.46/1.83 fequal( X ) ), Y ) ) = ti( X, Y ) }.
% 1.46/1.83 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.46/1.83 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.46/1.83 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.46/1.83 ), bool ) ), big_comm_monoid_big( Y, X ), U ), Z ), T ) ), hBOOL( hAPP(
% 1.46/1.83 fun( X, bool ), bool, finite_finite_1( X ), W ) ), hAPP( fun( X, bool ),
% 1.46/1.83 Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y ), T, V0 ), W ) = ti( Y, Z )
% 1.46/1.84 }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.84 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Z ),
% 1.46/1.84 Y ) ), hAPP( fun( X, bool ), X, Y, hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), bot_bot
% 1.46/1.84 ( fun( X, bool ) ) ) ) = ti( X, T ) }.
% 1.46/1.84 { ! hBOOL( T ), ti( X, Y ) = hAPP( fun( X, bool ), X, the_1( X ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ),
% 1.46/1.84 fun( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun(
% 1.46/1.84 bool, bool ), X ), fconj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb( bool,
% 1.46/1.84 bool, X ), hAPP( bool, fun( bool, bool ), fimplies, T ) ), hAPP( X, fun(
% 1.46/1.84 X, bool ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ),
% 1.46/1.84 combc( X, X, bool ), fequal( X ) ), Y ) ) ) ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ), hAPP( fun( bool, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), combb( bool, bool, X ), hAPP( bool, fun( bool, bool ), fimplies, hAPP
% 1.46/1.84 ( bool, bool, fNot, T ) ) ), hAPP( X, fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.84 X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X, bool ), fequal( X ) )
% 1.46/1.84 , Z ) ) ) ) }.
% 1.46/1.84 { hBOOL( T ), ti( X, Z ) = hAPP( fun( X, bool ), X, the_1( X ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool )
% 1.46/1.84 , fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun
% 1.46/1.84 ( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool,
% 1.46/1.84 bool ), X ), fconj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.84 bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb( bool, bool, X
% 1.46/1.84 ), hAPP( bool, fun( bool, bool ), fimplies, T ) ), hAPP( X, fun( X, bool
% 1.46/1.84 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.46/1.84 , bool ), fequal( X ) ), Y ) ) ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( fun( bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb(
% 1.46/1.84 bool, bool, X ), hAPP( bool, fun( bool, bool ), fimplies, hAPP( bool,
% 1.46/1.84 bool, fNot, T ) ) ), hAPP( X, fun( X, bool ), hAPP( fun( X, fun( X, bool
% 1.46/1.84 ) ), fun( X, fun( X, bool ) ), combc( X, X, bool ), fequal( X ) ), Z ) )
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, Y, skol47( X, Y,
% 1.46/1.84 T ) ) ), hAPP( fun( X, bool ), X, the_1( X ), Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! ti( X, skol47( X, Y, Z ) ) = ti( X, Z
% 1.46/1.84 ), hAPP( fun( X, bool ), X, the_1( X ), Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.84 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.46/1.84 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.46/1.84 ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun(
% 1.46/1.84 X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), hAPP
% 1.46/1.84 ( X, X, hAPP( X, fun( X, X ), Y, skol48( X, Y ) ), skol86( X, Y ) ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.84 X, bool ) ), insert( X ), skol48( X, Y ) ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ),
% 1.46/1.84 skol86( X, Y ) ), bot_bot( fun( X, bool ) ) ) ) ) ), hBOOL( hAPP( fun( X
% 1.46/1.84 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), hAPP(
% 1.46/1.84 fun( X, bool ), X, Z, T ) ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.46/1.84 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.46/1.84 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.46/1.84 ), bool ) ), big_comm_monoid_big( Y, X ), T ), U ), Z ) ), ! ti( fun( X
% 1.46/1.84 , bool ), W ) = ti( fun( X, bool ), V0 ), hBOOL( hAPP( fun( X, bool ),
% 1.46/1.84 bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol49( X, V3,
% 1.46/1.84 V0, V4, V5 ) ), V0 ) ), hAPP( fun( X, bool ), Y, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( X, bool ), Y ), Z, V1 ), W ) = hAPP( fun( X, bool ), Y, hAPP( fun( X
% 1.46/1.84 , Y ), fun( fun( X, bool ), Y ), Z, V2 ), V0 ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.46/1.84 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.46/1.84 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.46/1.84 ), bool ) ), big_comm_monoid_big( Y, X ), T ), U ), Z ) ), ! ti( fun( X
% 1.46/1.84 , bool ), W ) = ti( fun( X, bool ), V0 ), ! hAPP( X, Y, V1, skol49( X, Y
% 1.46/1.84 , V0, V1, V2 ) ) = hAPP( X, Y, V2, skol49( X, Y, V0, V1, V2 ) ), hAPP(
% 1.46/1.84 fun( X, bool ), Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y ), Z, V1 ),
% 1.46/1.84 W ) = hAPP( fun( X, bool ), Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y
% 1.46/1.84 ), Z, V2 ), V0 ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, Y, skol50( X, Y,
% 1.46/1.84 T ) ) ), hBOOL( hAPP( X, bool, Y, hAPP( fun( X, bool ), X, the_1( X ), Y
% 1.46/1.84 ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! ti( X, skol50( X, Y, Z ) ) = ti( X, Z
% 1.46/1.84 ), hBOOL( hAPP( X, bool, Y, hAPP( fun( X, bool ), X, the_1( X ), Y ) ) )
% 1.46/1.84 }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, Y, skol51( X, Y,
% 1.46/1.84 T ) ) ), ! hBOOL( hAPP( X, bool, Y, U ) ), hAPP( fun( X, bool ), X, the_1
% 1.46/1.84 ( X ), Y ) = ti( X, U ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! ti( X, skol51( X, Y, Z ) ) = ti( X, Z
% 1.46/1.84 ), ! hBOOL( hAPP( X, bool, Y, T ) ), hAPP( fun( X, bool ), X, the_1( X )
% 1.46/1.84 , Y ) = ti( X, T ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, Y, skol52( X, Y,
% 1.46/1.84 T ) ) ), hBOOL( hAPP( X, bool, Y, hAPP( fun( X, bool ), X, the_1( X ), Y
% 1.46/1.84 ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! ti( X, skol52( X, Y, Z ) ) = ti( X, Z
% 1.46/1.84 ), hBOOL( hAPP( X, bool, Y, hAPP( fun( X, bool ), X, the_1( X ), Y ) ) )
% 1.46/1.84 }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.84 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.84 state, bool ) ) ), evaln, X ), Y ), T ), Z ) ), ! hBOOL( hAPP( state,
% 1.46/1.84 bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state,
% 1.46/1.84 bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln
% 1.46/1.84 , U ), W ), V1 ), V0 ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state
% 1.46/1.84 , bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun(
% 1.46/1.84 state, fun( nat, fun( state, bool ) ) ), evaln, U ), W ), skol53( V2, V3
% 1.46/1.84 , V4, U, W, V0 ) ), V0 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.84 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.84 state, bool ) ) ), evaln, X ), Y ), T ), Z ) ), ! hBOOL( hAPP( state,
% 1.46/1.84 bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state,
% 1.46/1.84 bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln
% 1.46/1.84 , U ), W ), V1 ), V0 ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state
% 1.46/1.84 , bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun(
% 1.46/1.84 state, fun( nat, fun( state, bool ) ) ), evaln, X ), Y ), skol53( X, Y, Z
% 1.46/1.84 , U, W, V0 ) ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite908156982e_idem( Y, X ), Z ), U ), W ), T ) ), ! hBOOL( hAPP( fun(
% 1.46/1.84 X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, finite_finite_1( X ), V1 ) ), hAPP( fun( X, bool ), Y, T,
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), V0 ), V1
% 1.46/1.84 ) ) = hAPP( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( fun( X, bool ), Y, T,
% 1.46/1.84 V0 ) ), hAPP( fun( X, bool ), Y, T, V1 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite908156982e_idem( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun(
% 1.46/1.84 X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool ), Y, U
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), insert( X ), V1 ), V0 ) ) = hAPP( Y, Y, hAPP( Y, fun( Y, Y
% 1.46/1.84 ), Z, hAPP( X, Y, T, V1 ) ), hAPP( fun( X, bool ), Y, U, V0 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( Z, bool ), X ), bool, hAPP( fun( Z, X ), fun(
% 1.46/1.84 fun( fun( Z, bool ), X ), bool ), hAPP( X, fun( fun( Z, X ), fun( fun(
% 1.46/1.84 fun( Z, bool ), X ), bool ) ), hAPP( fun( X, fun( X, X ) ), fun( X, fun(
% 1.46/1.84 fun( Z, X ), fun( fun( fun( Z, bool ), X ), bool ) ) ),
% 1.46/1.84 finite908156982e_idem( X, Z ), Y ), T ), U ), W ) ), hAPP( X, X, hAPP( X
% 1.46/1.84 , fun( X, X ), Y, V0 ), V0 ) = ti( X, V0 ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite908156982e_idem( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun(
% 1.46/1.84 X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), V1 ), V0
% 1.46/1.84 ) ), hAPP( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( X, Y, T, V1 ) ), hAPP(
% 1.46/1.84 fun( X, bool ), Y, U, V0 ) ) = hAPP( fun( X, bool ), Y, U, V0 ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), skol54( X, Y, T ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), ti( fun( X, bool ), Z ) = hAPP( fun( X, bool )
% 1.46/1.84 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.46/1.84 ( X ), Y ), skol54( X, Y, Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), skol55( X, Y, T ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), ti( fun( X, bool ), Z ) = hAPP( fun( X, bool )
% 1.46/1.84 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.46/1.84 ( X ), Y ), skol55( X, Y, Z ) ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), skol56( X, Y ) ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot(
% 1.46/1.84 fun( X, bool ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool
% 1.46/1.84 ), Z ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.46/1.84 fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X
% 1.46/1.84 ), Y ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), Z ) ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), Y ), bot_bot( fun( X, bool ) ) ) ) = ti( X, Y ) }
% 1.46/1.84 .
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), bool ), member( X ), Z ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), Y ) ) = hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), Y ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool )
% 1.46/1.84 , bool ), member( X ), Z ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun
% 1.46/1.84 ( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), Y ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hAPP( fun(
% 1.46/1.84 X, bool ), X, big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X,
% 1.46/1.84 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z )
% 1.46/1.84 , Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z )
% 1.46/1.84 , hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), Y ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hAPP( X, X, Y, hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), skol57( X, Y ) ), skol87( X, Y ) ) ) = hAPP( X
% 1.46/1.84 , X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), hAPP( X, X, Y,
% 1.46/1.84 skol57( X, Y ) ) ), hAPP( X, X, Y, skol87( X, Y ) ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool ), Z ) =
% 1.46/1.84 bot_bot( fun( X, bool ) ), hAPP( X, X, Y, hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), Z ) ) = hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, X ), fun( fun( X, bool ), fun( X, bool ) ), image( X, X ), Y ), Z )
% 1.46/1.84 ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.84 ( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), skol58
% 1.46/1.84 ( X ) ), skol88( X ) ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), fun( X, bool ) ), insert( X ), skol58( X ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), skol88( X ) ), bot_bot( fun( X, bool ) ) ) ) ) ),
% 1.46/1.84 hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), Y ) ), Y
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z
% 1.46/1.84 ) = bot_bot( fun( X, bool ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.46/1.84 , Z ) ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) ) = hAPP
% 1.46/1.84 ( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), hAPP( fun( X,
% 1.46/1.84 bool ), X, big_lattice_Sup_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), Z ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool
% 1.46/1.84 ), Z ) = bot_bot( fun( X, bool ) ), ! hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.46/1.84 ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X
% 1.46/1.84 , hAPP( X, fun( X, X ), semilattice_sup_sup( X ), hAPP( fun( X, bool ), X
% 1.46/1.84 , big_lattice_Sup_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! hBOOL( hAPP( X, bool, T, Z ) ), hBOOL
% 1.46/1.84 ( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X,
% 1.46/1.84 bool ) ), Y ), T ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ), hBOOL( hAPP( fun( X
% 1.46/1.84 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T )
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), Y ), Z ), T ) ), hBOOL( hAPP( X, bool, Y, T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), Y ), Z ), T ) ), hBOOL( hAPP( X, bool, Z, T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), semilattice_inf_inf( fun( X, bool ) ), Z ), Y ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), semilattice_inf_inf( fun( X, bool ) ), Z ), Y ) ) ) }.
% 1.46/1.84 { ! bounded_lattice_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), bot_bot( X ) ) = bot_bot( X ) }.
% 1.46/1.84 { ! bounded_lattice_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), bot_bot( X ) ), Y ) = bot_bot( X ) }.
% 1.46/1.84 { ! distrib_lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.46/1.84 X ), semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Z ), T ) ) }.
% 1.46/1.84 { ! distrib_lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.46/1.84 X ), semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), T ) ) }.
% 1.46/1.84 { ! distrib_lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Y ), T ) ) }.
% 1.46/1.84 { ! distrib_lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), T ) ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.46/1.84 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y )
% 1.46/1.84 , Z ) ) = ti( X, Y ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.46/1.84 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y )
% 1.46/1.84 , Z ) ) = ti( X, Y ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z
% 1.46/1.84 ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP
% 1.46/1.84 ( X, fun( fun( X, bool ), bool ), member( X ), T ), Y ) ), alpha8( X, Z,
% 1.46/1.84 T ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), skol59( X, Y, T ) ), Y ) ), hAPP( fun( X, bool ), fun( X,
% 1.46/1.84 bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.46/1.84 ) }.
% 1.46/1.84 { ! alpha8( X, Z, skol59( X, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.46/1.84 ) }.
% 1.46/1.84 { ! alpha8( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.84 fun( X, bool ), bool ), member( X ), T ), Y ) ), ! ti( X, Z ) = ti( X, T
% 1.46/1.84 ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), skol60( X, Y, T ) ), Y ) ), alpha8( X, Y, Z ) }.
% 1.46/1.84 { ti( X, Z ) = ti( X, skol60( X, Y, Z ) ), alpha8( X, Y, Z ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.46/1.84 bot_bot( fun( X, bool ) ) ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), bot_bot
% 1.46/1.84 ( fun( X, bool ) ) ), Y ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Y )
% 1.46/1.84 = ti( fun( X, bool ), Y ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Y ) = ti( X, Y ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Y ) = ti( X, Y ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y
% 1.46/1.84 , X ), fun( fun( Y, X ), fun( Y, X ) ), semilattice_inf_inf( fun( Y, X )
% 1.46/1.84 ), Z ), T ), U ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf
% 1.46/1.84 ( X ), hAPP( Y, X, Z, U ) ), hAPP( Y, X, T, U ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 = hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool
% 1.46/1.84 ), fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun(
% 1.46/1.84 X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ),
% 1.46/1.84 X ), fconj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.46/1.84 fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X
% 1.46/1.84 , fun( X, bool ), bool ), member( X ) ), Y ) ) ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X )
% 1.46/1.84 ), Z ) ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun(
% 1.46/1.84 X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ),
% 1.46/1.84 Y ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), Y ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.46/1.84 ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X )
% 1.46/1.84 , Z ), Y ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), Y ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y )
% 1.46/1.84 , Z ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.46/1.84 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y )
% 1.46/1.84 , Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y )
% 1.46/1.84 , Z ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T )
% 1.46/1.84 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), T ) ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.46/1.84 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z )
% 1.46/1.84 , T ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z )
% 1.46/1.84 , hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), T ) )
% 1.46/1.84 }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ), hBOOL( hAPP( fun( X
% 1.46/1.84 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T )
% 1.46/1.84 ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T
% 1.46/1.84 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.46/1.84 X ), semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), T ) ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.46/1.84 ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), Z )
% 1.46/1.84 ), T ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y )
% 1.46/1.84 , hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z ), T ) )
% 1.46/1.84 }.
