TSTP Solution File: SWW471+7 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW471+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 23:22:14 EDT 2022
% Result : Unknown 245.42s 245.84s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW471+7 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jun 5 07:33:37 EDT 2022
% 0.20/0.34 % CPUTime :
% 1.96/2.34 *** allocated 10000 integers for termspace/termends
% 1.96/2.34 *** allocated 10000 integers for clauses
% 1.96/2.34 *** allocated 10000 integers for justifications
% 1.96/2.34 *** allocated 15000 integers for termspace/termends
% 1.96/2.34 *** allocated 22500 integers for termspace/termends
% 1.96/2.34 *** allocated 33750 integers for termspace/termends
% 1.96/2.34 *** allocated 50625 integers for termspace/termends
% 1.96/2.34 *** allocated 75937 integers for termspace/termends
% 1.96/2.34 Bliksem 1.12
% 1.96/2.34
% 1.96/2.34
% 1.96/2.34 Automatic Strategy Selection
% 1.96/2.34
% 1.96/2.34 *** allocated 113905 integers for termspace/termends
% 1.96/2.34 *** allocated 170857 integers for termspace/termends
% 1.96/2.34 *** allocated 256285 integers for termspace/termends
% 1.96/2.34 *** allocated 384427 integers for termspace/termends
% 1.96/2.34
% 1.96/2.34 Clauses:
% 1.96/2.34
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( X, fun( fun( fun( Y, X ), fun( fun(
% 1.96/2.34 Y, bool ), X ) ), bool ) ) ), big_comm_monoid_big( X, Y ) ) =
% 1.96/2.34 big_comm_monoid_big( X, Y ) }.
% 1.96/2.34 { ! lattice( X ), ti( fun( fun( X, bool ), X ), big_lattice_Inf_fin( X ) )
% 1.96/2.34 = big_lattice_Inf_fin( X ) }.
% 1.96/2.34 { ! lattice( X ), ti( fun( fun( X, bool ), X ), big_lattice_Sup_fin( X ) )
% 1.96/2.34 = big_lattice_Sup_fin( X ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( fun( fun( X, bool ), X ), bool ) ),
% 1.96/2.34 big_semilattice_big( X ) ) = big_semilattice_big( X ) }.
% 1.96/2.34 { ti( fun( fun( X, Y ), fun( fun( Z, X ), fun( Z, Y ) ) ), combb( X, Y, Z )
% 1.96/2.34 ) = combb( X, Y, Z ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( Y, Z ) ), fun( Y, fun( X, Z ) ) ), combc( X, Y, Z )
% 1.96/2.34 ) = combc( X, Y, Z ) }.
% 1.96/2.34 { ti( fun( X, X ), combi( X ) ) = combi( X ) }.
% 1.96/2.34 { ti( fun( X, fun( Y, X ) ), combk( X, Y ) ) = combk( X, Y ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( Y, Z ) ), fun( fun( X, Y ), fun( X, Z ) ) ), combs
% 1.96/2.34 ( X, Y, Z ) ) = combs( X, Y, Z ) }.
% 1.96/2.34 { ti( fun( pname, option( com ) ), body_1 ) = body_1 }.
% 1.96/2.34 { ti( fun( pname, com ), body ) = body }.
% 1.96/2.34 { ti( fun( fun( state, bool ), fun( com, fun( com, com ) ) ), cond ) = cond
% 1.96/2.34 }.
% 1.96/2.34 { ti( com, skip ) = skip }.
% 1.96/2.34 { ti( fun( com, fun( com, com ) ), semi ) = semi }.
% 1.96/2.34 { ti( fun( fun( state, bool ), fun( com, com ) ), while ) = while }.
% 1.96/2.34 { ti( fun( com, nat ), com_size ) = com_size }.
% 1.96/2.34 { ti( fun( fun( X, bool ), nat ), finite_card( X ) ) = finite_card( X ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( Y, Y ) ), bool ), finite_comp_fun_idem( X, Y ) ) =
% 1.96/2.34 finite_comp_fun_idem( X, Y ) }.
% 1.96/2.34 { ti( fun( fun( X, bool ), bool ), finite_finite_1( X ) ) = finite_finite_1
% 1.96/2.34 ( X ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( fun( X, bool ), X ) ), finite_fold1
% 1.96/2.34 ( X ) ) = finite_fold1( X ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( fun( X, bool ), fun( X, bool ) ) ),
% 1.96/2.34 finite_fold1Set( X ) ) = finite_fold1Set( X ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun( Y,
% 1.96/2.34 bool ), X ) ) ) ), finite_fold_image( X, Y ) ) = finite_fold_image( X, Y
% 1.96/2.34 ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( X, fun( fun( Y, X ), fun( fun( fun(
% 1.96/2.34 Y, bool ), X ), bool ) ) ) ), finite1357897459simple( X, Y ) ) =
% 1.96/2.34 finite1357897459simple( X, Y ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( X, fun( fun( Y, X ), fun( fun( fun(
% 1.96/2.34 Y, bool ), X ), bool ) ) ) ), finite908156982e_idem( X, Y ) ) =
% 1.96/2.34 finite908156982e_idem( X, Y ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( fun( fun( X, bool ), X ), bool ) ),
% 1.96/2.34 finite_folding_one( X ) ) = finite_folding_one( X ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( X, X ) ), fun( fun( fun( X, bool ), X ), bool ) ),
% 1.96/2.34 finite2073411215e_idem( X ) ) = finite2073411215e_idem( X ) }.
% 1.96/2.34 { ! minus( X ), ti( fun( X, fun( X, X ) ), minus_minus( X ) ) = minus_minus
% 1.96/2.34 ( X ) }.
% 1.96/2.34 { ! one( X ), ti( X, one_one( X ) ) = one_one( X ) }.
% 1.96/2.34 { ! monoid_add( X ), ti( fun( X, fun( X, X ) ), plus_plus( X ) ) =
% 1.96/2.34 plus_plus( X ) }.
% 1.96/2.34 { ! cancel_semigroup_add( X ), ti( fun( X, fun( X, X ) ), plus_plus( X ) )
% 1.96/2.34 = plus_plus( X ) }.
% 1.96/2.34 { ! ab_semigroup_add( X ), ti( fun( X, fun( X, X ) ), plus_plus( X ) ) =
% 1.96/2.34 plus_plus( X ) }.
% 1.96/2.34 { ! monoid_mult( X ), ti( fun( X, fun( X, X ) ), times_times( X ) ) =
% 1.96/2.34 times_times( X ) }.
% 1.96/2.34 { ! no_zero_divisors( X ), ti( fun( X, fun( X, X ) ), times_times( X ) ) =
% 1.96/2.34 times_times( X ) }.
% 1.96/2.34 { ! mult_zero( X ), ti( fun( X, fun( X, X ) ), times_times( X ) ) =
% 1.96/2.34 times_times( X ) }.
% 1.96/2.34 { ! ab_semigroup_mult( X ), ti( fun( X, fun( X, X ) ), times_times( X ) ) =
% 1.96/2.34 times_times( X ) }.
% 1.96/2.34 { ! semiring( X ), ti( fun( X, fun( X, X ) ), times_times( X ) ) =
% 1.96/2.34 times_times( X ) }.
% 1.96/2.34 { ! zero( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }.
% 1.96/2.34 { ti( fun( fun( X, bool ), X ), the_1( X ) ) = the_1( X ) }.
% 1.96/2.34 { ti( X, undefined( X ) ) = undefined( X ) }.
% 1.96/2.34 { ti( fun( com, hoare_2118899576triple( state ) ), hoare_Mirabelle_MGT ) =
% 1.96/2.34 hoare_Mirabelle_MGT }.
% 1.96/2.34 { ti( fun( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ) ), hoare_1301688828derivs( X
% 1.96/2.34 ) ) = hoare_1301688828derivs( X ) }.
% 1.96/2.34 { ti( fun( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ) ), hoare_902341502valids( X )
% 1.96/2.34 ) = hoare_902341502valids( X ) }.
% 1.96/2.34 { ti( fun( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ) ) ) ), hoare_759811442triple( X )
% 1.96/2.34 ) = hoare_759811442triple( X ) }.
% 1.96/2.34 { ti( fun( fun( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), Y ) ) ), fun( hoare_2118899576triple( X ), Y ) ),
% 1.96/2.34 hoare_225284258e_case( X, Y ) ) = hoare_225284258e_case( X, Y ) }.
% 1.96/2.34 { ti( fun( fun( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), Y ) ) ), fun( hoare_2118899576triple( X ), Y ) ),
% 1.96/2.34 hoare_1759541758le_rec( X, Y ) ) = hoare_1759541758le_rec( X, Y ) }.
% 1.96/2.34 { ti( fun( fun( X, nat ), fun( hoare_2118899576triple( X ), nat ) ),
% 1.96/2.34 hoare_2043812435e_size( X ) ) = hoare_2043812435e_size( X ) }.
% 1.96/2.34 { ti( fun( nat, fun( hoare_2118899576triple( X ), bool ) ),
% 1.96/2.34 hoare_1942962616_valid( X ) ) = hoare_1942962616_valid( X ) }.
% 1.96/2.34 { ti( fun( bool, fun( X, fun( X, X ) ) ), if( X ) ) = if( X ) }.
% 1.96/2.34 { ! semilattice_inf( X ), ti( fun( X, fun( X, X ) ), semilattice_inf_inf( X
% 1.96/2.34 ) ) = semilattice_inf_inf( X ) }.
% 1.96/2.34 { ! semilattice_sup( X ), ti( fun( X, fun( X, X ) ), semilattice_sup_sup( X
% 1.96/2.34 ) ) = semilattice_sup_sup( X ) }.
% 1.96/2.34 { ti( fun( nat, nat ), suc ) = suc }.
% 1.96/2.34 { ti( fun( X, fun( fun( nat, X ), fun( nat, X ) ) ), nat_case( X ) ) =
% 1.96/2.34 nat_case( X ) }.
% 1.96/2.34 { ti( fun( com, nat ), size_size( com ) ) = size_size( com ) }.
% 1.96/2.34 { ti( fun( hoare_2118899576triple( X ), nat ), size_size(
% 1.96/2.34 hoare_2118899576triple( X ) ) ) = size_size( hoare_2118899576triple( X )
% 1.96/2.34 ) }.
% 1.96/2.34 { ti( fun( com, fun( state, fun( state, bool ) ) ), evalc ) = evalc }.
% 1.96/2.34 { ti( fun( com, fun( state, fun( nat, fun( state, bool ) ) ) ), evaln ) =
% 1.96/2.34 evaln }.
% 1.96/2.34 { ti( fun( option( com ), com ), the( com ) ) = the( com ) }.
% 1.96/2.34 { ! bot( X ), ti( X, bot_bot( X ) ) = bot_bot( X ) }.
% 1.96/2.34 { ! ord( X ), ti( fun( X, fun( X, bool ) ), ord_less( X ) ) = ord_less( X )
% 1.96/2.34 }.
% 1.96/2.34 { ! ord( X ), ti( fun( X, fun( X, bool ) ), ord_less_eq( X ) ) =
% 1.96/2.34 ord_less_eq( X ) }.
% 1.96/2.34 { ti( fun( X, fun( fun( X, bool ), X ) ), partial_flat_lub( X ) ) =
% 1.96/2.34 partial_flat_lub( X ) }.
% 1.96/2.34 { ti( fun( fun( X, bool ), fun( fun( X, bool ), bool ) ), powp( X ) ) =
% 1.96/2.34 powp( X ) }.
% 1.96/2.34 { ti( fun( fun( X, bool ), fun( X, bool ) ), collect( X ) ) = collect( X )
% 1.96/2.34 }.
% 1.96/2.34 { ti( fun( fun( X, Y ), fun( fun( X, bool ), fun( Y, bool ) ) ), image( X,
% 1.96/2.34 Y ) ) = image( X, Y ) }.
% 1.96/2.34 { ti( fun( X, fun( fun( X, bool ), fun( X, bool ) ) ), insert( X ) ) =
% 1.96/2.34 insert( X ) }.
% 1.96/2.34 { ti( fun( fun( X, bool ), X ), the_elem( X ) ) = the_elem( X ) }.
% 1.96/2.34 { ti( fun( fun( X, bool ), fun( fun( Y, bool ), fun( sum_sum( X, Y ), bool
% 1.96/2.34 ) ) ), sum_Plus( X, Y ) ) = sum_Plus( X, Y ) }.
% 1.96/2.34 { ti( bool, fFalse ) = fFalse }.
% 1.96/2.34 { ti( fun( bool, bool ), fNot ) = fNot }.
% 1.96/2.34 { ti( bool, fTrue ) = fTrue }.
% 1.96/2.34 { ti( fun( bool, fun( bool, bool ) ), fconj ) = fconj }.
% 1.96/2.34 { ti( fun( bool, fun( bool, bool ) ), fdisj ) = fdisj }.
% 1.96/2.34 { ti( fun( X, fun( X, bool ) ), fequal( X ) ) = fequal( X ) }.
% 1.96/2.34 { ti( fun( bool, fun( bool, bool ) ), fimplies ) = fimplies }.
% 1.96/2.34 { hAPP( X, Y, ti( fun( X, Y ), Z ), T ) = hAPP( X, Y, Z, T ) }.
% 1.96/2.34 { hAPP( X, Y, Z, ti( X, T ) ) = hAPP( X, Y, Z, T ) }.
% 1.96/2.34 { ti( X, hAPP( Y, X, Z, T ) ) = hAPP( Y, X, Z, T ) }.
% 1.96/2.34 { ! hBOOL( ti( bool, X ) ), hBOOL( X ) }.
% 1.96/2.34 { ! hBOOL( X ), hBOOL( ti( bool, X ) ) }.
% 1.96/2.34 { ti( fun( X, fun( fun( X, bool ), bool ) ), member( X ) ) = member( X ) }
% 1.96/2.34 .
% 1.96/2.34 { ti( fun( hoare_2118899576triple( x_a ), bool ), g ) = g }.
% 1.96/2.34 { ti( fun( pname, fun( x_a, fun( state, bool ) ) ), p ) = p }.
% 1.96/2.34 { ti( fun( pname, bool ), procs ) = procs }.
% 1.96/2.34 { ti( fun( pname, fun( x_a, fun( state, bool ) ) ), q ) = q }.
% 1.96/2.34 { ti( nat, n ) = n }.
% 1.96/2.34 { ! hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Y
% 1.96/2.34 ), Z ), T ) = hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple
% 1.96/2.34 ( X ), hAPP( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ),
% 1.96/2.34 hoare_759811442triple( X ), U ), W ), V0 ), Y = U }.
% 1.96/2.34 { ! hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Y
% 1.96/2.34 ), Z ), T ) = hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple
% 1.96/2.34 ( X ), hAPP( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ),
% 1.96/2.34 hoare_759811442triple( X ), U ), W ), V0 ), alpha1( Z, T, W, V0 ) }.
% 1.96/2.34 { ! Y = U, ! alpha1( Z, T, W, V0 ), hAPP( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun( state, bool ) )
% 1.96/2.34 , hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun
% 1.96/2.34 ( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) )
% 1.96/2.34 , hoare_759811442triple( X ), Y ), Z ), T ) = hAPP( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state, bool
% 1.96/2.34 ) ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple
% 1.96/2.34 ( X ) ) ), hoare_759811442triple( X ), U ), W ), V0 ) }.
% 1.96/2.34 { ! alpha1( X, Y, Z, T ), X = Z }.
% 1.96/2.34 { ! alpha1( X, Y, Z, T ), Y = T }.
% 1.96/2.34 { ! X = Z, ! Y = T, alpha1( X, Y, Z, T ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_902341502valids( X ), Y ), Z ) ), ! alpha2( X
% 1.96/2.34 , Y, T ), alpha19( X, Z, T ) }.
% 1.96/2.34 { alpha2( X, Y, skol1( X, Y, T ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_902341502valids( X ), Y ), Z ) ) }.
% 1.96/2.34 { ! alpha19( X, Z, skol1( X, Y, Z ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_902341502valids( X ), Y ), Z ) ) }.
% 1.96/2.34 { ! alpha19( X, Y, Z ), ! hBOOL( hAPP( fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), bool, hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ), member(
% 1.96/2.34 hoare_2118899576triple( X ) ), T ), Y ) ), hBOOL( hAPP(
% 1.96/2.34 hoare_2118899576triple( X ), bool, hAPP( nat, fun( hoare_2118899576triple
% 1.96/2.34 ( X ), bool ), hoare_1942962616_valid( X ), Z ), T ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP(
% 1.96/2.34 hoare_2118899576triple( X ), fun( fun( hoare_2118899576triple( X ), bool
% 1.96/2.34 ), bool ), member( hoare_2118899576triple( X ) ), skol2( X, Y, T ) ), Y
% 1.96/2.34 ) ), alpha19( X, Y, Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), Z ),
% 1.96/2.34 skol2( X, Y, Z ) ) ), alpha19( X, Y, Z ) }.
% 1.96/2.34 { ! alpha2( X, Y, Z ), ! hBOOL( hAPP( fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), bool, hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ), member(
% 1.96/2.34 hoare_2118899576triple( X ) ), T ), Y ) ), hBOOL( hAPP(
% 1.96/2.34 hoare_2118899576triple( X ), bool, hAPP( nat, fun( hoare_2118899576triple
% 1.96/2.34 ( X ), bool ), hoare_1942962616_valid( X ), Z ), T ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP(
% 1.96/2.34 hoare_2118899576triple( X ), fun( fun( hoare_2118899576triple( X ), bool
% 1.96/2.34 ), bool ), member( hoare_2118899576triple( X ) ), skol3( X, Y, T ) ), Y
% 1.96/2.34 ) ), alpha2( X, Y, Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), Z ),
% 1.96/2.34 skol3( X, Y, Z ) ) ), alpha2( X, Y, Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), semilattice_sup_sup( fun( hoare_2118899576triple( X ), bool ) )
% 1.96/2.34 , Y ), hAPP( fun( pname, bool ), fun( hoare_2118899576triple( X ), bool )
% 1.96/2.34 , hAPP( fun( pname, hoare_2118899576triple( X ) ), fun( fun( pname, bool
% 1.96/2.34 ), fun( hoare_2118899576triple( X ), bool ) ), image( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.96/2.34 ) ) ), fun( pname, hoare_2118899576triple( X ) ), hAPP( fun( pname, fun
% 1.96/2.34 ( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), fun( fun
% 1.96/2.34 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.96/2.34 ), hoare_2118899576triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), hAPP
% 1.96/2.34 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ) ),
% 1.96/2.34 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.96/2.34 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.96/2.34 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple(
% 1.96/2.34 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.96/2.34 ( state, bool ) ), hoare_2118899576triple( X ) ) ), pname ),
% 1.96/2.34 hoare_759811442triple( X ) ), Z ) ), body ) ), T ) ), U ) ) ), hAPP( fun
% 1.96/2.34 ( pname, bool ), fun( hoare_2118899576triple( X ), bool ), hAPP( fun(
% 1.96/2.34 pname, hoare_2118899576triple( X ) ), fun( fun( pname, bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), image( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.96/2.34 ) ) ), fun( pname, hoare_2118899576triple( X ) ), hAPP( fun( pname, fun
% 1.96/2.34 ( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), fun( fun
% 1.96/2.34 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.96/2.34 ), hoare_2118899576triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), hAPP
% 1.96/2.34 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ) ),
% 1.96/2.34 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.96/2.34 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.96/2.34 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple(
% 1.96/2.34 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.96/2.34 ( state, bool ) ), hoare_2118899576triple( X ) ) ), pname ),
% 1.96/2.34 hoare_759811442triple( X ) ), Z ) ), hAPP( fun( pname, option( com ) ),
% 1.96/2.34 fun( pname, com ), hAPP( fun( option( com ), com ), fun( fun( pname,
% 1.96/2.34 option( com ) ), fun( pname, com ) ), combb( option( com ), com, pname )
% 1.96/2.34 , the( com ) ), body_1 ) ) ), T ) ), U ) ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun( pname,
% 1.96/2.34 bool ), fun( hoare_2118899576triple( X ), bool ), hAPP( fun( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ), fun( fun( pname, bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), image( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.96/2.34 ) ) ), fun( pname, hoare_2118899576triple( X ) ), hAPP( fun( pname, fun
% 1.96/2.34 ( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), fun( fun
% 1.96/2.34 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.96/2.34 ), hoare_2118899576triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), hAPP
% 1.96/2.34 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ) ),
% 1.96/2.34 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.96/2.34 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.96/2.34 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple(
% 1.96/2.34 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.96/2.34 ( state, bool ) ), hoare_2118899576triple( X ) ) ), pname ),
% 1.96/2.34 hoare_759811442triple( X ) ), Z ) ), body ) ), T ) ), U ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.34 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X
% 1.96/2.34 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ), T
% 1.96/2.34 ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.34 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.96/2.34 fun( X, bool ) ), Y ), Z ), T ) ), hBOOL( hAPP( X, bool, Y, T ) ), hBOOL
% 1.96/2.34 ( hAPP( X, bool, Z, T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Z, T ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.34 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, T ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.34 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Z ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.34 , semilattice_sup_sup( fun( X, bool ) ), Y ), T ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Z ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.34 , semilattice_sup_sup( fun( X, bool ) ), Y ), T ) ) ) }.
% 1.96/2.34 { ! ti( X, Z ) = hAPP( Y, X, T, U ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.34 hAPP( Y, fun( fun( Y, bool ), bool ), member( Y ), U ), W ) ), hBOOL(
% 1.96/2.34 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.34 ( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ), fun
% 1.96/2.34 ( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), W ) ) ) }.
% 1.96/2.34 { hAPP( hoare_2118899576triple( X ), Y, hAPP( fun( fun( X, fun( state, bool
% 1.96/2.34 ) ), fun( com, fun( fun( X, fun( state, bool ) ), Y ) ) ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), Y ), hoare_1759541758le_rec( X, Y ), Z ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), T
% 1.96/2.34 ), U ), W ) ) = hAPP( fun( X, fun( state, bool ) ), Y, hAPP( com, fun(
% 1.96/2.34 fun( X, fun( state, bool ) ), Y ), hAPP( fun( X, fun( state, bool ) ),
% 1.96/2.34 fun( com, fun( fun( X, fun( state, bool ) ), Y ) ), Z, T ), U ), W ) }.
% 1.96/2.34 { hAPP( hoare_2118899576triple( X ), Y, hAPP( fun( fun( X, fun( state, bool
% 1.96/2.34 ) ), fun( com, fun( fun( X, fun( state, bool ) ), Y ) ) ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), Y ), hoare_225284258e_case( X, Y ), Z ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), T
% 1.96/2.34 ), U ), W ) ) = hAPP( fun( X, fun( state, bool ) ), Y, hAPP( com, fun(
% 1.96/2.34 fun( X, fun( state, bool ) ), Y ), hAPP( fun( X, fun( state, bool ) ),
% 1.96/2.34 fun( com, fun( fun( X, fun( state, bool ) ), Y ) ), Z, T ), U ), W ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.96/2.34 bool ), fun( Y, bool ) ), image( X, Y ), Z ), hAPP( fun( X, bool ), fun(
% 1.96/2.34 X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 semilattice_sup_sup( fun( X, bool ) ), T ), U ) ) = hAPP( fun( Y, bool )
% 1.96/2.34 , fun( Y, bool ), hAPP( fun( Y, bool ), fun( fun( Y, bool ), fun( Y, bool
% 1.96/2.34 ) ), semilattice_sup_sup( fun( Y, bool ) ), hAPP( fun( X, bool ), fun( Y
% 1.96/2.34 , bool ), hAPP( fun( X, Y ), fun( fun( X, bool ), fun( Y, bool ) ), image
% 1.96/2.34 ( X, Y ), Z ), T ) ), hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X
% 1.96/2.34 , Y ), fun( fun( X, bool ), fun( Y, bool ) ), image( X, Y ), Z ), U ) ) }
% 1.96/2.34 .
% 1.96/2.34 { ! lattice( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y
% 1.96/2.34 , X ), fun( fun( Y, X ), fun( Y, X ) ), semilattice_sup_sup( fun( Y, X )
% 1.96/2.34 ), Z ), T ), U ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup
% 1.96/2.34 ( X ), hAPP( Y, X, Z, U ) ), hAPP( Y, X, T, U ) ) }.
% 1.96/2.34 { ! lattice( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y
% 1.96/2.34 , X ), fun( fun( Y, X ), fun( Y, X ) ), semilattice_sup_sup( fun( Y, X )
% 1.96/2.34 ), Z ), T ), U ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup
% 1.96/2.34 ( X ), hAPP( Y, X, Z, U ) ), hAPP( Y, X, T, U ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), Z ) ), ! hBOOL(
% 1.96/2.34 hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), T ), Y ) ), hBOOL( hAPP
% 1.96/2.34 ( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), T ), Z ) ) }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.34 X ), semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Z ), T ) ) }.
% 1.96/2.34 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.96/2.34 ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), Z )
% 1.96/2.34 ), T ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y )
% 1.96/2.34 , hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z ), T ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.34 X ), semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Z ), T ) ) }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), T ) ) }.
% 1.96/2.34 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.96/2.34 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z )
% 1.96/2.34 , T ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z )
% 1.96/2.34 , hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), T ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), T ) ) }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) }.
% 1.96/2.34 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.96/2.34 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y )
% 1.96/2.34 , Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y )
% 1.96/2.34 , Z ) }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Z ), Y ) }.
% 1.96/2.34 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.96/2.34 ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X )
% 1.96/2.34 , Z ), Y ) }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Z ), Y ) }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Y ) = ti( X, Y ) }.
% 1.96/2.34 { ! semilattice_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Y ) = ti( X, Y ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), ! ti( T, U ) = hAPP( X, T, W, Y ), hBOOL( hAPP
% 1.96/2.34 ( fun( T, bool ), bool, hAPP( T, fun( fun( T, bool ), bool ), member( T )
% 1.96/2.34 , U ), hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun
% 1.96/2.34 ( X, bool ), fun( T, bool ) ), image( X, T ), W ), Z ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( T, bool ), bool, hAPP( T,
% 1.96/2.34 fun( fun( T, bool ), bool ), member( T ), hAPP( X, T, U, Y ) ), hAPP( fun
% 1.96/2.34 ( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun( X, bool ), fun
% 1.96/2.34 ( T, bool ) ), image( X, T ), U ), Z ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X
% 1.96/2.34 ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ),
% 1.96/2.34 hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y, fun( fun( Y, bool ), bool ),
% 1.96/2.34 member( Y ), skol4( W, Y, V0, V1, U ) ), U ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X
% 1.96/2.34 ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ),
% 1.96/2.34 ti( X, Z ) = hAPP( Y, X, T, skol4( X, Y, Z, T, U ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y, fun( fun( Y, bool ), bool )
% 1.96/2.34 , member( Y ), W ), U ) ), ! ti( X, Z ) = hAPP( Y, X, T, W ), hBOOL( hAPP
% 1.96/2.34 ( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X )
% 1.96/2.34 , Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ), fun( fun
% 1.96/2.34 ( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.34 , semilattice_sup_sup( fun( X, bool ) ), T ), Z ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.34 , semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.34 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), T ), Y ), Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.34 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), T ), Z ) ) }.
% 1.96/2.34 { ! alpha32( X, Y, Z, T ), alpha3( X, Y, Z ) }.
% 1.96/2.34 { ! alpha32( X, Y, Z, T ), alpha20( X, Y, T ) }.
% 1.96/2.34 { ! alpha3( X, Y, Z ), ! alpha20( X, Y, T ), alpha32( X, Y, Z, T ) }.
% 1.96/2.34 { ! alpha32( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), U ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.34 , semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( X,
% 1.96/2.34 bool, Y, U ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, skol5( X, Y, U, W ) ) ), alpha32( X, Y, Z, T )
% 1.96/2.34 }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.34 member( X ), skol5( X, Y, Z, T ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ), alpha32( X, Y, Z, T
% 1.96/2.34 ) }.
% 1.96/2.34 { ! alpha20( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.34 fun( X, bool ), bool ), member( X ), T ), Z ) ), hBOOL( hAPP( X, bool, Y
% 1.96/2.34 , T ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.34 member( X ), skol6( X, T, Z ) ), Z ) ), alpha20( X, Y, Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, skol6( X, Y, Z ) ) ), alpha20( X, Y, Z ) }.
% 1.96/2.34 { ! alpha3( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.34 fun( X, bool ), bool ), member( X ), T ), Z ) ), hBOOL( hAPP( X, bool, Y
% 1.96/2.34 , T ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.34 member( X ), skol7( X, T, Z ) ), Z ) ), alpha3( X, Y, Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, skol7( X, Y, Z ) ) ), alpha3( X, Y, Z ) }.
% 1.96/2.34 { ! alpha33( X, Y, Z, T ), alpha4( X, Y, Z ), alpha21( X, Y, T ) }.
% 1.96/2.34 { ! alpha4( X, Y, Z ), alpha33( X, Y, Z, T ) }.
% 1.96/2.34 { ! alpha21( X, Y, T ), alpha33( X, Y, Z, T ) }.
% 1.96/2.34 { ! alpha33( X, Y, Z, T ), hBOOL( hAPP( X, bool, Y, skol8( X, Y, U, W ) ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! alpha33( X, Y, Z, T ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.96/2.34 ( fun( X, bool ), bool ), member( X ), skol8( X, Y, Z, T ) ), hAPP( fun(
% 1.96/2.34 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), U ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.34 X, bool ) ), Z ), T ) ) ), ! hBOOL( hAPP( X, bool, Y, U ) ), alpha33( X,
% 1.96/2.34 Y, Z, T ) }.
% 1.96/2.34 { ! alpha21( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.34 fun( X, bool ), bool ), member( X ), skol9( X, T, Z ) ), Z ) ) }.
% 1.96/2.34 { ! alpha21( X, Y, Z ), hBOOL( hAPP( X, bool, Y, skol9( X, Y, Z ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), T ), Z ) ), ! hBOOL( hAPP( X, bool, Y, T ) ), alpha21( X,
% 1.96/2.34 Y, Z ) }.
% 1.96/2.34 { ! alpha4( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.96/2.34 ( X, bool ), bool ), member( X ), skol10( X, T, Z ) ), Z ) ) }.