% 1.46/1.84 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.46/1.84 X ), semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), T ) ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y
% 1.46/1.84 , X ), fun( fun( Y, X ), fun( Y, X ) ), semilattice_inf_inf( fun( Y, X )
% 1.46/1.84 ), Z ), T ), U ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf
% 1.46/1.84 ( X ), hAPP( Y, X, Z, U ) ), hAPP( Y, X, T, U ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), T ), Z ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), Y ), T ), Z ) ), hBOOL( hAPP( X, bool, Y, Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), T ), Y ), Z ) ), hBOOL( hAPP( X, bool, Y, Z ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool )
% 1.46/1.84 , fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ),
% 1.46/1.84 X ), fconj ), Y ) ), Z ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), collect( X ), Y ) ), hAPP( fun( X, bool ), fun( X, bool ), collect( X
% 1.46/1.84 ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), T )
% 1.46/1.84 ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ),
% 1.46/1.84 bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), T )
% 1.46/1.84 ) ) ), hBOOL( hAPP( X, bool, T, Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, T, Y ) ), hBOOL( hAPP
% 1.46/1.84 ( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X )
% 1.46/1.84 , Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun(
% 1.46/1.84 fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ),
% 1.46/1.84 Z ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), T ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun
% 1.46/1.84 ( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc
% 1.46/1.84 ( X, fun( X, bool ), bool ), member( X ) ), Y ) ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X )
% 1.46/1.84 ), Z ) ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X
% 1.46/1.84 , bool ), bool ), member( X ), T ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Y ), Z ) ) ), hBOOL( hAPP( X, bool, hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X,
% 1.46/1.84 bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Y )
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( fun( X, bool
% 1.46/1.84 ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X, fun( X,
% 1.46/1.84 bool ), bool ), member( X ) ), Z ) ), T ) ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.46/1.84 ), Y ), Y ) = ti( X, Y ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.46/1.84 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), Y )
% 1.46/1.84 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T )
% 1.46/1.84 ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun(
% 1.46/1.84 fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ),
% 1.46/1.84 T ), Y ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T
% 1.46/1.84 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), T )
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z )
% 1.46/1.84 , T ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ), T
% 1.46/1.84 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T )
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z )
% 1.46/1.84 , T ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T )
% 1.46/1.84 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.46/1.84 , T ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T )
% 1.46/1.84 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y )
% 1.46/1.84 , T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), T )
% 1.46/1.84 ), Z ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), T ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y
% 1.46/1.84 ), T ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ) ), Z ) = hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), Z ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ) ) = hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ) ) =
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y )
% 1.46/1.84 ), T ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Z ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Y ), T ) ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ), T ) = hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), T ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z
% 1.46/1.84 ), Y ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Z ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), T ), Y ) ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ) = hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), Y ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), bool ), member( X ), Z ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), Y ) ) = ti( X, Z ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.46/1.84 bool ), fun( Y, bool ) ), image( X, Y ), hAPP( fun( X, Y ), fun( X, Y ),
% 1.46/1.84 hAPP( fun( X, fun( Y, Y ) ), fun( fun( X, Y ), fun( X, Y ) ), combs( X, Y
% 1.46/1.84 , Y ), hAPP( fun( X, Y ), fun( X, fun( Y, Y ) ), hAPP( fun( X, fun( Y,
% 1.46/1.84 fun( Y, Y ) ) ), fun( fun( X, Y ), fun( X, fun( Y, Y ) ) ), combs( X, Y,
% 1.46/1.84 fun( Y, Y ) ), hAPP( fun( X, bool ), fun( X, fun( Y, fun( Y, Y ) ) ),
% 1.46/1.84 hAPP( fun( bool, fun( Y, fun( Y, Y ) ) ), fun( fun( X, bool ), fun( X,
% 1.46/1.84 fun( Y, fun( Y, Y ) ) ) ), combb( bool, fun( Y, fun( Y, Y ) ), X ), if( Y
% 1.46/1.84 ) ), Z ) ), T ) ), U ) ), W ) = hAPP( fun( Y, bool ), fun( Y, bool ),
% 1.46/1.84 hAPP( fun( Y, bool ), fun( fun( Y, bool ), fun( Y, bool ) ),
% 1.46/1.84 semilattice_sup_sup( fun( Y, bool ) ), hAPP( fun( X, bool ), fun( Y, bool
% 1.46/1.84 ), hAPP( fun( X, Y ), fun( fun( X, bool ), fun( Y, bool ) ), image( X, Y
% 1.46/1.84 ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) )
% 1.46/1.84 , W ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Z ) ) ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.46/1.84 bool ), fun( Y, bool ) ), image( X, Y ), U ), hAPP( fun( X, bool ), fun(
% 1.46/1.84 X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), W ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.46/1.84 bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb( bool, bool, X
% 1.46/1.84 ), fNot ), Z ) ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.84 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.46/1.84 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.46/1.84 ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), U ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), U ) =
% 1.46/1.84 bot_bot( fun( X, bool ) ), hAPP( X, X, hAPP( X, fun( X, X ), Y, hAPP( fun
% 1.46/1.84 ( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.46/1.84 X, bool ) ), T ), U ) ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), U ) ) ) = hAPP( X,
% 1.46/1.84 X, hAPP( X, fun( X, X ), Y, hAPP( fun( X, bool ), X, Z, T ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), X, Z, U ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.84 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.46/1.84 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.46/1.84 ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun(
% 1.46/1.84 X, bool ), bool, finite_finite_1( X ), U ) ), ti( fun( X, bool ), U ) =
% 1.46/1.84 bot_bot( fun( X, bool ) ), ! hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), T ), U ) = bot_bot( fun( X, bool )
% 1.46/1.84 ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_sup_sup( fun( X, bool ) ), T ), U ) ) = hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), Y, hAPP( fun( X, bool ), X, Z, T ) ), hAPP( fun( X, bool ),
% 1.46/1.84 X, Z, U ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup(
% 1.46/1.84 X ), skol61( X ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf
% 1.46/1.84 ( X ), skol89( X ) ), skol97( X ) ) ) = hAPP( X, X, hAPP( X, fun( X, X )
% 1.46/1.84 , semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), skol61( X ) ), skol89( X ) ) ), hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), semilattice_sup_sup( X ), skol61( X ) ), skol97( X
% 1.46/1.84 ) ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ),
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z ), T ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), Z ) ), hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), T ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf(
% 1.46/1.84 X ), skol62( X ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup
% 1.46/1.84 ( X ), skol90( X ) ), skol98( X ) ) ) = hAPP( X, X, hAPP( X, fun( X, X )
% 1.46/1.84 , semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), skol62( X ) ), skol90( X ) ) ), hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), semilattice_inf_inf( X ), skol62( X ) ), skol98( X
% 1.46/1.84 ) ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ),
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z ), T ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), Z ) ), hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), Z ), U ), W ), T ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, finite_finite_1( X ), V1 ) ), ! hAPP( fun( X, bool ), fun(
% 1.46/1.84 X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), V0 ), V1 ) = bot_bot( fun( X, bool
% 1.46/1.84 ) ), hAPP( fun( X, bool ), Y, T, hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_sup_sup( fun( X, bool ) ), V0 ), V1 ) ) = hAPP( Y, Y, hAPP( Y
% 1.46/1.84 , fun( Y, Y ), Z, hAPP( fun( X, bool ), Y, T, V0 ) ), hAPP( fun( X, bool
% 1.46/1.84 ), Y, T, V1 ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool
% 1.46/1.84 ), Z ) = bot_bot( fun( X, bool ) ), ! hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.46/1.84 ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X
% 1.46/1.84 , hAPP( X, fun( X, X ), semilattice_inf_inf( X ), hAPP( fun( X, bool ), X
% 1.46/1.84 , big_lattice_Inf_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), U ), Z ), W ), T ) ), hAPP( fun( X, bool
% 1.46/1.84 ), Y, T, bot_bot( fun( X, bool ) ) ) = ti( Y, Z ) }.
% 1.46/1.84 { ! lattice( X ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), Y ), bot_bot( fun( X, bool ) ) ) ) = ti( X, Y ) }
% 1.46/1.84 .
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), bool ), member( X ), Z ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), Y ) ) = ti( X, Z ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), bool ), member( X ), Z ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), Y ) ) = hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), Y ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), V1 ), V0
% 1.46/1.84 ) ), hAPP( fun( X, bool ), Y, U, hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), V1 ), V0 ) )
% 1.46/1.84 = hAPP( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( X, Y, T, V1 ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), Y, U, V0 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), Z ), T ), U ), W ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool ), Y
% 1.46/1.84 , W, V0 ) = hAPP( fun( X, bool ), Y, hAPP( Y, fun( fun( X, bool ), Y ),
% 1.46/1.84 hAPP( fun( X, Y ), fun( Y, fun( fun( X, bool ), Y ) ), hAPP( fun( Y, fun
% 1.46/1.84 ( Y, Y ) ), fun( fun( X, Y ), fun( Y, fun( fun( X, bool ), Y ) ) ),
% 1.46/1.84 finite_fold_image( Y, X ), Z ), U ), T ), V0 ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool )
% 1.46/1.84 , bool ), member( X ), Z ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun
% 1.46/1.84 ( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), Y ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hAPP( fun(
% 1.46/1.84 X, bool ), X, big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X,
% 1.46/1.84 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z )
% 1.46/1.84 , Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z )
% 1.46/1.84 , hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), Y ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool
% 1.46/1.84 ), Z ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.46/1.84 fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X
% 1.46/1.84 ), Y ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), Z ), U ), W ), T ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, finite_finite_1( X ), V1 ) ), hAPP( Y, Y, hAPP( Y, fun( Y,
% 1.46/1.84 Y ), Z, hAPP( fun( X, bool ), Y, T, hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_sup_sup( fun( X, bool ) ), V0 ), V1 ) ) ), hAPP( fun( X, bool
% 1.46/1.84 ), Y, T, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) )
% 1.46/1.84 , V0 ), V1 ) ) ) = hAPP( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( fun( X,
% 1.46/1.84 bool ), Y, T, V0 ) ), hAPP( fun( X, bool ), Y, T, V1 ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z
% 1.46/1.84 ) = bot_bot( fun( X, bool ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.46/1.84 , Z ) ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) ) = hAPP
% 1.46/1.84 ( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), hAPP( fun( X,
% 1.46/1.84 bool ), X, big_lattice_Inf_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), Z ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hAPP( X, X, Y, hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), skol63( X, Y ) ), skol91( X, Y ) ) ) = hAPP( X
% 1.46/1.84 , X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), hAPP( X, X, Y,
% 1.46/1.84 skol63( X, Y ) ) ), hAPP( X, X, Y, skol91( X, Y ) ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool ), Z ) =
% 1.46/1.84 bot_bot( fun( X, bool ) ), hAPP( X, X, Y, hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), Z ) ) = hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, X ), fun( fun( X, bool ), fun( X, bool ) ), image( X, X ), Y ), Z )
% 1.46/1.84 ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.84 ( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), skol64
% 1.46/1.84 ( X ) ), skol92( X ) ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), fun( X, bool ) ), insert( X ), skol64( X ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), skol92( X ) ), bot_bot( fun( X, bool ) ) ) ) ) ),
% 1.46/1.84 hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), Y ) ), Y
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), Z ), T ), U ), W ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, finite_finite_1( X ), V1 ) ), hBOOL( hAPP( fun( X, bool ),
% 1.46/1.84 bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol65( X, V2,
% 1.46/1.84 V3, V4, V0, V1 ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), V0 ), V1 ) ) ), hAPP( fun( X, bool ), Y, W, hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), V0 ), V1 ) ) = hAPP( Y
% 1.46/1.84 , Y, hAPP( Y, fun( Y, Y ), Z, hAPP( fun( X, bool ), Y, W, V0 ) ), hAPP(
% 1.46/1.84 fun( X, bool ), Y, W, V1 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), Z ), T ), U ), W ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, finite_finite_1( X ), V1 ) ), ! hAPP( X, Y, U, skol65( X, Y
% 1.46/1.84 , T, U, V0, V1 ) ) = ti( Y, T ), hAPP( fun( X, bool ), Y, W, hAPP( fun( X
% 1.46/1.84 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), V0 ), V1 ) ) = hAPP
% 1.46/1.84 ( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( fun( X, bool ), Y, W, V0 ) ), hAPP
% 1.46/1.84 ( fun( X, bool ), Y, W, V1 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), W ), Z ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol66(
% 1.46/1.84 X, V1, V2, V3, V0 ) ), V0 ) ), hAPP( fun( X, bool ), Y, U, V0 ) = ti( Y,
% 1.46/1.84 Z ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), W ), Z ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hAPP( X, Y, T, skol66
% 1.46/1.84 ( X, Y, Z, T, V0 ) ) = ti( Y, Z ), hAPP( fun( X, bool ), Y, U, V0 ) = ti
% 1.46/1.84 ( Y, Z ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = bot_bot
% 1.46/1.84 ( fun( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.84 X, bool ) ), insert( X ), Z ), Y ) ) = ti( X, Z ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.84 X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = bot_bot(
% 1.46/1.84 fun( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.46/1.84 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) )
% 1.46/1.84 ) ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), bool ), member( X ), Z ), Y ) ), ! hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.46/1.84 bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), X, big_lattice_Inf_fin( X ), Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), bool ), member( X ), Z ), Y ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.46/1.84 bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), X, big_lattice_Inf_fin( X ), Y ) = hAPP( X, X, hAPP( X, fun( X, X
% 1.46/1.84 ), semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.46/1.84 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) )
% 1.46/1.84 ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.46/1.84 ( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), Z ), T ) ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.84 fun( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ), hBOOL( hAPP( fun( X
% 1.46/1.84 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), minus_minus( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), Y ) ) =
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), Z ) = hAPP
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.46/1.84 ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ), T ) = hAPP
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.46/1.84 ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X
% 1.46/1.84 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), T ), Z ) ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.84 fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.46/1.84 ( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! minus( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y, X
% 1.46/1.84 ), fun( fun( Y, X ), fun( Y, X ) ), minus_minus( fun( Y, X ) ), Z ), T )
% 1.46/1.84 , U ) = hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), hAPP( Y, X, Z
% 1.46/1.84 , U ) ), hAPP( Y, X, T, U ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), Z ) = hAPP( fun( X
% 1.46/1.84 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.46/1.84 ( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), Z ), T ) ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.84 fun( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ), hBOOL( hAPP( fun( X
% 1.46/1.84 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) = hAPP
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X, fun
% 1.46/1.84 ( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X, bool
% 1.46/1.84 ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ), X ),
% 1.46/1.84 fconj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( fun( X
% 1.46/1.84 , bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X, fun
% 1.46/1.84 ( X, bool ), bool ), member( X ) ), Y ) ) ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( fun( bool, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , combb( bool, bool, X ), fNot ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Z ) ) ) ) }
% 1.46/1.84 .
% 1.46/1.84 { ! minus( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y, X
% 1.46/1.84 ), fun( fun( Y, X ), fun( Y, X ) ), minus_minus( fun( Y, X ) ), Z ), T )
% 1.46/1.84 , U ) = hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), hAPP( Y, X, Z
% 1.46/1.84 , U ) ), hAPP( Y, X, T, U ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.46/1.84 X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ), T ) = hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.46/1.84 bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ), T ) = hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 insert( X ), Z ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.46/1.84 X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Y ), T ) ), Z ) = hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), T ), Z ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), bot_bot( fun( X
% 1.46/1.84 , bool ) ) ), Y ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), bot_bot(
% 1.46/1.84 fun( X, bool ) ) ) = ti( fun( X, bool ), Y ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Y ) =
% 1.46/1.84 bot_bot( fun( X, bool ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool )
% 1.46/1.84 , fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool
% 1.46/1.84 ) ), minus_minus( fun( X, bool ) ), Z ), Y ) ) ), hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, finite_finite_1( X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP(
% 1.46/1.84 fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X
% 1.46/1.84 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 minus_minus( fun( X, bool ) ), Z ), Y ) ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.46/1.84 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), Z ) ) =
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), T ) = hAPP
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.46/1.84 ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X, bool )
% 1.46/1.84 , fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool
% 1.46/1.84 ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T ) = hAPP
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.46/1.84 ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) =
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.46/1.84 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.46/1.84 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.84 , Y ), bot_bot( fun( X, bool ) ) ) ) ) = ti( fun( X, bool ), Z ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.46/1.84 bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Y ), Z ) ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.84 ), Y ), bot_bot( fun( X, bool ) ) ) ) = ti( fun( X, bool ), Z ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.84 X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.46/1.84 ( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun
% 1.46/1.84 ( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.46/1.84 fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), bot_bot( fun( X, bool
% 1.46/1.84 ) ) ) ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Y ), Z ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , insert( X ), Z ), T ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.46/1.84 X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ), T ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , insert( X ), Z ), T ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.46/1.84 X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y )
% 1.46/1.84 , T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.84 , Z ), T ) ) ) ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ) ) }
% 1.46/1.84 .
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ) ), hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X,
% 1.46/1.84 bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) )
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z
% 1.46/1.84 ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus
% 1.46/1.84 ( fun( X, bool ) ), Y ), Z ) = ti( fun( X, bool ), Y ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), Y ) ) =
% 1.46/1.84 bot_bot( fun( X, bool ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.46/1.84 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) = ti
% 1.46/1.84 ( fun( X, bool ), Y ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) = hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) = hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool ), Y
% 1.46/1.84 , U, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ),
% 1.46/1.84 fun( X, bool ) ), insert( X ), V1 ), V0 ) ) = hAPP( Y, Y, hAPP( Y, fun( Y
% 1.46/1.84 , Y ), Z, hAPP( X, Y, T, V1 ) ), hAPP( fun( X, bool ), Y, U, hAPP( fun( X
% 1.46/1.84 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), minus_minus( fun( X, bool ) ), V0 ), hAPP( fun( X, bool )
% 1.46/1.84 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.46/1.84 ( X ), V1 ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.46/1.84 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.46/1.84 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.46/1.84 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.46/1.84 finite1357897459simple( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.46/1.84 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.46/1.84 bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), V1 ), V0
% 1.46/1.84 ) ), hAPP( fun( X, bool ), Y, U, V0 ) = hAPP( Y, Y, hAPP( Y, fun( Y, Y )
% 1.46/1.84 , Z, hAPP( X, Y, T, V1 ) ), hAPP( fun( X, bool ), Y, U, hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), V0 ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.84 ), V1 ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.84 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.46/1.84 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.46/1.84 ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), T ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X,
% 1.46/1.84 bool ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), U ), T )
% 1.46/1.84 ) = ti( X, U ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.84 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.46/1.84 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), T ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool
% 1.46/1.84 ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), U ), T ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), Y, U ), hAPP( fun( X, bool ), X, Z,
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), T ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.84 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.46/1.84 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.46/1.84 ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), U ), T ) ), ! hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.46/1.84 X, bool ) ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), insert( X ), U ), bot_bot( fun( X, bool )
% 1.46/1.84 ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X, Z, T ) = ti
% 1.46/1.84 ( X, U ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.46/1.84 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.46/1.84 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.46/1.84 ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), U ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.46/1.84 X, bool ) ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ) ), insert( X ), U ), bot_bot( fun( X, bool )
% 1.46/1.84 ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X, Z, T ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), Y, U ), hAPP( fun( X, bool ), X, Z,
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), T ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), bool ), member( X ), Z ), Y ) ), ! hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.46/1.84 bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), X, big_lattice_Sup_fin( X ), Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.46/1.84 ), bool ), member( X ), Z ), Y ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.46/1.84 bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.46/1.84 bool ), X, big_lattice_Sup_fin( X ), Y ) = hAPP( X, X, hAPP( X, fun( X, X
% 1.46/1.84 ), semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.46/1.84 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) )
% 1.46/1.84 ) ) ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y )
% 1.46/1.84 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = bot_bot
% 1.46/1.84 ( fun( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.84 X, bool ) ), insert( X ), Z ), Y ) ) = ti( X, Z ) }.