% 1.96/2.34 { ! alpha4( X, Y, Z ), hBOOL( hAPP( X, bool, Y, skol10( X, Y, Z ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), T ), Z ) ), ! hBOOL( hAPP( X, bool, Y, T ) ), alpha4( X, Y
% 1.96/2.34 , Z ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.96/2.34 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.34 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ), T
% 1.96/2.34 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.34 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T
% 1.96/2.34 ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.34 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X
% 1.96/2.34 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ), T
% 1.96/2.34 ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.34 , semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.34 , semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.96/2.34 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T )
% 1.96/2.34 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.34 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), T
% 1.96/2.34 ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.96/2.34 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.96/2.34 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.34 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.96/2.34 , Z ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.96/2.34 = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun(
% 1.96/2.34 X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ),
% 1.96/2.34 Y ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.96/2.34 = hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool
% 1.96/2.34 ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool
% 1.96/2.34 ), fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun(
% 1.96/2.34 X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ),
% 1.96/2.34 X ), fdisj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.34 fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X
% 1.96/2.34 , fun( X, bool ), bool ), member( X ) ), Y ) ) ), hAPP( fun( X, bool ),
% 1.96/2.34 fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X )
% 1.96/2.34 ), Z ) ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Y )
% 1.96/2.34 = ti( fun( X, bool ), Y ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, X ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), image( X, X ), combi( X ) ), Y ) = ti( fun( X,
% 1.96/2.34 bool ), Y ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.96/2.34 bool ), fun( Y, bool ) ), image( X, Y ), T ), hAPP( fun( Z, bool ), fun(
% 1.96/2.34 X, bool ), hAPP( fun( Z, X ), fun( fun( Z, bool ), fun( X, bool ) ),
% 1.96/2.34 image( Z, X ), U ), W ) ) = hAPP( fun( Z, bool ), fun( Y, bool ), hAPP(
% 1.96/2.34 fun( Z, Y ), fun( fun( Z, bool ), fun( Y, bool ) ), image( Z, Y ), hAPP(
% 1.96/2.34 fun( Z, X ), fun( Z, Y ), hAPP( fun( X, Y ), fun( fun( Z, X ), fun( Z, Y
% 1.96/2.34 ) ), combb( X, Y, Z ), T ), U ) ), W ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.34 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.96/2.34 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun
% 1.96/2.34 ( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc
% 1.96/2.34 ( X, fun( X, bool ), bool ), member( X ) ), Y ) ), hAPP( fun( X, bool ),
% 1.96/2.34 fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X )
% 1.96/2.34 ), Z ) ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X
% 1.96/2.34 , bool ), bool ), member( X ), T ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.34 X, bool ) ), Y ), Z ) ) ), hBOOL( hAPP( X, bool, hAPP( fun( X, bool ),
% 1.96/2.34 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.96/2.34 ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X,
% 1.96/2.34 bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool )
% 1.96/2.34 , fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Y )
% 1.96/2.34 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( fun( X, bool
% 1.96/2.34 ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X, fun( X,
% 1.96/2.34 bool ), bool ), member( X ) ), Z ) ), T ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool )
% 1.96/2.34 , fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool )
% 1.96/2.34 , fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X
% 1.96/2.34 , fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ),
% 1.96/2.34 X ), fdisj ), Y ) ), Z ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.34 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.34 ), collect( X ), Y ) ), hAPP( fun( X, bool ), fun( X, bool ), collect( X
% 1.96/2.34 ), Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X
% 1.96/2.34 ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ),
% 1.96/2.34 hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y, fun( fun( Y, bool ), bool ),
% 1.96/2.34 member( Y ), skol11( W, Y, V0, V1, U ) ), U ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X
% 1.96/2.34 ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), U ) ) ),
% 1.96/2.34 ti( X, Z ) = hAPP( Y, X, T, skol11( X, Y, Z, T, U ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), Y ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z
% 1.96/2.34 ), hAPP( option( com ), com, the( com ), hAPP( pname, option( com ),
% 1.96/2.34 body_1, T ) ) ), U ) ) ), hBOOL( hAPP( hoare_2118899576triple( X ), bool
% 1.96/2.34 , hAPP( nat, fun( hoare_2118899576triple( X ), bool ),
% 1.96/2.34 hoare_1942962616_valid( X ), hAPP( nat, nat, suc, Y ) ), hAPP( fun( X,
% 1.96/2.34 fun( state, bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X
% 1.96/2.34 , fun( state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun
% 1.96/2.34 ( state, bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), hAPP(
% 1.96/2.34 pname, com, body, T ) ), U ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), hAPP(
% 1.96/2.34 nat, nat, suc, Y ) ), hAPP( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun( state, bool ) )
% 1.96/2.34 , hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun
% 1.96/2.34 ( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) )
% 1.96/2.34 , hoare_759811442triple( X ), Z ), hAPP( pname, com, body, T ) ), U ) ) )
% 1.96/2.34 , hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), Y ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z
% 1.96/2.34 ), hAPP( option( com ), com, the( com ), hAPP( pname, option( com ),
% 1.96/2.34 body_1, T ) ) ), U ) ) ) }.
% 1.96/2.34 { Y = hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP
% 1.96/2.34 ( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ),
% 1.96/2.34 skol12( X, Y ) ), skol106( X, Y ) ), skol130( X, Y ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), semilattice_sup_sup( fun( hoare_2118899576triple( X ), bool ) )
% 1.96/2.34 , Y ), hAPP( fun( pname, bool ), fun( hoare_2118899576triple( X ), bool )
% 1.96/2.34 , hAPP( fun( pname, hoare_2118899576triple( X ) ), fun( fun( pname, bool
% 1.96/2.34 ), fun( hoare_2118899576triple( X ), bool ) ), image( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.96/2.34 ) ) ), fun( pname, hoare_2118899576triple( X ) ), hAPP( fun( pname, fun
% 1.96/2.34 ( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), fun( fun
% 1.96/2.34 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.96/2.34 ), hoare_2118899576triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), hAPP
% 1.96/2.34 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ) ),
% 1.96/2.34 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.96/2.34 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.96/2.34 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple(
% 1.96/2.34 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.96/2.34 ( state, bool ) ), hoare_2118899576triple( X ) ) ), pname ),
% 1.96/2.34 hoare_759811442triple( X ) ), Z ) ), body ) ), T ) ), U ) ) ), hAPP( fun
% 1.96/2.34 ( pname, bool ), fun( hoare_2118899576triple( X ), bool ), hAPP( fun(
% 1.96/2.34 pname, hoare_2118899576triple( X ) ), fun( fun( pname, bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), image( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ), hAPP( fun( pname, fun( X, fun( state, bool
% 1.96/2.34 ) ) ), fun( pname, hoare_2118899576triple( X ) ), hAPP( fun( pname, fun
% 1.96/2.34 ( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), fun( fun
% 1.96/2.34 ( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 hoare_2118899576triple( X ) ) ), combs( pname, fun( X, fun( state, bool )
% 1.96/2.34 ), hoare_2118899576triple( X ) ), hAPP( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ), hAPP
% 1.96/2.34 ( fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) ) ),
% 1.96/2.34 combs( pname, com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hAPP( fun( pname, fun( X, fun( state,
% 1.96/2.34 bool ) ) ), fun( pname, fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ) ), hAPP( fun( fun( X, fun( state, bool )
% 1.96/2.34 ), fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple(
% 1.96/2.34 X ) ) ) ), fun( fun( pname, fun( X, fun( state, bool ) ) ), fun( pname,
% 1.96/2.34 fun( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ) ) ) ), combb( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun
% 1.96/2.34 ( state, bool ) ), hoare_2118899576triple( X ) ) ), pname ),
% 1.96/2.34 hoare_759811442triple( X ) ), Z ) ), hAPP( fun( pname, option( com ) ),
% 1.96/2.34 fun( pname, com ), hAPP( fun( option( com ), com ), fun( fun( pname,
% 1.96/2.34 option( com ) ), fun( pname, com ) ), combb( option( com ), com, pname )
% 1.96/2.34 , the( com ) ), body_1 ) ) ), T ) ), U ) ) ), ! hBOOL( hAPP( fun( pname,
% 1.96/2.34 bool ), bool, hAPP( pname, fun( fun( pname, bool ), bool ), member( pname
% 1.96/2.34 ), W ), U ) ), hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ),
% 1.96/2.34 bool, hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.34 , Y ), hAPP( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hAPP( hoare_2118899576triple( X ),
% 1.96/2.34 fun( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), insert( hoare_2118899576triple( X
% 1.96/2.34 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ),
% 1.96/2.34 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ),
% 1.96/2.34 hAPP( pname, fun( X, fun( state, bool ) ), Z, W ) ), hAPP( pname, com,
% 1.96/2.34 body, W ) ), hAPP( pname, fun( X, fun( state, bool ) ), T, W ) ) ),
% 1.96/2.34 bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X
% 1.96/2.34 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol13
% 1.96/2.34 ( X, Z, V0, V1, V2 ) ), Z ) ), hAPP( fun( X, bool ), fun( T, bool ), hAPP
% 1.96/2.34 ( fun( X, T ), fun( fun( X, bool ), fun( T, bool ) ), image( X, T ), U )
% 1.96/2.34 , Y ) = hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun
% 1.96/2.34 ( X, bool ), fun( T, bool ) ), image( X, T ), W ), Z ) }.
% 1.96/2.34 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), ! hAPP( X, T, U,
% 1.96/2.34 skol13( X, Z, T, U, W ) ) = hAPP( X, T, W, skol13( X, Z, T, U, W ) ),
% 1.96/2.34 hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun( X,
% 1.96/2.34 bool ), fun( T, bool ) ), image( X, T ), U ), Y ) = hAPP( fun( X, bool )
% 1.96/2.34 , fun( T, bool ), hAPP( fun( X, T ), fun( fun( X, bool ), fun( T, bool )
% 1.96/2.34 ), image( X, T ), W ), Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), bool ), powp( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ),
% 1.96/2.34 bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), T ), Z ) ),
% 1.96/2.34 hBOOL( hAPP( X, bool, Y, T ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.34 member( X ), skol14( X, T, Z ) ), Z ) ), hBOOL( hAPP( fun( X, bool ),
% 1.96/2.34 bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), powp( X ), Y ),
% 1.96/2.34 Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, skol14( X, Y, Z ) ) ), hBOOL( hAPP( fun( X,
% 1.96/2.34 bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), powp( X
% 1.96/2.34 ), Y ), Z ) ) }.
% 1.96/2.34 { hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ),
% 1.96/2.34 zero_zero( nat ) ), hAPP( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun( state, bool ) )
% 1.96/2.34 , hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun
% 1.96/2.34 ( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) )
% 1.96/2.34 , hoare_759811442triple( X ), Y ), hAPP( pname, com, body, Z ) ), T ) ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! hAPP( pname, com, body, X ) = hAPP( pname, com, body, Y ), ti( pname, X
% 1.96/2.34 ) = ti( pname, Y ) }.
% 1.96/2.34 { ! ti( pname, X ) = ti( pname, Y ), hAPP( pname, com, body, X ) = hAPP(
% 1.96/2.34 pname, com, body, Y ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, hAPP( option( com ), com, the(
% 1.96/2.34 com ), hAPP( pname, option( com ), body_1, X ) ) ), Y ), Z ) ), hBOOL(
% 1.96/2.34 hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com, fun( state
% 1.96/2.34 , fun( state, bool ) ), evalc, hAPP( pname, com, body, X ) ), Y ), Z ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, hAPP( pname, com, body, X ) ), Y
% 1.96/2.34 ), Z ) ), hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ),
% 1.96/2.34 hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP( option( com ),
% 1.96/2.34 com, the( com ), hAPP( pname, option( com ), body_1, X ) ) ), Y ), Z ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.96/2.34 ), Y ), Y ) = ti( X, Y ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP(
% 1.96/2.34 hoare_2118899576triple( X ), fun( fun( hoare_2118899576triple( X ), bool
% 1.96/2.34 ), bool ), member( hoare_2118899576triple( X ) ), skol15( X, T, Z ) ), Z
% 1.96/2.34 ) ), ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP
% 1.96/2.34 ( hoare_2118899576triple( X ), fun( fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), bool ), member( hoare_2118899576triple( X ) ), U ), Z ) ), hBOOL
% 1.96/2.34 ( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), Y ), U
% 1.96/2.34 ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), hAPP(
% 1.96/2.34 nat, nat, suc, Y ) ), skol15( X, Y, Z ) ) ), ! hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( hoare_2118899576triple(
% 1.96/2.34 X ), fun( fun( hoare_2118899576triple( X ), bool ), bool ), member(
% 1.96/2.34 hoare_2118899576triple( X ) ), T ), Z ) ), hBOOL( hAPP(
% 1.96/2.34 hoare_2118899576triple( X ), bool, hAPP( nat, fun( hoare_2118899576triple
% 1.96/2.34 ( X ), bool ), hoare_1942962616_valid( X ), Y ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.96/2.34 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) ) ), ti( X, Y ) =
% 1.96/2.34 ti( X, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X,
% 1.96/2.34 bool ), bool ), member( X ), Y ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Z ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.34 , Y ), T ) ) ) }.
% 1.96/2.34 { ! ti( X, Z ) = ti( X, Y ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Z ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.34 , Y ), T ) ) ) }.
% 1.96/2.34 { ! bot_bot( fun( X, bool ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.34 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) }.
% 1.96/2.34 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ) ), insert( X ), Y ), Z ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, bot_bot( fun( X, bool ) ), Y ) ), hBOOL( hAPP(
% 1.96/2.34 fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ),
% 1.96/2.34 Y ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), bot_bot( fun( X, bool ) ) ) ), hBOOL( hAPP( X, bool,
% 1.96/2.34 bot_bot( fun( X, bool ) ), Y ) ) }.
% 1.96/2.34 { bot_bot( fun( X, bool ) ) = hAPP( fun( X, bool ), fun( X, bool ), collect
% 1.96/2.34 ( X ), hAPP( bool, fun( X, bool ), combk( bool, X ), fFalse ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.34 member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.96/2.34 ( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.34 member( X ), skol16( X, Y ) ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot(
% 1.96/2.34 fun( X, bool ) ) }.
% 1.96/2.34 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun
% 1.96/2.34 ( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Z )
% 1.96/2.34 , Y ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( X, fun( X, bool
% 1.96/2.34 ), fequal( X ), Y ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), bot_bot( fun( X
% 1.96/2.34 , bool ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), Y ) ), ! ti( fun( X, bool ), Y ) = bot_bot( fun( X,
% 1.96/2.34 bool ) ) }.
% 1.96/2.34 { ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hBOOL( hAPP( fun( X
% 1.96/2.34 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol17
% 1.96/2.34 ( X, Y ) ), Y ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( X, fun( X, bool
% 1.96/2.34 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.96/2.34 , bool ), fequal( X ) ), Y ) ) = hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), bot_bot
% 1.96/2.34 ( fun( X, bool ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.34 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.96/2.34 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.96/2.34 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.96/2.34 ) ), combb( bool, fun( bool, bool ), X ), fconj ), hAPP( X, fun( X, bool
% 1.96/2.34 ), fequal( X ), Z ) ) ), Y ) ) = hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot
% 1.96/2.34 ( fun( X, bool ) ) ) }.
% 1.96/2.34 { hBOOL( hAPP( X, bool, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.34 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.96/2.34 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.96/2.34 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.96/2.34 ) ), combb( bool, fun( bool, bool ), X ), fconj ), hAPP( X, fun( X, bool
% 1.96/2.34 ), fequal( X ), Z ) ) ), Y ) ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.34 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.96/2.34 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.96/2.34 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.96/2.34 ) ), combb( bool, fun( bool, bool ), X ), fconj ), hAPP( X, fun( X, bool
% 1.96/2.34 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.96/2.34 , bool ), fequal( X ) ), Z ) ) ), Y ) ) = hAPP( fun( X, bool ), fun( X,
% 1.96/2.34 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z )
% 1.96/2.34 , bot_bot( fun( X, bool ) ) ) }.
% 1.96/2.34 { hBOOL( hAPP( X, bool, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.34 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.96/2.34 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.96/2.34 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.96/2.34 ) ), combb( bool, fun( bool, bool ), X ), fconj ), hAPP( X, fun( X, bool
% 1.96/2.34 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.96/2.34 , bool ), fequal( X ) ), Z ) ) ), Y ) ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.34 { ! hAPP( X, Y, Z, skol18( X, Y, Z, T ) ) = hAPP( X, Y, T, skol18( X, Y, Z
% 1.96/2.34 , T ) ), ti( fun( X, Y ), Z ) = ti( fun( X, Y ), T ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, Z, Y ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Z, Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP
% 1.96/2.34 ( X, fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Y ) = ti( fun( X,
% 1.96/2.34 bool ), Y ) }.
% 1.96/2.34 { ! bot_bot( fun( X, bool ) ) = hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 collect( X ), Y ), ! hBOOL( hAPP( X, bool, Y, Z ) ) }.
% 1.96/2.34 { hBOOL( hAPP( X, bool, Y, skol19( X, Y ) ) ), bot_bot( fun( X, bool ) ) =
% 1.96/2.34 hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Y ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.34 , collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.34 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.96/2.34 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.96/2.34 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.96/2.34 ) ), combb( bool, fun( bool, bool ), X ), fdisj ), hAPP( X, fun( X, bool
% 1.96/2.34 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.96/2.34 , bool ), fequal( X ) ), Y ) ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.96/2.34 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Z ) ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 collect( X ), Z ) ) = hAPP( fun( X, bool ), fun( X, bool ), collect( X )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) )
% 1.96/2.34 , fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP(
% 1.96/2.34 fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool,
% 1.96/2.34 bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool
% 1.96/2.34 , fun( bool, bool ), X ), fimplies ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.34 ), hAPP( fun( bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb
% 1.96/2.34 ( bool, bool, X ), fNot ), hAPP( X, fun( X, bool ), hAPP( fun( X, fun( X
% 1.96/2.34 , bool ) ), fun( X, fun( X, bool ) ), combc( X, X, bool ), fequal( X ) )
% 1.96/2.34 , Y ) ) ) ), Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.96/2.34 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool
% 1.96/2.34 ) ) ) ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.34 { ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.34 , Z ), bot_bot( fun( X, bool ) ) ) ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.34 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) ) =
% 1.96/2.34 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Y ), Z ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.34 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) ) =
% 1.96/2.34 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Z ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.34 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.96/2.34 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) ) ), ti( X, Y ) =
% 1.96/2.34 ti( X, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X,
% 1.96/2.34 bool ), bool ), member( X ), Y ), T ) ) }.
% 1.96/2.34 { ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.34 , Z ), T ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.34 , Z ), T ) ) ) }.
% 1.96/2.34 { ! hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Y ) = bot_bot( fun
% 1.96/2.34 ( X, bool ) ), ! hBOOL( hAPP( X, bool, Y, Z ) ) }.
% 1.96/2.34 { hBOOL( hAPP( X, bool, Y, skol20( X, Y ) ) ), hAPP( fun( X, bool ), fun( X
% 1.96/2.34 , bool ), collect( X ), Y ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.34 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot
% 1.96/2.34 ( fun( X, bool ) ) ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 insert( X ), U ), bot_bot( fun( X, bool ) ) ) ), alpha5( X, Y, Z, T, U )
% 1.96/2.34 , alpha22( X, Y, Z, T, U ) }.
% 1.96/2.34 { ! alpha5( X, Y, Z, T, U ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.34 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = hAPP( fun( X, bool ),
% 1.96/2.34 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.34 ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool
% 1.96/2.34 ), fun( X, bool ) ), insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.34 { ! alpha22( X, Y, Z, T, U ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.34 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = hAPP( fun( X, bool ),
% 1.96/2.34 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.34 ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool
% 1.96/2.34 ), fun( X, bool ) ), insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.34 { ! alpha22( X, Y, Z, T, U ), ti( X, Y ) = ti( X, U ) }.
% 1.96/2.34 { ! alpha22( X, Y, Z, T, U ), ti( X, Z ) = ti( X, T ) }.
% 1.96/2.34 { ! ti( X, Y ) = ti( X, U ), ! ti( X, Z ) = ti( X, T ), alpha22( X, Y, Z, T
% 1.96/2.34 , U ) }.
% 1.96/2.34 { ! alpha5( X, Y, Z, T, U ), ti( X, Y ) = ti( X, T ) }.
% 1.96/2.34 { ! alpha5( X, Y, Z, T, U ), ti( X, Z ) = ti( X, U ) }.
% 1.96/2.34 { ! ti( X, Y ) = ti( X, T ), ! ti( X, Z ) = ti( X, U ), alpha5( X, Y, Z, T
% 1.96/2.34 , U ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ), T ) ), ti(
% 1.96/2.34 X, Y ) = ti( X, T ), hBOOL( hAPP( X, bool, Z, T ) ) }.
% 1.96/2.34 { ! ti( X, Y ) = ti( X, T ), hBOOL( hAPP( X, bool, hAPP( fun( X, bool ),
% 1.96/2.34 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.34 ), Y ), Z ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( X, bool, Z, T ) ), hBOOL( hAPP( X, bool, hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 insert( X ), Y ), Z ), T ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.34 member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.96/2.34 ( fun( X, bool ), bool ), member( X ), Y ), T ) ), ! hAPP( fun( X, bool )
% 1.96/2.34 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.34 ( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.96/2.34 ( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ), ti( fun( X, bool )
% 1.96/2.34 , Z ) = ti( fun( X, bool ), T ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.34 member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.96/2.34 ( fun( X, bool ), bool ), member( X ), Y ), T ) ), ! ti( fun( X, bool ),
% 1.96/2.34 Z ) = ti( fun( X, bool ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.34 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) = hAPP
% 1.96/2.34 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.34 bool ) ), insert( X ), Y ), T ) }.
% 1.96/2.34 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun
% 1.96/2.34 ( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Z )
% 1.96/2.34 , Y ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.34 , T ), Z ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.34 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), Z ) = ti( fun
% 1.96/2.34 ( X, bool ), Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.96/2.34 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool
% 1.96/2.34 ) ) ) ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.34 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.96/2.34 ( X, bool ) ), insert( X ), Y ), bot_bot( fun( X, bool ) ) ) = hAPP( fun
% 1.96/2.34 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.96/2.34 ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ), ti( X, Y ) = ti( X, Z
% 1.96/2.34 ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, X ), Y ), Z ) ), ! hBOOL( hAPP(
% 1.96/2.34 state, bool, hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun
% 1.96/2.34 ( state, bool ) ), evalc, X ), Y ), T ) ), T = Z }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.34 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ),
% 1.96/2.34 bot_bot( fun( X, bool ) ) ) ), Z ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.34 , collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.34 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.96/2.34 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.96/2.34 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.96/2.34 ) ), combb( bool, fun( bool, bool ), X ), fdisj ), hAPP( X, fun( X, bool
% 1.96/2.34 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.96/2.34 , bool ), fequal( X ) ), Y ) ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.96/2.34 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Z ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), Z ), T ) ) ), hBOOL(
% 1.96/2.34 hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), Z ), bot_bot( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), Z ), T ) ) ), hBOOL(
% 1.96/2.34 hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), Z ), bot_bot( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ) ) ) ), ! hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), T ) ), hBOOL( hAPP
% 1.96/2.34 ( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), Z ), T ) ) ) }.
% 1.96/2.34 { ! ti( fun( Y, bool ), T ) = bot_bot( fun( Y, bool ) ), hAPP( fun( Y, bool
% 1.96/2.34 ), fun( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool
% 1.96/2.34 ) ), image( Y, X ), hAPP( X, fun( Y, X ), combk( X, Y ), Z ) ), T ) =
% 1.96/2.34 bot_bot( fun( X, bool ) ) }.
% 1.96/2.34 { ti( fun( Y, bool ), T ) = bot_bot( fun( Y, bool ) ), hAPP( fun( Y, bool )
% 1.96/2.34 , fun( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool )
% 1.96/2.34 ), image( Y, X ), hAPP( X, fun( Y, X ), combk( X, Y ), Z ) ), T ) = hAPP
% 1.96/2.34 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.34 bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Z ), Y ) ), hAPP( fun( X, bool ), fun( T, bool ), hAPP(
% 1.96/2.34 fun( X, T ), fun( fun( X, bool ), fun( T, bool ) ), image( X, T ), hAPP(
% 1.96/2.34 T, fun( X, T ), combk( T, X ), U ) ), Y ) = hAPP( fun( T, bool ), fun( T
% 1.96/2.34 , bool ), hAPP( T, fun( fun( T, bool ), fun( T, bool ) ), insert( T ), U
% 1.96/2.34 ), bot_bot( fun( T, bool ) ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.96/2.34 bool ), fun( Y, bool ) ), image( X, Y ), Z ), hAPP( fun( X, bool ), fun(
% 1.96/2.34 X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T
% 1.96/2.34 ), U ) ) = hAPP( fun( Y, bool ), fun( Y, bool ), hAPP( Y, fun( fun( Y,
% 1.96/2.34 bool ), fun( Y, bool ) ), insert( Y ), hAPP( X, Y, Z, T ) ), hAPP( fun( X
% 1.96/2.34 , bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X, bool ), fun( Y
% 1.96/2.34 , bool ) ), image( X, Y ), Z ), U ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), hAPP( fun( T, bool ), fun( T, bool ), hAPP( T
% 1.96/2.34 , fun( fun( T, bool ), fun( T, bool ) ), insert( T ), hAPP( X, T, U, Y )
% 1.96/2.34 ), hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun( X
% 1.96/2.34 , bool ), fun( T, bool ) ), image( X, T ), U ), Z ) ) = hAPP( fun( X,
% 1.96/2.34 bool ), fun( T, bool ), hAPP( fun( X, T ), fun( fun( X, bool ), fun( T,
% 1.96/2.34 bool ) ), image( X, T ), U ), Z ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.96/2.34 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Z ), T ) ) = hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.34 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.34 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), T )
% 1.96/2.34 ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.96/2.34 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.34 bool ) ), insert( X ), Y ), Z ) ), T ) = hAPP( fun( X, bool ), fun( X,
% 1.96/2.34 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T
% 1.96/2.34 ) ) }.
% 1.96/2.34 { ! bot_bot( fun( X, bool ) ) = hAPP( fun( Y, bool ), fun( X, bool ), hAPP
% 1.96/2.34 ( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), Z )
% 1.96/2.34 , T ), ti( fun( Y, bool ), T ) = bot_bot( fun( Y, bool ) ) }.
% 1.96/2.34 { ! ti( fun( Y, bool ), T ) = bot_bot( fun( Y, bool ) ), bot_bot( fun( X,
% 1.96/2.34 bool ) ) = hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ), fun(
% 1.96/2.34 fun( Y, bool ), fun( X, bool ) ), image( Y, X ), Z ), T ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.96/2.34 bool ), fun( Y, bool ) ), image( X, Y ), Z ), bot_bot( fun( X, bool ) ) )
% 1.96/2.34 = bot_bot( fun( Y, bool ) ) }.
% 1.96/2.34 { ! hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.96/2.34 bool ), fun( Y, bool ) ), image( X, Y ), Z ), T ) = bot_bot( fun( Y, bool
% 1.96/2.34 ) ), ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.34 { ! ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool
% 1.96/2.34 ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X, bool ), fun( Y, bool
% 1.96/2.34 ) ), image( X, Y ), Z ), T ) = bot_bot( fun( Y, bool ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), bot_bot( fun( X, bool ) ) ) ), hBOOL( hAPP( X, bool,
% 1.96/2.34 Z, Y ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), bot_bot
% 1.96/2.34 ( fun( X, bool ) ) ), Y ) = ti( fun( X, bool ), Y ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.34 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.96/2.34 bot_bot( fun( X, bool ) ) ) = ti( fun( X, bool ), Y ) }.
% 1.96/2.34 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z
% 1.96/2.34 ) = bot_bot( fun( X, bool ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X
% 1.96/2.34 , bool ) ) }.
% 1.96/2.34 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.34 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z
% 1.96/2.34 ) = bot_bot( fun( X, bool ) ), ti( fun( X, bool ), Z ) = bot_bot( fun( X
% 1.96/2.34 , bool ) ) }.
% 1.96/2.34 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! ti( fun( X, bool
% 1.96/2.34 ), Z ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.96/2.34 ) }.
% 1.96/2.34 { hBOOL( W ), hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool,
% 1.96/2.34 hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.34 , Y ), hAPP( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hAPP( hoare_2118899576triple( X ),
% 1.96/2.34 fun( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), insert( hoare_2118899576triple( X
% 1.96/2.34 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ),
% 1.96/2.34 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ),
% 1.96/2.34 hAPP( bool, fun( X, fun( state, bool ) ), hAPP( fun( X, fun( bool, fun(
% 1.96/2.34 state, bool ) ) ), fun( bool, fun( X, fun( state, bool ) ) ), combc( X,
% 1.96/2.34 bool, fun( state, bool ) ), hAPP( fun( X, fun( state, fun( bool, bool ) )
% 1.96/2.34 ), fun( X, fun( bool, fun( state, bool ) ) ), hAPP( fun( fun( state, fun
% 1.96/2.34 ( bool, bool ) ), fun( bool, fun( state, bool ) ) ), fun( fun( X, fun(
% 1.96/2.34 state, fun( bool, bool ) ) ), fun( X, fun( bool, fun( state, bool ) ) ) )
% 1.96/2.34 , combb( fun( state, fun( bool, bool ) ), fun( bool, fun( state, bool ) )
% 1.96/2.34 , X ), combc( state, bool, bool ) ), hAPP( fun( X, fun( state, bool ) ),
% 1.96/2.34 fun( X, fun( state, fun( bool, bool ) ) ), hAPP( fun( fun( state, bool )
% 1.96/2.34 , fun( state, fun( bool, bool ) ) ), fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 fun( X, fun( state, fun( bool, bool ) ) ) ), combb( fun( state, bool ),
% 1.96/2.34 fun( state, fun( bool, bool ) ), X ), hAPP( fun( bool, fun( bool, bool )
% 1.96/2.34 ), fun( fun( state, bool ), fun( state, fun( bool, bool ) ) ), combb(
% 1.96/2.34 bool, fun( bool, bool ), state ), fconj ) ), Z ) ) ), W ) ), T ), U ) ),
% 1.96/2.34 bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), hBOOL(
% 1.96/2.34 hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), hAPP( bool,
% 1.96/2.34 fun( X, fun( state, bool ) ), hAPP( fun( X, fun( bool, fun( state, bool )
% 1.96/2.34 ) ), fun( bool, fun( X, fun( state, bool ) ) ), combc( X, bool, fun(
% 1.96/2.34 state, bool ) ), hAPP( fun( X, fun( state, fun( bool, bool ) ) ), fun( X
% 1.96/2.34 , fun( bool, fun( state, bool ) ) ), hAPP( fun( fun( state, fun( bool,
% 1.96/2.34 bool ) ), fun( bool, fun( state, bool ) ) ), fun( fun( X, fun( state, fun
% 1.96/2.34 ( bool, bool ) ) ), fun( X, fun( bool, fun( state, bool ) ) ) ), combb(
% 1.96/2.34 fun( state, fun( bool, bool ) ), fun( bool, fun( state, bool ) ), X ),
% 1.96/2.34 combc( state, bool, bool ) ), hAPP( fun( X, fun( state, bool ) ), fun( X
% 1.96/2.34 , fun( state, fun( bool, bool ) ) ), hAPP( fun( fun( state, bool ), fun(
% 1.96/2.34 state, fun( bool, bool ) ) ), fun( fun( X, fun( state, bool ) ), fun( X,
% 1.96/2.34 fun( state, fun( bool, bool ) ) ) ), combb( fun( state, bool ), fun(
% 1.96/2.34 state, fun( bool, bool ) ), X ), hAPP( fun( bool, fun( bool, bool ) ),
% 1.96/2.34 fun( fun( state, bool ), fun( state, fun( bool, bool ) ) ), combb( bool,
% 1.96/2.34 fun( bool, bool ), state ), fconj ) ), Z ) ) ), W ) ), T ), U ) ),
% 1.96/2.34 bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), bot_bot( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ) ) ) }.
% 1.96/2.34 { ! bounded_lattice_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), bot_bot( X ) ), Y ) = ti( X, Y ) }.
% 1.96/2.34 { ! bounded_lattice_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), bot_bot( X ) ) = ti( X, Y ) }.
% 1.96/2.34 { ! bounded_lattice_bot( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) = bot_bot( X ), ti( X, Y ) = bot_bot(
% 1.96/2.34 X ) }.
% 1.96/2.34 { ! bounded_lattice_bot( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.34 semilattice_sup_sup( X ), Y ), Z ) = bot_bot( X ), ti( X, Z ) = bot_bot(
% 1.96/2.34 X ) }.
% 1.96/2.34 { ! bounded_lattice_bot( X ), ! ti( X, Y ) = bot_bot( X ), ! ti( X, Z ) =
% 1.96/2.34 bot_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X )
% 1.96/2.34 , Y ), Z ) = bot_bot( X ) }.
% 1.96/2.34 { ! hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), hAPP(
% 1.96/2.34 nat, nat, suc, Y ) ), Z ) ), hBOOL( hAPP( hoare_2118899576triple( X ),
% 1.96/2.34 bool, hAPP( nat, fun( hoare_2118899576triple( X ), bool ),
% 1.96/2.34 hoare_1942962616_valid( X ), Y ), Z ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.34 X, bool ) ), insert( X ), Y ), Z ) = hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.34 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.34 semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.34 ), collect( X ), hAPP( X, fun( X, bool ), hAPP( fun( X, fun( X, bool ) )
% 1.96/2.34 , fun( X, fun( X, bool ) ), combc( X, X, bool ), fequal( X ) ), Y ) ) ),
% 1.96/2.34 Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), hAPP(
% 1.96/2.34 option( com ), com, the( com ), hAPP( pname, option( com ), body_1, T ) )
% 1.96/2.34 ), U ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ),
% 1.96/2.34 hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), hAPP(
% 1.96/2.34 pname, com, body, T ) ), U ) ), bot_bot( fun( hoare_2118899576triple( X )
% 1.96/2.34 , bool ) ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Y ), hAPP(
% 1.96/2.34 pname, com, body, Z ) ), T ) ), U ) ), hAPP( fun( hoare_2118899576triple
% 1.96/2.34 ( X ), bool ), fun( hoare_2118899576triple( X ), bool ), hAPP(
% 1.96/2.34 hoare_2118899576triple( X ), fun( fun( hoare_2118899576triple( X ), bool
% 1.96/2.34 ), fun( hoare_2118899576triple( X ), bool ) ), insert(
% 1.96/2.34 hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun( state, bool ) )
% 1.96/2.34 , hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state, bool ) ), fun
% 1.96/2.34 ( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ) )
% 1.96/2.34 , hoare_759811442triple( X ), Y ), hAPP( option( com ), com, the( com ),
% 1.96/2.34 hAPP( pname, option( com ), body_1, Z ) ) ), T ) ), bot_bot( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ) ) ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), U ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Y ), hAPP(
% 1.96/2.34 pname, com, body, Z ) ), T ) ), bot_bot( fun( hoare_2118899576triple( X )
% 1.96/2.34 , bool ) ) ) ) ) }.
% 1.96/2.34 { hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), U, skol21( X, Y, Z
% 1.96/2.34 , T, U ) ), skol107( X, Y, Z, T, U ) ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), U ), Z ), T
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), hAPP( fun(
% 1.96/2.34 state, bool ), fun( X, fun( state, bool ) ), combk( fun( state, bool ), X
% 1.96/2.34 ), hAPP( state, fun( state, bool ), hAPP( fun( state, fun( state, bool )
% 1.96/2.34 ), fun( state, fun( state, bool ) ), combc( state, state, bool ), fequal
% 1.96/2.34 ( state ) ), skol107( X, Y, Z, T, U ) ) ) ), Z ), hAPP( fun( state, bool
% 1.96/2.34 ), fun( X, fun( state, bool ) ), combk( fun( state, bool ), X ), hAPP( X
% 1.96/2.34 , fun( state, bool ), T, skol21( X, Y, Z, T, U ) ) ) ) ), bot_bot( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ) ) ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), U ), Z ), T
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), hBOOL(
% 1.96/2.34 hAPP( state, bool, hAPP( X, fun( state, bool ), W, skol22( X, Z, W ) ),
% 1.96/2.34 skol108( X, Z, W ) ) ), hBOOL( hAPP( fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), bool, hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.34 , Y ), hAPP( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hAPP( hoare_2118899576triple( X ),
% 1.96/2.34 fun( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), insert( hoare_2118899576triple( X
% 1.96/2.34 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ),
% 1.96/2.34 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ),
% 1.96/2.34 W ), T ), U ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) )
% 1.96/2.34 ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.96/2.34 ( hAPP( state, bool, hAPP( X, fun( state, bool ), Z, skol22( X, Z, W ) )
% 1.96/2.34 , skol108( X, Z, W ) ) ), hBOOL( hAPP( fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), bool, hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.34 , Y ), hAPP( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hAPP( hoare_2118899576triple( X ),
% 1.96/2.34 fun( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), insert( hoare_2118899576triple( X
% 1.96/2.34 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ),
% 1.96/2.34 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ),
% 1.96/2.34 W ), T ), U ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) )
% 1.96/2.34 ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), hBOOL(
% 1.96/2.34 hAPP( state, bool, hAPP( X, fun( state, bool ), U, skol23( X, U, W ) ),
% 1.96/2.34 skol109( X, U, W ) ) ), hBOOL( hAPP( fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), bool, hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.34 , Y ), hAPP( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hAPP( hoare_2118899576triple( X ),
% 1.96/2.34 fun( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), insert( hoare_2118899576triple( X
% 1.96/2.34 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ),
% 1.96/2.34 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ),
% 1.96/2.34 Z ), T ), W ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) )
% 1.96/2.34 ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.96/2.34 ( hAPP( state, bool, hAPP( X, fun( state, bool ), W, skol23( X, U, W ) )
% 1.96/2.34 , skol109( X, U, W ) ) ), hBOOL( hAPP( fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), bool, hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.34 , Y ), hAPP( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hAPP( hoare_2118899576triple( X ),
% 1.96/2.34 fun( fun( hoare_2118899576triple( X ), bool ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ), insert( hoare_2118899576triple( X
% 1.96/2.34 ) ), hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ),
% 1.96/2.34 hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ),
% 1.96/2.34 Z ), T ), W ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) )
% 1.96/2.34 ) }.
% 1.96/2.34 { hAPP( hoare_2118899576triple( X ), nat, hAPP( fun( X, nat ), fun(
% 1.96/2.34 hoare_2118899576triple( X ), nat ), hoare_2043812435e_size( X ), Y ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z
% 1.96/2.34 ), T ), U ) ) = zero_zero( nat ) }.
% 1.96/2.34 { hAPP( com, hoare_2118899576triple( state ), hoare_Mirabelle_MGT, X ) =
% 1.96/2.34 hAPP( fun( state, fun( state, bool ) ), hoare_2118899576triple( state ),
% 1.96/2.34 hAPP( com, fun( fun( state, fun( state, bool ) ), hoare_2118899576triple
% 1.96/2.34 ( state ) ), hAPP( fun( state, fun( state, bool ) ), fun( com, fun( fun(
% 1.96/2.34 state, fun( state, bool ) ), hoare_2118899576triple( state ) ) ),
% 1.96/2.34 hoare_759811442triple( state ), fequal( state ) ), X ), hAPP( com, fun(
% 1.96/2.34 state, fun( state, bool ) ), evalc, X ) ) }.
% 1.96/2.34 { hAPP( hoare_2118899576triple( X ), nat, size_size( hoare_2118899576triple
% 1.96/2.34 ( X ) ), hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X )
% 1.96/2.34 , hAPP( com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X
% 1.96/2.34 ) ), hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple(
% 1.96/2.34 X ), Y ), Z ), T ) ) = zero_zero( nat ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), hBOOL(
% 1.96/2.34 hAPP( state, bool, hAPP( X, fun( state, bool ), V0, skol24( X, Z, U, W,
% 1.96/2.34 V0 ) ), skol110( X, Z, U, W, V0 ) ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), V0 ), T ), W
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.96/2.34 ( hAPP( state, bool, hAPP( X, fun( state, bool ), Z, V1 ), skol110( X, Z
% 1.96/2.34 , U, W, V0 ) ) ), hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ),
% 1.96/2.34 U, V1 ), skol131( X, Z, U, W, V0 ) ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), V0 ), T ), W
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.96/2.34 ( hAPP( state, bool, hAPP( X, fun( state, bool ), W, skol24( X, Z, U, W,
% 1.96/2.34 V0 ) ), skol131( X, Z, U, W, V0 ) ) ), hBOOL( hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), V0 ), T ), W
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), X, the_elem( X ), hAPP( fun( X, bool ), fun( X,
% 1.96/2.34 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y )
% 1.96/2.34 , bot_bot( fun( X, bool ) ) ) ) = ti( X, Y ) }.
% 1.96/2.34 { ! hAPP( nat, nat, suc, X ) = zero_zero( nat ) }.
% 1.96/2.34 { bot_bot( nat ) = zero_zero( nat ) }.
% 1.96/2.34 { ! X = hAPP( nat, nat, suc, X ) }.
% 1.96/2.34 { ! hAPP( nat, nat, suc, X ) = X }.
% 1.96/2.34 { ! hAPP( nat, nat, suc, X ) = hAPP( nat, nat, suc, Y ), X = Y }.
% 1.96/2.34 { ! X = Y, hAPP( nat, nat, suc, X ) = hAPP( nat, nat, suc, Y ) }.
% 1.96/2.34 { ! hAPP( nat, nat, suc, X ) = hAPP( nat, nat, suc, Y ), X = Y }.
% 1.96/2.34 { ! zero_zero( nat ) = hAPP( nat, nat, suc, X ) }.
% 1.96/2.34 { ! zero_zero( nat ) = hAPP( nat, nat, suc, X ) }.
% 1.96/2.34 { ! hAPP( nat, nat, suc, X ) = zero_zero( nat ) }.
% 1.96/2.34 { ! hAPP( nat, nat, suc, X ) = zero_zero( nat ) }.
% 1.96/2.34 { ! zero_zero( nat ) = hAPP( nat, nat, suc, X ) }.
% 1.96/2.34 { X = zero_zero( nat ), X = hAPP( nat, nat, suc, skol25( X ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( nat, bool, X, zero_zero( nat ) ) ), hBOOL( hAPP( nat, bool
% 1.96/2.34 , X, skol26( X ) ) ), hBOOL( hAPP( nat, bool, X, Y ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( nat, bool, X, zero_zero( nat ) ) ), ! hBOOL( hAPP( nat,
% 1.96/2.34 bool, X, hAPP( nat, nat, suc, skol26( X ) ) ) ), hBOOL( hAPP( nat, bool,
% 1.96/2.34 X, Y ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( nat, bool, X, Y ) ), hBOOL( hAPP( nat, bool, X, hAPP( nat
% 1.96/2.34 , nat, suc, skol27( X ) ) ) ), hBOOL( hAPP( nat, bool, X, zero_zero( nat
% 1.96/2.34 ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( nat, bool, X, Y ) ), ! hBOOL( hAPP( nat, bool, X, skol27(
% 1.96/2.34 X ) ) ), hBOOL( hAPP( nat, bool, X, zero_zero( nat ) ) ) }.
% 1.96/2.34 { X = zero_zero( nat ), X = hAPP( nat, nat, suc, skol28( X ) ) }.
% 1.96/2.34 { ! bot( X ), hAPP( Y, X, bot_bot( fun( Y, X ) ), Z ) = bot_bot( X ) }.
% 1.96/2.34 { ! bot( X ), hAPP( Y, X, bot_bot( fun( Y, X ) ), Z ) = bot_bot( X ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( option( com ), com, the( com ), hAPP(
% 1.96/2.34 pname, option( com ), body_1, X ) ) ), Y ), Z ), T ) ), hBOOL( hAPP(
% 1.96/2.34 state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) )
% 1.96/2.34 , evaln, hAPP( pname, com, body, X ) ), Y ), hAPP( nat, nat, suc, Z ) ),
% 1.96/2.34 T ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), skip )
% 1.96/2.34 , Z ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), hAPP( fun(
% 1.96/2.34 state, bool ), fun( X, fun( state, bool ) ), hAPP( fun( X, fun( fun(
% 1.96/2.34 state, bool ), fun( state, bool ) ) ), fun( fun( state, bool ), fun( X,
% 1.96/2.34 fun( state, bool ) ) ), combc( X, fun( state, bool ), fun( state, bool )
% 1.96/2.34 ), hAPP( fun( X, fun( state, fun( bool, bool ) ) ), fun( X, fun( fun(
% 1.96/2.34 state, bool ), fun( state, bool ) ) ), hAPP( fun( fun( state, fun( bool,
% 1.96/2.34 bool ) ), fun( fun( state, bool ), fun( state, bool ) ) ), fun( fun( X,
% 1.96/2.34 fun( state, fun( bool, bool ) ) ), fun( X, fun( fun( state, bool ), fun(
% 1.96/2.34 state, bool ) ) ) ), combb( fun( state, fun( bool, bool ) ), fun( fun(
% 1.96/2.34 state, bool ), fun( state, bool ) ), X ), combs( state, bool, bool ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( X, fun( state, fun( bool, bool )
% 1.96/2.34 ) ), hAPP( fun( fun( state, bool ), fun( state, fun( bool, bool ) ) ),
% 1.96/2.34 fun( fun( X, fun( state, bool ) ), fun( X, fun( state, fun( bool, bool )
% 1.96/2.34 ) ) ), combb( fun( state, bool ), fun( state, fun( bool, bool ) ), X ),
% 1.96/2.34 hAPP( fun( bool, fun( bool, bool ) ), fun( fun( state, bool ), fun( state
% 1.96/2.34 , fun( bool, bool ) ) ), combb( bool, fun( bool, bool ), state ), fconj )
% 1.96/2.34 ), Z ) ) ), hAPP( fun( state, bool ), fun( state, bool ), hAPP( fun(
% 1.96/2.34 bool, bool ), fun( fun( state, bool ), fun( state, bool ) ), combb( bool
% 1.96/2.34 , bool, state ), fNot ), T ) ) ), hAPP( com, com, hAPP( fun( state, bool
% 1.96/2.34 ), fun( com, com ), while, T ), U ) ), Z ) ), bot_bot( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { hBOOL( hAPP( state, bool, X, Y ) ), hBOOL( hAPP( state, bool, hAPP( nat,
% 1.96/2.34 fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP(
% 1.96/2.34 com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, hAPP( com, com
% 1.96/2.34 , hAPP( fun( state, bool ), fun( com, com ), while, X ), Z ) ), Y ), T )
% 1.96/2.34 , Y ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.96/2.34 nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ),
% 1.96/2.34 hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z ), Y )
% 1.96/2.34 , T ), U ) ), ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ),
% 1.96/2.34 hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun(
% 1.96/2.34 nat, fun( state, bool ) ) ), evaln, hAPP( com, com, hAPP( fun( state,
% 1.96/2.34 bool ), fun( com, com ), while, X ), Z ) ), U ), T ), W ) ), hBOOL( hAPP
% 1.96/2.34 ( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun
% 1.96/2.34 ( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) )
% 1.96/2.34 ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ),
% 1.96/2.34 while, X ), Z ) ), Y ), T ), W ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.96/2.34 state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ),
% 1.96/2.34 evalc, Z ), Y ), T ) ), ! hBOOL( hAPP( state, bool, hAPP( state, fun(
% 1.96/2.34 state, bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP(
% 1.96/2.34 com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ), Z ) ), T
% 1.96/2.34 ), U ) ), hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ),
% 1.96/2.34 hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP
% 1.96/2.34 ( fun( state, bool ), fun( com, com ), while, X ), Z ) ), Y ), U ) ) }.
% 1.96/2.34 { hBOOL( hAPP( state, bool, X, Y ) ), hBOOL( hAPP( state, bool, hAPP( state
% 1.96/2.34 , fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc
% 1.96/2.34 , hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.96/2.34 Z ) ), Y ), Y ) ) }.
% 1.96/2.34 { hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun
% 1.96/2.34 ( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state
% 1.96/2.34 , bool ) ) ), evaln, skip ), X ), Y ), X ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, skip ), X ), Z ), Y ) ), Y = X }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, skip ), X ), Y ) ), Y = X }.
% 1.96/2.34 { hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com, fun
% 1.96/2.34 ( state, fun( state, bool ) ), evalc, skip ), X ), X ) ) }.
% 1.96/2.34 { ! skip = hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while
% 1.96/2.34 , X ), Y ) }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.96/2.34 Y ) = skip }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.96/2.34 Y ) = hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, Z
% 1.96/2.34 ), T ), X = Z }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.96/2.34 Y ) = hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, Z
% 1.96/2.34 ), T ), Y = T }.
% 1.96/2.34 { ! X = Z, ! Y = T, hAPP( com, com, hAPP( fun( state, bool ), fun( com, com
% 1.96/2.34 ), while, X ), Y ) = hAPP( com, com, hAPP( fun( state, bool ), fun( com
% 1.96/2.34 , com ), while, Z ), T ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, X ), Y ), Z ), T ) ), hBOOL( hAPP( state, bool
% 1.96/2.34 , hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool
% 1.96/2.34 ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, X )
% 1.96/2.34 , Y ), hAPP( nat, nat, suc, Z ) ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, X ), Y ), T ), Z ) ), hBOOL( hAPP( state, bool
% 1.96/2.34 , hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun( state,
% 1.96/2.34 bool ) ), evalc, X ), Y ), Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, X ), Y ), Z ) ), hBOOL( hAPP(
% 1.96/2.34 state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) )
% 1.96/2.34 , evaln, X ), Y ), skol29( X, Y, Z ) ), Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, X ), Y ), T ), Z ) ), hBOOL( hAPP( state, bool
% 1.96/2.34 , hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun( state,
% 1.96/2.34 bool ) ), evalc, X ), Y ), Z ) ) }.
% 1.96/2.34 { ! hAPP( pname, com, body, X ) = hAPP( com, com, hAPP( fun( state, bool )
% 1.96/2.34 , fun( com, com ), while, Y ), Z ) }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.96/2.34 Y ) = hAPP( pname, com, body, Z ) }.
% 1.96/2.34 { ! skip = hAPP( pname, com, body, X ) }.
% 1.96/2.34 { ! hAPP( pname, com, body, X ) = skip }.
% 1.96/2.34 { ! hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), Y ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z
% 1.96/2.34 ), T ), U ) ) ), ! hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool )
% 1.96/2.34 , Z, W ), V0 ) ), alpha6( X, Y, T, U, W, V0 ) }.
% 1.96/2.34 { hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), Z, skol30( X, Y, Z
% 1.96/2.34 , T, U ) ), skol111( X, Y, Z, T, U ) ) ), hBOOL( hAPP(
% 1.96/2.34 hoare_2118899576triple( X ), bool, hAPP( nat, fun( hoare_2118899576triple
% 1.96/2.34 ( X ), bool ), hoare_1942962616_valid( X ), Y ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ) ) }.
% 1.96/2.34 { ! alpha6( X, Y, T, U, skol30( X, Y, Z, T, U ), skol111( X, Y, Z, T, U ) )
% 1.96/2.34 , hBOOL( hAPP( hoare_2118899576triple( X ), bool, hAPP( nat, fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), hoare_1942962616_valid( X ), Y ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ), hAPP(
% 1.96/2.34 com, fun( fun( X, fun( state, bool ) ), hoare_2118899576triple( X ) ),
% 1.96/2.34 hAPP( fun( X, fun( state, bool ) ), fun( com, fun( fun( X, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z
% 1.96/2.34 ), T ), U ) ) ) }.
% 1.96/2.34 { ! alpha6( X, Y, Z, T, U, W ), ! hBOOL( hAPP( state, bool, hAPP( nat, fun
% 1.96/2.34 ( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com,
% 1.96/2.34 fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z ), W ), Y ), V0 )
% 1.96/2.34 ), hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), T, U ), V0 ) )
% 1.96/2.34 }.
% 1.96/2.34 { hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun
% 1.96/2.34 ( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state
% 1.96/2.34 , bool ) ) ), evaln, Z ), W ), Y ), skol31( V0, Y, Z, V1, V2, W ) ) ),
% 1.96/2.34 alpha6( X, Y, Z, T, U, W ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( X, fun( state, bool ), T, U ), skol31(
% 1.96/2.34 X, Y, Z, T, U, W ) ) ), alpha6( X, Y, Z, T, U, W ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( pname, com, body, X ) ), Y ), Z ), T ) )
% 1.96/2.34 , Z = hAPP( nat, nat, suc, skol32( U, W, Z, V0 ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( pname, com, body, X ) ), Y ), Z ), T ) )
% 1.96/2.34 , hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( option( com ), com, the( com ), hAPP(
% 1.96/2.34 pname, option( com ), body_1, X ) ) ), Y ), skol32( X, Y, Z, T ) ), T ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( fun( state
% 1.96/2.34 , bool ), fun( com, com ), while, X ), Y ) ), Z ), T ) ), alpha34( X, Z,
% 1.96/2.34 T ), hBOOL( hAPP( state, bool, X, Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( fun( state
% 1.96/2.34 , bool ), fun( com, com ), while, X ), Y ) ), Z ), T ) ), alpha34( X, Z,
% 1.96/2.34 T ), hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com
% 1.96/2.34 , fun( state, fun( state, bool ) ), evalc, Y ), Z ), skol33( U, Y, Z, W )
% 1.96/2.34 ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( fun( state
% 1.96/2.34 , bool ), fun( com, com ), while, X ), Y ) ), Z ), T ) ), alpha34( X, Z,
% 1.96/2.34 T ), hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com
% 1.96/2.34 , fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( fun(
% 1.96/2.34 state, bool ), fun( com, com ), while, X ), Y ) ), skol33( X, Y, Z, T ) )
% 1.96/2.34 , T ) ) }.
% 1.96/2.34 { ! alpha34( X, Y, Z ), Z = Y }.
% 1.96/2.34 { ! alpha34( X, Y, Z ), ! hBOOL( hAPP( state, bool, X, Y ) ) }.
% 1.96/2.34 { ! Z = Y, hBOOL( hAPP( state, bool, X, Y ) ), alpha34( X, Y, Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun(
% 1.96/2.34 com, com ), while, X ), Y ) ), Z ), T ), U ) ), alpha35( X, Z, U ), hBOOL
% 1.96/2.34 ( hAPP( state, bool, X, Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun(
% 1.96/2.34 com, com ), while, X ), Y ) ), Z ), T ), U ) ), alpha35( X, Z, U ), hBOOL
% 1.96/2.34 ( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat
% 1.96/2.34 , fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool
% 1.96/2.34 ) ) ), evaln, Y ), Z ), T ), skol34( W, Y, Z, T, V0 ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun(
% 1.96/2.34 com, com ), while, X ), Y ) ), Z ), T ), U ) ), alpha35( X, Z, U ), hBOOL
% 1.96/2.34 ( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat
% 1.96/2.34 , fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool
% 1.96/2.34 ) ) ), evaln, hAPP( com, com, hAPP( fun( state, bool ), fun( com, com )
% 1.96/2.34 , while, X ), Y ) ), skol34( X, Y, Z, T, U ) ), T ), U ) ) }.
% 1.96/2.34 { ! alpha35( X, Y, Z ), Z = Y }.
% 1.96/2.34 { ! alpha35( X, Y, Z ), ! hBOOL( hAPP( state, bool, X, Y ) ) }.
% 1.96/2.34 { ! Z = Y, hBOOL( hAPP( state, bool, X, Y ) ), alpha35( X, Y, Z ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, X ), Y ), Z ) ), hBOOL( hAPP(
% 1.96/2.34 state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) )
% 1.96/2.34 , evaln, X ), Y ), skol35( X, Y, Z ) ), Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.34 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.34 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), T ), U
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), ! hBOOL
% 1.96/2.34 ( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), U ), W ), V0
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( X ), bool ) ) ) ) ), hBOOL(
% 1.96/2.34 hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( X ), Y ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( X ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( X ), bool ), fun( hoare_2118899576triple( X ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( X ), hAPP( com, fun( fun( X, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( X ) ), hAPP( fun( X, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( X, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( X ) ) ), hoare_759811442triple( X ), Z ), hAPP(
% 1.96/2.34 com, com, hAPP( com, fun( com, com ), semi, T ), W ) ), V0 ) ), bot_bot(
% 1.96/2.34 fun( hoare_2118899576triple( X ), bool ) ) ) ) ) }.
% 1.96/2.34 { hAPP( fun( X, bool ), X, the_elem( X ), Y ) = hAPP( fun( X, bool ), X,
% 1.96/2.34 the_1( X ), hAPP( fun( X, fun( X, bool ) ), fun( X, bool ), hAPP( fun(
% 1.96/2.34 fun( X, bool ), bool ), fun( fun( X, fun( X, bool ) ), fun( X, bool ) ),
% 1.96/2.34 combb( fun( X, bool ), bool, X ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.96/2.34 ), bool ), fequal( fun( X, bool ) ), Y ) ), hAPP( fun( X, bool ), fun( X
% 1.96/2.34 , fun( X, bool ) ), hAPP( fun( X, fun( fun( X, bool ), fun( X, bool ) ) )
% 1.96/2.34 , fun( fun( X, bool ), fun( X, fun( X, bool ) ) ), combc( X, fun( X, bool
% 1.96/2.34 ), fun( X, bool ) ), insert( X ) ), bot_bot( fun( X, bool ) ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.34 hAPP( fun( hoare_2118899576triple( Z ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), fun( fun( hoare_2118899576triple( Z
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( Z ), W ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), fun( hoare_2118899576triple( Z ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( Z ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), fun( hoare_2118899576triple( Z ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( Z ) ), hAPP( fun( Z, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( Z ), hAPP( com, fun( fun( Z, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( Z ) ), hAPP( fun( Z, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ), hoare_759811442triple( Z ), hAPP( X, fun
% 1.96/2.34 ( Z, fun( state, bool ) ), V0, skol36( X, Z, V3, V4, W, V0, V1, V2 ) ) )
% 1.96/2.34 , hAPP( X, com, V1, skol36( X, Z, V3, V4, W, V0, V1, V2 ) ) ), hAPP( X,
% 1.96/2.34 fun( Z, fun( state, bool ) ), V2, skol36( X, Z, V3, V4, W, V0, V1, V2 ) )
% 1.96/2.34 ) ), bot_bot( fun( hoare_2118899576triple( Z ), bool ) ) ) ) ), ! hBOOL
% 1.96/2.34 ( hAPP( fun( hoare_2118899576triple( Z ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), fun( fun( hoare_2118899576triple( Z
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( Z ), W ), hAPP( fun( X, bool
% 1.96/2.34 ), fun( hoare_2118899576triple( Z ), bool ), hAPP( fun( X,
% 1.96/2.34 hoare_2118899576triple( Z ) ), fun( fun( X, bool ), fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ) ), image( X, hoare_2118899576triple(
% 1.96/2.34 Z ) ), hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X,
% 1.96/2.34 hoare_2118899576triple( Z ) ), hAPP( fun( X, fun( fun( Z, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( Z ) ) ), fun( fun( X, fun( Z, fun(
% 1.96/2.34 state, bool ) ) ), fun( X, hoare_2118899576triple( Z ) ) ), combs( X, fun
% 1.96/2.34 ( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ), hAPP( fun( X,
% 1.96/2.34 com ), fun( X, fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple
% 1.96/2.34 ( Z ) ) ), hAPP( fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ) ), fun( fun( X, com ), fun( X, fun( fun(
% 1.96/2.34 Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ) ), combs( X, com
% 1.96/2.34 , fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ),
% 1.96/2.34 hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X, fun( com, fun( fun
% 1.96/2.34 ( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ) ), hAPP( fun(
% 1.96/2.34 fun( Z, fun( state, bool ) ), fun( com, fun( fun( Z, fun( state, bool ) )
% 1.96/2.34 , hoare_2118899576triple( Z ) ) ) ), fun( fun( X, fun( Z, fun( state,
% 1.96/2.34 bool ) ) ), fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ) ) ), combb( fun( Z, fun( state, bool ) )
% 1.96/2.34 , fun( com, fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple( Z
% 1.96/2.34 ) ) ), X ), hoare_759811442triple( Z ) ), V0 ) ), V1 ) ), V2 ) ), Y ) )
% 1.96/2.34 ), hBOOL( hAPP( fun( hoare_2118899576triple( Z ), bool ), bool, hAPP(
% 1.96/2.34 fun( hoare_2118899576triple( Z ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), bool ), hoare_1301688828derivs( Z )
% 1.96/2.34 , W ), hAPP( fun( X, bool ), fun( hoare_2118899576triple( Z ), bool ),
% 1.96/2.34 hAPP( fun( X, hoare_2118899576triple( Z ) ), fun( fun( X, bool ), fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ) ), image( X, hoare_2118899576triple(
% 1.96/2.34 Z ) ), hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X,
% 1.96/2.34 hoare_2118899576triple( Z ) ), hAPP( fun( X, fun( fun( Z, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( Z ) ) ), fun( fun( X, fun( Z, fun(
% 1.96/2.34 state, bool ) ) ), fun( X, hoare_2118899576triple( Z ) ) ), combs( X, fun
% 1.96/2.34 ( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ), hAPP( fun( X,
% 1.96/2.34 com ), fun( X, fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple
% 1.96/2.34 ( Z ) ) ), hAPP( fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ) ), fun( fun( X, com ), fun( X, fun( fun(
% 1.96/2.34 Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ) ), combs( X, com
% 1.96/2.34 , fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ),
% 1.96/2.34 hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X, fun( com, fun( fun
% 1.96/2.34 ( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ) ), hAPP( fun(
% 1.96/2.34 fun( Z, fun( state, bool ) ), fun( com, fun( fun( Z, fun( state, bool ) )
% 1.96/2.34 , hoare_2118899576triple( Z ) ) ) ), fun( fun( X, fun( Z, fun( state,
% 1.96/2.34 bool ) ) ), fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ) ) ), combb( fun( Z, fun( state, bool ) )
% 1.96/2.34 , fun( com, fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple( Z
% 1.96/2.34 ) ) ), X ), hoare_759811442triple( Z ) ), T ) ), V1 ) ), U ) ), Y ) ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.34 ( hAPP( fun( hoare_2118899576triple( Z ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), fun( fun( hoare_2118899576triple( Z
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( Z ), W ), hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), fun( hoare_2118899576triple( Z ),
% 1.96/2.34 bool ), hAPP( hoare_2118899576triple( Z ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), fun( hoare_2118899576triple( Z ),
% 1.96/2.34 bool ) ), insert( hoare_2118899576triple( Z ) ), hAPP( fun( Z, fun( state
% 1.96/2.34 , bool ) ), hoare_2118899576triple( Z ), hAPP( com, fun( fun( Z, fun(
% 1.96/2.34 state, bool ) ), hoare_2118899576triple( Z ) ), hAPP( fun( Z, fun( state
% 1.96/2.34 , bool ) ), fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ), hoare_759811442triple( Z ), hAPP( X, fun
% 1.96/2.34 ( Z, fun( state, bool ) ), T, skol36( X, Z, T, U, W, V0, V1, V2 ) ) ),
% 1.96/2.34 hAPP( X, com, V1, skol36( X, Z, T, U, W, V0, V1, V2 ) ) ), hAPP( X, fun(
% 1.96/2.34 Z, fun( state, bool ) ), U, skol36( X, Z, T, U, W, V0, V1, V2 ) ) ) ),
% 1.96/2.34 bot_bot( fun( hoare_2118899576triple( Z ), bool ) ) ) ) ), ! hBOOL( hAPP
% 1.96/2.34 ( fun( hoare_2118899576triple( Z ), bool ), bool, hAPP( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), fun( fun( hoare_2118899576triple( Z
% 1.96/2.34 ), bool ), bool ), hoare_1301688828derivs( Z ), W ), hAPP( fun( X, bool
% 1.96/2.34 ), fun( hoare_2118899576triple( Z ), bool ), hAPP( fun( X,
% 1.96/2.34 hoare_2118899576triple( Z ) ), fun( fun( X, bool ), fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ) ), image( X, hoare_2118899576triple(
% 1.96/2.34 Z ) ), hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X,
% 1.96/2.34 hoare_2118899576triple( Z ) ), hAPP( fun( X, fun( fun( Z, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( Z ) ) ), fun( fun( X, fun( Z, fun(
% 1.96/2.34 state, bool ) ) ), fun( X, hoare_2118899576triple( Z ) ) ), combs( X, fun
% 1.96/2.34 ( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ), hAPP( fun( X,
% 1.96/2.34 com ), fun( X, fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple
% 1.96/2.34 ( Z ) ) ), hAPP( fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ) ), fun( fun( X, com ), fun( X, fun( fun(
% 1.96/2.34 Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ) ), combs( X, com
% 1.96/2.34 , fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ),
% 1.96/2.34 hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X, fun( com, fun( fun
% 1.96/2.34 ( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ) ), hAPP( fun(
% 1.96/2.34 fun( Z, fun( state, bool ) ), fun( com, fun( fun( Z, fun( state, bool ) )
% 1.96/2.34 , hoare_2118899576triple( Z ) ) ) ), fun( fun( X, fun( Z, fun( state,
% 1.96/2.34 bool ) ) ), fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ) ) ), combb( fun( Z, fun( state, bool ) )
% 1.96/2.34 , fun( com, fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple( Z
% 1.96/2.34 ) ) ), X ), hoare_759811442triple( Z ) ), V0 ) ), V1 ) ), V2 ) ), Y ) )
% 1.96/2.34 ), hBOOL( hAPP( fun( hoare_2118899576triple( Z ), bool ), bool, hAPP(
% 1.96/2.34 fun( hoare_2118899576triple( Z ), bool ), fun( fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ), bool ), hoare_1301688828derivs( Z )
% 1.96/2.34 , W ), hAPP( fun( X, bool ), fun( hoare_2118899576triple( Z ), bool ),
% 1.96/2.34 hAPP( fun( X, hoare_2118899576triple( Z ) ), fun( fun( X, bool ), fun(
% 1.96/2.34 hoare_2118899576triple( Z ), bool ) ), image( X, hoare_2118899576triple(
% 1.96/2.34 Z ) ), hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X,
% 1.96/2.34 hoare_2118899576triple( Z ) ), hAPP( fun( X, fun( fun( Z, fun( state,
% 1.96/2.34 bool ) ), hoare_2118899576triple( Z ) ) ), fun( fun( X, fun( Z, fun(
% 1.96/2.34 state, bool ) ) ), fun( X, hoare_2118899576triple( Z ) ) ), combs( X, fun
% 1.96/2.34 ( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ), hAPP( fun( X,
% 1.96/2.34 com ), fun( X, fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple
% 1.96/2.34 ( Z ) ) ), hAPP( fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ) ), fun( fun( X, com ), fun( X, fun( fun(
% 1.96/2.34 Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ) ), combs( X, com
% 1.96/2.34 , fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ),
% 1.96/2.34 hAPP( fun( X, fun( Z, fun( state, bool ) ) ), fun( X, fun( com, fun( fun
% 1.96/2.34 ( Z, fun( state, bool ) ), hoare_2118899576triple( Z ) ) ) ), hAPP( fun(
% 1.96/2.34 fun( Z, fun( state, bool ) ), fun( com, fun( fun( Z, fun( state, bool ) )
% 1.96/2.34 , hoare_2118899576triple( Z ) ) ) ), fun( fun( X, fun( Z, fun( state,
% 1.96/2.34 bool ) ) ), fun( X, fun( com, fun( fun( Z, fun( state, bool ) ),
% 1.96/2.34 hoare_2118899576triple( Z ) ) ) ) ), combb( fun( Z, fun( state, bool ) )
% 1.96/2.34 , fun( com, fun( fun( Z, fun( state, bool ) ), hoare_2118899576triple( Z
% 1.96/2.34 ) ) ), X ), hoare_759811442triple( Z ) ), T ) ), V1 ) ), U ) ), Y ) ) )
% 1.96/2.34 }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, X ), Y ), T ), Z ) ), ! hBOOL( hAPP( state,
% 1.96/2.34 bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state,
% 1.96/2.34 bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln
% 1.96/2.34 , U ), W ), V1 ), V0 ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state
% 1.96/2.34 , bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun(
% 1.96/2.34 state, fun( nat, fun( state, bool ) ) ), evaln, U ), W ), skol37( V2, V3
% 1.96/2.34 , V4, U, W, V0 ) ), V0 ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, X ), Y ), T ), Z ) ), ! hBOOL( hAPP( state,
% 1.96/2.34 bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state,
% 1.96/2.34 bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln
% 1.96/2.34 , U ), W ), V1 ), V0 ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state
% 1.96/2.34 , bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun(
% 1.96/2.34 state, fun( nat, fun( state, bool ) ) ), evaln, X ), Y ), skol37( X, Y, Z
% 1.96/2.34 , U, W, V0 ) ), Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.34 fun( fun( X, bool ), bool ), member( X ), Y ), skol38( X, Y, T ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.34 , member( X ), Y ), Z ) ), ti( fun( X, bool ), Z ) = hAPP( fun( X, bool )
% 1.96/2.34 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.34 ( X ), Y ), skol38( X, Y, Z ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, X ), Y ), Z ), T ) ), ! hBOOL( hAPP( state,
% 1.96/2.34 bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state,
% 1.96/2.34 bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln
% 1.96/2.34 , U ), T ), Z ), W ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state,
% 1.96/2.34 bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun(
% 1.96/2.34 state, fun( nat, fun( state, bool ) ) ), evaln, hAPP( com, com, hAPP( com
% 1.96/2.34 , fun( com, com ), semi, X ), U ) ), Y ), Z ), W ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, X ), Y ), Z ) ), ! hBOOL( hAPP(
% 1.96/2.34 state, bool, hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun
% 1.96/2.34 ( state, bool ) ), evalc, T ), Z ), U ) ), hBOOL( hAPP( state, bool, hAPP
% 1.96/2.34 ( state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) )
% 1.96/2.34 , evalc, hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), T ) ), Y
% 1.96/2.34 ), U ) ) }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP( com
% 1.96/2.34 , com, hAPP( com, fun( com, com ), semi, Z ), T ), X = Z }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP( com
% 1.96/2.34 , com, hAPP( com, fun( com, com ), semi, Z ), T ), Y = T }.