% 1.46/1.84 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.46/1.84 , Y ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.84 X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = bot_bot(
% 1.46/1.84 fun( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.46/1.84 bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.46/1.84 big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.46/1.84 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) )
% 1.46/1.84 ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, Z, Y ) ), hBOOL( hAPP( fun( X, bool ), bool
% 1.46/1.84 , finite_finite_1( X ), skol67( X, T ) ) ), hBOOL( hAPP( fun( X, bool ),
% 1.46/1.84 bool, Z, bot_bot( fun( X, bool ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, Z, Y ) ), alpha26( X, Z, skol67( X, Z ) ),
% 1.46/1.84 hBOOL( hAPP( fun( X, bool ), bool, Z, bot_bot( fun( X, bool ) ) ) ) }.
% 1.46/1.84 { ! alpha26( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.46/1.84 fun( X, bool ), bool ), member( X ), skol68( X, T, Z ) ), Z ) ) }.
% 1.46/1.84 { ! alpha26( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ) }.
% 1.46/1.84 { ! alpha26( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.84 ), skol68( X, Y, Z ) ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.46/1.84 , member( X ), T ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) )
% 1.46/1.84 , hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun( X, bool ), fun( X,
% 1.46/1.84 bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 minus_minus( fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool )
% 1.46/1.84 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ),
% 1.46/1.84 bot_bot( fun( X, bool ) ) ) ) ) ), alpha26( X, Y, Z ) }.
% 1.46/1.84 { ! group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y
% 1.46/1.84 ), Z ) = zero_zero( X ), ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! group_add( X ), ! ti( X, Y ) = ti( X, Z ), hAPP( X, X, hAPP( X, fun( X
% 1.46/1.84 , X ), minus_minus( X ), Y ), Z ) = zero_zero( X ) }.
% 1.46/1.84 { ! ab_group_add( X ), ! ti( X, Y ) = ti( X, Z ), hAPP( X, X, hAPP( X, fun
% 1.46/1.84 ( X, X ), minus_minus( X ), Y ), Z ) = zero_zero( X ) }.
% 1.46/1.84 { ! ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X )
% 1.46/1.84 , Y ), Z ) = zero_zero( X ), ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, suc, X ) ), hAPP( nat, nat, suc, Y ) ) = hAPP( nat, nat, hAPP( nat
% 1.46/1.84 , fun( nat, nat ), minus_minus( nat ), X ), Y ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat, nat,
% 1.46/1.84 suc, X ) ), Y ) ), hAPP( nat, nat, suc, Z ) ) = hAPP( nat, nat, hAPP( nat
% 1.46/1.84 , fun( nat, nat ), minus_minus( nat ), hAPP( nat, nat, hAPP( nat, fun(
% 1.46/1.84 nat, nat ), minus_minus( nat ), X ), Y ) ), Z ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), zero_zero
% 1.46/1.84 ( nat ) ), X ) = zero_zero( nat ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ),
% 1.46/1.84 zero_zero( nat ) ) = X }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), X )
% 1.46/1.84 = zero_zero( nat ) }.
% 1.46/1.84 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y
% 1.46/1.84 ) = zero_zero( nat ), ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 minus_minus( nat ), Y ), X ) = zero_zero( nat ), X = Y }.
% 1.46/1.84 { ! zero( X ), ! zero_zero( X ) = ti( X, Y ), ti( X, Y ) = zero_zero( X ) }
% 1.46/1.84 .
% 1.46/1.84 { ! zero( X ), ! ti( X, Y ) = zero_zero( X ), zero_zero( X ) = ti( X, Y ) }
% 1.46/1.84 .
% 1.46/1.84 { ! ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X )
% 1.46/1.84 , Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), T ), U )
% 1.46/1.84 , ! ti( X, Y ) = ti( X, Z ), ti( X, T ) = ti( X, U ) }.
% 1.46/1.84 { ! ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X )
% 1.46/1.84 , Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), T ), U )
% 1.46/1.84 , ! ti( X, T ) = ti( X, U ), ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! group_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y )
% 1.46/1.84 , zero_zero( X ) ) = ti( X, Y ) }.
% 1.46/1.84 { ! group_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y )
% 1.46/1.84 , Y ) = zero_zero( X ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, fun( fun( X, bool ), fun( X, bool ) ) ), bool,
% 1.46/1.84 finite_comp_fun_idem( X, fun( X, bool ) ), hAPP( fun( X, fun( X, bool ) )
% 1.46/1.84 , fun( X, fun( fun( X, bool ), fun( X, bool ) ) ), hAPP( fun( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ) ), fun( fun( X, fun( X,
% 1.46/1.84 bool ) ), fun( X, fun( fun( X, bool ), fun( X, bool ) ) ) ), combb( fun(
% 1.46/1.84 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), X ), hAPP( fun( fun( X
% 1.46/1.84 , bool ), fun( fun( X, bool ), fun( X, bool ) ) ), fun( fun( X, bool ),
% 1.46/1.84 fun( fun( X, bool ), fun( X, bool ) ) ), combc( fun( X, bool ), fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ) ) ), hAPP( fun( X
% 1.46/1.84 , bool ), fun( X, fun( X, bool ) ), hAPP( fun( X, fun( fun( X, bool ),
% 1.46/1.84 fun( X, bool ) ) ), fun( fun( X, bool ), fun( X, fun( X, bool ) ) ),
% 1.46/1.84 combc( X, fun( X, bool ), fun( X, bool ) ), insert( X ) ), bot_bot( fun(
% 1.46/1.84 X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( nat, bool, X, Y ) ), hBOOL( hAPP( nat, bool, X, hAPP( nat
% 1.46/1.84 , nat, suc, skol69( X ) ) ) ), hBOOL( hAPP( nat, bool, X, hAPP( nat, nat
% 1.46/1.84 , hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), Z ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( nat, bool, X, Y ) ), ! hBOOL( hAPP( nat, bool, X, skol69(
% 1.46/1.84 X ) ) ), hBOOL( hAPP( nat, bool, X, hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.46/1.84 nat ), minus_minus( nat ), Y ), Z ) ) ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y ) ), Z ) =
% 1.46/1.84 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Z ) ), Y ) }
% 1.46/1.84 .
% 1.46/1.84 { ! semilattice_sup( X ), hBOOL( hAPP( fun( X, fun( X, X ) ), bool,
% 1.46/1.84 finite_comp_fun_idem( X, X ), semilattice_sup_sup( X ) ) ) }.
% 1.46/1.84 { ! semilattice_inf( X ), hBOOL( hAPP( fun( X, fun( X, X ) ), bool,
% 1.46/1.84 finite_comp_fun_idem( X, X ), semilattice_inf_inf( X ) ) ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, fun( fun( X, bool ), fun( X, bool ) ) ), bool,
% 1.46/1.84 finite_comp_fun_idem( X, fun( X, bool ) ), insert( X ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, fun( Y, Y ) ), bool, finite_comp_fun_idem( X, Y )
% 1.46/1.84 , Z ) ), hAPP( Y, Y, hAPP( X, fun( Y, Y ), Z, T ), hAPP( Y, Y, hAPP( X,
% 1.46/1.84 fun( Y, Y ), Z, T ), U ) ) = hAPP( Y, Y, hAPP( X, fun( Y, Y ), Z, T ), U
% 1.46/1.84 ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), hAPP
% 1.46/1.84 ( nat, nat, suc, Y ) ) = hAPP( nat, nat, hAPP( fun( nat, nat ), fun( nat
% 1.46/1.84 , nat ), hAPP( nat, fun( fun( nat, nat ), fun( nat, nat ) ), nat_case(
% 1.46/1.84 nat ), zero_zero( nat ) ), combi( nat ) ), hAPP( nat, nat, hAPP( nat, fun
% 1.46/1.84 ( nat, nat ), minus_minus( nat ), X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.46/1.84 fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y )
% 1.46/1.84 ) = hAPP( nat, nat, suc, hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), nat, finite_card( X ), Y ) = zero_zero( nat ) }.
% 1.46/1.84 { hAPP( fun( X, bool ), nat, finite_card( X ), bot_bot( fun( X, bool ) ) )
% 1.46/1.84 = zero_zero( nat ) }.
% 1.46/1.84 { hAPP( nat, X, hAPP( fun( nat, X ), fun( nat, X ), hAPP( X, fun( fun( nat
% 1.46/1.84 , X ), fun( nat, X ) ), nat_case( X ), Y ), Z ), zero_zero( nat ) ) = ti
% 1.46/1.84 ( X, Y ) }.
% 1.46/1.84 { hAPP( nat, X, hAPP( fun( nat, X ), fun( nat, X ), hAPP( X, fun( fun( nat
% 1.46/1.84 , X ), fun( nat, X ) ), nat_case( X ), Y ), Z ), hAPP( nat, nat, suc, T )
% 1.46/1.84 ) = hAPP( nat, X, Z, T ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = zero_zero( nat ), ti
% 1.46/1.84 ( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun( X
% 1.46/1.84 , bool ), bool, finite_finite_1( X ), Y ) ) }.
% 1.46/1.84 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool
% 1.46/1.84 ), nat, finite_card( X ), Y ) = zero_zero( nat ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), nat, finite_card( X ), Y ) = zero_zero( nat ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.46/1.84 X, bool ) ), insert( X ), Z ), Y ) ) = hAPP( fun( X, bool ), nat,
% 1.46/1.84 finite_card( X ), Y ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.84 ( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), insert( X ), Z ), Y ) ) = hAPP( nat, nat, suc, hAPP( fun( X, bool ),
% 1.46/1.84 nat, finite_card( X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.84 ( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), insert( X ), Z ), Y ) ) = hAPP( nat, nat, suc, hAPP( fun( X, bool ),
% 1.46/1.84 nat, finite_card( X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) ), hAPP(
% 1.46/1.84 fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 minus_minus( fun( X, bool ) ), Y ), Z ) ) = hAPP( nat, nat, hAPP( nat,
% 1.46/1.84 fun( nat, nat ), minus_minus( nat ), hAPP( fun( X, bool ), nat,
% 1.46/1.84 finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), Y ) ), hAPP( nat, nat, suc, hAPP( fun( X, bool ), nat,
% 1.46/1.84 finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) )
% 1.46/1.84 ) ) = hAPP( fun( X, bool ), nat, finite_card( X ), Y ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.46/1.84 , Z ), ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ),
% 1.46/1.84 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), skol70( X, Y
% 1.46/1.84 , Z ) ), skol93( X, Y, Z ) ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.46/1.84 , Z ), alpha16( X, Z, skol70( X, Y, Z ), skol93( X, Y, Z ) ) }.
% 1.46/1.84 { ! ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.46/1.84 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), U ), ! alpha16
% 1.46/1.84 ( X, Z, T, U ), hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP(
% 1.46/1.84 nat, nat, suc, Z ) }.
% 1.46/1.84 { ! alpha16( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Z ), T ) ) }.
% 1.46/1.84 { ! alpha16( X, Y, Z, T ), alpha9( X, Y, T ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), T ) ), ! alpha9( X, Y, T ), alpha16( X, Y, Z, T ) }.
% 1.46/1.84 { ! alpha9( X, Y, Z ), hAPP( fun( X, bool ), nat, finite_card( X ), Z ) = Y
% 1.46/1.84 }.
% 1.46/1.84 { ! alpha9( X, Y, Z ), alpha17( X, Y, Z ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Z ) = Y, ! alpha17( X, Y,
% 1.46/1.84 Z ), alpha9( X, Y, Z ) }.
% 1.46/1.84 { ! alpha17( X, Y, Z ), ! Y = zero_zero( nat ), ti( fun( X, bool ), Z ) =
% 1.46/1.84 bot_bot( fun( X, bool ) ) }.
% 1.46/1.84 { Y = zero_zero( nat ), alpha17( X, Y, Z ) }.
% 1.46/1.84 { ! ti( fun( X, bool ), Z ) = bot_bot( fun( X, bool ) ), alpha17( X, Y, Z )
% 1.46/1.84 }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.46/1.84 , Z ), hAPP( fun( X, bool ), nat, finite_card( X ), skol94( X, T, Z ) ) =
% 1.46/1.84 Z }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.46/1.84 , Z ), ! Z = zero_zero( nat ), ti( fun( X, bool ), skol94( X, T, Z ) ) =
% 1.46/1.84 bot_bot( fun( X, bool ) ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.46/1.84 , Z ), alpha27( X, Y, skol71( X, Y, Z ), skol94( X, Y, Z ) ) }.
% 1.46/1.84 { ! alpha27( X, Y, Z, T ), ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ),
% 1.46/1.84 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.46/1.84 ), Z ), T ) }.
% 1.46/1.84 { ! alpha27( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.46/1.84 fun( fun( X, bool ), bool ), member( X ), Z ), T ) ) }.
% 1.46/1.84 { ! ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.46/1.84 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.84 ( X ), Z ), T ) ), alpha27( X, Y, Z, T ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) = hAPP( nat, nat,
% 1.46/1.84 hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( fun( X, bool ), nat
% 1.46/1.84 , finite_card( X ), Y ) ), one_one( nat ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.46/1.84 , insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) = hAPP( nat, nat,
% 1.46/1.84 hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( fun( X, bool ), nat
% 1.46/1.84 , finite_card( X ), Y ) ), one_one( nat ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.84 ( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.46/1.84 fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) = hAPP( fun( X, bool )
% 1.46/1.84 , nat, finite_card( X ), Y ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, suc, X ) ), one_one( nat ) ) = X }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), hAPP
% 1.46/1.84 ( nat, nat, suc, Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 minus_minus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 minus_minus( nat ), X ), one_one( nat ) ) ), Y ) }.
% 1.46/1.84 { one_one( nat ) = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.46/1.84 { ! one( X ), ! one_one( X ) = ti( X, Y ), ti( X, Y ) = one_one( X ) }.
% 1.46/1.84 { ! one( X ), ! ti( X, Y ) = one_one( X ), one_one( X ) = ti( X, Y ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.46/1.84 ( fun( X, bool ), bool ), member( X ), Z ), T ) ), hAPP( fun( X, bool ),
% 1.46/1.84 nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X
% 1.46/1.84 , bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.46/1.84 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.46/1.84 , bool ), fun( X, bool ) ), insert( X ), Z ), T ) ) ) = hAPP( nat, nat,
% 1.46/1.84 hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( fun( X, bool ), nat
% 1.46/1.84 , finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.46/1.84 ) ), Y ), T ) ) ), one_one( nat ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.84 ( X ), skol72( X, Y ) ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X
% 1.46/1.84 ), Y ) = zero_zero( nat ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), !
% 1.46/1.84 one_one( nat ) = zero_zero( nat ), hAPP( fun( X, bool ), nat, finite_card
% 1.46/1.84 ( X ), Y ) = zero_zero( nat ) }.
% 1.46/1.84 { ! zero_neq_one( X ), ! zero_zero( X ) = one_one( X ) }.
% 1.46/1.84 { ! zero_neq_one( X ), ! one_one( X ) = zero_zero( X ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.46/1.84 fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.46/1.84 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y )
% 1.46/1.84 ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ),
% 1.46/1.84 one_one( nat ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.46/1.84 fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool
% 1.46/1.84 ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.46/1.84 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), Y )
% 1.46/1.84 = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), one_one
% 1.46/1.84 ( nat ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.46/1.84 , bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.46/1.84 , Z ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.46/1.84 { hAPP( nat, nat, suc, X ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 plus_plus( nat ), X ), one_one( nat ) ) }.
% 1.46/1.84 { hAPP( nat, nat, suc, X ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 plus_plus( nat ), one_one( nat ) ), X ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), hAPP(
% 1.46/1.84 nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z ), Y ) ) = hAPP
% 1.46/1.84 ( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Z ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), hAPP(
% 1.46/1.84 nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z ) ) = hAPP
% 1.46/1.84 ( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), Z ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y ) ), Z ) =
% 1.46/1.84 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), hAPP
% 1.46/1.84 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), Z ) ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), X ) = Y
% 1.46/1.84 }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), Y ) = X
% 1.46/1.84 }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), hAPP
% 1.46/1.84 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ) =
% 1.46/1.84 zero_zero( nat ) }.
% 1.46/1.84 { ! group_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP
% 1.46/1.84 ( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y ), Z ) ), Z ) = ti( X,
% 1.46/1.84 Y ) }.
% 1.46/1.84 { ! group_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ),
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), Z ) = ti( X
% 1.46/1.84 , Y ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) =
% 1.46/1.84 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), X ) }
% 1.46/1.84 .
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), hAPP(
% 1.46/1.84 nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), Z ) ) = hAPP
% 1.46/1.84 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z ) ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.46/1.84 nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), Z ) = hAPP
% 1.46/1.84 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), hAPP( nat
% 1.46/1.84 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), Z ) ) }.