% 1.96/2.34 { ! X = Z, ! Y = T, hAPP( com, com, hAPP( com, fun( com, com ), semi, X ),
% 1.96/2.34 Y ) = hAPP( com, com, hAPP( com, fun( com, com ), semi, Z ), T ) }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP(
% 1.96/2.34 pname, com, body, Z ) }.
% 1.96/2.34 { ! hAPP( pname, com, body, X ) = hAPP( com, com, hAPP( com, fun( com, com
% 1.96/2.34 ), semi, Y ), Z ) }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.96/2.34 Y ) = hAPP( com, com, hAPP( com, fun( com, com ), semi, Z ), T ) }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP( com
% 1.96/2.34 , com, hAPP( fun( state, bool ), fun( com, com ), while, Z ), T ) }.
% 1.96/2.34 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = skip }.
% 1.96/2.34 { ! skip = hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( com, fun(
% 1.96/2.34 com, com ), semi, X ), Y ) ), Z ), T ) ), hBOOL( hAPP( state, bool, hAPP
% 1.96/2.34 ( state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) )
% 1.96/2.34 , evalc, Y ), skol39( U, Y, W, T ) ), T ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.34 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( com, fun(
% 1.96/2.34 com, com ), semi, X ), Y ) ), Z ), T ) ), hBOOL( hAPP( state, bool, hAPP
% 1.96/2.34 ( state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) )
% 1.96/2.34 , evalc, X ), Z ), skol39( X, Y, Z, T ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.96/2.34 semi, X ), Y ) ), Z ), T ), U ) ), hBOOL( hAPP( state, bool, hAPP( nat,
% 1.96/2.34 fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP(
% 1.96/2.34 com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Y ), skol40( W
% 1.96/2.34 , Y, V0, T, U ) ), T ), U ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.34 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.34 state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.96/2.34 semi, X ), Y ) ), Z ), T ), U ) ), hBOOL( hAPP( state, bool, hAPP( nat,
% 1.96/2.34 fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP(
% 1.96/2.34 com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, X ), Z ), T ),
% 1.96/2.34 skol40( X, Y, Z, T, U ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.34 hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), hAPP( fun( X, bool ),
% 1.96/2.34 fun( Z, bool ), hAPP( fun( X, Z ), fun( fun( X, bool ), fun( Z, bool ) )
% 1.96/2.34 , image( X, Z ), T ), Y ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.34 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.96/2.34 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.34 ), Z ), Y ) ) ) }.
% 1.96/2.34 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), bot_bot( fun( X
% 1.96/2.34 , bool ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), collect( X ), Z ) ) ), hBOOL( hAPP( fun( X, bool
% 1.96/2.34 ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.34 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.34 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.96/2.34 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.96/2.34 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.96/2.34 ) ), combb( bool, fun( bool, bool ), X ), fconj ), Z ) ), Y ) ) ) ) }.
% 1.96/2.34 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.34 bool ), fun( X, bool ), collect( X ), Y ) ) ), hBOOL( hAPP( fun( X, bool
% 1.96/2.34 ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.35 bool, bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool,
% 1.96/2.35 bool ), hAPP( fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun(
% 1.96/2.35 bool, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool )
% 1.96/2.35 ) ), combb( bool, fun( bool, bool ), X ), fconj ), Z ) ), Y ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.96/2.35 { ! finite_finite( X ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1
% 1.96/2.35 ( X ), Y ) ) }.
% 1.96/2.35 { ! finite_finite( X ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1
% 1.96/2.35 ( X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, bool
% 1.96/2.35 ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X, fun( bool,
% 1.96/2.35 bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ), X ), fdisj )
% 1.96/2.35 , Y ) ), Z ) ) ) ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Y ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool ), fun( X, bool
% 1.96/2.35 ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X, fun( bool,
% 1.96/2.35 bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ), X ), fdisj )
% 1.96/2.35 , Y ) ), Z ) ) ) ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Z ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), collect( X ), Y ) ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , collect( X ), Z ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.35 finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool ), collect( X )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) )
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool,
% 1.96/2.35 bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool
% 1.96/2.35 , fun( bool, bool ), X ), fdisj ), Y ) ), Z ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 insert( X ), Y ), Z ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.35 finite_finite_1( X ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.35 ), Y ), Z ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, Z, bot_bot( fun( X, bool ) ) ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), skol41( X, T ) ) ),
% 1.96/2.35 hBOOL( hAPP( fun( X, bool ), bool, Z, Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, Z, bot_bot( fun( X, bool ) ) ) ), alpha36(
% 1.96/2.35 X, Z, skol41( X, Z ) ), hBOOL( hAPP( fun( X, bool ), bool, Z, Y ) ) }.
% 1.96/2.35 { ! alpha36( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.35 fun( X, bool ), bool ), member( X ), skol42( X, T, Z ) ), Z ) ) }.
% 1.96/2.35 { ! alpha36( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ) }.
% 1.96/2.35 { ! alpha36( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), skol42( X, Y, Z ) ), Z ) ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), T ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ),
% 1.96/2.35 hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), Z )
% 1.96/2.35 ) ), alpha36( X, Y, Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.96/2.35 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), alpha7( X, Y ) }.
% 1.96/2.35 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hBOOL( hAPP( fun(
% 1.96/2.35 X, bool ), bool, finite_finite_1( X ), Y ) ) }.
% 1.96/2.35 { ! alpha7( X, Y ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ) }.
% 1.96/2.35 { ! alpha7( X, Y ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , skol43( X, Z ) ) ) }.
% 1.96/2.35 { ! alpha7( X, Y ), ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ),
% 1.96/2.35 skol112( X, Y ) ), skol43( X, Y ) ) }.
% 1.96/2.35 { ! ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), Z ), ! hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), alpha7( X, Y ) }
% 1.96/2.35 .
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL(
% 1.96/2.35 hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( Z, bool ), hAPP( fun( X, Z ), fun( fun( X, bool ), fun( Z, bool ) )
% 1.96/2.35 , image( X, Z ), T ), Y ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X
% 1.96/2.35 , fun( fun( X, bool ), bool ), member( X ), skol44( X, Y, U, W ) ), Y ) )
% 1.96/2.35 }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL(
% 1.96/2.35 hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( Z, bool ), hAPP( fun( X, Z ), fun( fun( X, bool ), fun( Z, bool ) )
% 1.96/2.35 , image( X, Z ), T ), Y ) ) ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.35 finite_finite_1( X ), hAPP( fun( X, bool ), fun( X, bool ), collect( X )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) )
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool,
% 1.96/2.35 bool ) ), fun( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool
% 1.96/2.35 , fun( bool, bool ), X ), fconj ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Y ) ) ),
% 1.96/2.35 hAPP( Z, fun( X, bool ), hAPP( fun( X, fun( Z, bool ) ), fun( Z, fun( X,
% 1.96/2.35 bool ) ), combc( X, Z, bool ), hAPP( fun( X, Z ), fun( X, fun( Z, bool )
% 1.96/2.35 ), hAPP( fun( Z, fun( Z, bool ) ), fun( fun( X, Z ), fun( X, fun( Z,
% 1.96/2.35 bool ) ) ), combb( Z, fun( Z, bool ), X ), fequal( Z ) ), T ) ), hAPP( X
% 1.96/2.35 , Z, T, skol44( X, Y, Z, T ) ) ) ) ) ) ) }.
% 1.96/2.35 { ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ti( fun( X, bool ),
% 1.96/2.35 Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), insert( X ), skol45( X, Y ) ), skol113( X, Y ) ) }.
% 1.96/2.35 { ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun(
% 1.96/2.35 X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ),
% 1.96/2.35 skol45( X, Y ) ), skol113( X, Y ) ) ) }.
% 1.96/2.35 { ! ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), Z ), T ) ), ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) )
% 1.96/2.35 }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.96/2.35 ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T )
% 1.96/2.35 ), ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, finite_finite_1( X ), U ) ), ti( fun( X, bool ), U
% 1.96/2.35 ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X
% 1.96/2.35 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), T ), U ) ) = hAPP(
% 1.96/2.35 X, X, hAPP( X, fun( X, X ), Y, hAPP( fun( X, bool ), X, Z, T ) ), hAPP(
% 1.96/2.35 fun( X, bool ), X, Z, U ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.96/2.35 ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T )
% 1.96/2.35 ), ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), insert( X ), U ), T ) ) = hAPP( X, X, hAPP( X
% 1.96/2.35 , fun( X, X ), Y, U ), hAPP( fun( X, bool ), X, Z, T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( Z, bool ), hAPP( fun( X, Z ), fun( fun( X, bool ),
% 1.96/2.35 fun( Z, bool ) ), image( X, Z ), T ), Y ) = hAPP( fun( X, bool ), fun( Z
% 1.96/2.35 , bool ), hAPP( fun( Z, bool ), fun( fun( X, bool ), fun( Z, bool ) ),
% 1.96/2.35 hAPP( fun( X, fun( Z, bool ) ), fun( fun( Z, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( Z, bool ) ) ), hAPP( fun( fun( Z, bool ), fun( fun( Z, bool ), fun
% 1.96/2.35 ( Z, bool ) ) ), fun( fun( X, fun( Z, bool ) ), fun( fun( Z, bool ), fun
% 1.96/2.35 ( fun( X, bool ), fun( Z, bool ) ) ) ), finite_fold_image( fun( Z, bool )
% 1.96/2.35 , X ), semilattice_sup_sup( fun( Z, bool ) ) ), hAPP( fun( Z, bool ), fun
% 1.96/2.35 ( X, fun( Z, bool ) ), hAPP( fun( X, fun( fun( Z, bool ), fun( Z, bool )
% 1.96/2.35 ) ), fun( fun( Z, bool ), fun( X, fun( Z, bool ) ) ), combc( X, fun( Z,
% 1.96/2.35 bool ), fun( Z, bool ) ), hAPP( fun( X, Z ), fun( X, fun( fun( Z, bool )
% 1.96/2.35 , fun( Z, bool ) ) ), hAPP( fun( Z, fun( fun( Z, bool ), fun( Z, bool ) )
% 1.96/2.35 ), fun( fun( X, Z ), fun( X, fun( fun( Z, bool ), fun( Z, bool ) ) ) ),
% 1.96/2.35 combb( Z, fun( fun( Z, bool ), fun( Z, bool ) ), X ), insert( Z ) ), T )
% 1.96/2.35 ), bot_bot( fun( Z, bool ) ) ) ), bot_bot( fun( Z, bool ) ) ), Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.96/2.35 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun( X, bool
% 1.96/2.35 ), bool, Z, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), skol46( X, Z ) ), bot_bot( fun( X
% 1.96/2.35 , bool ) ) ) ) ), alpha37( X, skol114( X, T ) ), hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, Z, Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.96/2.35 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun( X, bool
% 1.96/2.35 ), bool, Z, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), skol46( X, Z ) ), bot_bot( fun( X
% 1.96/2.35 , bool ) ) ) ) ), alpha46( X, Z, skol114( X, Z ) ), hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, Z, Y ) ) }.
% 1.96/2.35 { ! alpha46( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.35 fun( X, bool ), bool ), member( X ), skol47( X, T, Z ) ), Z ) ) }.
% 1.96/2.35 { ! alpha46( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ) }.
% 1.96/2.35 { ! alpha46( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), skol47( X, Y, Z ) ), Z ) ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), T ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ),
% 1.96/2.35 hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), Z )
% 1.96/2.35 ) ), alpha46( X, Y, Z ) }.
% 1.96/2.35 { ! alpha37( X, Y ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X
% 1.96/2.35 ), Y ) ) }.
% 1.96/2.35 { ! alpha37( X, Y ), ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) )
% 1.96/2.35 }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.96/2.35 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), alpha37( X, Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.96/2.35 ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), Y, T ), T ) = ti( X, T ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), Y, hAPP( Y, fun( fun( X, bool ), Y ), hAPP( fun( X
% 1.96/2.35 , Y ), fun( Y, fun( fun( X, bool ), Y ) ), hAPP( fun( Y, fun( Y, Y ) ),
% 1.96/2.35 fun( fun( X, Y ), fun( Y, fun( fun( X, bool ), Y ) ) ), finite_fold_image
% 1.96/2.35 ( Y, X ), Z ), T ), U ), bot_bot( fun( X, bool ) ) ) = ti( Y, U ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.96/2.35 ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T )
% 1.96/2.35 ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ),
% 1.96/2.35 bool ), member( X ), U ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), Y, U )
% 1.96/2.35 , hAPP( fun( X, bool ), X, Z, T ) ) = hAPP( fun( X, bool ), X, Z, T ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.96/2.35 ), Z ) ), ! hAPP( X, X, T, hAPP( X, X, hAPP( X, fun( X, X ), Y, skol48(
% 1.96/2.35 X, Y, T ) ), skol115( X, Y, T ) ) ) = hAPP( X, X, hAPP( X, fun( X, X ), Y
% 1.96/2.35 , hAPP( X, X, T, skol48( X, Y, T ) ) ), hAPP( X, X, T, skol115( X, Y, T )
% 1.96/2.35 ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), U ) ),
% 1.96/2.35 ti( fun( X, bool ), U ) = bot_bot( fun( X, bool ) ), hAPP( X, X, T, hAPP
% 1.96/2.35 ( fun( X, bool ), X, Z, U ) ) = hAPP( fun( X, bool ), X, Z, hAPP( fun( X
% 1.96/2.35 , bool ), fun( X, bool ), hAPP( fun( X, X ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), image( X, X ), T ), U ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.96/2.35 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.96/2.35 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.96/2.35 ), bool ) ), big_comm_monoid_big( Y, X ), Z ), T ), U ) ), ! hBOOL( hAPP
% 1.96/2.35 ( fun( X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool
% 1.96/2.35 ), Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y ), U, W ), V0 ) = hAPP(
% 1.96/2.35 fun( X, bool ), Y, hAPP( Y, fun( fun( X, bool ), Y ), hAPP( fun( X, Y ),
% 1.96/2.35 fun( Y, fun( fun( X, bool ), Y ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( fun
% 1.96/2.35 ( X, Y ), fun( Y, fun( fun( X, bool ), Y ) ) ), finite_fold_image( Y, X )
% 1.96/2.35 , Z ), W ), T ), V0 ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.96/2.35 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.96/2.35 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.96/2.35 ), bool ) ), big_comm_monoid_big( Y, X ), Z ), T ), U ) ), hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool )
% 1.96/2.35 , Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y ), U, W ), V0 ) = ti( Y, T
% 1.96/2.35 ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.35 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.35 hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), U ), T ) ), ti( fun( X, bool ), T ) = bot_bot( fun( X, bool
% 1.96/2.35 ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), U ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), Y, U ), hAPP( fun( X, bool ), X, Z, T
% 1.96/2.35 ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), X, the_1( X ), hAPP( X, fun( X, bool ), fequal( X )
% 1.96/2.35 , Y ) ) = ti( X, Y ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), X, the_1( X ), hAPP( X, fun( X, bool ), hAPP( fun(
% 1.96/2.35 X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X, bool ),
% 1.96/2.35 fequal( X ) ), Y ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! hBOOL( T ), ti( X, Y ) = hAPP( fun( X, bool ), X, the_1( X ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ),
% 1.96/2.35 fun( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun(
% 1.96/2.35 bool, bool ), X ), fconj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb( bool,
% 1.96/2.35 bool, X ), hAPP( bool, fun( bool, bool ), fimplies, T ) ), hAPP( X, fun(
% 1.96/2.35 X, bool ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ),
% 1.96/2.35 combc( X, X, bool ), fequal( X ) ), Y ) ) ) ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ), hAPP( fun( bool, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), combb( bool, bool, X ), hAPP( bool, fun( bool, bool ), fimplies, hAPP
% 1.96/2.35 ( bool, bool, fNot, T ) ) ), hAPP( X, fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.35 X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X, bool ), fequal( X ) )
% 1.96/2.35 , Z ) ) ) ) }.
% 1.96/2.35 { hBOOL( T ), ti( X, Z ) = hAPP( fun( X, bool ), X, the_1( X ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool )
% 1.96/2.35 , fun( X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun
% 1.96/2.35 ( fun( X, bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool,
% 1.96/2.35 bool ), X ), fconj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.35 bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb( bool, bool, X
% 1.96/2.35 ), hAPP( bool, fun( bool, bool ), fimplies, T ) ), hAPP( X, fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, fun( X, bool ) ), fun( X, fun( X, bool ) ), combc( X, X
% 1.96/2.35 , bool ), fequal( X ) ), Y ) ) ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( fun( bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb(
% 1.96/2.35 bool, bool, X ), hAPP( bool, fun( bool, bool ), fimplies, hAPP( bool,
% 1.96/2.35 bool, fNot, T ) ) ), hAPP( X, fun( X, bool ), hAPP( fun( X, fun( X, bool
% 1.96/2.35 ) ), fun( X, fun( X, bool ) ), combc( X, X, bool ), fequal( X ) ), Z ) )
% 1.96/2.35 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite908156982e_idem( Y, X ), Z ), U ), W ), T ) ), ! hBOOL( hAPP( fun(
% 1.96/2.35 X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, finite_finite_1( X ), V1 ) ), hAPP( fun( X, bool ), Y, T,
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), V0 ), V1
% 1.96/2.35 ) ) = hAPP( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( fun( X, bool ), Y, T,
% 1.96/2.35 V0 ) ), hAPP( fun( X, bool ), Y, T, V1 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( Z, bool ), X ), bool, hAPP( fun( Z, X ), fun(
% 1.96/2.35 fun( fun( Z, bool ), X ), bool ), hAPP( X, fun( fun( Z, X ), fun( fun(
% 1.96/2.35 fun( Z, bool ), X ), bool ) ), hAPP( fun( X, fun( X, X ) ), fun( X, fun(
% 1.96/2.35 fun( Z, X ), fun( fun( fun( Z, bool ), X ), bool ) ) ),
% 1.96/2.35 finite908156982e_idem( X, Z ), Y ), T ), U ), W ) ), hAPP( X, X, hAPP( X
% 1.96/2.35 , fun( X, X ), Y, V0 ), V0 ) = ti( X, V0 ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite908156982e_idem( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun(
% 1.96/2.35 X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), V1 ), V0
% 1.96/2.35 ) ), hAPP( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( X, Y, T, V1 ) ), hAPP(
% 1.96/2.35 fun( X, bool ), Y, U, V0 ) ) = hAPP( fun( X, bool ), Y, U, V0 ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.96/2.35 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.96/2.35 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.96/2.35 ), bool ) ), big_comm_monoid_big( Y, X ), U ), Z ), T ) ), hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, finite_finite_1( X ), W ) ), hAPP( fun( X, bool ),
% 1.96/2.35 Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y ), T, V0 ), W ) = ti( Y, Z )
% 1.96/2.35 }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Z ),
% 1.96/2.35 Y ) ), hAPP( fun( X, bool ), X, Y, hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), bot_bot
% 1.96/2.35 ( fun( X, bool ) ) ) ) = ti( X, T ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite908156982e_idem( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun(
% 1.96/2.35 X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool ), Y, U
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), insert( X ), V1 ), V0 ) ) = hAPP( Y, Y, hAPP( Y, fun( Y, Y
% 1.96/2.35 ), Z, hAPP( X, Y, T, V1 ) ), hAPP( fun( X, bool ), Y, U, V0 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, Y, skol49( X, Y,
% 1.96/2.35 T ) ) ), hAPP( fun( X, bool ), X, the_1( X ), Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! ti( X, skol49( X, Y, Z ) ) = ti( X, Z
% 1.96/2.35 ), hAPP( fun( X, bool ), X, the_1( X ), Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.35 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.35 ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun(
% 1.96/2.35 X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), Y, skol50( X, Y ) ), skol116( X, Y ) ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.35 X, bool ) ), insert( X ), skol50( X, Y ) ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ),
% 1.96/2.35 skol116( X, Y ) ), bot_bot( fun( X, bool ) ) ) ) ) ), hBOOL( hAPP( fun( X
% 1.96/2.35 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), hAPP(
% 1.96/2.35 fun( X, bool ), X, Z, T ) ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.96/2.35 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.96/2.35 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.96/2.35 ), bool ) ), big_comm_monoid_big( Y, X ), T ), U ), Z ) ), ! ti( fun( X
% 1.96/2.35 , bool ), W ) = ti( fun( X, bool ), V0 ), hBOOL( hAPP( fun( X, bool ),
% 1.96/2.35 bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol51( X, V3,
% 1.96/2.35 V0, V4, V5 ) ), V0 ) ), hAPP( fun( X, bool ), Y, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( X, bool ), Y ), Z, V1 ), W ) = hAPP( fun( X, bool ), Y, hAPP( fun( X
% 1.96/2.35 , Y ), fun( fun( X, bool ), Y ), Z, V2 ), V0 ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool, hAPP(
% 1.96/2.35 Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y ) ), bool ), hAPP( fun(
% 1.96/2.35 Y, fun( Y, Y ) ), fun( Y, fun( fun( fun( X, Y ), fun( fun( X, bool ), Y )
% 1.96/2.35 ), bool ) ), big_comm_monoid_big( Y, X ), T ), U ), Z ) ), ! ti( fun( X
% 1.96/2.35 , bool ), W ) = ti( fun( X, bool ), V0 ), ! hAPP( X, Y, V1, skol51( X, Y
% 1.96/2.35 , V0, V1, V2 ) ) = hAPP( X, Y, V2, skol51( X, Y, V0, V1, V2 ) ), hAPP(
% 1.96/2.35 fun( X, bool ), Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y ), Z, V1 ),
% 1.96/2.35 W ) = hAPP( fun( X, bool ), Y, hAPP( fun( X, Y ), fun( fun( X, bool ), Y
% 1.96/2.35 ), Z, V2 ), V0 ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, Y, skol52( X, Y,
% 1.96/2.35 T ) ) ), hBOOL( hAPP( X, bool, Y, hAPP( fun( X, bool ), X, the_1( X ), Y
% 1.96/2.35 ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! ti( X, skol52( X, Y, Z ) ) = ti( X, Z
% 1.96/2.35 ), hBOOL( hAPP( X, bool, Y, hAPP( fun( X, bool ), X, the_1( X ), Y ) ) )
% 1.96/2.35 }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, Y, skol53( X, Y,
% 1.96/2.35 T ) ) ), ! hBOOL( hAPP( X, bool, Y, U ) ), hAPP( fun( X, bool ), X, the_1
% 1.96/2.35 ( X ), Y ) = ti( X, U ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! ti( X, skol53( X, Y, Z ) ) = ti( X, Z
% 1.96/2.35 ), ! hBOOL( hAPP( X, bool, Y, T ) ), hAPP( fun( X, bool ), X, the_1( X )
% 1.96/2.35 , Y ) = ti( X, T ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), hBOOL( hAPP( X, bool, Y, skol54( X, Y,
% 1.96/2.35 T ) ) ), hBOOL( hAPP( X, bool, Y, hAPP( fun( X, bool ), X, the_1( X ), Y
% 1.96/2.35 ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! ti( X, skol54( X, Y, Z ) ) = ti( X, Z
% 1.96/2.35 ), hBOOL( hAPP( X, bool, Y, hAPP( fun( X, bool ), X, the_1( X ), Y ) ) )
% 1.96/2.35 }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), skol55( X, Y, T ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), ti( fun( X, bool ), Z ) = hAPP( fun( X, bool )
% 1.96/2.35 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.35 ( X ), Y ), skol55( X, Y, Z ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), skol56( X, Y ) ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot(
% 1.96/2.35 fun( X, bool ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool
% 1.96/2.35 ), Z ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.96/2.35 fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X
% 1.96/2.35 ), Y ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), Z ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool )
% 1.96/2.35 , bool ), member( X ), Z ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun
% 1.96/2.35 ( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), Y ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hAPP( fun(
% 1.96/2.35 X, bool ), X, big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X,
% 1.96/2.35 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z )
% 1.96/2.35 , Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z )
% 1.96/2.35 , hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.35 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.35 ti( fun( X, bool ), T ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun(
% 1.96/2.35 X, bool ), bool, finite_finite_1( X ), U ) ), ti( fun( X, bool ), U ) =
% 1.96/2.35 bot_bot( fun( X, bool ) ), ! hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), T ), U ) = bot_bot( fun( X, bool )
% 1.96/2.35 ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_sup_sup( fun( X, bool ) ), T ), U ) ) = hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), Y, hAPP( fun( X, bool ), X, Z, T ) ), hAPP( fun( X, bool ),
% 1.96/2.35 X, Z, U ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.35 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.35 ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), U ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), U ) =
% 1.96/2.35 bot_bot( fun( X, bool ) ), hAPP( X, X, hAPP( X, fun( X, X ), Y, hAPP( fun
% 1.96/2.35 ( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.35 X, bool ) ), T ), U ) ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), U ) ) ) = hAPP( X,
% 1.96/2.35 X, hAPP( X, fun( X, X ), Y, hAPP( fun( X, bool ), X, Z, T ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), X, Z, U ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.35 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.35 ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), T ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X,
% 1.96/2.35 bool ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), U ), T )
% 1.96/2.35 ) = ti( X, U ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.35 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), T ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool
% 1.96/2.35 ) ), hAPP( fun( X, bool ), X, Z, hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), U ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), Y, U ), hAPP( fun( X, bool ), X, Z,
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), T ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! hBOOL( hAPP( X, bool, T, Z ) ), hBOOL
% 1.96/2.35 ( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X,
% 1.96/2.35 bool ) ), Y ), T ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ), hBOOL( hAPP( fun( X
% 1.96/2.35 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T )
% 1.96/2.35 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), Y ), Z ), T ) ), hBOOL( hAPP( X, bool, Y, T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), Y ), Z ), T ) ), hBOOL( hAPP( X, bool, Z, T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ), hBOOL( hAPP( fun( X
% 1.96/2.35 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.96/2.35 ( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), Z ), T ) ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.35 fun( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), semilattice_inf_inf( fun( X, bool ) ), Z ), Y ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), semilattice_inf_inf( fun( X, bool ) ), Z ), Y ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), minus_minus( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), bool ), member( X ), Z ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), Y ) ) = ti( X, Z ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) = hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) = hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.35 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) = ti
% 1.96/2.35 ( fun( X, bool ), Y ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool )
% 1.96/2.35 , fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ),
% 1.96/2.35 X ), fconj ), Y ) ), Z ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), collect( X ), Y ) ), hAPP( fun( X, bool ), fun( X, bool ), collect( X
% 1.96/2.35 ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), T )
% 1.96/2.35 ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ),
% 1.96/2.35 bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), T )
% 1.96/2.35 ) ) ), hBOOL( hAPP( X, bool, T, Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, T, Y ) ), hBOOL( hAPP
% 1.96/2.35 ( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X )
% 1.96/2.35 , Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun(
% 1.96/2.35 fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ),
% 1.96/2.35 Z ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), T ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun
% 1.96/2.35 ( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc
% 1.96/2.35 ( X, fun( X, bool ), bool ), member( X ) ), Y ) ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X )
% 1.96/2.35 ), Z ) ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X
% 1.96/2.35 , bool ), bool ), member( X ), T ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Y ), Z ) ) ), hBOOL( hAPP( X, bool, hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X,
% 1.96/2.35 bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Y )
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( fun( X, bool
% 1.96/2.35 ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X, fun( X,
% 1.96/2.35 bool ), bool ), member( X ) ), Z ) ), T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Y )
% 1.96/2.35 = ti( fun( X, bool ), Y ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! minus( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y, X
% 1.96/2.35 ), fun( fun( Y, X ), fun( Y, X ) ), minus_minus( fun( Y, X ) ), Z ), T )
% 1.96/2.35 , U ) = hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), hAPP( Y, X, Z
% 1.96/2.35 , U ) ), hAPP( Y, X, T, U ) ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y
% 1.96/2.35 , X ), fun( fun( Y, X ), fun( Y, X ) ), semilattice_inf_inf( fun( Y, X )
% 1.96/2.35 ), Z ), T ), U ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf
% 1.96/2.35 ( X ), hAPP( Y, X, Z, U ) ), hAPP( Y, X, T, U ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) = hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun( X, fun
% 1.96/2.35 ( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X, bool
% 1.96/2.35 ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ), X ),
% 1.96/2.35 fconj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( fun( X
% 1.96/2.35 , bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X, fun
% 1.96/2.35 ( X, bool ), bool ), member( X ) ), Y ) ) ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( fun( bool, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , combb( bool, bool, X ), fNot ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Z ) ) ) ) }
% 1.96/2.35 .
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 = hAPP( fun( X, bool ), fun( X, bool ), collect( X ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, bool ), hAPP( fun( X, fun( bool, bool ) ), fun( fun( X, bool
% 1.96/2.35 ), fun( X, bool ) ), combs( X, bool, bool ), hAPP( fun( X, bool ), fun(
% 1.96/2.35 X, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool ) ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, fun( bool, bool ) ) ), combb( bool, fun( bool, bool ),
% 1.96/2.35 X ), fconj ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun(
% 1.96/2.35 fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X
% 1.96/2.35 , fun( X, bool ), bool ), member( X ) ), Y ) ) ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X )
% 1.96/2.35 ), Z ) ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun(
% 1.96/2.35 X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ),
% 1.96/2.35 Y ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), Y ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.96/2.35 ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X )
% 1.96/2.35 , Z ), Y ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), Y ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y )
% 1.96/2.35 , Z ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.96/2.35 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y )
% 1.96/2.35 , Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y )
% 1.96/2.35 , Z ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T )
% 1.96/2.35 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T
% 1.96/2.35 ) ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), T ) ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.96/2.35 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z )
% 1.96/2.35 , T ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), T ) )
% 1.96/2.35 }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.96/2.35 ( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), Z ), T ) ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.35 fun( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ), hBOOL( hAPP( fun( X
% 1.96/2.35 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), T ) ), hBOOL( hAPP( fun( X
% 1.96/2.35 , bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T )
% 1.96/2.35 ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) =
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.35 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), Z ) = hAPP( fun( X
% 1.96/2.35 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T ) = hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.96/2.35 ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T
% 1.96/2.35 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T
% 1.96/2.35 ) ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.35 X ), semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), T ) ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.96/2.35 ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), Z )
% 1.96/2.35 ), T ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z ), T ) )
% 1.96/2.35 }.
% 1.96/2.35 { ! semilattice_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.35 X ), semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), T ) = hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.96/2.35 ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X, bool )
% 1.96/2.35 , fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool
% 1.96/2.35 ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.35 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), Z ) ) =
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T ) }.
% 1.96/2.35 { ! minus( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y, X
% 1.96/2.35 ), fun( fun( Y, X ), fun( Y, X ) ), minus_minus( fun( Y, X ) ), Z ), T )
% 1.96/2.35 , U ) = hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), hAPP( Y, X, Z
% 1.96/2.35 , U ) ), hAPP( Y, X, T, U ) ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( Y, X, hAPP( fun( Y, X ), fun( Y, X ), hAPP( fun( Y
% 1.96/2.35 , X ), fun( fun( Y, X ), fun( Y, X ) ), semilattice_inf_inf( fun( Y, X )
% 1.96/2.35 ), Z ), T ), U ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf
% 1.96/2.35 ( X ), hAPP( Y, X, Z, U ) ), hAPP( Y, X, T, U ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.96/2.35 ( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), T ), Z ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), T ), Z ) ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.35 fun( X, bool ), bool ), member( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), Y ), T ), Z ) ), hBOOL( hAPP( X, bool, Y, Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), T ), Y ), Z ) ), hBOOL( hAPP( X, bool, Y, Z ) ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.96/2.35 ), Y ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z
% 1.96/2.35 ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus
% 1.96/2.35 ( fun( X, bool ) ), Y ), Z ) = ti( fun( X, bool ), Y ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), Y ) ) =
% 1.96/2.35 bot_bot( fun( X, bool ) ) }.
% 1.96/2.35 { ! bounded_lattice_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), bot_bot( X ) ), Y ) = bot_bot( X ) }.
% 1.96/2.35 { ! bounded_lattice_bot( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), bot_bot( X ) ) = bot_bot( X ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.96/2.35 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y )
% 1.96/2.35 , Z ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X
% 1.96/2.35 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y )
% 1.96/2.35 , Z ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! distrib_lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), T ) ) }.
% 1.96/2.35 { ! distrib_lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), T ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Y ), T ) ) }.
% 1.96/2.35 { ! distrib_lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.35 X ), semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), T ) ) }.
% 1.96/2.35 { ! distrib_lattice( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.35 X ), semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Z ), T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), bot_bot( fun( X
% 1.96/2.35 , bool ) ) ), Y ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), bot_bot(
% 1.96/2.35 fun( X, bool ) ) ) = ti( fun( X, bool ), Y ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Y ) =
% 1.96/2.35 bot_bot( fun( X, bool ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool )
% 1.96/2.35 , fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool
% 1.96/2.35 ) ), minus_minus( fun( X, bool ) ), Z ), Y ) ) ), hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, finite_finite_1( X ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Z ), Y ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.96/2.35 X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ), T ) = hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.96/2.35 bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ), T ) = hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 insert( X ), Z ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.96/2.35 X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Y ), T ) ), Z ) = hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), T ), Z ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), bot_bot
% 1.96/2.35 ( fun( X, bool ) ) ), Y ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.96/2.35 bot_bot( fun( X, bool ) ) ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z
% 1.96/2.35 ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP
% 1.96/2.35 ( X, fun( fun( X, bool ), bool ), member( X ), T ), Y ) ), alpha8( X, Z,
% 1.96/2.35 T ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), skol57( X, Y, T ) ), Y ) ), hAPP( fun( X, bool ), fun( X,
% 1.96/2.35 bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.96/2.35 ) }.
% 1.96/2.35 { ! alpha8( X, Z, skol57( X, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.96/2.35 ) }.
% 1.96/2.35 { ! alpha8( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.35 fun( X, bool ), bool ), member( X ), T ), Y ) ), ! ti( X, Z ) = ti( X, T
% 1.96/2.35 ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), skol58( X, Y, T ) ), Y ) ), alpha8( X, Y, Z ) }.
% 1.96/2.35 { ti( X, Z ) = ti( X, skol58( X, Y, Z ) ), alpha8( X, Y, Z ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), Y ) ) =
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), Z ) ), Z ) = hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.96/2.35 ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ), T ) = hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.96/2.35 ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X
% 1.96/2.35 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Z ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), T ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z
% 1.96/2.35 ), Y ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Z ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), T ), Y ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ) = hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y )
% 1.96/2.35 ), T ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Z ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Y ), T ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ), T ) = hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ) ) =
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ) ) = hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), insert( X ), Y ), T ) ), Z ) = hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y
% 1.96/2.35 ), T ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), T )
% 1.96/2.35 ), Z ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), T ), Z ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T )
% 1.96/2.35 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y )
% 1.96/2.35 , T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T )
% 1.96/2.35 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.96/2.35 , T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ), T
% 1.96/2.35 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), T )
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z )
% 1.96/2.35 , T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T
% 1.96/2.35 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), T )
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z )
% 1.96/2.35 , T ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.35 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), T ) ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), T ), Y )
% 1.96/2.35 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T )
% 1.96/2.35 ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun(
% 1.96/2.35 fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ),
% 1.96/2.35 T ), Y ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = bot_bot
% 1.96/2.35 ( fun( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.35 X, bool ) ), insert( X ), Z ), Y ) ) = ti( X, Z ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.35 X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = bot_bot(
% 1.96/2.35 fun( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.96/2.35 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) )
% 1.96/2.35 ) ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), bool ), member( X ), Z ), Y ) ), ! hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.35 bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), X, big_lattice_Sup_fin( X ), Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), bool ), member( X ), Z ), Y ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.35 bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), X, big_lattice_Sup_fin( X ), Y ) = hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.96/2.35 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) )
% 1.96/2.35 ) ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), Z ), T ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.96/2.35 X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y )
% 1.96/2.35 , T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), Z ), T ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.96/2.35 X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ), T ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.35 X, bool ) ), insert( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.35 ( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun
% 1.96/2.35 ( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.96/2.35 fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), bot_bot( fun( X, bool
% 1.96/2.35 ) ) ) ) ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Y ), Z ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.96/2.35 bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Y ), Z ) ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.35 ), Y ), bot_bot( fun( X, bool ) ) ) ) = ti( fun( X, bool ), Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), Y ), Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Y ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.35 , Y ), bot_bot( fun( X, bool ) ) ) ) ) = ti( fun( X, bool ), Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.35 , Z ), T ) ) ) ), hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ) ) }
% 1.96/2.35 .
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Y ), T ) ) ), hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X, bool ), fun( X,
% 1.96/2.35 bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) )
% 1.96/2.35 ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z
% 1.96/2.35 ) = bot_bot( fun( X, bool ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.96/2.35 , Z ) ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) ) = hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), hAPP( fun( X,
% 1.96/2.35 bool ), X, big_lattice_Sup_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), Z ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool
% 1.96/2.35 ), Z ) = bot_bot( fun( X, bool ) ), ! hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.96/2.35 ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X
% 1.96/2.35 , hAPP( X, fun( X, X ), semilattice_sup_sup( X ), hAPP( fun( X, bool ), X
% 1.96/2.35 , big_lattice_Sup_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), Z ) ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), Y ), bot_bot( fun( X, bool ) ) ) ) = ti( X, Y ) }
% 1.96/2.35 .
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), bool ), member( X ), Z ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), Y ) ) = hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), Y ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.96/2.35 bool ), fun( Y, bool ) ), image( X, Y ), hAPP( fun( X, Y ), fun( X, Y ),
% 1.96/2.35 hAPP( fun( X, fun( Y, Y ) ), fun( fun( X, Y ), fun( X, Y ) ), combs( X, Y
% 1.96/2.35 , Y ), hAPP( fun( X, Y ), fun( X, fun( Y, Y ) ), hAPP( fun( X, fun( Y,
% 1.96/2.35 fun( Y, Y ) ) ), fun( fun( X, Y ), fun( X, fun( Y, Y ) ) ), combs( X, Y,
% 1.96/2.35 fun( Y, Y ) ), hAPP( fun( X, bool ), fun( X, fun( Y, fun( Y, Y ) ) ),
% 1.96/2.35 hAPP( fun( bool, fun( Y, fun( Y, Y ) ) ), fun( fun( X, bool ), fun( X,
% 1.96/2.35 fun( Y, fun( Y, Y ) ) ) ), combb( bool, fun( Y, fun( Y, Y ) ), X ), if( Y
% 1.96/2.35 ) ), Z ) ), T ) ), U ) ), W ) = hAPP( fun( Y, bool ), fun( Y, bool ),
% 1.96/2.35 hAPP( fun( Y, bool ), fun( fun( Y, bool ), fun( Y, bool ) ),
% 1.96/2.35 semilattice_sup_sup( fun( Y, bool ) ), hAPP( fun( X, bool ), fun( Y, bool
% 1.96/2.35 ), hAPP( fun( X, Y ), fun( fun( X, bool ), fun( Y, bool ) ), image( X, Y
% 1.96/2.35 ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) )
% 1.96/2.35 , W ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), Z ) ) ) ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( Y, bool ), hAPP( fun( X, Y ), fun( fun( X,
% 1.96/2.35 bool ), fun( Y, bool ) ), image( X, Y ), U ), hAPP( fun( X, bool ), fun(
% 1.96/2.35 X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), W ), hAPP( fun( X, bool ), fun( X
% 1.96/2.35 , bool ), collect( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.35 bool, bool ), fun( fun( X, bool ), fun( X, bool ) ), combb( bool, bool, X
% 1.96/2.35 ), fNot ), Z ) ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.35 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.35 ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), U ), T ) ), ! hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.96/2.35 X, bool ) ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), insert( X ), U ), bot_bot( fun( X, bool )
% 1.96/2.35 ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X, Z, T ) = ti
% 1.96/2.35 ( X, U ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.35 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.35 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.35 ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), U ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun(
% 1.96/2.35 X, bool ) ), T ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), insert( X ), U ), bot_bot( fun( X, bool )
% 1.96/2.35 ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X, Z, T ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), Y, U ), hAPP( fun( X, bool ), X, Z,
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), T ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), U ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hAPP( X, X, Y, hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), skol59( X, Y ) ), skol117( X, Y ) ) ) = hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), hAPP( X, X, Y,
% 1.96/2.35 skol59( X, Y ) ) ), hAPP( X, X, Y, skol117( X, Y ) ) ), ! hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool ), Z
% 1.96/2.35 ) = bot_bot( fun( X, bool ) ), hAPP( X, X, Y, hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), Z ) ) = hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Sup_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, X ), fun( fun( X, bool ), fun( X, bool ) ), image( X, X ), Y ), Z )
% 1.96/2.35 ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), skol60
% 1.96/2.35 ( X ) ), skol118( X ) ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), skol60( X ) ), hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), skol118( X ) ), bot_bot( fun( X, bool ) ) ) ) ) )
% 1.96/2.35 , hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), Y ) ),
% 1.96/2.35 Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, Z, Y ) ), hBOOL( hAPP( fun( X, bool ), bool
% 1.96/2.35 , finite_finite_1( X ), skol61( X, T ) ) ), hBOOL( hAPP( fun( X, bool ),
% 1.96/2.35 bool, Z, bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, Z, Y ) ), alpha38( X, Z, skol61( X, Z ) ),
% 1.96/2.35 hBOOL( hAPP( fun( X, bool ), bool, Z, bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.35 { ! alpha38( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun(
% 1.96/2.35 fun( X, bool ), bool ), member( X ), skol62( X, T, Z ) ), Z ) ) }.
% 1.96/2.35 { ! alpha38( X, Y, Z ), hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) ) }.
% 1.96/2.35 { ! alpha38( X, Y, Z ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.35 ), skol62( X, Y, Z ) ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), T ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, Y, Z ) )
% 1.96/2.35 , hBOOL( hAPP( fun( X, bool ), bool, Y, hAPP( fun( X, bool ), fun( X,
% 1.96/2.35 bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ),
% 1.96/2.35 bot_bot( fun( X, bool ) ) ) ) ) ), alpha38( X, Y, Z ) }.
% 1.96/2.35 { ! lattice( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf(
% 1.96/2.35 X ), skol63( X ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup
% 1.96/2.35 ( X ), skol119( X ) ), skol132( X ) ) ) = hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), semilattice_sup_sup( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), skol63( X ) ), skol119( X ) ) ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), semilattice_inf_inf( X ), skol63( X ) ), skol132( X
% 1.96/2.35 ) ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ),
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), Z ) ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), T ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup(
% 1.96/2.35 X ), skol64( X ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf
% 1.96/2.35 ( X ), skol120( X ) ), skol133( X ) ) ) = hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), semilattice_inf_inf( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), skol64( X ) ), skol120( X ) ) ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), semilattice_sup_sup( X ), skol64( X ) ), skol133( X
% 1.96/2.35 ) ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ),
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), Z ) ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), Z ), U ), W ), T ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, finite_finite_1( X ), V1 ) ), ! hAPP( fun( X, bool ), fun(
% 1.96/2.35 X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), V0 ), V1 ) = bot_bot( fun( X, bool
% 1.96/2.35 ) ), hAPP( fun( X, bool ), Y, T, hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_sup_sup( fun( X, bool ) ), V0 ), V1 ) ) = hAPP( Y, Y, hAPP( Y
% 1.96/2.35 , fun( Y, Y ), Z, hAPP( fun( X, bool ), Y, T, V0 ) ), hAPP( fun( X, bool
% 1.96/2.35 ), Y, T, V1 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), V1 ), V0
% 1.96/2.35 ) ), hAPP( fun( X, bool ), Y, U, V0 ) = hAPP( Y, Y, hAPP( Y, fun( Y, Y )
% 1.96/2.35 , Z, hAPP( X, Y, T, V1 ) ), hAPP( fun( X, bool ), Y, U, hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), V0 ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.35 ), V1 ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), zero_zero
% 1.96/2.35 ( nat ) ), X ) = zero_zero( nat ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ),
% 1.96/2.35 zero_zero( nat ) ) = X }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), X )
% 1.96/2.35 = zero_zero( nat ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y
% 1.96/2.35 ) = zero_zero( nat ), ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 minus_minus( nat ), Y ), X ) = zero_zero( nat ), X = Y }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, suc, X ) ), hAPP( nat, nat, suc, Y ) ) = hAPP( nat, nat, hAPP( nat
% 1.96/2.35 , fun( nat, nat ), minus_minus( nat ), X ), Y ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat, nat,
% 1.96/2.35 suc, X ) ), Y ) ), hAPP( nat, nat, suc, Z ) ) = hAPP( nat, nat, hAPP( nat
% 1.96/2.35 , fun( nat, nat ), minus_minus( nat ), hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.35 nat, nat ), minus_minus( nat ), X ), Y ) ), Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), U ), Z ), W ), T ) ), hAPP( fun( X, bool
% 1.96/2.35 ), Y, T, bot_bot( fun( X, bool ) ) ) = ti( Y, Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), V1 ), V0
% 1.96/2.35 ) ), hAPP( fun( X, bool ), Y, U, hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), V1 ), V0 ) )
% 1.96/2.35 = hAPP( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( X, Y, T, V1 ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), Y, U, V0 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), Z ), T ), U ), W ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool ), Y
% 1.96/2.35 , W, V0 ) = hAPP( fun( X, bool ), Y, hAPP( Y, fun( fun( X, bool ), Y ),
% 1.96/2.35 hAPP( fun( X, Y ), fun( Y, fun( fun( X, bool ), Y ) ), hAPP( fun( Y, fun
% 1.96/2.35 ( Y, Y ) ), fun( fun( X, Y ), fun( Y, fun( fun( X, bool ), Y ) ) ),
% 1.96/2.35 finite_fold_image( Y, X ), Z ), U ), T ), V0 ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), Z ), U ), W ), T ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, finite_finite_1( X ), V1 ) ), hAPP( Y, Y, hAPP( Y, fun( Y,
% 1.96/2.35 Y ), Z, hAPP( fun( X, bool ), Y, T, hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_sup_sup( fun( X, bool ) ), V0 ), V1 ) ) ), hAPP( fun( X, bool
% 1.96/2.35 ), Y, T, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) )
% 1.96/2.35 , V0 ), V1 ) ) ) = hAPP( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( fun( X,
% 1.96/2.35 bool ), Y, T, V0 ) ), hAPP( fun( X, bool ), Y, T, V1 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), Z ), W ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), hAPP( fun( X, bool ), Y
% 1.96/2.35 , U, hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ),
% 1.96/2.35 fun( X, bool ) ), insert( X ), V1 ), V0 ) ) = hAPP( Y, Y, hAPP( Y, fun( Y
% 1.96/2.35 , Y ), Z, hAPP( X, Y, T, V1 ) ), hAPP( fun( X, bool ), Y, U, hAPP( fun( X
% 1.96/2.35 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), minus_minus( fun( X, bool ) ), V0 ), hAPP( fun( X, bool )
% 1.96/2.35 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.35 ( X ), V1 ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), Z ), T ), U ), W ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, finite_finite_1( X ), V1 ) ), hBOOL( hAPP( fun( X, bool ),
% 1.96/2.35 bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol65( X, V2,
% 1.96/2.35 V3, V4, V0, V1 ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), V0 ), V1 ) ) ), hAPP( fun( X, bool ), Y, W, hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), V0 ), V1 ) ) = hAPP( Y
% 1.96/2.35 , Y, hAPP( Y, fun( Y, Y ), Z, hAPP( fun( X, bool ), Y, W, V0 ) ), hAPP(
% 1.96/2.35 fun( X, bool ), Y, W, V1 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), Z ), T ), U ), W ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, finite_finite_1( X ), V1 ) ), ! hAPP( X, Y, U, skol65( X, Y
% 1.96/2.35 , T, U, V0, V1 ) ) = ti( Y, T ), hAPP( fun( X, bool ), Y, W, hAPP( fun( X
% 1.96/2.35 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), V0 ), V1 ) ) = hAPP
% 1.96/2.35 ( Y, Y, hAPP( Y, fun( Y, Y ), Z, hAPP( fun( X, bool ), Y, W, V0 ) ), hAPP
% 1.96/2.35 ( fun( X, bool ), Y, W, V1 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), W ), Z ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), hBOOL( hAPP( fun( X,
% 1.96/2.35 bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), skol66(
% 1.96/2.35 X, V1, V2, V3, V0 ) ), V0 ) ), hAPP( fun( X, bool ), Y, U, V0 ) = ti( Y,
% 1.96/2.35 Z ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.35 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.35 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.35 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.35 finite1357897459simple( Y, X ), W ), Z ), T ), U ) ), ! hBOOL( hAPP( fun
% 1.96/2.35 ( X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hAPP( X, Y, T, skol66
% 1.96/2.35 ( X, Y, Z, T, V0 ) ) = ti( Y, Z ), hAPP( fun( X, bool ), Y, U, V0 ) = ti
% 1.96/2.35 ( Y, Z ) }.
% 1.96/2.35 { ! group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y
% 1.96/2.35 ), Z ) = zero_zero( X ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! group_add( X ), ! ti( X, Y ) = ti( X, Z ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.35 , X ), minus_minus( X ), Y ), Z ) = zero_zero( X ) }.
% 1.96/2.35 { ! ab_group_add( X ), ! ti( X, Y ) = ti( X, Z ), hAPP( X, X, hAPP( X, fun
% 1.96/2.35 ( X, X ), minus_minus( X ), Y ), Z ) = zero_zero( X ) }.
% 1.96/2.35 { ! ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X )
% 1.96/2.35 , Y ), Z ) = zero_zero( X ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! group_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y )
% 1.96/2.35 , Y ) = zero_zero( X ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y ) ), Z ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Z ) ), Y ) }
% 1.96/2.35 .
% 1.96/2.35 { ! zero( X ), ! zero_zero( X ) = ti( X, Y ), ti( X, Y ) = zero_zero( X ) }
% 1.96/2.35 .
% 1.96/2.35 { ! zero( X ), ! ti( X, Y ) = zero_zero( X ), zero_zero( X ) = ti( X, Y ) }
% 1.96/2.35 .
% 1.96/2.35 { ! ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X )
% 1.96/2.35 , Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), T ), U )
% 1.96/2.35 , ! ti( X, Y ) = ti( X, Z ), ti( X, T ) = ti( X, U ) }.
% 1.96/2.35 { ! ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X )
% 1.96/2.35 , Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), T ), U )
% 1.96/2.35 , ! ti( X, T ) = ti( X, U ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! group_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y )
% 1.96/2.35 , zero_zero( X ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, X, Y ) ), hBOOL( hAPP( nat, bool, X, hAPP( nat
% 1.96/2.35 , nat, suc, skol67( X ) ) ) ), hBOOL( hAPP( nat, bool, X, hAPP( nat, nat
% 1.96/2.35 , hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), Z ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, X, Y ) ), ! hBOOL( hAPP( nat, bool, X, skol67(
% 1.96/2.35 X ) ) ), hBOOL( hAPP( nat, bool, X, hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.35 nat ), minus_minus( nat ), Y ), Z ) ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool
% 1.96/2.35 ), Z ) = bot_bot( fun( X, bool ) ), ! hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot( fun( X, bool )
% 1.96/2.35 ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X
% 1.96/2.35 , hAPP( X, fun( X, X ), semilattice_inf_inf( X ), hAPP( fun( X, bool ), X
% 1.96/2.35 , big_lattice_Inf_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), Z ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z
% 1.96/2.35 ) = bot_bot( fun( X, bool ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y )
% 1.96/2.35 , Z ) ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) ) = hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), hAPP( fun( X,
% 1.96/2.35 bool ), X, big_lattice_Inf_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), Z ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.96/2.35 fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = bot_bot
% 1.96/2.35 ( fun( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.35 X, bool ) ), insert( X ), Z ), Y ) ) = ti( X, Z ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.35 X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) = bot_bot(
% 1.96/2.35 fun( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.96/2.35 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) )
% 1.96/2.35 ) ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), bool ), member( X ), Z ), Y ) ), ! hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.35 bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), X, big_lattice_Inf_fin( X ), Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), bool ), member( X ), Z ), Y ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.35 bot_bot( fun( X, bool ) ) ) ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.35 bool ), X, big_lattice_Inf_fin( X ), Y ) = hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.96/2.35 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) )
% 1.96/2.35 ) ) ) }.
% 1.96/2.35 { ! lattice( X ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), Y ), bot_bot( fun( X, bool ) ) ) ) = ti( X, Y ) }
% 1.96/2.35 .
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), bool ), member( X ), Z ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_sup_sup( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), Y ) ) = ti( X, Z ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.35 ), bool ), member( X ), Z ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), Y ) ) = hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), Y ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool )
% 1.96/2.35 , bool ), member( X ), Z ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun
% 1.96/2.35 ( X, bool ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), Y ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hAPP( fun(
% 1.96/2.35 X, bool ), X, big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X,
% 1.96/2.35 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z )
% 1.96/2.35 , Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z )
% 1.96/2.35 , hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), Y ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool
% 1.96/2.35 ), Z ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.96/2.35 fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X
% 1.96/2.35 ), Y ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), Z ) ) }.
% 1.96/2.35 { ! lattice( X ), ! hAPP( X, X, Y, hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), skol68( X, Y ) ), skol121( X, Y ) ) ) = hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), hAPP( X, X, Y,
% 1.96/2.35 skol68( X, Y ) ) ), hAPP( X, X, Y, skol121( X, Y ) ) ), ! hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool ), Z
% 1.96/2.35 ) = bot_bot( fun( X, bool ) ), hAPP( X, X, Y, hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), Z ) ) = hAPP( fun( X, bool ), X,
% 1.96/2.35 big_lattice_Inf_fin( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, X ), fun( fun( X, bool ), fun( X, bool ) ), image( X, X ), Y ), Z )
% 1.96/2.35 ) }.
% 1.96/2.35 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.35 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), skol69
% 1.96/2.35 ( X ) ), skol122( X ) ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), skol69( X ) ), hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.35 bool ) ), insert( X ), skol122( X ) ), bot_bot( fun( X, bool ) ) ) ) ) )
% 1.96/2.35 , hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.35 , member( X ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), Y ) ),
% 1.96/2.35 Y ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), hAPP
% 1.96/2.35 ( nat, nat, suc, Y ) ) = hAPP( nat, nat, hAPP( fun( nat, nat ), fun( nat
% 1.96/2.35 , nat ), hAPP( nat, fun( fun( nat, nat ), fun( nat, nat ) ), nat_case(
% 1.96/2.35 nat ), zero_zero( nat ) ), combi( nat ) ), hAPP( nat, nat, hAPP( nat, fun
% 1.96/2.35 ( nat, nat ), minus_minus( nat ), X ), Y ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, fun( fun( X, bool ), fun( X, bool ) ) ), bool,
% 1.96/2.35 finite_comp_fun_idem( X, fun( X, bool ) ), hAPP( fun( X, fun( X, bool ) )
% 1.96/2.35 , fun( X, fun( fun( X, bool ), fun( X, bool ) ) ), hAPP( fun( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ) ), fun( fun( X, fun( X,
% 1.96/2.35 bool ) ), fun( X, fun( fun( X, bool ), fun( X, bool ) ) ) ), combb( fun(
% 1.96/2.35 X, bool ), fun( fun( X, bool ), fun( X, bool ) ), X ), hAPP( fun( fun( X
% 1.96/2.35 , bool ), fun( fun( X, bool ), fun( X, bool ) ) ), fun( fun( X, bool ),
% 1.96/2.35 fun( fun( X, bool ), fun( X, bool ) ) ), combc( fun( X, bool ), fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ) ) ), hAPP( fun( X
% 1.96/2.35 , bool ), fun( X, fun( X, bool ) ), hAPP( fun( X, fun( fun( X, bool ),
% 1.96/2.35 fun( X, bool ) ) ), fun( fun( X, bool ), fun( X, fun( X, bool ) ) ),
% 1.96/2.35 combc( X, fun( X, bool ), fun( X, bool ) ), insert( X ) ), bot_bot( fun(
% 1.96/2.35 X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.96/2.35 fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y )
% 1.96/2.35 ) = hAPP( nat, nat, suc, hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, fun( Y, Y ) ), bool, finite_comp_fun_idem( X, Y )
% 1.96/2.35 , Z ) ), hAPP( Y, Y, hAPP( X, fun( Y, Y ), Z, T ), hAPP( Y, Y, hAPP( X,
% 1.96/2.35 fun( Y, Y ), Z, T ), U ) ) = hAPP( Y, Y, hAPP( X, fun( Y, Y ), Z, T ), U
% 1.96/2.35 ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, fun( fun( X, bool ), fun( X, bool ) ) ), bool,
% 1.96/2.35 finite_comp_fun_idem( X, fun( X, bool ) ), insert( X ) ) ) }.