% 1.46/1.84 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.46/1.84 = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z )
% 1.46/1.84 , Y = Z }.
% 1.46/1.84 { ! Y = Z, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X
% 1.46/1.84 ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X
% 1.46/1.84 ), Z ) }.
% 1.46/1.84 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.46/1.84 = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z ), Y )
% 1.46/1.84 , X = Z }.
% 1.46/1.84 { ! X = Z, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X
% 1.46/1.84 ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z
% 1.46/1.84 ), Y ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.46/1.84 nat, suc, X ) ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 plus_plus( nat ), X ), hAPP( nat, nat, suc, Y ) ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.46/1.84 nat, suc, X ) ), Y ) = hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat,
% 1.46/1.84 fun( nat, nat ), plus_plus( nat ), X ), Y ) ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), hAPP(
% 1.46/1.84 nat, nat, suc, Y ) ) = hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat,
% 1.46/1.84 fun( nat, nat ), plus_plus( nat ), X ), Y ) ) }.
% 1.46/1.84 { ! hAPP( nat, nat, suc, zero_zero( nat ) ) = hAPP( nat, nat, hAPP( nat,
% 1.46/1.84 fun( nat, nat ), plus_plus( nat ), X ), Y ), alpha10( X, Y ), alpha18( X
% 1.46/1.84 , Y ) }.
% 1.46/1.84 { ! alpha10( X, Y ), hAPP( nat, nat, suc, zero_zero( nat ) ) = hAPP( nat,
% 1.46/1.84 nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) }.
% 1.46/1.84 { ! alpha18( X, Y ), hAPP( nat, nat, suc, zero_zero( nat ) ) = hAPP( nat,
% 1.46/1.84 nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) }.
% 1.46/1.84 { ! alpha18( X, Y ), X = zero_zero( nat ) }.
% 1.46/1.84 { ! alpha18( X, Y ), Y = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.46/1.84 { ! X = zero_zero( nat ), ! Y = hAPP( nat, nat, suc, zero_zero( nat ) ),
% 1.46/1.84 alpha18( X, Y ) }.
% 1.46/1.84 { ! alpha10( X, Y ), X = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.46/1.84 { ! alpha10( X, Y ), Y = zero_zero( nat ) }.
% 1.46/1.84 { ! X = hAPP( nat, nat, suc, zero_zero( nat ) ), ! Y = zero_zero( nat ),
% 1.46/1.84 alpha10( X, Y ) }.
% 1.46/1.84 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.46/1.84 = hAPP( nat, nat, suc, zero_zero( nat ) ), alpha11( X, Y ), alpha19( X, Y
% 1.46/1.84 ) }.
% 1.46/1.84 { ! alpha11( X, Y ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.46/1.84 ( nat ), X ), Y ) = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.46/1.84 { ! alpha19( X, Y ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.46/1.84 ( nat ), X ), Y ) = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.46/1.84 { ! alpha19( X, Y ), X = zero_zero( nat ) }.
% 1.46/1.84 { ! alpha19( X, Y ), Y = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.46/1.84 { ! X = zero_zero( nat ), ! Y = hAPP( nat, nat, suc, zero_zero( nat ) ),
% 1.46/1.84 alpha19( X, Y ) }.
% 1.46/1.84 { ! alpha11( X, Y ), X = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.46/1.84 { ! alpha11( X, Y ), Y = zero_zero( nat ) }.
% 1.46/1.84 { ! X = hAPP( nat, nat, suc, zero_zero( nat ) ), ! Y = zero_zero( nat ),
% 1.46/1.84 alpha11( X, Y ) }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), zero_zero(
% 1.46/1.84 nat ) ), X ) = X }.
% 1.46/1.84 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ),
% 1.46/1.84 zero_zero( nat ) ) = X }.
% 1.46/1.84 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.46/1.84 = zero_zero( nat ), X = zero_zero( nat ) }.
% 1.46/1.84 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.46/1.84 = zero_zero( nat ), Y = zero_zero( nat ) }.
% 1.46/1.84 { ! X = zero_zero( nat ), ! Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat
% 1.46/1.84 , fun( nat, nat ), plus_plus( nat ), X ), Y ) = zero_zero( nat ) }.
% 1.46/1.84 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), X )
% 1.46/1.84 = Y, X = zero_zero( nat ) }.
% 1.46/1.84 { ! comm_monoid_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , Y ), zero_zero( X ) ) = ti( X, Y ) }.
% 1.46/1.84 { ! monoid_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y )
% 1.46/1.84 , zero_zero( X ) ) = ti( X, Y ) }.
% 1.46/1.84 { ! linord219039673up_add( X ), ! zero_zero( X ) = hAPP( X, X, hAPP( X, fun
% 1.46/1.84 ( X, X ), plus_plus( X ), Y ), Y ), ti( X, Y ) = zero_zero( X ) }.
% 1.46/1.84 { ! linord219039673up_add( X ), ! ti( X, Y ) = zero_zero( X ), zero_zero( X
% 1.46/1.84 ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Y ) }.
% 1.46/1.84 { ! comm_monoid_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , zero_zero( X ) ), Y ) = ti( X, Y ) }.
% 1.46/1.84 { ! monoid_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.46/1.84 zero_zero( X ) ), Y ) = ti( X, Y ) }.
% 1.46/1.84 { ! ab_semigroup_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), hAPP( X, X, hAPP(
% 1.46/1.84 X, fun( X, X ), plus_plus( X ), Z ), T ) ) }.
% 1.46/1.84 { ! cancel_semigroup_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.46/1.84 ), Y ), T ), ti( X, Z ) = ti( X, T ) }.
% 1.46/1.84 { ! cancel_semigroup_add( X ), ! ti( X, Z ) = ti( X, T ), hAPP( X, X, hAPP
% 1.46/1.84 ( X, fun( X, X ), plus_plus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X
% 1.46/1.84 , X ), plus_plus( X ), Y ), T ) }.
% 1.46/1.84 { ! cancel_semigroup_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.46/1.84 ), T ), Z ), ti( X, Y ) = ti( X, T ) }.
% 1.46/1.84 { ! cancel_semigroup_add( X ), ! ti( X, Y ) = ti( X, T ), hAPP( X, X, hAPP
% 1.46/1.84 ( X, fun( X, X ), plus_plus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X
% 1.46/1.84 , X ), plus_plus( X ), T ), Z ) }.
% 1.46/1.84 { ! cancel_semigroup_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), T ), Y ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.46/1.84 ), T ), Z ), ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! cancel146912293up_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), T ), Y ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.46/1.84 ), T ), Z ), ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! cancel_semigroup_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), Y ), T ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.46/1.84 ), Z ), T ), ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hAPP( nat, nat
% 1.46/1.84 , hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun( X, bool ), nat
% 1.46/1.84 , finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.46/1.84 X, bool ) ), Y ), Z ) ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.46/1.84 ( fun( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat
% 1.46/1.84 , finite_card( X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hAPP( nat, nat
% 1.46/1.84 , hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun( X, bool ), nat
% 1.46/1.84 , finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), Z
% 1.46/1.84 ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.46/1.84 ( fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X,
% 1.46/1.84 bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.46/1.84 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ), hAPP( fun( X, bool )
% 1.46/1.84 , nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.46/1.84 fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.46/1.84 { ! Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 plus_plus( nat ), Y ), X ) = X }.
% 1.46/1.84 { Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 plus_plus( nat ), Y ), X ) = hAPP( nat, nat, suc, hAPP( nat, nat, hAPP(
% 1.46/1.84 nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun(
% 1.46/1.84 nat, nat ), minus_minus( nat ), Y ), one_one( nat ) ) ), X ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.46/1.84 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.46/1.84 ( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.46/1.84 ), insert( X ), Z ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.46/1.84 , plus_plus( nat ), one_one( nat ) ), hAPP( fun( X, bool ), nat,
% 1.46/1.84 finite_card( X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.46/1.84 fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( fun( X, bool ), nat,
% 1.46/1.84 hAPP( nat, fun( fun( X, bool ), nat ), hAPP( fun( X, nat ), fun( nat, fun
% 1.46/1.84 ( fun( X, bool ), nat ) ), hAPP( fun( nat, fun( nat, nat ) ), fun( fun( X
% 1.46/1.84 , nat ), fun( nat, fun( fun( X, bool ), nat ) ) ), finite_fold_image( nat
% 1.46/1.84 , X ), plus_plus( nat ) ), hAPP( nat, fun( X, nat ), combk( nat, X ),
% 1.46/1.84 one_one( nat ) ) ), zero_zero( nat ) ), Y ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), nat, finite_card( X ), Y ) = zero_zero( nat ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.46/1.84 fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( fun( X, bool ), nat,
% 1.46/1.84 hAPP( nat, fun( fun( X, bool ), nat ), hAPP( fun( X, nat ), fun( nat, fun
% 1.46/1.84 ( fun( X, bool ), nat ) ), hAPP( fun( nat, fun( nat, nat ) ), fun( fun( X
% 1.46/1.84 , nat ), fun( nat, fun( fun( X, bool ), nat ) ) ), finite_fold_image( nat
% 1.46/1.84 , X ), plus_plus( nat ) ), hAPP( nat, fun( X, nat ), combk( nat, X ),
% 1.46/1.84 one_one( nat ) ) ), zero_zero( nat ) ), Y ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ! hAPP( fun( X
% 1.46/1.84 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.46/1.84 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot
% 1.46/1.84 ( fun( X, bool ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP(
% 1.46/1.84 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.46/1.84 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) =
% 1.46/1.84 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun(
% 1.46/1.84 X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat,
% 1.46/1.84 finite_card( X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP(
% 1.46/1.84 fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ),
% 1.46/1.84 skol73( X, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.46/1.84 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.46/1.84 X, bool ) ), Y ), Z ) ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.46/1.84 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.46/1.84 ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP(
% 1.46/1.84 fun( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat,
% 1.46/1.84 finite_card( X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ! one_one( nat
% 1.46/1.84 ) = zero_zero( nat ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP
% 1.46/1.84 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.46/1.84 ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) =
% 1.46/1.84 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun
% 1.46/1.84 ( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat,
% 1.46/1.84 finite_card( X ), Z ) ) }.
% 1.46/1.84 { hAPP( com, nat, com_size, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.46/1.84 semi, X ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.46/1.84 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ),
% 1.46/1.84 hAPP( com, nat, com_size, X ) ), hAPP( com, nat, com_size, Y ) ) ), hAPP
% 1.46/1.84 ( nat, nat, suc, zero_zero( nat ) ) ) }.
% 1.46/1.84 { hAPP( com, nat, com_size, hAPP( pname, com, body, X ) ) = zero_zero( nat
% 1.46/1.84 ) }.
% 1.46/1.84 { hAPP( com, nat, com_size, skip ) = zero_zero( nat ) }.
% 1.46/1.84 { hAPP( com, nat, com_size, hAPP( com, com, hAPP( fun( state, bool ), fun(
% 1.46/1.84 com, com ), while, X ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.46/1.84 ), plus_plus( nat ), hAPP( com, nat, com_size, Y ) ), hAPP( nat, nat,
% 1.46/1.84 suc, zero_zero( nat ) ) ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , zero_zero( X ) ), Y ) = ti( X, Y ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , Y ), zero_zero( X ) ) = ti( X, Y ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), hAPP( X,
% 1.46/1.84 X, hAPP( X, fun( X, X ), plus_plus( X ), T ), U ) ) = hAPP( X, X, hAPP( X
% 1.46/1.84 , fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.46/1.84 X ), Z ), U ) ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), plus_plus( X ), Y ), T ) ), Z ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), hAPP( X, X, hAPP(
% 1.46/1.84 X, fun( X, X ), plus_plus( X ), Z ), T ) ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , Y ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , Y ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), hAPP( X, X, hAPP(
% 1.46/1.84 X, fun( X, X ), plus_plus( X ), Y ), T ) ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), Y ) }
% 1.46/1.84 .
% 1.46/1.84 { ! semiri456707255roduct( X ), ! ti( X, Y ) = hAPP( X, X, hAPP( X, fun( X
% 1.46/1.84 , X ), plus_plus( X ), Y ), Z ), ti( X, Z ) = zero_zero( X ) }.
% 1.46/1.84 { ! semiri456707255roduct( X ), ! ti( X, Z ) = zero_zero( X ), ti( X, Y ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) }.
% 1.46/1.84 { ! linord219039673up_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), Y ), Y ) = zero_zero( X ), ti( X, Y ) = zero_zero( X ) }
% 1.46/1.84 .
% 1.46/1.84 { ! linord219039673up_add( X ), ! ti( X, Y ) = zero_zero( X ), hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), plus_plus( X ), Y ), Y ) = zero_zero( X ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( Y, bool ), bool, finite_finite_1( Y ), T ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hAPP( fun(
% 1.46/1.84 sum_sum( Y, X ), bool ), nat, finite_card( sum_sum( Y, X ) ), hAPP( fun(
% 1.46/1.84 X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool ), fun( fun(
% 1.46/1.84 X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X ), T ), Z ) ) =
% 1.46/1.84 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun
% 1.46/1.84 ( Y, bool ), nat, finite_card( Y ), T ) ), hAPP( fun( X, bool ), nat,
% 1.46/1.84 finite_card( X ), Z ) ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( Y, bool ), bool, finite_finite_1( Y ), T ) ), hAPP( fun
% 1.46/1.84 ( sum_sum( Y, X ), bool ), nat, finite_card( sum_sum( Y, X ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X ), T ), Z ) )
% 1.46/1.84 = zero_zero( nat ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hAPP( fun
% 1.46/1.84 ( sum_sum( Y, X ), bool ), nat, finite_card( sum_sum( Y, X ) ), hAPP( fun
% 1.46/1.84 ( X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool ), fun( fun
% 1.46/1.84 ( X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X ), T ), Z ) )
% 1.46/1.84 = zero_zero( nat ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( sum_sum( X, Y ), bool ), bool, finite_finite_1(
% 1.46/1.84 sum_sum( X, Y ) ), hAPP( fun( Y, bool ), fun( sum_sum( X, Y ), bool ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( fun( Y, bool ), fun( sum_sum( X, Y ), bool ) )
% 1.46/1.84 , sum_Plus( X, Y ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.46/1.84 finite_finite_1( X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( sum_sum( X, Y ), bool ), bool, finite_finite_1(
% 1.46/1.84 sum_sum( X, Y ) ), hAPP( fun( Y, bool ), fun( sum_sum( X, Y ), bool ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( fun( Y, bool ), fun( sum_sum( X, Y ), bool ) )
% 1.46/1.84 , sum_Plus( X, Y ), Z ), T ) ) ), hBOOL( hAPP( fun( Y, bool ), bool,
% 1.46/1.84 finite_finite_1( Y ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( Y, bool ), bool, finite_finite_1( Y ), T ) ), hBOOL( hAPP(
% 1.46/1.84 fun( sum_sum( X, Y ), bool ), bool, finite_finite_1( sum_sum( X, Y ) ),
% 1.46/1.84 hAPP( fun( Y, bool ), fun( sum_sum( X, Y ), bool ), hAPP( fun( X, bool )
% 1.46/1.84 , fun( fun( Y, bool ), fun( sum_sum( X, Y ), bool ) ), sum_Plus( X, Y ),
% 1.46/1.84 Z ), T ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), T ) ), hBOOL( hAPP(
% 1.46/1.84 fun( sum_sum( X, Z ), bool ), bool, finite_finite_1( sum_sum( X, Z ) ),
% 1.46/1.84 hAPP( fun( Z, bool ), fun( sum_sum( X, Z ), bool ), hAPP( fun( X, bool )
% 1.46/1.84 , fun( fun( Z, bool ), fun( sum_sum( X, Z ), bool ) ), sum_Plus( X, Z ),
% 1.46/1.84 Y ), T ) ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( sum_sum( X, Z ), bool ), bool, finite_finite_1(
% 1.46/1.84 sum_sum( X, Z ) ), hAPP( fun( Z, bool ), fun( sum_sum( X, Z ), bool ),
% 1.46/1.84 hAPP( fun( X, bool ), fun( fun( Z, bool ), fun( sum_sum( X, Z ), bool ) )
% 1.46/1.84 , sum_Plus( X, Z ), Y ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.46/1.84 finite_finite_1( X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( sum_sum( Z, X ), bool ), bool, finite_finite_1(
% 1.46/1.84 sum_sum( Z, X ) ), hAPP( fun( X, bool ), fun( sum_sum( Z, X ), bool ),
% 1.46/1.84 hAPP( fun( Z, bool ), fun( fun( X, bool ), fun( sum_sum( Z, X ), bool ) )
% 1.46/1.84 , sum_Plus( Z, X ), T ), Y ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.46/1.84 finite_finite_1( X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.46/1.84 ( hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), T ) ), hAPP( fun(
% 1.46/1.84 sum_sum( X, Z ), bool ), nat, finite_card( sum_sum( X, Z ) ), hAPP( fun(
% 1.46/1.84 Z, bool ), fun( sum_sum( X, Z ), bool ), hAPP( fun( X, bool ), fun( fun(
% 1.46/1.84 Z, bool ), fun( sum_sum( X, Z ), bool ) ), sum_Plus( X, Z ), Y ), T ) ) =
% 1.46/1.84 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun
% 1.46/1.84 ( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( Z, bool ), nat,
% 1.46/1.84 finite_card( Z ), T ) ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool
% 1.46/1.84 ), fun( fun( X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X )
% 1.46/1.84 , Z ), T ) = bot_bot( fun( sum_sum( Y, X ), bool ) ), ti( fun( Y, bool )
% 1.46/1.84 , Z ) = bot_bot( fun( Y, bool ) ) }.