% 1.96/2.35 { hAPP( fun( X, bool ), nat, finite_card( X ), bot_bot( fun( X, bool ) ) )
% 1.96/2.35 = zero_zero( nat ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), nat, finite_card( X ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { ! semilattice_sup( X ), hBOOL( hAPP( fun( X, fun( X, X ) ), bool,
% 1.96/2.35 finite_comp_fun_idem( X, X ), semilattice_sup_sup( X ) ) ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hBOOL( hAPP( fun( X, fun( X, X ) ), bool,
% 1.96/2.35 finite_comp_fun_idem( X, X ), semilattice_inf_inf( X ) ) ) }.
% 1.96/2.35 { hAPP( nat, X, hAPP( fun( nat, X ), fun( nat, X ), hAPP( X, fun( fun( nat
% 1.96/2.35 , X ), fun( nat, X ) ), nat_case( X ), Y ), Z ), zero_zero( nat ) ) = ti
% 1.96/2.35 ( X, Y ) }.
% 1.96/2.35 { hAPP( nat, X, hAPP( fun( nat, X ), fun( nat, X ), hAPP( X, fun( fun( nat
% 1.96/2.35 , X ), fun( nat, X ) ), nat_case( X ), Y ), Z ), hAPP( nat, nat, suc, T )
% 1.96/2.35 ) = hAPP( nat, X, Z, T ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = zero_zero( nat ), ti
% 1.96/2.35 ( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP( fun( X
% 1.96/2.35 , bool ), bool, finite_finite_1( X ), Y ) ) }.
% 1.96/2.35 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool
% 1.96/2.35 ), nat, finite_card( X ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), nat, finite_card( X ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), insert( X ), Z ), Y ) ) = hAPP( nat, nat, suc, hAPP( fun( X, bool ),
% 1.96/2.35 nat, finite_card( X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.35 X, bool ) ), insert( X ), Z ), Y ) ) = hAPP( fun( X, bool ), nat,
% 1.96/2.35 finite_card( X ), Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), insert( X ), Z ), Y ) ) = hAPP( nat, nat, suc, hAPP( fun( X, bool ),
% 1.96/2.35 nat, finite_card( X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ) ), hAPP(
% 1.96/2.35 fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Y ), Z ) ) = hAPP( nat, nat, hAPP( nat,
% 1.96/2.35 fun( nat, nat ), minus_minus( nat ), hAPP( fun( X, bool ), nat,
% 1.96/2.35 finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), Y ) ), hAPP( nat, nat, suc, hAPP( fun( X, bool ), nat,
% 1.96/2.35 finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) )
% 1.96/2.35 ) ) = hAPP( fun( X, bool ), nat, finite_card( X ), Y ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.96/2.35 , Z ), ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.35 hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), skol70( X, Y
% 1.96/2.35 , Z ) ), skol123( X, Y, Z ) ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.96/2.35 , Z ), alpha23( X, Z, skol70( X, Y, Z ), skol123( X, Y, Z ) ) }.
% 1.96/2.35 { ! ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), U ), ! alpha23
% 1.96/2.35 ( X, Z, T, U ), hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP(
% 1.96/2.35 nat, nat, suc, Z ) }.
% 1.96/2.35 { ! alpha23( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Z ), T ) ) }.
% 1.96/2.35 { ! alpha23( X, Y, Z, T ), alpha9( X, Y, T ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), T ) ), ! alpha9( X, Y, T ), alpha23( X, Y, Z, T ) }.
% 1.96/2.35 { ! alpha9( X, Y, Z ), hAPP( fun( X, bool ), nat, finite_card( X ), Z ) = Y
% 1.96/2.35 }.
% 1.96/2.35 { ! alpha9( X, Y, Z ), alpha24( X, Y, Z ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Z ) = Y, ! alpha24( X, Y,
% 1.96/2.35 Z ), alpha9( X, Y, Z ) }.
% 1.96/2.35 { ! alpha24( X, Y, Z ), ! Y = zero_zero( nat ), ti( fun( X, bool ), Z ) =
% 1.96/2.35 bot_bot( fun( X, bool ) ) }.
% 1.96/2.35 { Y = zero_zero( nat ), alpha24( X, Y, Z ) }.
% 1.96/2.35 { ! ti( fun( X, bool ), Z ) = bot_bot( fun( X, bool ) ), alpha24( X, Y, Z )
% 1.96/2.35 }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.96/2.35 , Z ), hAPP( fun( X, bool ), nat, finite_card( X ), skol124( X, T, Z ) )
% 1.96/2.35 = Z }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.96/2.35 , Z ), ! Z = zero_zero( nat ), ti( fun( X, bool ), skol124( X, T, Z ) ) =
% 1.96/2.35 bot_bot( fun( X, bool ) ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( nat, nat, suc
% 1.96/2.35 , Z ), alpha39( X, Y, skol71( X, Y, Z ), skol124( X, Y, Z ) ) }.
% 1.96/2.35 { ! alpha39( X, Y, Z, T ), ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ),
% 1.96/2.35 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.35 ), Z ), T ) }.
% 1.96/2.35 { ! alpha39( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), Z ), T ) ) }.
% 1.96/2.35 { ! ti( fun( X, bool ), Y ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( X
% 1.96/2.35 , fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), Z ), T ) ), alpha39( X, Y, Z, T ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) = hAPP( nat, nat,
% 1.96/2.35 hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( fun( X, bool ), nat
% 1.96/2.35 , finite_card( X ), Y ) ), one_one( nat ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.35 fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) = hAPP( fun( X, bool )
% 1.96/2.35 , nat, finite_card( X ), Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.35 , insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) = hAPP( nat, nat,
% 1.96/2.35 hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( fun( X, bool ), nat
% 1.96/2.35 , finite_card( X ), Y ) ), one_one( nat ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.96/2.35 ( fun( X, bool ), bool ), member( X ), Z ), T ) ), hAPP( fun( X, bool ),
% 1.96/2.35 nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X
% 1.96/2.35 , bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.96/2.35 bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X
% 1.96/2.35 , bool ), fun( X, bool ) ), insert( X ), Z ), T ) ) ) = hAPP( nat, nat,
% 1.96/2.35 hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( fun( X, bool ), nat
% 1.96/2.35 , finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.35 ) ), Y ), T ) ) ), one_one( nat ) ) }.
% 1.96/2.35 { ! one( X ), ! one_one( X ) = ti( X, Y ), ti( X, Y ) = one_one( X ) }.
% 1.96/2.35 { ! one( X ), ! ti( X, Y ) = one_one( X ), one_one( X ) = ti( X, Y ) }.
% 1.96/2.35 { one_one( nat ) = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, suc, X ) ), one_one( nat ) ) = X }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), hAPP
% 1.96/2.35 ( nat, nat, suc, Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 minus_minus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 minus_minus( nat ), X ), one_one( nat ) ) ), Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), skol72( X, Y ) ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X
% 1.96/2.35 ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), !
% 1.96/2.35 one_one( nat ) = zero_zero( nat ), hAPP( fun( X, bool ), nat, finite_card
% 1.96/2.35 ( X ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { ! zero_neq_one( X ), ! one_one( X ) = zero_zero( X ) }.
% 1.96/2.35 { ! zero_neq_one( X ), ! zero_zero( X ) = one_one( X ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.35 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), Y )
% 1.96/2.35 = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), one_one
% 1.96/2.35 ( nat ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.35 , Z ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.96/2.35 fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y )
% 1.96/2.35 ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ),
% 1.96/2.35 one_one( nat ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.35 fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool
% 1.96/2.35 ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), zero_zero(
% 1.96/2.35 nat ) ), X ) = X }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ),
% 1.96/2.35 zero_zero( nat ) ) = X }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.96/2.35 = zero_zero( nat ), X = zero_zero( nat ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.96/2.35 = zero_zero( nat ), Y = zero_zero( nat ) }.
% 1.96/2.35 { ! X = zero_zero( nat ), ! Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat
% 1.96/2.35 , fun( nat, nat ), plus_plus( nat ), X ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), X )
% 1.96/2.35 = Y, X = zero_zero( nat ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), hAPP(
% 1.96/2.35 nat, nat, suc, Y ) ) = hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat,
% 1.96/2.35 fun( nat, nat ), plus_plus( nat ), X ), Y ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.96/2.35 nat, suc, X ) ), Y ) = hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat,
% 1.96/2.35 fun( nat, nat ), plus_plus( nat ), X ), Y ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.96/2.35 nat, suc, X ) ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 plus_plus( nat ), X ), hAPP( nat, nat, suc, Y ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), X ) }
% 1.96/2.35 .
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), hAPP(
% 1.96/2.35 nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), Z ) ) = hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.96/2.35 nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), Z ) = hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), Z ) ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.96/2.35 = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z )
% 1.96/2.35 , Y = Z }.
% 1.96/2.35 { ! Y = Z, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X
% 1.96/2.35 ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X
% 1.96/2.35 ), Z ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.96/2.35 = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z ), Y )
% 1.96/2.35 , X = Z }.
% 1.96/2.35 { ! X = Z, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X
% 1.96/2.35 ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z
% 1.96/2.35 ), Y ) }.
% 1.96/2.35 { ! ab_semigroup_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), hAPP( X, X, hAPP(
% 1.96/2.35 X, fun( X, X ), plus_plus( X ), Z ), T ) ) }.
% 1.96/2.35 { ! cancel_semigroup_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.35 ), Y ), T ), ti( X, Z ) = ti( X, T ) }.
% 1.96/2.35 { ! cancel_semigroup_add( X ), ! ti( X, Z ) = ti( X, T ), hAPP( X, X, hAPP
% 1.96/2.35 ( X, fun( X, X ), plus_plus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X
% 1.96/2.35 , X ), plus_plus( X ), Y ), T ) }.
% 1.96/2.35 { ! cancel_semigroup_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.35 ), T ), Z ), ti( X, Y ) = ti( X, T ) }.
% 1.96/2.35 { ! cancel_semigroup_add( X ), ! ti( X, Y ) = ti( X, T ), hAPP( X, X, hAPP
% 1.96/2.35 ( X, fun( X, X ), plus_plus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X
% 1.96/2.35 , X ), plus_plus( X ), T ), Z ) }.
% 1.96/2.35 { ! cancel_semigroup_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), T ), Y ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.35 ), T ), Z ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! cancel146912293up_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), T ), Y ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.35 ), T ), Z ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! cancel_semigroup_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), Y ), T ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.35 ), Z ), T ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! comm_monoid_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , Y ), zero_zero( X ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! monoid_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y )
% 1.96/2.35 , zero_zero( X ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! linord219039673up_add( X ), ! zero_zero( X ) = hAPP( X, X, hAPP( X, fun
% 1.96/2.35 ( X, X ), plus_plus( X ), Y ), Y ), ti( X, Y ) = zero_zero( X ) }.
% 1.96/2.35 { ! linord219039673up_add( X ), ! ti( X, Y ) = zero_zero( X ), zero_zero( X
% 1.96/2.35 ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Y ) }.
% 1.96/2.35 { ! comm_monoid_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , zero_zero( X ) ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! monoid_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.96/2.35 zero_zero( X ) ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! group_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y ), Z ) ), Z ) = ti( X,
% 1.96/2.35 Y ) }.
% 1.96/2.35 { ! group_add( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ),
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), Z ) = ti( X
% 1.96/2.35 , Y ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), Y ) = X
% 1.96/2.35 }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), X ) = Y
% 1.96/2.35 }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y ) ), Z ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), Z ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), hAPP(
% 1.96/2.35 nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z ) ) = hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), Z ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), hAPP(
% 1.96/2.35 nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z ), Y ) ) = hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Z ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.96/2.35 = hAPP( nat, nat, suc, zero_zero( nat ) ), alpha10( X, Y ), alpha25( X, Y
% 1.96/2.35 ) }.
% 1.96/2.35 { ! alpha10( X, Y ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.35 ( nat ), X ), Y ) = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.96/2.35 { ! alpha25( X, Y ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.35 ( nat ), X ), Y ) = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.96/2.35 { ! alpha25( X, Y ), X = zero_zero( nat ) }.
% 1.96/2.35 { ! alpha25( X, Y ), Y = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.96/2.35 { ! X = zero_zero( nat ), ! Y = hAPP( nat, nat, suc, zero_zero( nat ) ),
% 1.96/2.35 alpha25( X, Y ) }.
% 1.96/2.35 { ! alpha10( X, Y ), X = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.96/2.35 { ! alpha10( X, Y ), Y = zero_zero( nat ) }.
% 1.96/2.35 { ! X = hAPP( nat, nat, suc, zero_zero( nat ) ), ! Y = zero_zero( nat ),
% 1.96/2.35 alpha10( X, Y ) }.
% 1.96/2.35 { ! hAPP( nat, nat, suc, zero_zero( nat ) ) = hAPP( nat, nat, hAPP( nat,
% 1.96/2.35 fun( nat, nat ), plus_plus( nat ), X ), Y ), alpha11( X, Y ), alpha26( X
% 1.96/2.35 , Y ) }.
% 1.96/2.35 { ! alpha11( X, Y ), hAPP( nat, nat, suc, zero_zero( nat ) ) = hAPP( nat,
% 1.96/2.35 nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) }.
% 1.96/2.35 { ! alpha26( X, Y ), hAPP( nat, nat, suc, zero_zero( nat ) ) = hAPP( nat,
% 1.96/2.35 nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) }.
% 1.96/2.35 { ! alpha26( X, Y ), X = zero_zero( nat ) }.
% 1.96/2.35 { ! alpha26( X, Y ), Y = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.96/2.35 { ! X = zero_zero( nat ), ! Y = hAPP( nat, nat, suc, zero_zero( nat ) ),
% 1.96/2.35 alpha26( X, Y ) }.
% 1.96/2.35 { ! alpha11( X, Y ), X = hAPP( nat, nat, suc, zero_zero( nat ) ) }.
% 1.96/2.35 { ! alpha11( X, Y ), Y = zero_zero( nat ) }.
% 1.96/2.35 { ! X = hAPP( nat, nat, suc, zero_zero( nat ) ), ! Y = zero_zero( nat ),
% 1.96/2.35 alpha11( X, Y ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ) =
% 1.96/2.35 zero_zero( nat ) }.
% 1.96/2.35 { hAPP( nat, nat, suc, X ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 plus_plus( nat ), X ), one_one( nat ) ) }.
% 1.96/2.35 { hAPP( nat, nat, suc, X ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 plus_plus( nat ), one_one( nat ) ), X ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hAPP( nat, nat
% 1.96/2.35 , hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun( X, bool ), nat
% 1.96/2.35 , finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), Z
% 1.96/2.35 ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.96/2.35 ( fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X,
% 1.96/2.35 bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ), hAPP( fun( X, bool )
% 1.96/2.35 , nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.35 fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hAPP( nat, nat
% 1.96/2.35 , hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun( X, bool ), nat
% 1.96/2.35 , finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.35 X, bool ) ), Y ), Z ) ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.96/2.35 ( fun( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat
% 1.96/2.35 , finite_card( X ), Z ) ) }.
% 1.96/2.35 { ! Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 plus_plus( nat ), Y ), X ) = X }.
% 1.96/2.35 { Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 plus_plus( nat ), Y ), X ) = hAPP( nat, nat, suc, hAPP( nat, nat, hAPP(
% 1.96/2.35 nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.35 nat, nat ), minus_minus( nat ), Y ), one_one( nat ) ) ), X ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.35 hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member
% 1.96/2.35 ( X ), Z ), Y ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool )
% 1.96/2.35 ), insert( X ), Z ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.96/2.35 , plus_plus( nat ), one_one( nat ) ), hAPP( fun( X, bool ), nat,
% 1.96/2.35 finite_card( X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.96/2.35 fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( fun( X, bool ), nat,
% 1.96/2.35 hAPP( nat, fun( fun( X, bool ), nat ), hAPP( fun( X, nat ), fun( nat, fun
% 1.96/2.35 ( fun( X, bool ), nat ) ), hAPP( fun( nat, fun( nat, nat ) ), fun( fun( X
% 1.96/2.35 , nat ), fun( nat, fun( fun( X, bool ), nat ) ) ), finite_fold_image( nat
% 1.96/2.35 , X ), plus_plus( nat ) ), hAPP( nat, fun( X, nat ), combk( nat, X ),
% 1.96/2.35 one_one( nat ) ) ), zero_zero( nat ) ), Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP(
% 1.96/2.35 fun( X, bool ), nat, finite_card( X ), Y ) = hAPP( fun( X, bool ), nat,
% 1.96/2.35 hAPP( nat, fun( fun( X, bool ), nat ), hAPP( fun( X, nat ), fun( nat, fun
% 1.96/2.35 ( fun( X, bool ), nat ) ), hAPP( fun( nat, fun( nat, nat ) ), fun( fun( X
% 1.96/2.35 , nat ), fun( nat, fun( fun( X, bool ), nat ) ) ), finite_fold_image( nat
% 1.96/2.35 , X ), plus_plus( nat ) ), hAPP( nat, fun( X, nat ), combk( nat, X ),
% 1.96/2.35 one_one( nat ) ) ), zero_zero( nat ) ), Y ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), nat, finite_card( X ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ! hAPP( fun( X
% 1.96/2.35 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.35 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot
% 1.96/2.35 ( fun( X, bool ) ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun(
% 1.96/2.35 X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat,
% 1.96/2.35 finite_card( X ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP(
% 1.96/2.35 fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ),
% 1.96/2.35 skol73( X, Y, Z ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.35 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.35 X, bool ) ), Y ), Z ) ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.35 bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z )
% 1.96/2.35 ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP(
% 1.96/2.35 fun( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat,
% 1.96/2.35 finite_card( X ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ! one_one( nat
% 1.96/2.35 ) = zero_zero( nat ), hAPP( fun( X, bool ), nat, finite_card( X ), hAPP
% 1.96/2.35 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.96/2.35 ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun
% 1.96/2.35 ( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat,
% 1.96/2.35 finite_card( X ), Z ) ) }.
% 1.96/2.35 { hAPP( com, nat, com_size, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.96/2.35 semi, X ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.35 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ),
% 1.96/2.35 hAPP( com, nat, com_size, X ) ), hAPP( com, nat, com_size, Y ) ) ), hAPP
% 1.96/2.35 ( nat, nat, suc, zero_zero( nat ) ) ) }.
% 1.96/2.35 { hAPP( com, nat, com_size, hAPP( com, com, hAPP( fun( state, bool ), fun(
% 1.96/2.35 com, com ), while, X ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.35 ), plus_plus( nat ), hAPP( com, nat, com_size, Y ) ), hAPP( nat, nat,
% 1.96/2.35 suc, zero_zero( nat ) ) ) }.
% 1.96/2.35 { ! linord219039673up_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), Y ), Y ) = zero_zero( X ), ti( X, Y ) = zero_zero( X ) }
% 1.96/2.35 .
% 1.96/2.35 { ! linord219039673up_add( X ), ! ti( X, Y ) = zero_zero( X ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), plus_plus( X ), Y ), Y ) = zero_zero( X ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), ! ti( X, Y ) = hAPP( X, X, hAPP( X, fun( X
% 1.96/2.35 , X ), plus_plus( X ), Y ), Z ), ti( X, Z ) = zero_zero( X ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), ! ti( X, Z ) = zero_zero( X ), ti( X, Y ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), Y ) }
% 1.96/2.35 .
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , Y ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), hAPP( X, X, hAPP(
% 1.96/2.35 X, fun( X, X ), plus_plus( X ), Y ), T ) ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , Y ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), hAPP( X, X, hAPP(
% 1.96/2.35 X, fun( X, X ), plus_plus( X ), Z ), T ) ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), plus_plus( X ), Y ), T ) ), Z ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), hAPP( X,
% 1.96/2.35 X, hAPP( X, fun( X, X ), plus_plus( X ), T ), U ) ) = hAPP( X, X, hAPP( X
% 1.96/2.35 , fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.35 X ), Z ), U ) ) }.
% 1.96/2.35 { hAPP( com, nat, com_size, hAPP( pname, com, body, X ) ) = zero_zero( nat
% 1.96/2.35 ) }.
% 1.96/2.35 { hAPP( com, nat, com_size, skip ) = zero_zero( nat ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , zero_zero( X ) ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , Y ), zero_zero( X ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( Y, bool ), bool, finite_finite_1( Y ), T ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hAPP( fun(
% 1.96/2.35 sum_sum( Y, X ), bool ), nat, finite_card( sum_sum( Y, X ) ), hAPP( fun(
% 1.96/2.35 X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool ), fun( fun(
% 1.96/2.35 X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X ), T ), Z ) ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun
% 1.96/2.35 ( Y, bool ), nat, finite_card( Y ), T ) ), hAPP( fun( X, bool ), nat,
% 1.96/2.35 finite_card( X ), Z ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( Y, bool ), bool, finite_finite_1( Y ), T ) ), hAPP( fun
% 1.96/2.35 ( sum_sum( Y, X ), bool ), nat, finite_card( sum_sum( Y, X ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X ), T ), Z ) )
% 1.96/2.35 = zero_zero( nat ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hAPP( fun
% 1.96/2.35 ( sum_sum( Y, X ), bool ), nat, finite_card( sum_sum( Y, X ) ), hAPP( fun
% 1.96/2.35 ( X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool ), fun( fun
% 1.96/2.35 ( X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X ), T ), Z ) )
% 1.96/2.35 = zero_zero( nat ) }.
% 1.96/2.35 { hAPP( com, nat, size_size( com ), hAPP( com, com, hAPP( com, fun( com,
% 1.96/2.35 com ), semi, X ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.35 nat ), hAPP( com, nat, size_size( com ), X ) ), hAPP( com, nat, size_size
% 1.96/2.35 ( com ), Y ) ) ), hAPP( nat, nat, suc, zero_zero( nat ) ) ) }.
% 1.96/2.35 { hAPP( com, nat, size_size( com ), hAPP( com, com, hAPP( fun( state, bool
% 1.96/2.35 ), fun( com, com ), while, X ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.35 nat, nat ), plus_plus( nat ), hAPP( com, nat, size_size( com ), Y ) ),
% 1.96/2.35 hAPP( nat, nat, suc, zero_zero( nat ) ) ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), T ) ), ! hAPP( fun( Y, bool ), fun( Y, bool ), hAPP
% 1.96/2.35 ( fun( Y, bool ), fun( fun( Y, bool ), fun( Y, bool ) ),
% 1.96/2.35 semilattice_inf_inf( fun( Y, bool ) ), Z ), T ) = bot_bot( fun( Y, bool )
% 1.96/2.35 ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun
% 1.96/2.35 ( Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) )
% 1.96/2.35 , fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, Y ), times_times( X ) ), U ), one_one( X ) ), hAPP
% 1.96/2.35 ( fun( Y, bool ), fun( Y, bool ), hAPP( fun( Y, bool ), fun( fun( Y, bool
% 1.96/2.35 ), fun( Y, bool ) ), semilattice_sup_sup( fun( Y, bool ) ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( fun( Y, bool )
% 1.96/2.35 , X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun(
% 1.96/2.35 fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun
% 1.96/2.35 ( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times
% 1.96/2.35 ( X ) ), U ), one_one( X ) ), Z ) ), hAPP( fun( Y, bool ), X, hAPP( X,
% 1.96/2.35 fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool )
% 1.96/2.35 , X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun
% 1.96/2.35 ( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) ), U )
% 1.96/2.35 , one_one( X ) ), T ) ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), one_one( X ) ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), Y ), one_one( X ) ) = ti( X, Y ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), Z ) ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.96/2.35 nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y ) ), hAPP(
% 1.96/2.35 nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Z ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) ), Z ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.96/2.35 nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Z ) ), hAPP(
% 1.96/2.35 nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y ), Z ) ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.96/2.35 Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), U ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), times_times( X ), Y ), U ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), times_times( X ), T ), Z ) ), ti( X, Y ) = ti( X, T ), ti( X, Z ) =
% 1.96/2.35 ti( X, U ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), ! ti( X, Y ) = ti( X, T ), hAPP( X, X, hAPP
% 1.96/2.35 ( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), T ), U ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.96/2.35 U ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Z ) ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), ! ti( X, Z ) = ti( X, U ), hAPP( X, X, hAPP
% 1.96/2.35 ( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), T ), U ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.96/2.35 U ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Z ) ) }.
% 1.96/2.35 { ! semiring( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP(
% 1.96/2.35 X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), T ), Z ) ), U ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), T ) ), Z ) ), U ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), times_times( X ), T ), Z ) ) = hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.35 , plus_plus( X ), Y ), T ) ), Z ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), times_times( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), times_times( X ), Z ), T ) ) }.
% 1.96/2.35 { ! comm_semiring( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), T ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), times_times( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), times_times( X ), Z ), T ) ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), ti( X, T ) = ti( X, U ), ti( X, Y ) = ti( X
% 1.96/2.35 , Z ), ! hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), T ), Y ) ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), times_times( X ), U ), Z ) ) = hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.35 X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ),
% 1.96/2.35 T ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ), Y )
% 1.96/2.35 ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus
% 1.96/2.35 ( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Y ) ),
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ), Z ) ) = hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), times_times( X ), T ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), U ), Y ) ), ! ti( X, T ) = ti( X, U ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus
% 1.96/2.35 ( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Y ) ),
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ), Z ) ) = hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), times_times( X ), T ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), U ), Y ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.35 ), times_times( X ), Y ), T ) ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), zero_zero( X ) ), Y ) = zero_zero( X ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), Y ), zero_zero( X ) ) = zero_zero( X ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y
% 1.96/2.35 ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), Y ), T ) ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X
% 1.96/2.35 , fun( X, X ), times_times( X ), Y ), Z ) ), T ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), T ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), Z ), T ) ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), T ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X
% 1.96/2.35 , fun( X, X ), times_times( X ), Y ), T ) ), Z ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), U ) ) = hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), Y ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.35 , X ), times_times( X ), Z ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), T ), U ) ) ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), U ) ) = hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), T ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.35 , X ), times_times( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), Y ), Z ) ), U ) ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), U ) ) = hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.35 , times_times( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Z ), U ) ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y
% 1.96/2.35 ) = one_one( nat ), X = one_one( nat ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y
% 1.96/2.35 ) = one_one( nat ), Y = one_one( nat ) }.
% 1.96/2.35 { ! X = one_one( nat ), ! Y = one_one( nat ), hAPP( nat, nat, hAPP( nat,
% 1.96/2.35 fun( nat, nat ), times_times( nat ), X ), Y ) = one_one( nat ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ),
% 1.96/2.35 one_one( nat ) ) = X }.
% 1.96/2.35 { ! one_one( nat ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ), X = one_one( nat ) }.
% 1.96/2.35 { ! one_one( nat ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ), Y = one_one( nat ) }.
% 1.96/2.35 { ! X = one_one( nat ), ! Y = one_one( nat ), one_one( nat ) = hAPP( nat,
% 1.96/2.35 nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), one_one(
% 1.96/2.35 nat ) ), X ) = X }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), zero_zero
% 1.96/2.35 ( nat ) ), X ) = zero_zero( nat ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ),
% 1.96/2.35 zero_zero( nat ) ) = zero_zero( nat ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y
% 1.96/2.35 ) = zero_zero( nat ), X = zero_zero( nat ), Y = zero_zero( nat ) }.
% 1.96/2.35 { ! X = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { ! Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ) = zero_zero( nat ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y
% 1.96/2.35 ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X )
% 1.96/2.35 , Z ), Y = Z, X = zero_zero( nat ) }.
% 1.96/2.35 { ! Y = Z, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.35 X ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat )
% 1.96/2.35 , X ), Z ) }.
% 1.96/2.35 { ! X = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.96/2.35 , times_times( nat ), X ), Z ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y
% 1.96/2.35 ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Z )
% 1.96/2.35 , Y ), X = Z, Y = zero_zero( nat ) }.
% 1.96/2.35 { ! X = Z, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.35 X ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat )
% 1.96/2.35 , Z ), Y ) }.
% 1.96/2.35 { ! Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.96/2.35 , times_times( nat ), Z ), Y ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP(
% 1.96/2.35 nat, nat, suc, X ) ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), hAPP( nat, nat, suc, X ) ), Z ), Y = Z }.
% 1.96/2.35 { ! Y = Z, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.35 hAPP( nat, nat, suc, X ) ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.35 nat ), times_times( nat ), hAPP( nat, nat, suc, X ) ), Z ) }.
% 1.96/2.35 { ! ab_sem1668676832m_mult( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Y ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! ab_sem1668676832m_mult( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Y ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! ab_sem1668676832m_mult( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X )
% 1.96/2.35 , Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z
% 1.96/2.35 ) }.
% 1.96/2.35 { ! ab_semigroup_mult( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times(
% 1.96/2.35 X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), T )
% 1.96/2.35 = hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), Z ), T ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y ) ), Z ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Z ) ), hAPP(
% 1.96/2.35 nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y ), Z ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), Z ) ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y ) ), hAPP(
% 1.96/2.35 nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Z ) ) }.
% 1.96/2.35 { ! mult_zero( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ),
% 1.96/2.35 zero_zero( X ) ), Y ) = zero_zero( X ) }.
% 1.96/2.35 { ! mult_zero( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y )
% 1.96/2.35 , zero_zero( X ) ) = zero_zero( X ) }.
% 1.96/2.35 { ! ring_n68954251visors( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Y ), Z ) = zero_zero( X ), ti( X, Y ) = zero_zero( X )
% 1.96/2.35 , ti( X, Z ) = zero_zero( X ) }.
% 1.96/2.35 { ! ring_n68954251visors( X ), ! ti( X, Y ) = zero_zero( X ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) = zero_zero( X ) }.
% 1.96/2.35 { ! ring_n68954251visors( X ), ! ti( X, Z ) = zero_zero( X ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) = zero_zero( X ) }.
% 1.96/2.35 { ! no_zero_divisors( X ), ti( X, Y ) = zero_zero( X ), ti( X, Z ) =
% 1.96/2.35 zero_zero( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y )
% 1.96/2.35 , Z ) = zero_zero( X ) }.
% 1.96/2.35 { ! no_zero_divisors( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), times_times
% 1.96/2.35 ( X ), Y ), Z ) = zero_zero( X ), ti( X, Y ) = zero_zero( X ), ti( X, Z )
% 1.96/2.35 = zero_zero( X ) }.
% 1.96/2.35 { ! monoid_mult( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ),
% 1.96/2.35 one_one( X ) ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), one_one( X ) ), Y ) = ti( X, Y ) }.
% 1.96/2.35 { ! monoid_mult( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y
% 1.96/2.35 ), one_one( X ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.35 ), Y ), one_one( X ) ) = ti( X, Y ) }.