% 1.46/1.84 { ! hAPP( fun( X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool
% 1.46/1.84 ), fun( fun( X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X )
% 1.46/1.84 , Z ), T ) = bot_bot( fun( sum_sum( Y, X ), bool ) ), ti( fun( X, bool )
% 1.46/1.84 , T ) = bot_bot( fun( X, bool ) ) }.
% 1.46/1.84 { ! ti( fun( Y, bool ), Z ) = bot_bot( fun( Y, bool ) ), ! ti( fun( X, bool
% 1.46/1.84 ), T ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), fun( sum_sum(
% 1.46/1.84 Y, X ), bool ), hAPP( fun( Y, bool ), fun( fun( X, bool ), fun( sum_sum(
% 1.46/1.84 Y, X ), bool ) ), sum_Plus( Y, X ), Z ), T ) = bot_bot( fun( sum_sum( Y,
% 1.46/1.84 X ), bool ) ) }.
% 1.46/1.84 { hAPP( com, nat, size_size( com ), hAPP( com, com, hAPP( com, fun( com,
% 1.46/1.84 com ), semi, X ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.46/1.84 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.46/1.84 nat ), hAPP( com, nat, size_size( com ), X ) ), hAPP( com, nat, size_size
% 1.46/1.84 ( com ), Y ) ) ), hAPP( nat, nat, suc, zero_zero( nat ) ) ) }.
% 1.46/1.84 { hAPP( com, nat, size_size( com ), hAPP( pname, com, body, X ) ) =
% 1.46/1.84 zero_zero( nat ) }.
% 1.46/1.84 { hAPP( com, nat, size_size( com ), skip ) = zero_zero( nat ) }.
% 1.46/1.84 { hAPP( com, nat, size_size( com ), hAPP( com, com, hAPP( fun( state, bool
% 1.46/1.84 ), fun( com, com ), while, X ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun(
% 1.46/1.84 nat, nat ), plus_plus( nat ), hAPP( com, nat, size_size( com ), Y ) ),
% 1.46/1.84 hAPP( nat, nat, suc, zero_zero( nat ) ) ) }.
% 1.46/1.84 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.46/1.84 finite_finite_1( Y ), Z ) ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.46/1.84 finite_finite_1( Y ), T ) ), ! hAPP( fun( Y, bool ), fun( Y, bool ), hAPP
% 1.46/1.84 ( fun( Y, bool ), fun( fun( Y, bool ), fun( Y, bool ) ),
% 1.46/1.84 semilattice_inf_inf( fun( Y, bool ) ), Z ), T ) = bot_bot( fun( Y, bool )
% 1.46/1.84 ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun
% 1.46/1.84 ( Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) )
% 1.46/1.84 , fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ),
% 1.46/1.84 finite_fold_image( X, Y ), times_times( X ) ), U ), one_one( X ) ), hAPP
% 1.46/1.84 ( fun( Y, bool ), fun( Y, bool ), hAPP( fun( Y, bool ), fun( fun( Y, bool
% 1.46/1.84 ), fun( Y, bool ) ), semilattice_sup_sup( fun( Y, bool ) ), Z ), T ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( fun( Y, bool )
% 1.46/1.84 , X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun(
% 1.46/1.84 fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun
% 1.46/1.84 ( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times
% 1.46/1.84 ( X ) ), U ), one_one( X ) ), Z ) ), hAPP( fun( Y, bool ), X, hAPP( X,
% 1.46/1.84 fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool )
% 1.46/1.84 , X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun
% 1.46/1.84 ( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) ), U )
% 1.46/1.84 , one_one( X ) ), T ) ) }.
% 1.46/1.84 { hAPP( com, nat, size_size( com ), hAPP( com, com, hAPP( com, fun( com,
% 1.46/1.84 com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ),
% 1.46/1.84 Y ), Z ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat )
% 1.46/1.84 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( com
% 1.46/1.84 , nat, size_size( com ), Y ) ), hAPP( com, nat, size_size( com ), Z ) ) )
% 1.46/1.84 , hAPP( nat, nat, suc, zero_zero( nat ) ) ) }.
% 1.46/1.84 { hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP( nat
% 1.46/1.84 , fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP(
% 1.46/1.84 com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z ), Y ), T ),
% 1.46/1.84 U ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP(
% 1.46/1.84 state, fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat,
% 1.46/1.84 fun( state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com )
% 1.46/1.84 , hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ), W ),
% 1.46/1.84 Z ) ), Y ), T ), U ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.46/1.84 nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ),
% 1.46/1.84 hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z ), Y )
% 1.46/1.84 , T ), U ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ),
% 1.46/1.84 hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun(
% 1.46/1.84 nat, fun( state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com,
% 1.46/1.84 com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ),
% 1.46/1.84 Z ), W ) ), Y ), T ), U ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.84 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.84 state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.46/1.84 hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ), Y ), Z
% 1.46/1.84 ) ), T ), U ), W ) ), alpha28( X, Y, T, U, W ), ! hBOOL( hAPP( state,
% 1.46/1.84 bool, X, T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.46/1.84 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.46/1.84 state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.46/1.84 hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ), Y ), Z
% 1.46/1.84 ) ), T ), U ), W ) ), alpha28( X, Y, T, U, W ), hBOOL( hAPP( state, bool
% 1.46/1.84 , hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool
% 1.46/1.84 ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z )
% 1.46/1.84 , T ), U ), W ) ) }.
% 1.46/1.84 { ! alpha28( X, Y, Z, T, U ), hBOOL( hAPP( state, bool, X, Z ) ) }.
% 1.46/1.84 { ! alpha28( X, Y, Z, T, U ), hBOOL( hAPP( state, bool, hAPP( nat, fun(
% 1.46/1.84 state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com,
% 1.46/1.84 fun( state, fun( nat, fun( state, bool ) ) ), evaln, Y ), Z ), T ), U ) )
% 1.46/1.84 }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, X, Z ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.46/1.84 nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ),
% 1.46/1.84 hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Y ), Z )
% 1.46/1.84 , T ), U ) ), alpha28( X, Y, Z, T, U ) }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.84 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( com, fun(
% 1.46/1.84 com, com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond,
% 1.46/1.84 X ), Y ), Z ) ), T ), U ) ), alpha29( X, Y, T, U ), ! hBOOL( hAPP( state
% 1.46/1.84 , bool, X, T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.46/1.84 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( com, fun(
% 1.46/1.84 com, com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond,
% 1.46/1.84 X ), Y ), Z ) ), T ), U ) ), alpha29( X, Y, T, U ), hBOOL( hAPP( state,
% 1.46/1.84 bool, hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun( state
% 1.46/1.84 , bool ) ), evalc, Z ), T ), U ) ) }.
% 1.46/1.84 { ! alpha29( X, Y, Z, T ), hBOOL( hAPP( state, bool, X, Z ) ) }.
% 1.46/1.84 { ! alpha29( X, Y, Z, T ), hBOOL( hAPP( state, bool, hAPP( state, fun(
% 1.46/1.84 state, bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc, Y ), Z
% 1.46/1.84 ), T ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, X, Z ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.46/1.84 state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ),
% 1.46/1.84 evalc, Y ), Z ), T ) ), alpha29( X, Y, Z, T ) }.
% 1.46/1.84 { ! hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.46/1.84 state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ),
% 1.46/1.84 evalc, Z ), Y ), T ) ), hBOOL( hAPP( state, bool, hAPP( state, fun( state
% 1.46/1.84 , bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP( com,
% 1.46/1.84 com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ), fun( com, fun
% 1.46/1.84 ( com, com ) ), cond, X ), Z ), U ) ), Y ), T ) ) }.
% 1.46/1.84 { hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.46/1.84 state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ),
% 1.46/1.84 evalc, Z ), Y ), T ) ), hBOOL( hAPP( state, bool, hAPP( state, fun( state
% 1.46/1.84 , bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP( com,
% 1.46/1.84 com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ), fun( com, fun
% 1.46/1.84 ( com, com ) ), cond, X ), U ), Z ) ), Y ), T ) ) }.
% 1.46/1.84 { ! ab_semigroup_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.46/1.84 finite_finite_1( Y ), Z ) ), hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y,
% 1.46/1.84 fun( fun( Y, bool ), bool ), member( Y ), T ), Z ) ), hAPP( fun( Y, bool
% 1.46/1.84 ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun
% 1.46/1.84 ( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ),
% 1.46/1.84 fun( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ),
% 1.46/1.84 times_times( X ) ), U ), W ), hAPP( fun( Y, bool ), fun( Y, bool ), hAPP
% 1.46/1.84 ( Y, fun( fun( Y, bool ), fun( Y, bool ) ), insert( Y ), T ), Z ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( Y, X, U, T ) )
% 1.46/1.84 , hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun(
% 1.46/1.84 Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ),
% 1.46/1.84 fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image
% 1.46/1.84 ( X, Y ), times_times( X ) ), U ), W ), Z ) ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), Z ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), plus_plus( X ), Y ), one_one( X ) ) ), Z ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , Y ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), plus_plus( X ), Z ), one_one( X ) ) ), Y ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , Y ), Y ) = hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X
% 1.46/1.84 , X, hAPP( X, fun( X, X ), plus_plus( X ), one_one( X ) ), one_one( X ) )
% 1.46/1.84 ), Y ) }.
% 1.46/1.84 { ! semiri456707255roduct( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.46/1.84 Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), U ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), times_times( X ), Y ), U ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.46/1.84 ), times_times( X ), T ), Z ) ), ti( X, Y ) = ti( X, T ), ti( X, Z ) =
% 1.46/1.84 ti( X, U ) }.
% 1.46/1.84 { ! semiri456707255roduct( X ), ! ti( X, Y ) = ti( X, T ), hAPP( X, X, hAPP
% 1.46/1.84 ( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 times_times( X ), T ), U ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.46/1.84 U ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Z ) ) }.
% 1.46/1.84 { ! semiri456707255roduct( X ), ! ti( X, Z ) = ti( X, U ), hAPP( X, X, hAPP
% 1.46/1.84 ( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 times_times( X ), T ), U ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.46/1.84 U ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Z ) ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.46/1.84 , hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), hAPP( X
% 1.46/1.84 , X, hAPP( X, fun( X, X ), times_times( X ), T ), Z ) ) = hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.46/1.84 , plus_plus( X ), Y ), T ) ), Z ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.46/1.84 ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), times_times( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.46/1.84 ), times_times( X ), Z ), T ) ) }.
% 1.46/1.84 { ! semiri456707255roduct( X ), ti( X, T ) = ti( X, U ), ti( X, Y ) = ti( X
% 1.46/1.84 , Z ), ! hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), times_times( X ), T ), Y ) ), hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), times_times( X ), U ), Z ) ) = hAPP( X, X, hAPP( X, fun( X,
% 1.46/1.84 X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ),
% 1.46/1.84 T ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ), Y )
% 1.46/1.84 ) }.
% 1.46/1.84 { ! semiri456707255roduct( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus
% 1.46/1.84 ( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Y ) ),
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ), Z ) ) = hAPP( X
% 1.46/1.84 , X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.46/1.84 ), times_times( X ), T ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 times_times( X ), U ), Y ) ), ! ti( X, T ) = ti( X, U ) }.
% 1.46/1.84 { ! semiri456707255roduct( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus
% 1.46/1.84 ( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Y ) ),
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ), Z ) ) = hAPP( X
% 1.46/1.84 , X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.46/1.84 ), times_times( X ), T ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 times_times( X ), U ), Y ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.46/1.84 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T ) ) =
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.46/1.84 fun( X, X ), times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.46/1.84 ), times_times( X ), Y ), T ) ) }.
% 1.46/1.84 { ! semiri456707255roduct( X ), ti( X, Y ) = zero_zero( X ), ! ti( X, U ) =
% 1.46/1.84 ti( X, W ), ti( X, Z ) = ti( X, T ), ! hAPP( X, X, hAPP( X, fun( X, X )
% 1.46/1.84 , plus_plus( X ), U ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X )
% 1.46/1.84 , Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), W ),
% 1.46/1.84 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), T ) ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.46/1.84 ), Y ), one_one( X ) ) = ti( X, Y ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.46/1.84 ), one_one( X ) ), Y ) = ti( X, Y ) }.
% 1.46/1.84 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.46/1.84 ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), hAPP
% 1.46/1.84 ( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), U ) ) = hAPP( X, X,
% 1.46/1.84 hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.46/1.84 , times_times( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.46/1.84 times_times( X ), Z ), U ) ) }.
% 1.46/1.84 { bounded_lattice( bool ) }.
% 1.46/1.84 { ! bounded_lattice( X ), bounded_lattice( fun( Y, X ) ) }.
% 1.46/1.84 { ! bounded_lattice( X ), bounded_lattice_bot( fun( Y, X ) ) }.
% 1.46/1.84 { ! lattice( X ), semilattice_sup( fun( Y, X ) ) }.
% 1.46/1.84 { ! lattice( X ), semilattice_inf( fun( Y, X ) ) }.
% 1.46/1.84 { ! distrib_lattice( X ), distrib_lattice( fun( Y, X ) ) }.
% 1.46/1.84 { ! finite_finite( Y ), ! finite_finite( X ), finite_finite( fun( X, Y ) )
% 1.46/1.84 }.
% 1.46/1.84 { ! lattice( X ), lattice( fun( Y, X ) ) }.
% 1.46/1.84 { ! bot( X ), bot( fun( Y, X ) ) }.
% 1.46/1.84 { ! minus( X ), minus( fun( Y, X ) ) }.
% 1.46/1.84 { semiri456707255roduct( nat ) }.
% 1.46/1.84 { cancel146912293up_add( nat ) }.
% 1.46/1.84 { cancel_semigroup_add( nat ) }.
% 1.46/1.84 { semilattice_sup( nat ) }.
% 1.46/1.84 { semilattice_inf( nat ) }.
% 1.46/1.84 { distrib_lattice( nat ) }.
% 1.46/1.84 { ab_semigroup_mult( nat ) }.
% 1.46/1.84 { comm_monoid_mult( nat ) }.
% 1.46/1.84 { ab_semigroup_add( nat ) }.
% 1.46/1.84 { comm_monoid_add( nat ) }.
% 1.46/1.84 { comm_semiring_1( nat ) }.
% 1.46/1.84 { zero_neq_one( nat ) }.
% 1.46/1.84 { monoid_add( nat ) }.
% 1.46/1.84 { lattice( nat ) }.
% 1.46/1.84 { bot( nat ) }.
% 1.46/1.84 { minus( nat ) }.
% 1.46/1.84 { zero( nat ) }.
% 1.46/1.84 { one( nat ) }.
% 1.46/1.84 { bounded_lattice_bot( bool ) }.
% 1.46/1.84 { semilattice_sup( bool ) }.
% 1.46/1.84 { semilattice_inf( bool ) }.
% 1.46/1.84 { distrib_lattice( bool ) }.
% 1.46/1.84 { finite_finite( bool ) }.
% 1.46/1.84 { lattice( bool ) }.
% 1.46/1.84 { bot( bool ) }.
% 1.46/1.84 { minus( bool ) }.
% 1.46/1.84 { ! finite_finite( Y ), ! finite_finite( X ), finite_finite( sum_sum( X, Y
% 1.46/1.84 ) ) }.
% 1.46/1.84 { ti( X, ti( X, Y ) ) = ti( X, Y ) }.
% 1.46/1.84 { hAPP( X, X, hAPP( X, fun( X, X ), hAPP( bool, fun( X, fun( X, X ) ), if(
% 1.46/1.84 X ), fTrue ), Y ), Z ) = ti( X, Y ) }.
% 1.46/1.84 { hAPP( X, X, hAPP( X, fun( X, X ), hAPP( bool, fun( X, fun( X, X ) ), if(
% 1.46/1.84 X ), fFalse ), Y ), Z ) = ti( X, Z ) }.
% 1.46/1.84 { ti( bool, X ) = fTrue, ti( bool, X ) = fFalse }.
% 1.46/1.84 { ! hBOOL( hAPP( bool, bool, fNot, X ) ), ! hBOOL( X ) }.
% 1.46/1.84 { hBOOL( X ), hBOOL( hAPP( bool, bool, fNot, X ) ) }.
% 1.46/1.84 { hAPP( X, Y, hAPP( fun( X, Z ), fun( X, Y ), hAPP( fun( Z, Y ), fun( fun(
% 1.46/1.84 X, Z ), fun( X, Y ) ), combb( Z, Y, X ), T ), U ), W ) = hAPP( Z, Y, T,
% 1.46/1.84 hAPP( X, Z, U, W ) ) }.
% 1.46/1.84 { hAPP( X, Y, hAPP( Z, fun( X, Y ), hAPP( fun( X, fun( Z, Y ) ), fun( Z,
% 1.46/1.84 fun( X, Y ) ), combc( X, Z, Y ), T ), U ), W ) = hAPP( Z, Y, hAPP( X, fun
% 1.46/1.84 ( Z, Y ), T, W ), U ) }.
% 1.46/1.84 { hAPP( X, X, combi( X ), Y ) = ti( X, Y ) }.
% 1.46/1.84 { hAPP( X, Y, hAPP( Y, fun( X, Y ), combk( Y, X ), Z ), T ) = ti( Y, Z ) }
% 1.46/1.84 .
% 1.46/1.84 { hAPP( X, Y, hAPP( fun( X, Z ), fun( X, Y ), hAPP( fun( X, fun( Z, Y ) ),
% 1.46/1.84 fun( fun( X, Z ), fun( X, Y ) ), combs( X, Z, Y ), T ), U ), W ) = hAPP(
% 1.46/1.84 Z, Y, hAPP( X, fun( Z, Y ), T, W ), hAPP( X, Z, U, W ) ) }.
% 1.46/1.84 { ! hBOOL( X ), ! hBOOL( Y ), hBOOL( hAPP( bool, bool, hAPP( bool, fun(
% 1.46/1.84 bool, bool ), fconj, X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ), fconj, X ), Y )
% 1.46/1.84 ), hBOOL( X ) }.
% 1.46/1.84 { ! hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ), fconj, Y ), X )
% 1.46/1.84 ), hBOOL( X ) }.
% 1.46/1.84 { ! hBOOL( X ), hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ),
% 1.46/1.84 fdisj, X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( X ), hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ),
% 1.46/1.84 fdisj, Y ), X ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ), fdisj, X ), Y )
% 1.46/1.84 ), hBOOL( X ), hBOOL( Y ) }.
% 1.46/1.84 { ! hBOOL( fFalse ) }.
% 1.46/1.84 { ti( bool, X ) = fTrue, ti( bool, X ) = fFalse }.
% 1.46/1.84 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), fequal( X ), Y ), Z ) )
% 1.46/1.84 , ti( X, Y ) = ti( X, Z ) }.
% 1.46/1.84 { ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.46/1.84 , fequal( X ), Y ), Z ) ) }.
% 1.46/1.84 { hBOOL( X ), hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ),
% 1.46/1.84 fimplies, X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( X ), hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ),
% 1.46/1.84 fimplies, Y ), X ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ), fimplies, X ),
% 1.46/1.84 Y ) ), ! hBOOL( X ), hBOOL( Y ) }.
% 1.46/1.84 { hBOOL( hAPP( fun( hoare_1656922687triple( x_a ), bool ), bool, hAPP(
% 1.46/1.84 hoare_1656922687triple( x_a ), fun( fun( hoare_1656922687triple( x_a ),
% 1.46/1.84 bool ), bool ), member( hoare_1656922687triple( x_a ) ), skol74( Y ) ),
% 1.46/1.84 hAPP( fun( hoare_1656922687triple( x_a ), bool ), fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ), hAPP( fun( hoare_1656922687triple
% 1.46/1.84 ( x_a ), bool ), fun( fun( hoare_1656922687triple( x_a ), bool ), fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ) ), semilattice_sup_sup( fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ) ), g ), hAPP( fun( pname, bool ),
% 1.46/1.84 fun( hoare_1656922687triple( x_a ), bool ), hAPP( fun( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ), fun( fun( pname, bool ), fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ) ), image( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ), hAPP( fun( pname, fun( x_a, fun( state,
% 1.46/1.84 bool ) ) ), fun( pname, hoare_1656922687triple( x_a ) ), hAPP( fun( pname
% 1.46/1.84 , fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a ) ) )
% 1.46/1.84 , fun( fun( pname, fun( x_a, fun( state, bool ) ) ), fun( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), combs( pname, fun( x_a, fun( state,
% 1.46/1.84 bool ) ), hoare_1656922687triple( x_a ) ), hAPP( fun( pname, com ), fun(
% 1.46/1.84 pname, fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a )
% 1.46/1.84 ) ), hAPP( fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.84 fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a ) ) ) )
% 1.46/1.84 , combs( pname, com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), hAPP( fun( pname, fun( x_a, fun( state
% 1.46/1.84 , bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), hAPP( fun( fun( x_a, fun( state,
% 1.46/1.84 bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), fun( fun( pname, fun( x_a, fun(
% 1.46/1.84 state, bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool
% 1.46/1.84 ) ), hoare_1656922687triple( x_a ) ) ) ) ), combb( fun( x_a, fun( state
% 1.46/1.84 , bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), pname ), hoare_246368825triple( x_a )
% 1.46/1.84 ), p ) ), body ) ), q ) ), procs ) ) ) ), ! hBOOL( hAPP( fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ), bool, hAPP( hoare_1656922687triple
% 1.46/1.84 ( x_a ), fun( fun( hoare_1656922687triple( x_a ), bool ), bool ), member
% 1.46/1.84 ( hoare_1656922687triple( x_a ) ), Z ), hAPP( fun( pname, bool ), fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ), hAPP( fun( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ), fun( fun( pname, bool ), fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ) ), image( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ), hAPP( fun( pname, fun( x_a, fun( state,
% 1.46/1.84 bool ) ) ), fun( pname, hoare_1656922687triple( x_a ) ), hAPP( fun( pname
% 1.46/1.84 , fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a ) ) )
% 1.46/1.84 , fun( fun( pname, fun( x_a, fun( state, bool ) ) ), fun( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), combs( pname, fun( x_a, fun( state,
% 1.46/1.84 bool ) ), hoare_1656922687triple( x_a ) ), hAPP( fun( pname, com ), fun(
% 1.46/1.84 pname, fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a )
% 1.46/1.84 ) ), hAPP( fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.84 fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a ) ) ) )
% 1.46/1.84 , combs( pname, com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), hAPP( fun( pname, fun( x_a, fun( state
% 1.46/1.84 , bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), hAPP( fun( fun( x_a, fun( state,
% 1.46/1.84 bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), fun( fun( pname, fun( x_a, fun(
% 1.46/1.84 state, bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool
% 1.46/1.84 ) ), hoare_1656922687triple( x_a ) ) ) ) ), combb( fun( x_a, fun( state
% 1.46/1.84 , bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), pname ), hoare_246368825triple( x_a )
% 1.46/1.84 ), p ) ), hAPP( fun( pname, option( com ) ), fun( pname, com ), hAPP(
% 1.46/1.84 fun( option( com ), com ), fun( fun( pname, option( com ) ), fun( pname,
% 1.46/1.84 com ) ), combb( option( com ), com, pname ), the( com ) ), body_1 ) ) ),
% 1.46/1.84 q ) ), procs ) ) ), hBOOL( hAPP( hoare_1656922687triple( x_a ), bool,
% 1.46/1.84 hAPP( nat, fun( hoare_1656922687triple( x_a ), bool ),
% 1.46/1.84 hoare_920331057_valid( x_a ), X ), Z ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( hoare_1656922687triple( x_a ), bool, hAPP( nat, fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ), hoare_920331057_valid( x_a ), X )
% 1.46/1.84 , skol74( X ) ) ), ! hBOOL( hAPP( fun( hoare_1656922687triple( x_a ),
% 1.46/1.84 bool ), bool, hAPP( hoare_1656922687triple( x_a ), fun( fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ), bool ), member(
% 1.46/1.84 hoare_1656922687triple( x_a ) ), Y ), hAPP( fun( pname, bool ), fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ), hAPP( fun( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ), fun( fun( pname, bool ), fun(
% 1.46/1.84 hoare_1656922687triple( x_a ), bool ) ), image( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ), hAPP( fun( pname, fun( x_a, fun( state,
% 1.46/1.84 bool ) ) ), fun( pname, hoare_1656922687triple( x_a ) ), hAPP( fun( pname
% 1.46/1.84 , fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a ) ) )
% 1.46/1.84 , fun( fun( pname, fun( x_a, fun( state, bool ) ) ), fun( pname,
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), combs( pname, fun( x_a, fun( state,
% 1.46/1.84 bool ) ), hoare_1656922687triple( x_a ) ), hAPP( fun( pname, com ), fun(
% 1.46/1.84 pname, fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a )
% 1.46/1.84 ) ), hAPP( fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.84 fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a ) ) ) )
% 1.46/1.84 , combs( pname, com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), hAPP( fun( pname, fun( x_a, fun( state
% 1.46/1.84 , bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), hAPP( fun( fun( x_a, fun( state,
% 1.46/1.84 bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ) ), fun( fun( pname, fun( x_a, fun(
% 1.46/1.84 state, bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool
% 1.46/1.84 ) ), hoare_1656922687triple( x_a ) ) ) ) ), combb( fun( x_a, fun( state
% 1.46/1.84 , bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.84 hoare_1656922687triple( x_a ) ) ), pname ), hoare_246368825triple( x_a )
% 1.46/1.84 ), p ) ), hAPP( fun( pname, option( com ) ), fun( pname, com ), hAPP(
% 1.46/1.84 fun( option( com ), com ), fun( fun( pname, option( com ) ), fun( pname,
% 1.46/1.84 com ) ), combb( option( com ), com, pname ), the( com ) ), body_1 ) ) ),
% 1.46/1.84 q ) ), procs ) ) ), hBOOL( hAPP( hoare_1656922687triple( x_a ), bool,
% 1.46/1.84 hAPP( nat, fun( hoare_1656922687triple( x_a ), bool ),
% 1.46/1.84 hoare_920331057_valid( x_a ), X ), Y ) ) }.
% 1.46/1.84 { ! hBOOL( hAPP( fun( hoare_1656922687triple( x_a ), bool ), bool, hAPP(
% 1.46/1.84 hoare_1656922687triple( x_a ), fun( fun( hoare_1656922687triple( x_a ),
% 1.46/1.84 bool ), bool ), member( hoare_1656922687triple( x_a ) ), X ), g ) ),
% 1.46/1.85 hBOOL( hAPP( hoare_1656922687triple( x_a ), bool, hAPP( nat, fun(
% 1.46/1.85 hoare_1656922687triple( x_a ), bool ), hoare_920331057_valid( x_a ), n )
% 1.46/1.85 , X ) ) }.
% 1.46/1.85 { hBOOL( hAPP( fun( hoare_1656922687triple( x_a ), bool ), bool, hAPP(
% 1.46/1.85 hoare_1656922687triple( x_a ), fun( fun( hoare_1656922687triple( x_a ),
% 1.46/1.85 bool ), bool ), member( hoare_1656922687triple( x_a ) ), skol75 ), hAPP(
% 1.46/1.85 fun( pname, bool ), fun( hoare_1656922687triple( x_a ), bool ), hAPP( fun
% 1.46/1.85 ( pname, hoare_1656922687triple( x_a ) ), fun( fun( pname, bool ), fun(
% 1.46/1.85 hoare_1656922687triple( x_a ), bool ) ), image( pname,
% 1.46/1.85 hoare_1656922687triple( x_a ) ), hAPP( fun( pname, fun( x_a, fun( state,
% 1.46/1.85 bool ) ) ), fun( pname, hoare_1656922687triple( x_a ) ), hAPP( fun( pname
% 1.46/1.85 , fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a ) ) )
% 1.46/1.85 , fun( fun( pname, fun( x_a, fun( state, bool ) ) ), fun( pname,
% 1.46/1.85 hoare_1656922687triple( x_a ) ) ), combs( pname, fun( x_a, fun( state,
% 1.46/1.85 bool ) ), hoare_1656922687triple( x_a ) ), hAPP( fun( pname, com ), fun(
% 1.46/1.85 pname, fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a )
% 1.46/1.85 ) ), hAPP( fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.85 hoare_1656922687triple( x_a ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.46/1.85 fun( fun( x_a, fun( state, bool ) ), hoare_1656922687triple( x_a ) ) ) )
% 1.46/1.85 , combs( pname, com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.85 hoare_1656922687triple( x_a ) ) ), hAPP( fun( pname, fun( x_a, fun( state
% 1.46/1.85 , bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.85 hoare_1656922687triple( x_a ) ) ) ), hAPP( fun( fun( x_a, fun( state,
% 1.46/1.85 bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.85 hoare_1656922687triple( x_a ) ) ) ), fun( fun( pname, fun( x_a, fun(
% 1.46/1.85 state, bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool
% 1.46/1.85 ) ), hoare_1656922687triple( x_a ) ) ) ) ), combb( fun( x_a, fun( state
% 1.46/1.85 , bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.46/1.85 hoare_1656922687triple( x_a ) ) ), pname ), hoare_246368825triple( x_a )
% 1.46/1.85 ), p ) ), body ) ), q ) ), procs ) ) ) }.
% 1.46/1.85 { ! hBOOL( hAPP( hoare_1656922687triple( x_a ), bool, hAPP( nat, fun(
% 1.46/1.85 hoare_1656922687triple( x_a ), bool ), hoare_920331057_valid( x_a ), n )
% 1.46/1.85 , skol75 ) ) }.
% 1.46/1.85
% 1.46/1.85 *** allocated 15000 integers for clauses
% 1.46/1.85 *** allocated 22500 integers for clauses
% 1.46/1.85 *** allocated 33750 integers for clauses
% 1.46/1.85 *** allocated 50625 integers for clauses
% 1.46/1.85 *** allocated 75937 integers for clauses
% 1.46/1.85 *** allocated 113905 integers for clauses
% 1.46/1.85 percentage equality = 0.404255, percentage horn = 0.836609
% 1.46/1.85 This is a problem with some equality
% 1.46/1.85
% 1.46/1.85
% 1.46/1.85
% 1.46/1.85 Options Used:
% 1.46/1.85
% 1.46/1.85 useres = 1
% 1.46/1.85 useparamod = 1
% 1.46/1.85 useeqrefl = 1
% 1.46/1.85 useeqfact = 1
% 1.46/1.85 usefactor = 1
% 1.46/1.85 usesimpsplitting = 0
% 1.46/1.85 usesimpdemod = 5
% 1.46/1.85 usesimpres = 3
% 1.46/1.85
% 1.46/1.85 resimpinuse = 1000
% 1.46/1.85 resimpclauses = 20000
% 1.46/1.85 substype = eqrewr
% 1.46/1.85 backwardsubs = 1
% 1.46/1.85 selectoldest = 5
% 1.46/1.85
% 1.46/1.85 litorderings [0] = split
% 1.46/1.85 litorderings [1] = extend the termordering, first sorting on arguments
% 1.46/1.85
% 1.46/1.85 termordering = kbo
% 1.46/1.85
% 1.46/1.85 litapriori = 0
% 1.46/1.85 termapriori = 1
% 1.46/1.85 litaposteriori = 0
% 1.46/1.85 termaposteriori = 0
% 1.46/1.85 demodaposteriori = 0
% 1.46/1.85 ordereqreflfact = 0
% 1.46/1.85
% 1.46/1.85 litselect = negord
% 1.46/1.85
% 1.46/1.85 maxweight = 15
% 1.46/1.85 maxdepth = 30000
% 1.46/1.85 maxlength = 115
% 1.46/1.85 maxnrvars = 195
% 1.46/1.85 excuselevel = 1
% 1.46/1.85 increasemaxweight = 1
% 1.46/1.85
% 1.46/1.85 maxselected = 10000000
% 1.46/1.85 maxnrclauses = 10000000
% 1.46/1.85
% 1.46/1.85 showgenerated = 0
% 1.46/1.85 showkept = 0
% 1.46/1.85 showselected = 0
% 1.46/1.85 showdeleted = 0
% 1.46/1.85 showresimp = 1
% 1.46/1.85 showstatus = 2000
% 1.46/1.85
% 1.46/1.85 prologoutput = 0
% 1.46/1.85 nrgoals = 5000000
% 1.46/1.85 totalproof = 1
% 1.46/1.85
% 1.46/1.85 Symbols occurring in the translation:
% 1.46/1.85
% 1.46/1.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.46/1.85 . [1, 2] (w:1, o:251, a:1, s:1, b:0),
% 1.46/1.85 ! [4, 1] (w:0, o:171, a:1, s:1, b:0),
% 1.46/1.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.46/1.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.46/1.85 fun [37, 2] (w:1, o:275, a:1, s:1, b:0),
% 1.46/1.85 bool [38, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.46/1.85 big_comm_monoid_big [39, 2] (w:1, o:282, a:1, s:1, b:0),