% 1.96/2.35 { ! ab_sem1668676832m_mult( X ), hBOOL( hAPP( fun( X, fun( X, X ) ), bool,
% 1.96/2.35 finite_comp_fun_idem( X, X ), times_times( X ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( sum_sum( Z, X ), bool ), bool, finite_finite_1(
% 1.96/2.35 sum_sum( Z, X ) ), hAPP( fun( X, bool ), fun( sum_sum( Z, X ), bool ),
% 1.96/2.35 hAPP( fun( Z, bool ), fun( fun( X, bool ), fun( sum_sum( Z, X ), bool ) )
% 1.96/2.35 , sum_Plus( Z, X ), T ), Y ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.35 finite_finite_1( X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( sum_sum( X, Z ), bool ), bool, finite_finite_1(
% 1.96/2.35 sum_sum( X, Z ) ), hAPP( fun( Z, bool ), fun( sum_sum( X, Z ), bool ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( fun( Z, bool ), fun( sum_sum( X, Z ), bool ) )
% 1.96/2.35 , sum_Plus( X, Z ), Y ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.35 finite_finite_1( X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), T ) ), hBOOL( hAPP(
% 1.96/2.35 fun( sum_sum( X, Z ), bool ), bool, finite_finite_1( sum_sum( X, Z ) ),
% 1.96/2.35 hAPP( fun( Z, bool ), fun( sum_sum( X, Z ), bool ), hAPP( fun( X, bool )
% 1.96/2.35 , fun( fun( Z, bool ), fun( sum_sum( X, Z ), bool ) ), sum_Plus( X, Z ),
% 1.96/2.35 Y ), T ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( sum_sum( X, Y ), bool ), bool, finite_finite_1(
% 1.96/2.35 sum_sum( X, Y ) ), hAPP( fun( Y, bool ), fun( sum_sum( X, Y ), bool ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( fun( Y, bool ), fun( sum_sum( X, Y ), bool ) )
% 1.96/2.35 , sum_Plus( X, Y ), Z ), T ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.35 finite_finite_1( X ), Z ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( sum_sum( X, Y ), bool ), bool, finite_finite_1(
% 1.96/2.35 sum_sum( X, Y ) ), hAPP( fun( Y, bool ), fun( sum_sum( X, Y ), bool ),
% 1.96/2.35 hAPP( fun( X, bool ), fun( fun( Y, bool ), fun( sum_sum( X, Y ), bool ) )
% 1.96/2.35 , sum_Plus( X, Y ), Z ), T ) ) ), hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( Y, bool ), bool, finite_finite_1( Y ), T ) ), hBOOL( hAPP(
% 1.96/2.35 fun( sum_sum( X, Y ), bool ), bool, finite_finite_1( sum_sum( X, Y ) ),
% 1.96/2.35 hAPP( fun( Y, bool ), fun( sum_sum( X, Y ), bool ), hAPP( fun( X, bool )
% 1.96/2.35 , fun( fun( Y, bool ), fun( sum_sum( X, Y ), bool ) ), sum_Plus( X, Y ),
% 1.96/2.35 Z ), T ) ) ) }.
% 1.96/2.35 { ! linord581940658strict( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.96/2.35 Y ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Z ) ) =
% 1.96/2.35 zero_zero( X ), ti( X, Y ) = zero_zero( X ) }.
% 1.96/2.35 { ! linord581940658strict( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.96/2.35 Y ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Z ) ) =
% 1.96/2.35 zero_zero( X ), ti( X, Z ) = zero_zero( X ) }.
% 1.96/2.35 { ! linord581940658strict( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z )
% 1.96/2.35 = zero_zero( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Y ) ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), Z ), Z ) ) = zero_zero( X ) }.
% 1.96/2.35 { ! semiri456707255roduct( X ), ti( X, Y ) = zero_zero( X ), ! ti( X, U ) =
% 1.96/2.35 ti( X, W ), ti( X, Z ) = ti( X, T ), ! hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.35 , plus_plus( X ), U ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X )
% 1.96/2.35 , Y ), Z ) ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), W ),
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), T ) ) }.
% 1.96/2.35 { ! ring( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), T ) = hAPP( X, X
% 1.96/2.35 , hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.35 , times_times( X ), U ), Z ) ), W ), ti( X, T ) = hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), U )
% 1.96/2.35 , Y ) ), Z ) ), W ) }.
% 1.96/2.35 { ! ring( X ), ! ti( X, T ) = hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.35 X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP
% 1.96/2.35 ( X, fun( X, X ), minus_minus( X ), U ), Y ) ), Z ) ), W ), hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ),
% 1.96/2.35 Z ) ), W ) }.
% 1.96/2.35 { ! ring( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), T ) = hAPP( X, X
% 1.96/2.35 , hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.35 , times_times( X ), U ), Z ) ), W ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP
% 1.96/2.35 ( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y ), U ) ), Z ) ), T ) =
% 1.96/2.35 ti( X, W ) }.
% 1.96/2.35 { ! ring( X ), ! hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.35 , X ), minus_minus( X ), Y ), U ) ), Z ) ), T ) = ti( X, W ), hAPP( X, X
% 1.96/2.35 , hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.35 , times_times( X ), Y ), Z ) ), T ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ),
% 1.96/2.35 Z ) ), W ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , Y ), Y ) = hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X
% 1.96/2.35 , X, hAPP( X, fun( X, X ), plus_plus( X ), one_one( X ) ), one_one( X ) )
% 1.96/2.35 ), Y ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , Y ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), plus_plus( X ), Z ), one_one( X ) ) ), Y ) }.
% 1.96/2.35 { ! comm_semiring_1( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.35 , hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), Z ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X,
% 1.96/2.35 fun( X, X ), plus_plus( X ), Y ), one_one( X ) ) ), Z ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y
% 1.96/2.35 ) = hAPP( nat, nat, suc, zero_zero( nat ) ), X = hAPP( nat, nat, suc,
% 1.96/2.35 zero_zero( nat ) ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y
% 1.96/2.35 ) = hAPP( nat, nat, suc, zero_zero( nat ) ), Y = hAPP( nat, nat, suc,
% 1.96/2.35 zero_zero( nat ) ) }.
% 1.96/2.35 { ! X = hAPP( nat, nat, suc, zero_zero( nat ) ), ! Y = hAPP( nat, nat, suc
% 1.96/2.35 , zero_zero( nat ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ) = hAPP( nat, nat, suc, zero_zero( nat ) ) }
% 1.96/2.35 .
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat
% 1.96/2.35 , nat, suc, X ) ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 plus_plus( nat ), Y ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), hAPP
% 1.96/2.35 ( nat, nat, suc, Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 plus_plus( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ) ) }.
% 1.96/2.35 { ! X = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X )
% 1.96/2.35 , Y ), Y = one_one( nat ), X = zero_zero( nat ) }.
% 1.96/2.35 { ! ab_semigroup_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y,
% 1.96/2.35 fun( fun( Y, bool ), bool ), member( Y ), T ), Z ) ), hAPP( fun( Y, bool
% 1.96/2.35 ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun
% 1.96/2.35 ( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ),
% 1.96/2.35 fun( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ),
% 1.96/2.35 times_times( X ) ), U ), W ), hAPP( fun( Y, bool ), fun( Y, bool ), hAPP
% 1.96/2.35 ( Y, fun( fun( Y, bool ), fun( Y, bool ) ), insert( Y ), T ), Z ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( Y, X, U, T ) )
% 1.96/2.35 , hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun(
% 1.96/2.35 Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ),
% 1.96/2.35 fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image
% 1.96/2.35 ( X, Y ), times_times( X ) ), U ), W ), Z ) ) }.
% 1.96/2.35 { hAPP( com, nat, size_size( com ), hAPP( pname, com, body, X ) ) =
% 1.96/2.35 zero_zero( nat ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun(
% 1.96/2.35 Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ),
% 1.96/2.35 hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun( Y, bool
% 1.96/2.35 ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) ), hAPP( fun( Y
% 1.96/2.35 , X ), fun( Y, X ), hAPP( fun( Y, fun( X, X ) ), fun( fun( Y, X ), fun( Y
% 1.96/2.35 , X ) ), combs( Y, X, X ), hAPP( fun( Y, X ), fun( Y, fun( X, X ) ), hAPP
% 1.96/2.35 ( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( Y, fun( X, X ) ) ), combb
% 1.96/2.35 ( X, fun( X, X ), Y ), times_times( X ) ), T ) ), U ) ), one_one( X ) ),
% 1.96/2.35 Z ) = hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( fun( Y,
% 1.96/2.35 bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X,
% 1.96/2.35 fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X )
% 1.96/2.35 , fun( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ),
% 1.96/2.35 times_times( X ) ), T ), one_one( X ) ), Z ) ), hAPP( fun( Y, bool ), X,
% 1.96/2.35 hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y
% 1.96/2.35 , bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X,
% 1.96/2.35 fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times( X )
% 1.96/2.35 ), U ), one_one( X ) ), Z ) ) }.
% 1.96/2.35 { hAPP( com, nat, size_size( com ), skip ) = zero_zero( nat ) }.
% 1.96/2.35 { ! Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), Y ), X ) = zero_zero( nat ) }.
% 1.96/2.35 { Y = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), Y ), X ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.96/2.35 , plus_plus( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 minus_minus( nat ), Y ), one_one( nat ) ) ), X ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.35 ( hAPP( fun( Z, bool ), bool, finite_finite_1( Z ), T ) ), hAPP( fun(
% 1.96/2.35 sum_sum( X, Z ), bool ), nat, finite_card( sum_sum( X, Z ) ), hAPP( fun(
% 1.96/2.35 Z, bool ), fun( sum_sum( X, Z ), bool ), hAPP( fun( X, bool ), fun( fun(
% 1.96/2.35 Z, bool ), fun( sum_sum( X, Z ), bool ) ), sum_Plus( X, Z ), Y ), T ) ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( fun
% 1.96/2.35 ( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( Z, bool ), nat,
% 1.96/2.35 finite_card( Z ), T ) ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ),
% 1.96/2.35 X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X
% 1.96/2.35 , fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, Y ), times_times( X ) ), U ), one_one( X ) ), Z ) )
% 1.96/2.35 , hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun(
% 1.96/2.35 Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ),
% 1.96/2.35 fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image
% 1.96/2.35 ( X, Y ), times_times( X ) ), U ), one_one( X ) ), T ) ) = hAPP( X, X,
% 1.96/2.35 hAPP( X, fun( X, X ), times_times( X ), hAPP( fun( Y, bool ), X, hAPP( X
% 1.96/2.35 , fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool
% 1.96/2.35 ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun(
% 1.96/2.35 fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) ), U
% 1.96/2.35 ), one_one( X ) ), hAPP( fun( Y, bool ), fun( Y, bool ), hAPP( fun( Y,
% 1.96/2.35 bool ), fun( fun( Y, bool ), fun( Y, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.35 Y, bool ) ), Z ), T ) ) ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y
% 1.96/2.35 , bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ),
% 1.96/2.35 hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun( Y, bool
% 1.96/2.35 ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) ), U ), one_one
% 1.96/2.35 ( X ) ), hAPP( fun( Y, bool ), fun( Y, bool ), hAPP( fun( Y, bool ), fun
% 1.96/2.35 ( fun( Y, bool ), fun( Y, bool ) ), semilattice_inf_inf( fun( Y, bool ) )
% 1.96/2.35 , Z ), T ) ) ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), T ) ), hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y,
% 1.96/2.35 fun( fun( Y, bool ), bool ), member( Y ), skol74( W, Y, Z, T, V0 ) ),
% 1.96/2.35 hAPP( fun( Y, bool ), fun( Y, bool ), hAPP( fun( Y, bool ), fun( fun( Y,
% 1.96/2.35 bool ), fun( Y, bool ) ), semilattice_inf_inf( fun( Y, bool ) ), Z ), T )
% 1.96/2.35 ) ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP(
% 1.96/2.35 fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X
% 1.96/2.35 ) ), fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, Y ), times_times( X ) ), U ), one_one( X ) ), hAPP
% 1.96/2.35 ( fun( Y, bool ), fun( Y, bool ), hAPP( fun( Y, bool ), fun( fun( Y, bool
% 1.96/2.35 ), fun( Y, bool ) ), semilattice_sup_sup( fun( Y, bool ) ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( fun( Y, bool )
% 1.96/2.35 , X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun(
% 1.96/2.35 fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun
% 1.96/2.35 ( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times
% 1.96/2.35 ( X ) ), U ), one_one( X ) ), Z ) ), hAPP( fun( Y, bool ), X, hAPP( X,
% 1.96/2.35 fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool )
% 1.96/2.35 , X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun
% 1.96/2.35 ( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) ), U )
% 1.96/2.35 , one_one( X ) ), T ) ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), T ) ), ! hAPP( Y, X, U, skol74( X, Y, Z, T, U ) ) =
% 1.96/2.35 one_one( X ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X )
% 1.96/2.35 , hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X,
% 1.96/2.35 fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, Y ), times_times( X ) ), U ), one_one( X ) ), hAPP
% 1.96/2.35 ( fun( Y, bool ), fun( Y, bool ), hAPP( fun( Y, bool ), fun( fun( Y, bool
% 1.96/2.35 ), fun( Y, bool ) ), semilattice_sup_sup( fun( Y, bool ) ), Z ), T ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( fun( Y, bool )
% 1.96/2.35 , X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun(
% 1.96/2.35 fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun
% 1.96/2.35 ( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times
% 1.96/2.35 ( X ) ), U ), one_one( X ) ), Z ) ), hAPP( fun( Y, bool ), X, hAPP( X,
% 1.96/2.35 fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool )
% 1.96/2.35 , X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun
% 1.96/2.35 ( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) ), U )
% 1.96/2.35 , one_one( X ) ), T ) ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y,
% 1.96/2.35 fun( fun( Y, bool ), bool ), member( Y ), skol75( U, Y, Z, W ) ), Z ) ),
% 1.96/2.35 hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y
% 1.96/2.35 , X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ),
% 1.96/2.35 fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image
% 1.96/2.35 ( X, Y ), times_times( X ) ), T ), one_one( X ) ), Z ) = one_one( X ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), ! hAPP( Y, X, T, skol75( X, Y, Z, T ) ) =
% 1.96/2.35 one_one( X ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X )
% 1.96/2.35 , hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X,
% 1.96/2.35 fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, Y ), times_times( X ) ), T ), one_one( X ) ), Z ) =
% 1.96/2.35 one_one( X ) }.
% 1.96/2.35 { ! ab_semigroup_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y,
% 1.96/2.35 fun( fun( Y, bool ), bool ), member( Y ), skol76( W, Y, Z, V0, V1 ) ), Z
% 1.96/2.35 ) ), hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP(
% 1.96/2.35 fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X
% 1.96/2.35 ) ), fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, Y ), times_times( X ) ), T ), V2 ), Z ) = hAPP( fun
% 1.96/2.35 ( Y, bool ), X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun
% 1.96/2.35 ( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y
% 1.96/2.35 , X ), fun( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ),
% 1.96/2.35 times_times( X ) ), U ), V2 ), Z ) }.
% 1.96/2.35 { ! ab_semigroup_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), ! hAPP( Y, X, T, skol76( X, Y, Z, T, U ) ) =
% 1.96/2.35 hAPP( Y, X, U, skol76( X, Y, Z, T, U ) ), hAPP( fun( Y, bool ), X, hAPP
% 1.96/2.35 ( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y,
% 1.96/2.35 bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun
% 1.96/2.35 ( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) )
% 1.96/2.35 , T ), W ), Z ) = hAPP( fun( Y, bool ), X, hAPP( X, fun( fun( Y, bool ),
% 1.96/2.35 X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ), hAPP( fun( X
% 1.96/2.35 , fun( X, X ) ), fun( fun( Y, X ), fun( X, fun( fun( Y, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, Y ), times_times( X ) ), U ), W ), Z ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool
% 1.96/2.35 ), fun( fun( X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X )
% 1.96/2.35 , Z ), T ) = bot_bot( fun( sum_sum( Y, X ), bool ) ), ti( fun( Y, bool )
% 1.96/2.35 , Z ) = bot_bot( fun( Y, bool ) ) }.
% 1.96/2.35 { ! hAPP( fun( X, bool ), fun( sum_sum( Y, X ), bool ), hAPP( fun( Y, bool
% 1.96/2.35 ), fun( fun( X, bool ), fun( sum_sum( Y, X ), bool ) ), sum_Plus( Y, X )
% 1.96/2.35 , Z ), T ) = bot_bot( fun( sum_sum( Y, X ), bool ) ), ti( fun( X, bool )
% 1.96/2.35 , T ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.35 { ! ti( fun( Y, bool ), Z ) = bot_bot( fun( Y, bool ) ), ! ti( fun( X, bool
% 1.96/2.35 ), T ) = bot_bot( fun( X, bool ) ), hAPP( fun( X, bool ), fun( sum_sum(
% 1.96/2.35 Y, X ), bool ), hAPP( fun( Y, bool ), fun( fun( X, bool ), fun( sum_sum(
% 1.96/2.35 Y, X ), bool ) ), sum_Plus( Y, X ), Z ), T ) = bot_bot( fun( sum_sum( Y,
% 1.96/2.35 X ), bool ) ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y )
% 1.96/2.35 = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y ), X
% 1.96/2.35 ) }.
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat
% 1.96/2.35 , nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y ) ), Z ) =
% 1.96/2.35 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y ), Z ) ) }
% 1.96/2.35 .
% 1.96/2.35 { hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.96/2.35 nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y ) ), hAPP(
% 1.96/2.35 nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat, nat,
% 1.96/2.35 hAPP( nat, fun( nat, nat ), times_times( nat ), Z ), Y ) ), T ) ) = hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat, nat
% 1.96/2.35 , hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat, nat, hAPP(
% 1.96/2.35 nat, fun( nat, nat ), plus_plus( nat ), X ), Z ) ), Y ) ), T ) }.
% 1.96/2.35 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y
% 1.96/2.35 ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X )
% 1.96/2.35 , Z ), X = zero_zero( nat ), Y = Z }.
% 1.96/2.35 { ! X = zero_zero( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.35 times_times( nat ), X ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.96/2.35 , times_times( nat ), X ), Z ) }.
% 1.96/2.35 { ! Y = Z, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.35 X ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat )
% 1.96/2.35 , X ), Z ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), alpha40( Y, Z, T, U, W, V0 ), hBOOL( hAPP(
% 1.96/2.35 fun( Y, bool ), bool, hAPP( Y, fun( fun( Y, bool ), bool ), member( Y ),
% 1.96/2.35 skol77( V3, Y, Z, V4, V5, V6, V7, V8, V9 ) ), Z ) ), hAPP( fun( Y, bool )
% 1.96/2.35 , X, hAPP( X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun(
% 1.96/2.35 fun( Y, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun
% 1.96/2.35 ( X, fun( fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times
% 1.96/2.35 ( X ) ), V2 ), V10 ), Z ) = hAPP( fun( T, bool ), X, hAPP( X, fun( fun( T
% 1.96/2.35 , bool ), X ), hAPP( fun( T, X ), fun( X, fun( fun( T, bool ), X ) ),
% 1.96/2.35 hAPP( fun( X, fun( X, X ) ), fun( fun( T, X ), fun( X, fun( fun( T, bool
% 1.96/2.35 ), X ) ) ), finite_fold_image( X, T ), times_times( X ) ), V1 ), V10 ),
% 1.96/2.35 V0 ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( fun( Y, bool ), bool,
% 1.96/2.35 finite_finite_1( Y ), Z ) ), alpha40( Y, Z, T, U, W, V0 ), ! hBOOL( hAPP
% 1.96/2.35 ( fun( T, bool ), bool, hAPP( T, fun( fun( T, bool ), bool ), member( T )
% 1.96/2.35 , hAPP( Y, T, U, skol77( X, Y, Z, T, U, W, V0, V1, V2 ) ) ), V0 ) ), !
% 1.96/2.35 hAPP( T, Y, W, hAPP( Y, T, U, skol77( X, Y, Z, T, U, W, V0, V1, V2 ) ) )
% 1.96/2.35 = ti( Y, skol77( X, Y, Z, T, U, W, V0, V1, V2 ) ), ! hAPP( T, X, V1, hAPP
% 1.96/2.35 ( Y, T, U, skol77( X, Y, Z, T, U, W, V0, V1, V2 ) ) ) = hAPP( Y, X, V2,
% 1.96/2.35 skol77( X, Y, Z, T, U, W, V0, V1, V2 ) ), hAPP( fun( Y, bool ), X, hAPP(
% 1.96/2.35 X, fun( fun( Y, bool ), X ), hAPP( fun( Y, X ), fun( X, fun( fun( Y, bool
% 1.96/2.35 ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( Y, X ), fun( X, fun(
% 1.96/2.35 fun( Y, bool ), X ) ) ), finite_fold_image( X, Y ), times_times( X ) ),
% 1.96/2.35 V2 ), V3 ), Z ) = hAPP( fun( T, bool ), X, hAPP( X, fun( fun( T, bool ),
% 1.96/2.35 X ), hAPP( fun( T, X ), fun( X, fun( fun( T, bool ), X ) ), hAPP( fun( X
% 1.96/2.35 , fun( X, X ) ), fun( fun( T, X ), fun( X, fun( fun( T, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, T ), times_times( X ) ), V1 ), V3 ), V0 ) }.
% 1.96/2.35 { ! alpha40( X, Y, Z, T, U, W ), hBOOL( hAPP( fun( Z, bool ), bool, hAPP( Z
% 1.96/2.35 , fun( fun( Z, bool ), bool ), member( Z ), skol78( V0, V1, Z, V2, V3, W
% 1.96/2.35 ) ), W ) ) }.
% 1.96/2.35 { ! alpha40( X, Y, Z, T, U, W ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP
% 1.96/2.35 ( X, fun( fun( X, bool ), bool ), member( X ), hAPP( Z, X, U, skol78( X,
% 1.96/2.35 Y, Z, T, U, W ) ) ), Y ) ), ! hAPP( X, Z, T, hAPP( Z, X, U, skol78( X, Y
% 1.96/2.35 , Z, T, U, W ) ) ) = ti( Z, skol78( X, Y, Z, T, U, W ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( Z, bool ), bool, hAPP( Z, fun( fun( Z, bool ), bool )
% 1.96/2.35 , member( Z ), V0 ), W ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.35 fun( fun( X, bool ), bool ), member( X ), hAPP( Z, X, U, V0 ) ), Y ) ),
% 1.96/2.35 alpha40( X, Y, Z, T, U, W ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( Z, bool ), bool, hAPP( Z, fun( fun( Z, bool ), bool )
% 1.96/2.35 , member( Z ), V0 ), W ) ), hAPP( X, Z, T, hAPP( Z, X, U, V0 ) ) = ti( Z
% 1.96/2.35 , V0 ), alpha40( X, Y, Z, T, U, W ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.35 , Y, Z ), Z ) ), alpha41( X, Y ), ! hBOOL( hAPP( fun( T, bool ), bool,
% 1.96/2.35 finite_finite_1( T ), U ) ), hBOOL( hAPP( fun( T, bool ), bool, hAPP( T,
% 1.96/2.35 fun( fun( T, bool ), bool ), member( T ), skol79( V1, V2, T, U, V3, V4 )
% 1.96/2.35 ), U ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), Y, hAPP( fun( T
% 1.96/2.35 , bool ), X, hAPP( X, fun( fun( T, bool ), X ), hAPP( fun( T, X ), fun( X
% 1.96/2.35 , fun( fun( T, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( T, X
% 1.96/2.35 ), fun( X, fun( fun( T, bool ), X ) ) ), finite_fold_image( X, T ),
% 1.96/2.35 times_times( X ) ), W ), Z ), U ) ), hAPP( fun( T, bool ), X, hAPP( X,
% 1.96/2.35 fun( fun( T, bool ), X ), hAPP( fun( T, X ), fun( X, fun( fun( T, bool )
% 1.96/2.35 , X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( T, X ), fun( X, fun( fun
% 1.96/2.35 ( T, bool ), X ) ) ), finite_fold_image( X, T ), times_times( X ) ), V0 )
% 1.96/2.35 , Z ), U ) ) ) }.
% 1.96/2.35 { ! comm_monoid_mult( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.35 , Y, Z ), Z ) ), alpha41( X, Y ), ! hBOOL( hAPP( fun( T, bool ), bool,
% 1.96/2.35 finite_finite_1( T ), U ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.35 bool ), Y, hAPP( T, X, W, skol79( X, Y, T, U, W, V0 ) ) ), hAPP( T, X, V0
% 1.96/2.35 , skol79( X, Y, T, U, W, V0 ) ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.35 X, bool ), Y, hAPP( fun( T, bool ), X, hAPP( X, fun( fun( T, bool ), X )
% 1.96/2.35 , hAPP( fun( T, X ), fun( X, fun( fun( T, bool ), X ) ), hAPP( fun( X,
% 1.96/2.35 fun( X, X ) ), fun( fun( T, X ), fun( X, fun( fun( T, bool ), X ) ) ),
% 1.96/2.35 finite_fold_image( X, T ), times_times( X ) ), W ), Z ), U ) ), hAPP( fun
% 1.96/2.35 ( T, bool ), X, hAPP( X, fun( fun( T, bool ), X ), hAPP( fun( T, X ), fun
% 1.96/2.35 ( X, fun( fun( T, bool ), X ) ), hAPP( fun( X, fun( X, X ) ), fun( fun( T
% 1.96/2.35 , X ), fun( X, fun( fun( T, bool ), X ) ) ), finite_fold_image( X, T ),
% 1.96/2.35 times_times( X ) ), V0 ), Z ), U ) ) ) }.
% 1.96/2.35 { ! alpha41( X, Y ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), Y,
% 1.96/2.35 skol80( X, Y ) ), skol134( X, Y ) ) ) }.
% 1.96/2.35 { ! alpha41( X, Y ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), Y,
% 1.96/2.35 skol125( X, Y ) ), skol135( X, Y ) ) ) }.
% 1.96/2.35 { ! alpha41( X, Y ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), Y,
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), skol80( X, Y ) ),
% 1.96/2.35 skol125( X, Y ) ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ),
% 1.96/2.35 skol134( X, Y ) ), skol135( X, Y ) ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), Y, Z ), U ) ), ! hBOOL(
% 1.96/2.35 hAPP( X, bool, hAPP( X, fun( X, bool ), Y, T ), W ) ), hBOOL( hAPP( X,
% 1.96/2.35 bool, hAPP( X, fun( X, bool ), Y, hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), Z ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 times_times( X ), U ), W ) ) ), alpha41( X, Y ) }.
% 1.96/2.35 { ! ab_semigroup_mult( X ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.35 finite_finite_1( X ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X,
% 1.96/2.35 bool ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z )
% 1.96/2.35 ), ti( fun( X, bool ), Z ) = bot_bot( fun( X, bool ) ), ! hAPP( fun( X,
% 1.96/2.35 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.35 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = bot_bot(
% 1.96/2.35 fun( X, bool ) ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ),
% 1.96/2.35 fun( fun( X, bool ), X ), finite_fold1( X ), times_times( X ) ), hAPP(
% 1.96/2.35 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.35 , fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) =
% 1.96/2.35 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( fun( X, bool )
% 1.96/2.35 , X, hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool ), X ), finite_fold1
% 1.96/2.35 ( X ), times_times( X ) ), Y ) ), hAPP( fun( X, bool ), X, hAPP( fun( X,
% 1.96/2.35 fun( X, X ) ), fun( fun( X, bool ), X ), finite_fold1( X ), times_times(
% 1.96/2.35 X ) ), Z ) ) }.
% 1.96/2.35 { hAPP( com, nat, size_size( com ), hAPP( com, com, hAPP( com, fun( com,
% 1.96/2.35 com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ),
% 1.96/2.35 Y ), Z ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat )
% 1.96/2.35 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( com
% 1.96/2.35 , nat, size_size( com ), Y ) ), hAPP( com, nat, size_size( com ), Z ) ) )
% 1.96/2.35 , hAPP( nat, nat, suc, zero_zero( nat ) ) ) }.
% 1.96/2.35 { hAPP( com, nat, com_size, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.96/2.35 hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ), Y ), Z
% 1.96/2.35 ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.96/2.35 ( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( com, nat
% 1.96/2.35 , com_size, Y ) ), hAPP( com, nat, com_size, Z ) ) ), hAPP( nat, nat, suc
% 1.96/2.35 , zero_zero( nat ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.35 hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP(
% 1.96/2.35 fun( X, bool ), nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.35 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.35 minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.35 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.35 bot_bot( fun( X, bool ) ) ) ) ) ), hAPP( fun( X, bool ), nat, finite_card
% 1.96/2.35 ( X ), Y ) ) ) }.
% 1.96/2.35 { ! preorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Y ) ) }.
% 1.96/2.35 { hBOOL( hAPP( fun( nat, bool ), bool, finite_finite_1( nat ), hAPP( fun(
% 1.96/2.35 nat, bool ), fun( nat, bool ), collect( nat ), hAPP( nat, fun( nat, bool
% 1.96/2.35 ), hAPP( fun( nat, fun( nat, bool ) ), fun( nat, fun( nat, bool ) ),
% 1.96/2.35 combc( nat, nat, bool ), ord_less_eq( nat ) ), X ) ) ) ) }.
% 1.96/2.35 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.35 zero_zero( nat ) ), X ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.35 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.35 state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.96/2.35 hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ), Y ), Z
% 1.96/2.35 ) ), T ), U ), W ) ), alpha42( X, Y, T, U, W ), ! hBOOL( hAPP( state,
% 1.96/2.35 bool, X, T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.35 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.35 state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com ),
% 1.96/2.35 hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ), Y ), Z
% 1.96/2.35 ) ), T ), U ), W ) ), alpha42( X, Y, T, U, W ), hBOOL( hAPP( state, bool
% 1.96/2.35 , hAPP( nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool
% 1.96/2.35 ) ), hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z )
% 1.96/2.35 , T ), U ), W ) ) }.
% 1.96/2.35 { ! alpha42( X, Y, Z, T, U ), hBOOL( hAPP( state, bool, X, Z ) ) }.
% 1.96/2.35 { ! alpha42( X, Y, Z, T, U ), hBOOL( hAPP( state, bool, hAPP( nat, fun(
% 1.96/2.35 state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com,
% 1.96/2.35 fun( state, fun( nat, fun( state, bool ) ) ), evaln, Y ), Z ), T ), U ) )
% 1.96/2.35 }.
% 1.96/2.35 { ! hBOOL( hAPP( state, bool, X, Z ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.96/2.35 nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ),
% 1.96/2.35 hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Y ), Z )
% 1.96/2.35 , T ), U ) ), alpha42( X, Y, Z, T, U ) }.
% 1.96/2.35 { ! hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.96/2.35 nat, fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ),
% 1.96/2.35 hAPP( com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z ), Y )
% 1.96/2.35 , T ), U ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ),
% 1.96/2.35 hAPP( state, fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun(
% 1.96/2.35 nat, fun( state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com,
% 1.96/2.35 com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ),
% 1.96/2.35 Z ), W ) ), Y ), T ), U ) ) }.
% 1.96/2.35 { hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP( nat
% 1.96/2.35 , fun( state, bool ), hAPP( state, fun( nat, fun( state, bool ) ), hAPP(
% 1.96/2.35 com, fun( state, fun( nat, fun( state, bool ) ) ), evaln, Z ), Y ), T ),
% 1.96/2.35 U ) ), hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP(
% 1.96/2.35 state, fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat,
% 1.96/2.35 fun( state, bool ) ) ), evaln, hAPP( com, com, hAPP( com, fun( com, com )
% 1.96/2.35 , hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ), W ),
% 1.96/2.35 Z ) ), Y ), T ), U ) ) }.