% 1.46/1.85 ti [40, 2] (w:1, o:308, a:1, s:1, b:0),
% 1.46/1.85 lattice [41, 1] (w:1, o:176, a:1, s:1, b:0),
% 1.46/1.85 big_lattice_Inf_fin [42, 1] (w:1, o:180, a:1, s:1, b:0),
% 1.46/1.85 big_lattice_Sup_fin [43, 1] (w:1, o:181, a:1, s:1, b:0),
% 1.46/1.85 combb [45, 3] (w:1, o:317, a:1, s:1, b:0),
% 1.46/1.85 combc [46, 3] (w:1, o:318, a:1, s:1, b:0),
% 1.46/1.85 combi [47, 1] (w:1, o:187, a:1, s:1, b:0),
% 1.46/1.85 combk [48, 2] (w:1, o:309, a:1, s:1, b:0),
% 1.46/1.85 combs [49, 3] (w:1, o:319, a:1, s:1, b:0),
% 1.46/1.85 pname [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.46/1.85 com [51, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.46/1.85 option [52, 1] (w:1, o:191, a:1, s:1, b:0),
% 1.46/1.85 body_1 [53, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.46/1.85 body [54, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.46/1.85 state [55, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.46/1.85 cond [56, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.46/1.85 skip [57, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.46/1.85 semi [58, 0] (w:1, o:19, a:1, s:1, b:0),
% 1.46/1.85 while [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.46/1.85 nat [60, 0] (w:1, o:21, a:1, s:1, b:0),
% 1.46/1.85 com_size [61, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.46/1.85 finite_card [62, 1] (w:1, o:192, a:1, s:1, b:0),
% 1.46/1.85 finite_comp_fun_idem [63, 2] (w:1, o:310, a:1, s:1, b:0),
% 1.46/1.85 finite_finite_1 [64, 1] (w:1, o:193, a:1, s:1, b:0),
% 1.46/1.85 finite_fold_image [65, 2] (w:1, o:311, a:1, s:1, b:0),
% 1.46/1.85 finite1357897459simple [66, 2] (w:1, o:312, a:1, s:1, b:0),
% 1.46/1.85 finite908156982e_idem [67, 2] (w:1, o:313, a:1, s:1, b:0),
% 1.46/1.85 finite_folding_one [68, 1] (w:1, o:194, a:1, s:1, b:0),
% 1.46/1.85 finite2073411215e_idem [69, 1] (w:1, o:195, a:1, s:1, b:0),
% 1.46/1.85 minus [70, 1] (w:1, o:196, a:1, s:1, b:0),
% 1.46/1.85 minus_minus [71, 1] (w:1, o:197, a:1, s:1, b:0),
% 1.46/1.85 one [72, 1] (w:1, o:198, a:1, s:1, b:0),
% 1.46/1.85 one_one [73, 1] (w:1, o:199, a:1, s:1, b:0),
% 1.46/1.85 cancel_semigroup_add [74, 1] (w:1, o:200, a:1, s:1, b:0),
% 1.46/1.85 plus_plus [75, 1] (w:1, o:201, a:1, s:1, b:0),
% 1.46/1.85 ab_semigroup_add [76, 1] (w:1, o:177, a:1, s:1, b:0),
% 1.46/1.85 monoid_add [77, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.46/1.85 ab_semigroup_mult [78, 1] (w:1, o:178, a:1, s:1, b:0),
% 1.46/1.85 times_times [79, 1] (w:1, o:228, a:1, s:1, b:0),
% 1.46/1.85 zero [80, 1] (w:1, o:229, a:1, s:1, b:0),
% 1.46/1.85 zero_zero [81, 1] (w:1, o:230, a:1, s:1, b:0),
% 1.46/1.85 the_1 [82, 1] (w:1, o:225, a:1, s:1, b:0),
% 1.46/1.85 undefined [83, 1] (w:1, o:231, a:1, s:1, b:0),
% 1.46/1.85 hoare_1656922687triple [84, 1] (w:1, o:233, a:1, s:1, b:0),
% 1.46/1.85 hoare_Mirabelle_MGT [85, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.46/1.85 hoare_279057269derivs [86, 1] (w:1, o:234, a:1, s:1, b:0),
% 1.46/1.85 hoare_2027193591valids [87, 1] (w:1, o:235, a:1, s:1, b:0),
% 1.46/1.85 hoare_246368825triple [88, 1] (w:1, o:236, a:1, s:1, b:0),
% 1.46/1.85 hoare_1312322281e_case [89, 2] (w:1, o:314, a:1, s:1, b:0),
% 1.46/1.85 hoare_1632998903le_rec [90, 2] (w:1, o:315, a:1, s:1, b:0),
% 1.46/1.85 hoare_983366810e_size [91, 1] (w:1, o:237, a:1, s:1, b:0),
% 1.46/1.85 hoare_920331057_valid [92, 1] (w:1, o:238, a:1, s:1, b:0),
% 1.46/1.85 if [93, 1] (w:1, o:240, a:1, s:1, b:0),
% 1.46/1.85 semilattice_inf [94, 1] (w:1, o:203, a:1, s:1, b:0),
% 1.46/1.85 semilattice_inf_inf [95, 1] (w:1, o:204, a:1, s:1, b:0),
% 1.46/1.85 semilattice_sup [96, 1] (w:1, o:205, a:1, s:1, b:0),
% 1.46/1.85 semilattice_sup_sup [97, 1] (w:1, o:206, a:1, s:1, b:0),
% 1.46/1.85 suc [98, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.46/1.85 nat_case [99, 1] (w:1, o:190, a:1, s:1, b:0),
% 1.46/1.85 size_size [100, 1] (w:1, o:207, a:1, s:1, b:0),
% 1.46/1.85 evalc [101, 0] (w:1, o:25, a:1, s:1, b:0),
% 1.46/1.85 evaln [102, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.46/1.85 the [103, 1] (w:1, o:226, a:1, s:1, b:0),
% 1.46/1.85 bot [104, 1] (w:1, o:182, a:1, s:1, b:0),
% 1.46/1.85 bot_bot [105, 1] (w:1, o:183, a:1, s:1, b:0),
% 1.46/1.85 powp [106, 1] (w:1, o:241, a:1, s:1, b:0),
% 1.46/1.85 collect [107, 1] (w:1, o:186, a:1, s:1, b:0),
% 1.46/1.85 image [108, 2] (w:1, o:316, a:1, s:1, b:0),
% 1.46/1.85 insert [109, 1] (w:1, o:242, a:1, s:1, b:0),
% 1.46/1.85 the_elem [110, 1] (w:1, o:227, a:1, s:1, b:0),
% 1.46/1.85 sum_sum [111, 2] (w:1, o:283, a:1, s:1, b:0),
% 1.46/1.85 sum_Plus [112, 2] (w:1, o:284, a:1, s:1, b:0),
% 1.46/1.85 fFalse [113, 0] (w:1, o:27, a:1, s:1, b:0),
% 1.46/1.85 fNot [114, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.46/1.85 fTrue [115, 0] (w:1, o:29, a:1, s:1, b:0),
% 1.46/1.85 fconj [116, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.46/1.85 fdisj [117, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.46/1.85 fequal [118, 1] (w:1, o:243, a:1, s:1, b:0),
% 1.46/1.85 fimplies [119, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.46/1.85 hAPP [122, 4] (w:1, o:367, a:1, s:1, b:0),
% 1.46/1.85 hBOOL [123, 1] (w:1, o:239, a:1, s:1, b:0),
% 1.46/1.85 member [124, 1] (w:1, o:189, a:1, s:1, b:0),
% 1.46/1.85 x_a [125, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.46/1.85 g [126, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.46/1.85 p [127, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.46/1.85 procs [128, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.46/1.85 q [129, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.46/1.85 n [130, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.46/1.85 bounded_lattice_bot [186, 1] (w:1, o:184, a:1, s:1, b:0),
% 1.46/1.85 finite_finite [230, 1] (w:1, o:244, a:1, s:1, b:0),
% 1.46/1.85 distrib_lattice [240, 1] (w:1, o:249, a:1, s:1, b:0),
% 1.46/1.85 group_add [242, 1] (w:1, o:232, a:1, s:1, b:0),
% 1.46/1.85 ab_group_add [243, 1] (w:1, o:179, a:1, s:1, b:0),
% 1.46/1.85 zero_neq_one [251, 1] (w:1, o:250, a:1, s:1, b:0),
% 1.46/1.85 comm_monoid_add [252, 1] (w:1, o:245, a:1, s:1, b:0),
% 1.46/1.85 linord219039673up_add [253, 1] (w:1, o:188, a:1, s:1, b:0),
% 1.46/1.85 cancel146912293up_add [254, 1] (w:1, o:246, a:1, s:1, b:0),
% 1.46/1.85 comm_semiring_1 [256, 1] (w:1, o:247, a:1, s:1, b:0),
% 1.46/1.85 semiri456707255roduct [258, 1] (w:1, o:208, a:1, s:1, b:0),
% 1.46/1.85 comm_monoid_mult [259, 1] (w:1, o:248, a:1, s:1, b:0),
% 1.46/1.85 bounded_lattice [268, 1] (w:1, o:185, a:1, s:1, b:0),
% 1.46/1.85 alpha1 [275, 4] (w:1, o:368, a:1, s:1, b:1),
% 1.46/1.85 alpha2 [276, 3] (w:1, o:324, a:1, s:1, b:1),
% 1.46/1.85 alpha3 [277, 3] (w:1, o:329, a:1, s:1, b:1),
% 1.46/1.85 alpha4 [278, 3] (w:1, o:331, a:1, s:1, b:1),
% 1.46/1.85 alpha5 [279, 5] (w:1, o:381, a:1, s:1, b:1),
% 1.46/1.85 alpha6 [280, 6] (w:1, o:398, a:1, s:1, b:1),
% 1.46/1.85 alpha7 [281, 2] (w:1, o:276, a:1, s:1, b:1),
% 1.46/1.85 alpha8 [282, 3] (w:1, o:332, a:1, s:1, b:1),
% 1.46/1.85 alpha9 [283, 3] (w:1, o:333, a:1, s:1, b:1),
% 1.46/1.85 alpha10 [284, 2] (w:1, o:277, a:1, s:1, b:1),
% 1.46/1.85 alpha11 [285, 2] (w:1, o:278, a:1, s:1, b:1),
% 1.46/1.85 alpha12 [286, 3] (w:1, o:320, a:1, s:1, b:1),
% 2.56/2.97 alpha13 [287, 3] (w:1, o:321, a:1, s:1, b:1),
% 2.56/2.97 alpha14 [288, 3] (w:1, o:322, a:1, s:1, b:1),
% 2.56/2.97 alpha15 [289, 5] (w:1, o:382, a:1, s:1, b:1),
% 2.56/2.97 alpha16 [290, 4] (w:1, o:369, a:1, s:1, b:1),
% 2.56/2.97 alpha17 [291, 3] (w:1, o:323, a:1, s:1, b:1),
% 2.56/2.97 alpha18 [292, 2] (w:1, o:279, a:1, s:1, b:1),
% 2.56/2.97 alpha19 [293, 2] (w:1, o:280, a:1, s:1, b:1),
% 2.56/2.97 alpha20 [294, 4] (w:1, o:370, a:1, s:1, b:1),
% 2.56/2.97 alpha21 [295, 4] (w:1, o:371, a:1, s:1, b:1),
% 2.56/2.97 alpha22 [296, 3] (w:1, o:325, a:1, s:1, b:1),
% 2.56/2.97 alpha23 [297, 3] (w:1, o:326, a:1, s:1, b:1),
% 2.56/2.97 alpha24 [298, 3] (w:1, o:327, a:1, s:1, b:1),
% 2.56/2.97 alpha25 [299, 2] (w:1, o:281, a:1, s:1, b:1),
% 2.56/2.97 alpha26 [300, 3] (w:1, o:328, a:1, s:1, b:1),
% 2.56/2.97 alpha27 [301, 4] (w:1, o:372, a:1, s:1, b:1),
% 2.56/2.97 alpha28 [302, 5] (w:1, o:383, a:1, s:1, b:1),
% 2.56/2.97 alpha29 [303, 4] (w:1, o:373, a:1, s:1, b:1),
% 2.56/2.97 alpha30 [304, 3] (w:1, o:330, a:1, s:1, b:1),
% 2.56/2.97 skol1 [305, 3] (w:1, o:334, a:1, s:1, b:1),
% 2.56/2.97 skol2 [306, 3] (w:1, o:337, a:1, s:1, b:1),
% 2.56/2.97 skol3 [307, 3] (w:1, o:342, a:1, s:1, b:1),
% 2.56/2.97 skol4 [308, 5] (w:1, o:386, a:1, s:1, b:1),
% 2.56/2.97 skol5 [309, 4] (w:1, o:376, a:1, s:1, b:1),
% 2.56/2.97 skol6 [310, 3] (w:1, o:349, a:1, s:1, b:1),
% 2.56/2.97 skol7 [311, 3] (w:1, o:352, a:1, s:1, b:1),
% 2.56/2.97 skol8 [312, 4] (w:1, o:377, a:1, s:1, b:1),
% 2.56/2.97 skol9 [313, 3] (w:1, o:354, a:1, s:1, b:1),
% 2.56/2.97 skol10 [314, 3] (w:1, o:335, a:1, s:1, b:1),
% 2.56/2.97 skol11 [315, 5] (w:1, o:387, a:1, s:1, b:1),
% 2.56/2.97 skol12 [316, 2] (w:1, o:285, a:1, s:1, b:1),
% 2.56/2.97 skol13 [317, 5] (w:1, o:388, a:1, s:1, b:1),
% 2.56/2.97 skol14 [318, 3] (w:1, o:336, a:1, s:1, b:1),
% 2.56/2.97 skol15 [319, 2] (w:1, o:286, a:1, s:1, b:1),
% 2.56/2.97 skol16 [320, 2] (w:1, o:287, a:1, s:1, b:1),
% 2.56/2.97 skol17 [321, 2] (w:1, o:288, a:1, s:1, b:1),
% 2.56/2.97 skol18 [322, 4] (w:1, o:378, a:1, s:1, b:1),
% 2.56/2.97 skol19 [323, 2] (w:1, o:289, a:1, s:1, b:1),
% 2.56/2.97 skol20 [324, 3] (w:1, o:338, a:1, s:1, b:1),
% 2.56/2.97 skol21 [325, 5] (w:1, o:389, a:1, s:1, b:1),
% 2.56/2.97 skol22 [326, 3] (w:1, o:339, a:1, s:1, b:1),
% 2.56/2.97 skol23 [327, 3] (w:1, o:340, a:1, s:1, b:1),
% 2.56/2.97 skol24 [328, 5] (w:1, o:390, a:1, s:1, b:1),
% 2.56/2.97 skol25 [329, 1] (w:1, o:209, a:1, s:1, b:1),
% 2.56/2.97 skol26 [330, 1] (w:1, o:210, a:1, s:1, b:1),
% 2.56/2.97 skol27 [331, 1] (w:1, o:211, a:1, s:1, b:1),
% 2.56/2.97 skol28 [332, 1] (w:1, o:212, a:1, s:1, b:1),
% 2.56/2.97 skol29 [333, 3] (w:1, o:341, a:1, s:1, b:1),
% 2.56/2.97 skol30 [334, 5] (w:1, o:384, a:1, s:1, b:1),
% 2.56/2.97 skol31 [335, 6] (w:1, o:399, a:1, s:1, b:1),
% 2.56/2.97 skol32 [336, 4] (w:1, o:379, a:1, s:1, b:1),
% 2.56/2.97 skol33 [337, 3] (w:1, o:355, a:1, s:1, b:1),
% 2.56/2.97 skol34 [338, 8] (w:1, o:402, a:1, s:1, b:1),
% 2.56/2.97 skol35 [339, 4] (w:1, o:380, a:1, s:1, b:1),
% 2.56/2.97 skol36 [340, 5] (w:1, o:385, a:1, s:1, b:1),
% 2.56/2.97 skol37 [341, 2] (w:1, o:290, a:1, s:1, b:1),
% 2.56/2.97 skol38 [342, 2] (w:1, o:291, a:1, s:1, b:1),
% 2.56/2.97 skol39 [343, 3] (w:1, o:356, a:1, s:1, b:1),
% 2.56/2.97 skol40 [344, 4] (w:1, o:374, a:1, s:1, b:1),
% 2.56/2.97 skol41 [345, 4] (w:1, o:375, a:1, s:1, b:1),
% 2.56/2.97 skol42 [346, 5] (w:1, o:391, a:1, s:1, b:1),
% 2.56/2.97 skol43 [347, 2] (w:1, o:292, a:1, s:1, b:1),
% 2.56/2.97 skol44 [348, 2] (w:1, o:293, a:1, s:1, b:1),
% 2.56/2.97 skol45 [349, 3] (w:1, o:357, a:1, s:1, b:1),
% 2.56/2.97 skol46 [350, 3] (w:1, o:358, a:1, s:1, b:1),
% 2.56/2.97 skol47 [351, 3] (w:1, o:359, a:1, s:1, b:1),
% 2.56/2.97 skol48 [352, 2] (w:1, o:294, a:1, s:1, b:1),
% 2.56/2.97 skol49 [353, 5] (w:1, o:392, a:1, s:1, b:1),
% 2.56/2.97 skol50 [354, 3] (w:1, o:343, a:1, s:1, b:1),
% 2.56/2.97 skol51 [355, 3] (w:1, o:344, a:1, s:1, b:1),
% 2.56/2.97 skol52 [356, 3] (w:1, o:345, a:1, s:1, b:1),
% 2.56/2.97 skol53 [357, 6] (w:1, o:400, a:1, s:1, b:1),
% 2.56/2.97 skol54 [358, 3] (w:1, o:346, a:1, s:1, b:1),
% 2.56/2.97 skol55 [359, 3] (w:1, o:347, a:1, s:1, b:1),
% 2.56/2.97 skol56 [360, 2] (w:1, o:295, a:1, s:1, b:1),
% 2.56/2.97 skol57 [361, 2] (w:1, o:296, a:1, s:1, b:1),
% 2.56/2.97 skol58 [362, 1] (w:1, o:213, a:1, s:1, b:1),
% 2.56/2.97 skol59 [363, 3] (w:1, o:348, a:1, s:1, b:1),
% 2.56/2.97 skol60 [364, 3] (w:1, o:350, a:1, s:1, b:1),
% 15.87/16.31 skol61 [365, 1] (w:1, o:214, a:1, s:1, b:1),
% 15.87/16.31 skol62 [366, 1] (w:1, o:215, a:1, s:1, b:1),
% 15.87/16.31 skol63 [367, 2] (w:1, o:297, a:1, s:1, b:1),
% 15.87/16.31 skol64 [368, 1] (w:1, o:216, a:1, s:1, b:1),
% 15.87/16.31 skol65 [369, 6] (w:1, o:401, a:1, s:1, b:1),
% 15.87/16.31 skol66 [370, 5] (w:1, o:393, a:1, s:1, b:1),
% 15.87/16.31 skol67 [371, 2] (w:1, o:298, a:1, s:1, b:1),
% 15.87/16.31 skol68 [372, 3] (w:1, o:351, a:1, s:1, b:1),
% 15.87/16.31 skol69 [373, 1] (w:1, o:217, a:1, s:1, b:1),
% 15.87/16.31 skol70 [374, 3] (w:1, o:360, a:1, s:1, b:1),
% 15.87/16.31 skol71 [375, 3] (w:1, o:361, a:1, s:1, b:1),
% 15.87/16.31 skol72 [376, 2] (w:1, o:299, a:1, s:1, b:1),
% 15.87/16.31 skol73 [377, 3] (w:1, o:362, a:1, s:1, b:1),
% 15.87/16.31 skol74 [378, 1] (w:1, o:218, a:1, s:1, b:1),
% 15.87/16.31 skol75 [379, 0] (w:1, o:170, a:1, s:1, b:1),
% 15.87/16.31 skol76 [380, 2] (w:1, o:300, a:1, s:1, b:1),
% 15.87/16.31 skol77 [381, 5] (w:1, o:394, a:1, s:1, b:1),
% 15.87/16.31 skol78 [382, 3] (w:1, o:363, a:1, s:1, b:1),
% 15.87/16.31 skol79 [383, 3] (w:1, o:364, a:1, s:1, b:1),
% 15.87/16.31 skol80 [384, 5] (w:1, o:395, a:1, s:1, b:1),
% 15.87/16.31 skol81 [385, 5] (w:1, o:396, a:1, s:1, b:1),
% 15.87/16.31 skol82 [386, 2] (w:1, o:301, a:1, s:1, b:1),
% 15.87/16.31 skol83 [387, 2] (w:1, o:302, a:1, s:1, b:1),
% 15.87/16.31 skol84 [388, 2] (w:1, o:303, a:1, s:1, b:1),
% 15.87/16.31 skol85 [389, 3] (w:1, o:353, a:1, s:1, b:1),
% 15.87/16.31 skol86 [390, 2] (w:1, o:304, a:1, s:1, b:1),
% 15.87/16.31 skol87 [391, 2] (w:1, o:305, a:1, s:1, b:1),
% 15.87/16.31 skol88 [392, 1] (w:1, o:219, a:1, s:1, b:1),
% 15.87/16.31 skol89 [393, 1] (w:1, o:220, a:1, s:1, b:1),
% 15.87/16.31 skol90 [394, 1] (w:1, o:221, a:1, s:1, b:1),
% 15.87/16.31 skol91 [395, 2] (w:1, o:306, a:1, s:1, b:1),
% 15.87/16.31 skol92 [396, 1] (w:1, o:222, a:1, s:1, b:1),
% 15.87/16.31 skol93 [397, 3] (w:1, o:365, a:1, s:1, b:1),
% 15.87/16.31 skol94 [398, 3] (w:1, o:366, a:1, s:1, b:1),
% 15.87/16.31 skol95 [399, 2] (w:1, o:307, a:1, s:1, b:1),
% 15.87/16.31 skol96 [400, 5] (w:1, o:397, a:1, s:1, b:1),
% 15.87/16.31 skol97 [401, 1] (w:1, o:223, a:1, s:1, b:1),
% 15.87/16.31 skol98 [402, 1] (w:1, o:224, a:1, s:1, b:1).
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Starting Search:
% 15.87/16.31
% 15.87/16.31 *** allocated 170857 integers for clauses
% 15.87/16.31 *** allocated 256285 integers for clauses
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 2824
% 15.87/16.31 Kept: 2155
% 15.87/16.31 Inuse: 175
% 15.87/16.31 Deleted: 0
% 15.87/16.31 Deletedinuse: 0
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 *** allocated 256285 integers for termspace/termends
% 15.87/16.31 *** allocated 384427 integers for clauses
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 6947
% 15.87/16.31 Kept: 4345
% 15.87/16.31 Inuse: 323
% 15.87/16.31 Deleted: 0
% 15.87/16.31 Deletedinuse: 0
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 *** allocated 576640 integers for clauses
% 15.87/16.31 *** allocated 384427 integers for termspace/termends
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 14967
% 15.87/16.31 Kept: 7478
% 15.87/16.31 Inuse: 366
% 15.87/16.31 Deleted: 0
% 15.87/16.31 Deletedinuse: 0
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 *** allocated 864960 integers for clauses
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 18173
% 15.87/16.31 Kept: 9502
% 15.87/16.31 Inuse: 389
% 15.87/16.31 Deleted: 3
% 15.87/16.31 Deletedinuse: 3
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 *** allocated 576640 integers for termspace/termends
% 15.87/16.31 *** allocated 864960 integers for termspace/termends
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 31325
% 15.87/16.31 Kept: 11513
% 15.87/16.31 Inuse: 451
% 15.87/16.31 Deleted: 3
% 15.87/16.31 Deletedinuse: 3
% 15.87/16.31
% 15.87/16.31 *** allocated 1297440 integers for clauses
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 *** allocated 1297440 integers for termspace/termends
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 40256
% 15.87/16.31 Kept: 13702
% 15.87/16.31 Inuse: 544
% 15.87/16.31 Deleted: 6
% 15.87/16.31 Deletedinuse: 4
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 46419
% 15.87/16.31 Kept: 15708
% 15.87/16.31 Inuse: 607
% 15.87/16.31 Deleted: 6
% 15.87/16.31 Deletedinuse: 4
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 52179
% 15.87/16.31 Kept: 17728
% 15.87/16.31 Inuse: 650
% 15.87/16.31 Deleted: 6
% 15.87/16.31 Deletedinuse: 4
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 *** allocated 1946160 integers for clauses
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 15.87/16.31 Generated: 59989
% 15.87/16.31 Kept: 19728
% 15.87/16.31 Inuse: 692
% 15.87/16.31 Deleted: 8
% 15.87/16.31 Deletedinuse: 4
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 Resimplifying clauses:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31 Resimplifying inuse:
% 15.87/16.31 Done
% 15.87/16.31
% 15.87/16.31
% 15.87/16.31 Intermediate Status:
% 58.86/59.27 Generated: 66505
% 58.86/59.27 Kept: 21753
% 58.86/59.27 Inuse: 713
% 58.86/59.27 Deleted: 372
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 *** allocated 1946160 integers for termspace/termends
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 74918
% 58.86/59.27 Kept: 23885
% 58.86/59.27 Inuse: 742
% 58.86/59.27 Deleted: 372
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 82093
% 58.86/59.27 Kept: 25933
% 58.86/59.27 Inuse: 802
% 58.86/59.27 Deleted: 372
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 *** allocated 2919240 integers for clauses
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 93484
% 58.86/59.27 Kept: 28073
% 58.86/59.27 Inuse: 830
% 58.86/59.27 Deleted: 454
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 100946
% 58.86/59.27 Kept: 30227
% 58.86/59.27 Inuse: 840
% 58.86/59.27 Deleted: 484
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 115055
% 58.86/59.27 Kept: 32244
% 58.86/59.27 Inuse: 861
% 58.86/59.27 Deleted: 484
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 *** allocated 2919240 integers for termspace/termends
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 125566
% 58.86/59.27 Kept: 34339
% 58.86/59.27 Inuse: 905
% 58.86/59.27 Deleted: 484
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 140809
% 58.86/59.27 Kept: 36366
% 58.86/59.27 Inuse: 955
% 58.86/59.27 Deleted: 484
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 *** allocated 4378860 integers for clauses
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 190341
% 58.86/59.27 Kept: 39769
% 58.86/59.27 Inuse: 1070
% 58.86/59.27 Deleted: 484
% 58.86/59.27 Deletedinuse: 4
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying clauses:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 227171
% 58.86/59.27 Kept: 45107
% 58.86/59.27 Inuse: 1110
% 58.86/59.27 Deleted: 1580
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 *** allocated 4378860 integers for termspace/termends
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 244313
% 58.86/59.27 Kept: 48928
% 58.86/59.27 Inuse: 1125
% 58.86/59.27 Deleted: 1580
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 254482
% 58.86/59.27 Kept: 51120
% 58.86/59.27 Inuse: 1160
% 58.86/59.27 Deleted: 1580
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 297164
% 58.86/59.27 Kept: 53164
% 58.86/59.27 Inuse: 1215
% 58.86/59.27 Deleted: 1580
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 311307
% 58.86/59.27 Kept: 55309
% 58.86/59.27 Inuse: 1245
% 58.86/59.27 Deleted: 1580
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 333259
% 58.86/59.27 Kept: 57427
% 58.86/59.27 Inuse: 1250
% 58.86/59.27 Deleted: 1580
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 355304
% 58.86/59.27 Kept: 59554
% 58.86/59.27 Inuse: 1255
% 58.86/59.27 Deleted: 1580
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 379054
% 58.86/59.27 Kept: 61931
% 58.86/59.27 Inuse: 1265
% 58.86/59.27 Deleted: 1580
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying clauses:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 *** allocated 6568290 integers for clauses
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 401892
% 58.86/59.27 Kept: 64211
% 58.86/59.27 Inuse: 1270
% 58.86/59.27 Deleted: 1590
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 *** allocated 6568290 integers for termspace/termends
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 411892
% 58.86/59.27 Kept: 66318
% 58.86/59.27 Inuse: 1310
% 58.86/59.27 Deleted: 1590
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 423716
% 58.86/59.27 Kept: 68454
% 58.86/59.27 Inuse: 1380
% 58.86/59.27 Deleted: 1590
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 433838
% 58.86/59.27 Kept: 70694
% 58.86/59.27 Inuse: 1424
% 58.86/59.27 Deleted: 1591
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 446454
% 58.86/59.27 Kept: 73107
% 58.86/59.27 Inuse: 1459
% 58.86/59.27 Deleted: 1591
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27
% 58.86/59.27 Intermediate Status:
% 58.86/59.27 Generated: 457797
% 58.86/59.27 Kept: 75182
% 58.86/59.27 Inuse: 1489
% 58.86/59.27 Deleted: 1591
% 58.86/59.27 Deletedinuse: 8
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 58.86/59.27 Done
% 58.86/59.27
% 58.86/59.27 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 469696
% 135.63/136.03 Kept: 77247
% 135.63/136.03 Inuse: 1542
% 135.63/136.03 Deleted: 1593
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 478173
% 135.63/136.03 Kept: 79309
% 135.63/136.03 Inuse: 1562
% 135.63/136.03 Deleted: 1593
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 487005
% 135.63/136.03 Kept: 81544
% 135.63/136.03 Inuse: 1592
% 135.63/136.03 Deleted: 1593
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying clauses:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 500428
% 135.63/136.03 Kept: 83778
% 135.63/136.03 Inuse: 1612
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 506146
% 135.63/136.03 Kept: 85851
% 135.63/136.03 Inuse: 1632
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 *** allocated 9852435 integers for termspace/termends
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 516299
% 135.63/136.03 Kept: 87940
% 135.63/136.03 Inuse: 1647
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 524775
% 135.63/136.03 Kept: 90327
% 135.63/136.03 Inuse: 1662
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 536408
% 135.63/136.03 Kept: 92507
% 135.63/136.03 Inuse: 1697
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 *** allocated 9852435 integers for clauses
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 550454
% 135.63/136.03 Kept: 94790
% 135.63/136.03 Inuse: 1727
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 558536
% 135.63/136.03 Kept: 96881
% 135.63/136.03 Inuse: 1767
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 567182
% 135.63/136.03 Kept: 99114
% 135.63/136.03 Inuse: 1812
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 577370
% 135.63/136.03 Kept: 101126
% 135.63/136.03 Inuse: 1867
% 135.63/136.03 Deleted: 1779
% 135.63/136.03 Deletedinuse: 8
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying clauses:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 598666
% 135.63/136.03 Kept: 103192
% 135.63/136.03 Inuse: 1922
% 135.63/136.03 Deleted: 2253
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 611673
% 135.63/136.03 Kept: 105389
% 135.63/136.03 Inuse: 1961
% 135.63/136.03 Deleted: 2254
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 632021
% 135.63/136.03 Kept: 107445
% 135.63/136.03 Inuse: 1981
% 135.63/136.03 Deleted: 2254
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 643816
% 135.63/136.03 Kept: 110158
% 135.63/136.03 Inuse: 1996
% 135.63/136.03 Deleted: 2254
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 *** allocated 14778652 integers for termspace/termends
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 652404
% 135.63/136.03 Kept: 112624
% 135.63/136.03 Inuse: 2016
% 135.63/136.03 Deleted: 2254
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 664450
% 135.63/136.03 Kept: 115055
% 135.63/136.03 Inuse: 2031
% 135.63/136.03 Deleted: 2254
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 675913
% 135.63/136.03 Kept: 117153
% 135.63/136.03 Inuse: 2046
% 135.63/136.03 Deleted: 2254
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 694281
% 135.63/136.03 Kept: 120566
% 135.63/136.03 Inuse: 2061
% 135.63/136.03 Deleted: 2254
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 703591
% 135.63/136.03 Kept: 123181
% 135.63/136.03 Inuse: 2071
% 135.63/136.03 Deleted: 2254
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying clauses:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 721150
% 135.63/136.03 Kept: 125245
% 135.63/136.03 Inuse: 2116
% 135.63/136.03 Deleted: 2954
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 135.63/136.03 Generated: 730122
% 135.63/136.03 Kept: 127302
% 135.63/136.03 Inuse: 2141
% 135.63/136.03 Deleted: 2954
% 135.63/136.03 Deletedinuse: 9
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 Resimplifying inuse:
% 135.63/136.03 Done
% 135.63/136.03
% 135.63/136.03 *** allocated 14778652 integers for clauses
% 135.63/136.03
% 135.63/136.03 Intermediate Status:
% 221.04/221.46 Generated: 753977
% 221.04/221.46 Kept: 129455
% 221.04/221.46 Inuse: 2206
% 221.04/221.46 Deleted: 2954
% 221.04/221.46 Deletedinuse: 9
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 791939
% 221.04/221.46 Kept: 131634
% 221.04/221.46 Inuse: 2281
% 221.04/221.46 Deleted: 2954
% 221.04/221.46 Deletedinuse: 9
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 801875
% 221.04/221.46 Kept: 133983
% 221.04/221.46 Inuse: 2321
% 221.04/221.46 Deleted: 2954
% 221.04/221.46 Deletedinuse: 9
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 881190
% 221.04/221.46 Kept: 136225
% 221.04/221.46 Inuse: 2371
% 221.04/221.46 Deleted: 2962
% 221.04/221.46 Deletedinuse: 12
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 895102
% 221.04/221.46 Kept: 138330
% 221.04/221.46 Inuse: 2432
% 221.04/221.46 Deleted: 2966
% 221.04/221.46 Deletedinuse: 12
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 904742
% 221.04/221.46 Kept: 140339
% 221.04/221.46 Inuse: 2480
% 221.04/221.46 Deleted: 2968
% 221.04/221.46 Deletedinuse: 13
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 941285
% 221.04/221.46 Kept: 145852
% 221.04/221.46 Inuse: 2486
% 221.04/221.46 Deleted: 2968
% 221.04/221.46 Deletedinuse: 13
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying clauses:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 949653
% 221.04/221.46 Kept: 148048
% 221.04/221.46 Inuse: 2526
% 221.04/221.46 Deleted: 3678
% 221.04/221.46 Deletedinuse: 13
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 *** allocated 22167978 integers for termspace/termends
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 964488
% 221.04/221.46 Kept: 150317
% 221.04/221.46 Inuse: 2565
% 221.04/221.46 Deleted: 3679
% 221.04/221.46 Deletedinuse: 13
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 972379
% 221.04/221.46 Kept: 152401
% 221.04/221.46 Inuse: 2600
% 221.04/221.46 Deleted: 3681
% 221.04/221.46 Deletedinuse: 15
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1017763
% 221.04/221.46 Kept: 157582
% 221.04/221.46 Inuse: 2615
% 221.04/221.46 Deleted: 3681
% 221.04/221.46 Deletedinuse: 15
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1060569
% 221.04/221.46 Kept: 162228
% 221.04/221.46 Inuse: 2620
% 221.04/221.46 Deleted: 3681
% 221.04/221.46 Deletedinuse: 15
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1103377
% 221.04/221.46 Kept: 164844
% 221.04/221.46 Inuse: 2640
% 221.04/221.46 Deleted: 3685
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying clauses:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1183468
% 221.04/221.46 Kept: 166897
% 221.04/221.46 Inuse: 2707
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1195241
% 221.04/221.46 Kept: 169103
% 221.04/221.46 Inuse: 2730
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1234070
% 221.04/221.46 Kept: 171461
% 221.04/221.46 Inuse: 2765
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1248978
% 221.04/221.46 Kept: 173635
% 221.04/221.46 Inuse: 2805
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1261454
% 221.04/221.46 Kept: 175980
% 221.04/221.46 Inuse: 2835
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1270711
% 221.04/221.46 Kept: 178079
% 221.04/221.46 Inuse: 2855
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1285668
% 221.04/221.46 Kept: 180494
% 221.04/221.46 Inuse: 2880
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1298460
% 221.04/221.46 Kept: 182533
% 221.04/221.46 Inuse: 2895
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1309859
% 221.04/221.46 Kept: 184945
% 221.04/221.46 Inuse: 2920
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1353899
% 221.04/221.46 Kept: 189079
% 221.04/221.46 Inuse: 2931
% 221.04/221.46 Deleted: 4366
% 221.04/221.46 Deletedinuse: 19
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying clauses:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 Resimplifying inuse:
% 221.04/221.46 Done
% 221.04/221.46
% 221.04/221.46 *** allocated 22167978 integers for clauses
% 221.04/221.46
% 221.04/221.46 Intermediate Status:
% 221.04/221.46 Generated: 1369299
% 221.04/221.46 KCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------