% 1.96/2.35 { hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.96/2.35 state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ),
% 1.96/2.35 evalc, Z ), Y ), T ) ), hBOOL( hAPP( state, bool, hAPP( state, fun( state
% 1.96/2.35 , bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP( com,
% 1.96/2.35 com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ), fun( com, fun
% 1.96/2.35 ( com, com ) ), cond, X ), U ), Z ) ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( state, bool, X, Y ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.96/2.35 state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ),
% 1.96/2.35 evalc, Z ), Y ), T ) ), hBOOL( hAPP( state, bool, hAPP( state, fun( state
% 1.96/2.35 , bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc, hAPP( com,
% 1.96/2.35 com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ), fun( com, fun
% 1.96/2.35 ( com, com ) ), cond, X ), Z ), U ) ), Y ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.35 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( com, fun(
% 1.96/2.35 com, com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond,
% 1.96/2.35 X ), Y ), Z ) ), T ), U ) ), alpha43( X, Y, T, U ), ! hBOOL( hAPP( state
% 1.96/2.35 , bool, X, T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( state, bool, hAPP( state, fun( state, bool ), hAPP( com,
% 1.96/2.35 fun( state, fun( state, bool ) ), evalc, hAPP( com, com, hAPP( com, fun(
% 1.96/2.35 com, com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond,
% 1.96/2.35 X ), Y ), Z ) ), T ), U ) ), alpha43( X, Y, T, U ), hBOOL( hAPP( state,
% 1.96/2.35 bool, hAPP( state, fun( state, bool ), hAPP( com, fun( state, fun( state
% 1.96/2.35 , bool ) ), evalc, Z ), T ), U ) ) }.
% 1.96/2.35 { ! alpha43( X, Y, Z, T ), hBOOL( hAPP( state, bool, X, Z ) ) }.
% 1.96/2.35 { ! alpha43( X, Y, Z, T ), hBOOL( hAPP( state, bool, hAPP( state, fun(
% 1.96/2.35 state, bool ), hAPP( com, fun( state, fun( state, bool ) ), evalc, Y ), Z
% 1.96/2.35 ), T ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( state, bool, X, Z ) ), ! hBOOL( hAPP( state, bool, hAPP(
% 1.96/2.35 state, fun( state, bool ), hAPP( com, fun( state, fun( state, bool ) ),
% 1.96/2.35 evalc, Y ), Z ), T ) ), alpha43( X, Y, Z, T ) }.
% 1.96/2.35 { ! hAPP( pname, com, body, X ) = hAPP( com, com, hAPP( com, fun( com, com
% 1.96/2.35 ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, Y ), Z )
% 1.96/2.35 , T ) }.
% 1.96/2.35 { ! hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ),
% 1.96/2.35 fun( com, fun( com, com ) ), cond, X ), Y ), Z ) = hAPP( pname, com, body
% 1.96/2.35 , T ) }.
% 1.96/2.35 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.35 ), ord_less_eq( X ), Z ), Y ) ) }.
% 1.96/2.35 { ! ord( X ), ! hBOOL( hAPP( fun( Y, X ), bool, hAPP( fun( Y, X ), fun( fun
% 1.96/2.35 ( Y, X ), bool ), ord_less_eq( fun( Y, X ) ), Z ), T ) ), hBOOL( hAPP( X
% 1.96/2.35 , bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( Y, X, Z, U ) ),
% 1.96/2.35 hAPP( Y, X, T, U ) ) ) }.
% 1.96/2.35 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.35 bool ), ord_less_eq( X ), T ), Y ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.35 ( X, bool ), ord_less_eq( X ), T ), Z ) ) }.
% 1.96/2.35 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.35 bool ), ord_less_eq( X ), Z ), Y ) ), ti( X, Z ) = ti( X, Y ) }.
% 1.96/2.35 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.35 bool ), ord_less_eq( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.35 ( X, bool ), ord_less_eq( X ), Y ), T ) ) }.
% 1.96/2.35 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.35 bool ), ord_less_eq( X ), Z ), Y ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), ! ti( X, Y ) = ti( X, T ), hBOOL( hAPP( X,
% 1.96/2.35 bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), T ), Z ) ) }.
% 1.96/2.35 { ! ord( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq
% 1.96/2.35 ( X ), Y ), Z ) ), ! Z = T, hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.35 , ord_less_eq( X ), Y ), T ) ) }.
% 1.96/2.35 { ! order( X ), ! ti( X, Y ) = ti( X, Z ), ! hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.35 , fun( X, bool ), ord_less_eq( X ), T ), Z ) ), hBOOL( hAPP( X, bool,
% 1.96/2.35 hAPP( X, fun( X, bool ), ord_less_eq( X ), T ), Y ) ) }.
% 1.96/2.35 { ! ord( X ), ! Y = Z, ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.35 ), ord_less_eq( X ), Y ), T ) ) }.
% 1.96/2.35 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.35 bool ), ord_less_eq( X ), Z ), Y ) ), ti( X, Z ) = ti( X, Y ) }.
% 1.96/2.35 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), ! ti( X, Z ) = ti( X, Y ), hBOOL( hAPP( X,
% 1.96/2.35 bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), Y ) ) }.
% 1.96/2.35 { ! ord( X ), ! hBOOL( hAPP( fun( Y, X ), bool, hAPP( fun( Y, X ), fun( fun
% 1.96/2.35 ( Y, X ), bool ), ord_less_eq( fun( Y, X ) ), Z ), T ) ), hBOOL( hAPP( X
% 1.96/2.35 , bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( Y, X, Z, U ) ),
% 1.96/2.35 hAPP( Y, X, T, U ) ) ) }.
% 1.96/2.35 { ! preorder( X ), ! Y = Z, hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! order( X ), ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.35 fun( X, bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! order( X ), ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.35 fun( X, bool ), ord_less_eq( X ), Z ), Y ) ) }.
% 1.96/2.35 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.35 bool ), ord_less_eq( X ), Z ), Y ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.35 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.35 ), ord_less_eq( X ), Z ), Y ) ) }.
% 1.96/2.35 { ! ord( X ), ! hBOOL( hAPP( fun( Y, X ), bool, hAPP( fun( Y, X ), fun( fun
% 1.96/2.35 ( Y, X ), bool ), ord_less_eq( fun( Y, X ) ), Z ), T ) ), hBOOL( hAPP( X
% 1.96/2.35 , bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( Y, X, Z, U ) ),
% 1.96/2.35 hAPP( Y, X, T, U ) ) ) }.
% 1.96/2.35 { ! ord( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq
% 1.96/2.35 ( X ), hAPP( Y, X, Z, skol81( X, Y, Z, T ) ) ), hAPP( Y, X, T, skol81( X
% 1.96/2.35 , Y, Z, T ) ) ) ), hBOOL( hAPP( fun( Y, X ), bool, hAPP( fun( Y, X ), fun
% 1.96/2.35 ( fun( Y, X ), bool ), ord_less_eq( fun( Y, X ) ), Z ), T ) ) }.
% 1.96/2.35 { ! hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ),
% 1.96/2.35 fun( com, fun( com, com ) ), cond, X ), Y ), Z ) = hAPP( com, com, hAPP(
% 1.96/2.35 com, fun( com, com ), hAPP( fun( state, bool ), fun( com, fun( com, com )
% 1.96/2.35 ), cond, T ), U ), W ), X = T }.
% 1.96/2.35 { ! hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ),
% 1.96/2.35 fun( com, fun( com, com ) ), cond, X ), Y ), Z ) = hAPP( com, com, hAPP(
% 1.96/2.35 com, fun( com, com ), hAPP( fun( state, bool ), fun( com, fun( com, com )
% 1.96/2.35 ), cond, T ), U ), W ), alpha12( Y, Z, U, W ) }.
% 1.96/2.35 { ! X = T, ! alpha12( Y, Z, U, W ), hAPP( com, com, hAPP( com, fun( com,
% 1.96/2.35 com ), hAPP( fun( state, bool ), fun( com, fun( com, com ) ), cond, X ),
% 1.96/2.35 Y ), Z ) = hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state,
% 1.96/2.35 bool ), fun( com, fun( com, com ) ), cond, T ), U ), W ) }.
% 1.96/2.35 { ! alpha12( X, Y, Z, T ), X = Z }.
% 1.96/2.35 { ! alpha12( X, Y, Z, T ), Y = T }.
% 1.96/2.35 { ! X = Z, ! Y = T, alpha12( X, Y, Z, T ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.35 ord_less_eq( nat ), Y ), X ) ), X = Y }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.35 ord_less_eq( nat ), Y ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun(
% 1.96/2.35 nat, bool ), ord_less_eq( nat ), X ), Z ) ) }.
% 1.96/2.35 { ! X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq
% 1.96/2.35 ( nat ), X ), Y ) ) }.
% 1.96/2.35 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.35 X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.35 ord_less_eq( nat ), Y ), X ) ) }.
% 1.96/2.35 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.35 X ), X ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , hAPP( nat, nat, suc, X ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.35 fun( nat, bool ), ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , X ), hAPP( nat, nat, suc, Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.35 fun( nat, bool ), ord_less_eq( nat ), X ), Y ) ), X = hAPP( nat, nat, suc
% 1.96/2.35 , Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.35 ord_less_eq( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , hAPP( nat, nat, suc, X ) ), hAPP( nat, nat, suc, Y ) ) ), hBOOL( hAPP(
% 1.96/2.35 nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), X ), Y ) ) }
% 1.96/2.35 .
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.35 ord_less_eq( nat ), hAPP( nat, nat, suc, X ) ), hAPP( nat, nat, suc, Y )
% 1.96/2.35 ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , X ), hAPP( nat, nat, suc, Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.35 fun( nat, bool ), ord_less_eq( nat ), X ), Y ) ), X = hAPP( nat, nat, suc
% 1.96/2.35 , Y ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.35 ord_less_eq( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.35 { ! X = hAPP( nat, nat, suc, Y ), hBOOL( hAPP( nat, bool, hAPP( nat, fun(
% 1.96/2.35 nat, bool ), ord_less_eq( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.35 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.35 X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.35 ord_less_eq( nat ), hAPP( nat, nat, suc, Y ) ), X ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , hAPP( nat, nat, suc, Y ) ), X ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat
% 1.96/2.35 , fun( nat, bool ), ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , hAPP( nat, nat, suc, X ) ), X ) ) }.
% 1.96/2.35 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.35 , X ), zero_zero( nat ) ) ), X = zero_zero( nat ) }.
% 1.96/2.35 { ! X = zero_zero( nat ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool
% 1.96/2.35 ), ord_less_eq( nat ), X ), zero_zero( nat ) ) ) }.
% 1.96/2.35 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.35 zero_zero( nat ) ), X ) ) }.
% 1.96/2.35 { ! lattice( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf(
% 1.96/2.35 X ), Y ), Z ) ), Y ) ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf(
% 1.96/2.35 X ), Y ), Z ) ), Y ) ) }.
% 1.96/2.35 { ! lattice( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf(
% 1.96/2.35 X ), Y ), Z ) ), Z ) ) }.
% 1.96/2.35 { ! semilattice_inf( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf(
% 1.96/2.35 X ), Y ), Z ) ), Z ) ) }.
% 1.96/2.35 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.35 ord_less_eq( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) = ti( X, Y ) }.
% 1.96/2.35 { ! semilattice_inf( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.35 semilattice_inf_inf( X ), Y ), Z ) = ti( X, Y ), hBOOL( hAPP( X, bool,
% 1.96/2.35 hAPP( X, fun( X, bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.35 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), T ) ) ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), T ) ) ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), Y ), T ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Y ), T ) ), Z ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), T ), Y ) ), Z ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Y ), Z ) = ti( X, Y ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), Y ) = ti( X, Y ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), U ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), U ) ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), T ) ) ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_inf_inf( X ), Z ), T ) ) ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), Y ), T ) ) }.
% 1.96/2.36 { ! lattice( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! lattice( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), Z ) = ti( X, Z ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), Z ) = ti( X, Z ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup(
% 1.96/2.36 X ), Y ), Z ) ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), T ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup(
% 1.96/2.36 X ), Y ), Z ) ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), T ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), T ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), Z ) ), T ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), Z ) = ti( X, Z ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Z ), Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), T ) ), Z ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), T ) ), Z ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), U ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Z ), U ) ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup(
% 1.96/2.36 X ), Y ), Z ) ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), T ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup(
% 1.96/2.36 X ), Y ), Z ) ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), T ) ) }.
% 1.96/2.36 { ! ordered_ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), T ), U ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), U ) ) }.
% 1.96/2.36 { ! ordered_ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), T ), U ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), T ), U ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state,
% 1.96/2.36 fun( nat, fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun(
% 1.96/2.36 state, bool ) ) ), evaln, X ), Y ), Z ), T ) ), ! hBOOL( hAPP( nat, bool
% 1.96/2.36 , hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), Z ), U ) ), hBOOL(
% 1.96/2.36 hAPP( state, bool, hAPP( nat, fun( state, bool ), hAPP( state, fun( nat,
% 1.96/2.36 fun( state, bool ) ), hAPP( com, fun( state, fun( nat, fun( state, bool )
% 1.96/2.36 ) ), evaln, X ), Y ), U ), T ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y )
% 1.96/2.36 ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), Z ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), minus_minus( nat ), Z ), X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), minus_minus( nat ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), Y ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat
% 1.96/2.36 ), Y ), X ) ) = X }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Z ) ), ! hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), minus_minus( nat ), Y ), X ) = hAPP( nat, nat, hAPP( nat, fun( nat
% 1.96/2.36 , nat ), minus_minus( nat ), Z ), X ), Y = Z }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Z ) ), ! Y = Z, hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.36 nat, nat ), minus_minus( nat ), Y ), X ) = hAPP( nat, nat, hAPP( nat, fun
% 1.96/2.36 ( nat, nat ), minus_minus( nat ), Z ), X ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), minus_minus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), Y ), X ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), minus_minus( nat ), Z ), X ) ) = hAPP( nat, nat, hAPP( nat, fun( nat
% 1.96/2.36 , nat ), minus_minus( nat ), Y ), Z ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Z ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), minus_minus( nat ), Y ), X ) ), hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.36 nat, nat ), minus_minus( nat ), Z ), X ) ) ), hBOOL( hAPP( nat, bool,
% 1.96/2.36 hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Z ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less_eq( nat ), Y ), Z ) ), hBOOL( hAPP( nat, bool,
% 1.96/2.36 hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP( nat, nat, hAPP(
% 1.96/2.36 nat, fun( nat, nat ), minus_minus( nat ), Y ), X ) ), hAPP( nat, nat,
% 1.96/2.36 hAPP( nat, fun( nat, nat ), minus_minus( nat ), Z ), X ) ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.36 ), T ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), T ), Z
% 1.96/2.36 ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 Y ), Z ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.36 ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T
% 1.96/2.36 ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 Y ), Z ) ) }.
% 1.96/2.36 { ! ordere779506340up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), T ), U ) ), hBOOL( hAPP( X, bool, hAPP
% 1.96/2.36 ( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.36 X ), Z ), U ) ) ) }.
% 1.96/2.36 { ! ordere779506340up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), T ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.36 X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! ordere779506340up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.36 X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.36 ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), T
% 1.96/2.36 ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 Z ), T ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.36 X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.36 ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), T ), Z
% 1.96/2.36 ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 Y ), T ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.36 X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.96/2.36 ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.96/2.36 ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z )
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z ), X )
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), Z ), T ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun(
% 1.96/2.36 nat, bool ), ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), plus_plus( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), plus_plus( nat ), Y ), T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y )
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z
% 1.96/2.36 ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq
% 1.96/2.36 ( nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , Y ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), X ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), Y = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), X ), skol82( X, Y ) ) }.
% 1.96/2.36 { ! Y = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ),
% 1.96/2.36 Z ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq(
% 1.96/2.36 nat ), X ), Y ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.36 X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y
% 1.96/2.36 ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.36 X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), X
% 1.96/2.36 ) ) ) }.
% 1.96/2.36 { hAPP( fun( nat, bool ), nat, finite_card( nat ), hAPP( fun( nat, bool ),
% 1.96/2.36 fun( nat, bool ), collect( nat ), hAPP( nat, fun( nat, bool ), hAPP( fun
% 1.96/2.36 ( nat, fun( nat, bool ) ), fun( nat, fun( nat, bool ) ), combc( nat, nat
% 1.96/2.36 , bool ), ord_less_eq( nat ) ), X ) ) ) = hAPP( nat, nat, suc, X ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, X ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( fun(
% 1.96/2.36 nat, bool ), fun( nat, bool ), hAPP( bool, fun( fun( nat, bool ), fun(
% 1.96/2.36 nat, bool ) ), nat_case( bool ), fFalse ), hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( fun( nat, bool ), fun( nat, bool ), hAPP
% 1.96/2.36 ( bool, fun( fun( nat, bool ), fun( nat, bool ) ), nat_case( bool ),
% 1.96/2.36 fFalse ), hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), X ) ), Y ) ),
% 1.96/2.36 hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.36 hAPP( nat, nat, suc, X ) ), Y ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.36 finite_finite_1( X ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X,
% 1.96/2.36 bool ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X
% 1.96/2.36 ), Z ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun(
% 1.96/2.36 X, bool ), X ), finite_fold1( X ), semilattice_inf_inf( X ) ), Y ) ) ), !
% 1.96/2.36 hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.36 , member( X ), T ), Y ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), Z ), T ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.36 finite_finite_1( X ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X,
% 1.96/2.36 bool ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool )
% 1.96/2.36 , bool ), member( X ), skol83( X, Y, T ) ), Y ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), hAPP( fun( X, bool ), X,
% 1.96/2.36 hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool ), X ), finite_fold1( X )
% 1.96/2.36 , semilattice_inf_inf( X ) ), Y ) ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.36 finite_finite_1( X ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X,
% 1.96/2.36 bool ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X
% 1.96/2.36 ), Z ), skol83( X, Y, Z ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Z ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun
% 1.96/2.36 ( X, X ) ), fun( fun( X, bool ), X ), finite_fold1( X ),
% 1.96/2.36 semilattice_inf_inf( X ) ), Y ) ) ) }.
% 1.96/2.36 { ! bot( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq
% 1.96/2.36 ( X ), Y ), bot_bot( X ) ) ), ti( X, Y ) = bot_bot( X ) }.
% 1.96/2.36 { ! bot( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq
% 1.96/2.36 ( X ), Y ), bot_bot( X ) ) ), ti( X, Y ) = bot_bot( X ) }.
% 1.96/2.36 { ! bot( X ), ! ti( X, Y ) = bot_bot( X ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), Y ), bot_bot( X ) ) ) }.
% 1.96/2.36 { ! bot( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X
% 1.96/2.36 ), bot_bot( X ) ), Y ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.36 finite_finite_1( X ), Y ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X
% 1.96/2.36 , fun( fun( X, bool ), bool ), member( X ), Z ), Y ) ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( fun( X, bool ), X
% 1.96/2.36 , hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool ), X ), finite_fold1( X
% 1.96/2.36 ), semilattice_inf_inf( X ) ), Y ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), Z ), T ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun(
% 1.96/2.36 nat, bool ), ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), times_times( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), times_times( nat ), Y ), T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), Z ), X ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), times_times( nat ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), times_times( nat ), Y ), Z ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.36 X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), X
% 1.96/2.36 ) ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ),
% 1.96/2.36 X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X )
% 1.96/2.36 , X ) ) ) }.
% 1.96/2.36 { ! hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ),
% 1.96/2.36 fun( com, fun( com, com ) ), cond, X ), Y ), Z ) = hAPP( com, com, hAPP(
% 1.96/2.36 fun( state, bool ), fun( com, com ), while, T ), U ) }.
% 1.96/2.36 { ! hAPP( com, com, hAPP( fun( state, bool ), fun( com, com ), while, X ),
% 1.96/2.36 Y ) = hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state, bool
% 1.96/2.36 ), fun( com, fun( com, com ) ), cond, Z ), T ), U ) }.
% 1.96/2.36 { ! hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ),
% 1.96/2.36 fun( com, fun( com, com ) ), cond, X ), Y ), Z ) = hAPP( com, com, hAPP(
% 1.96/2.36 com, fun( com, com ), semi, T ), U ) }.
% 1.96/2.36 { ! hAPP( com, com, hAPP( com, fun( com, com ), semi, X ), Y ) = hAPP( com
% 1.96/2.36 , com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ), fun( com,
% 1.96/2.36 fun( com, com ) ), cond, Z ), T ), U ) }.
% 1.96/2.36 { ! hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state, bool ),
% 1.96/2.36 fun( com, fun( com, com ) ), cond, X ), Y ), Z ) = skip }.
% 1.96/2.36 { ! skip = hAPP( com, com, hAPP( com, fun( com, com ), hAPP( fun( state,
% 1.96/2.36 bool ), fun( com, fun( com, com ) ), cond, X ), Y ), Z ) }.
% 1.96/2.36 { ! linord219039673up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.36 X ), plus_plus( X ), Y ), Y ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ) }.
% 1.96/2.36 { ! linord219039673up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), hAPP( X, X,
% 1.96/2.36 hAPP( X, fun( X, X ), plus_plus( X ), Y ), Y ) ) ) }.
% 1.96/2.36 { ! linord219039673up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.36 ), Y ), Y ) ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less_eq( X ), Y ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linord219039673up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), plus_plus( X ), Y ), Y ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ),
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ),
% 1.96/2.36 Z ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ), !
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) = zero_zero( X
% 1.96/2.36 ), ti( X, Y ) = zero_zero( X ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ), !
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) = zero_zero( X
% 1.96/2.36 ), ti( X, Z ) = zero_zero( X ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ), !
% 1.96/2.36 ti( X, Y ) = zero_zero( X ), ! ti( X, Z ) = zero_zero( X ), hAPP( X, X,
% 1.96/2.36 hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) = zero_zero( X ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), T ) ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), hAPP( X, X, hAPP( X
% 1.96/2.36 , fun( X, X ), plus_plus( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), T ) ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), hAPP( X, X, hAPP( X
% 1.96/2.36 , fun( X, X ), plus_plus( X ), T ), Y ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), zero_zero( X ) ) ),
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X
% 1.96/2.36 , X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), zero_zero( X ) ) )
% 1.96/2.36 }.
% 1.96/2.36 { ! ordere453448008miring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), Y ), zero_zero( X ) ) ),
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X
% 1.96/2.36 , X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y ) ), zero_zero( X ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! ordere453448008miring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Z ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ),
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X
% 1.96/2.36 , X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y ) ), zero_zero( X ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP(
% 1.96/2.36 X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), hBOOL( hAPP
% 1.96/2.36 ( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool, hAPP(
% 1.96/2.36 X, fun( X, bool ), ord_less_eq( X ), Y ), zero_zero( X ) ) ), hBOOL( hAPP
% 1.96/2.36 ( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! ordered_semiring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), U ) ), ! hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), T
% 1.96/2.36 ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), T ) ), hAPP( X,
% 1.96/2.36 X, hAPP( X, fun( X, X ), times_times( X ), Z ), U ) ) ) }.
% 1.96/2.36 { ! ordered_semiring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), U ) ), ! hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP
% 1.96/2.36 ( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), T
% 1.96/2.36 ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), T ) ), hAPP( X,
% 1.96/2.36 X, hAPP( X, fun( X, X ), times_times( X ), Z ), U ) ) ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), times_times( X ), T ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), T ), Y ) ) ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), T ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), times_times( X ), Z ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! ordere1490568538miring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), T ) ), hBOOL( hAPP( X
% 1.96/2.36 , bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X,
% 1.96/2.36 fun( X, X ), times_times( X ), T ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), times_times( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! ordered_semiring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), T ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), times_times( X ), T ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! ordered_semiring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), T ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), times_times( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool, hAPP(
% 1.96/2.36 X, fun( X, bool ), ord_less_eq( X ), Z ), zero_zero( X ) ) ), hBOOL( hAPP
% 1.96/2.36 ( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! ordere453448008miring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ),
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X
% 1.96/2.36 , X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), zero_zero( X ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! ordere453448008miring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), zero_zero( X ) ) ),
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X
% 1.96/2.36 , X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y ) ), zero_zero( X ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! ordere453448008miring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), zero_zero( X ) ) ),
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X
% 1.96/2.36 , X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), zero_zero( X ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! ordere453448008miring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ),
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y )
% 1.96/2.36 , Z ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times(
% 1.96/2.36 X ), Y ), Z ) ), zero_zero( X ) ) ), alpha13( X, Y, Z ), alpha27( X, Y, Z
% 1.96/2.36 ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! alpha13( X, Y, Z ), hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.36 , X ), times_times( X ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! alpha27( X, Y, Z ), hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.36 , X ), times_times( X ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! alpha27( X, Y, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! alpha27( X, Y, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), Y ),
% 1.96/2.36 zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), Z ) ), alpha27( X, Y, Z ) }.
% 1.96/2.36 { ! alpha13( X, Y, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), Y ) ) }.
% 1.96/2.36 { ! alpha13( X, Y, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), Z ), zero_zero( X ) ) ), alpha13( X, Y, Z ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.36 X ), times_times( X ), Y ), Z ) ) ), alpha14( X, Y, Z ), alpha28( X, Y, Z
% 1.96/2.36 ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! alpha14( X, Y, Z ), hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), hAPP( X, X
% 1.96/2.36 , hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! alpha28( X, Y, Z ), hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), hAPP( X, X
% 1.96/2.36 , hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! alpha28( X, Y, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! alpha28( X, Y, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), Y ),
% 1.96/2.36 zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), zero_zero( X ) ) ), alpha28( X, Y, Z ) }.
% 1.96/2.36 { ! alpha14( X, Y, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), Y ) ) }.
% 1.96/2.36 { ! alpha14( X, Y, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), zero_zero( X ) ), Z ) ), alpha14( X, Y, Z ) }.
% 1.96/2.36 { ! linordered_ring( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), Y ) ) ) }.
% 1.96/2.36 { ! ordered_ab_group_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! ordered_ab_group_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus(
% 1.96/2.36 X ), Y ), Z ) ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.36 X, bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linordered_semidom( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), one_one( X ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linordered_semidom( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), zero_zero( X ) ), one_one( X ) ) ) }.
% 1.96/2.36 { ! lattice( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup(
% 1.96/2.36 X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), Z )
% 1.96/2.36 ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ), T )
% 1.96/2.36 ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Y ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Z ), T ) ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! lattice( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup(
% 1.96/2.36 X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ), Z )
% 1.96/2.36 , T ) ) ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), Z ) ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), semilattice_sup_sup( X ), Y ), T ) ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), X ), Y ) = zero_zero( nat ) }.
% 1.96/2.36 { ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y
% 1.96/2.36 ) = zero_zero( nat ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool
% 1.96/2.36 ), ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), X ), Y ) = zero_zero( nat ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), hAPP( nat, nat, suc, Y ) ), X ) = hAPP( nat, nat, suc, hAPP( nat,
% 1.96/2.36 nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP(
% 1.96/2.36 nat, nat, suc, X ) ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), hAPP( nat, nat, suc, X ) ), Z ) ) ), hBOOL( hAPP( nat
% 1.96/2.36 , bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , Y ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), hAPP( nat, nat, suc, X ) ), Y ) ), hAPP( nat, nat,
% 1.96/2.36 hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat, nat, suc, X )
% 1.96/2.36 ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), Z ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat
% 1.96/2.36 ), Y ), X ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z
% 1.96/2.36 ), X ) ), Y ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y
% 1.96/2.36 ) ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z )
% 1.96/2.36 , Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), X ), Y ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), Z ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), Y ), Z ) ), X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ),
% 1.96/2.36 Y ), X ) ) = Y }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), Z ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ),
% 1.96/2.36 Y ), X ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z ), Y
% 1.96/2.36 ) ), X ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), Z ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), Y ), X ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), plus_plus( nat ), Z ), X ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), Z ), X ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat,
% 1.96/2.36 bool ), ord_less_eq( nat ), Z ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), minus_minus( nat ), Y ), X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ),
% 1.96/2.36 X ) ), X ) = Y }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), Y ), X ) = Z, Y = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), Z ), X ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! Y = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), Z ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), Y ), X ) = Z }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Z )
% 1.96/2.36 , Y ) ), X ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), Z ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ),
% 1.96/2.36 Y ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ),
% 1.96/2.36 X ) ), Z ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y ), Z
% 1.96/2.36 ) ), X ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y )
% 1.96/2.36 , Z ) ), X ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ),
% 1.96/2.36 X ) ), Z ) }.
% 1.96/2.36 { hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool )
% 1.96/2.36 , X ), finite_fold1( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.36 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot(
% 1.96/2.36 fun( X, bool ) ) ) ) = ti( X, Z ) }.
% 1.96/2.36 { ! Y = hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool ), X ), finite_fold1
% 1.96/2.36 ( X ), Z ), hAPP( fun( X, bool ), X, Y, hAPP( fun( X, bool ), fun( X,
% 1.96/2.36 bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T )
% 1.96/2.36 , bot_bot( fun( X, bool ) ) ) ) = ti( X, T ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.36 ), fun( fun( fun( X, bool ), X ), bool ), finite_folding_one( X ), Y ),
% 1.96/2.36 Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) ),
% 1.96/2.36 hAPP( fun( X, bool ), X, Z, T ) = hAPP( fun( X, bool ), X, hAPP( fun( X,
% 1.96/2.36 fun( X, X ) ), fun( fun( X, bool ), X ), finite_fold1( X ), Y ), T ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.36 ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Y ) ), hAPP
% 1.96/2.36 ( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Z ) ) ), zero_zero(
% 1.96/2.36 X ) ) ), ti( X, Y ) = zero_zero( X ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.36 ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Y ) ), hAPP
% 1.96/2.36 ( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Z ) ) ), zero_zero(
% 1.96/2.36 X ) ) ), ti( X, Z ) = zero_zero( X ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z )
% 1.96/2.36 = zero_zero( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP
% 1.96/2.36 ( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Y ) ), hAPP( X, X,
% 1.96/2.36 hAPP( X, fun( X, X ), times_times( X ), Z ), Z ) ) ), zero_zero( X ) ) )
% 1.96/2.36 }.
% 1.96/2.36 { ! linordered_ring( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ),
% 1.96/2.36 Y ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Z ) ) ) )
% 1.96/2.36 }.
% 1.96/2.36 { ! linordered_idom( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP(
% 1.96/2.36 X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ), ! hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), one_one( X
% 1.96/2.36 ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), Y ) ) }.
% 1.96/2.36 { ! linordered_idom( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP(
% 1.96/2.36 X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), Z ) ), ! hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), one_one( X
% 1.96/2.36 ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z ), Y ) ), Y ) ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP
% 1.96/2.36 ( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), T ) ), hAPP(
% 1.96/2.36 X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.36 X ), times_times( X ), U ), Z ) ), W ) ) ), hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP
% 1.96/2.36 ( X, X, hAPP( X, fun( X, X ), minus_minus( X ), Y ), U ) ), Z ) ), T ) )
% 1.96/2.36 , W ) ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP
% 1.96/2.36 ( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X, fun
% 1.96/2.36 ( X, X ), minus_minus( X ), Y ), U ) ), Z ) ), T ) ), W ) ), hBOOL( hAPP
% 1.96/2.36 ( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X
% 1.96/2.36 , fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), Z ) ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ),
% 1.96/2.36 Z ) ), W ) ) ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP
% 1.96/2.36 ( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ), T ) ), hAPP(
% 1.96/2.36 X, X, hAPP( X, fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X,
% 1.96/2.36 X ), times_times( X ), U ), Z ) ), W ) ) ), hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less_eq( X ), T ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X ), U ), Y ) ), Z ) ), W
% 1.96/2.36 ) ) ) }.
% 1.96/2.36 { ! ordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), T ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, hAPP( X,
% 1.96/2.36 fun( X, X ), minus_minus( X ), U ), Y ) ), Z ) ), W ) ) ), hBOOL( hAPP( X
% 1.96/2.36 , bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( X, X, hAPP( X,
% 1.96/2.36 fun( X, X ), plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), Z ) ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ),
% 1.96/2.36 Z ) ), W ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.36 hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP(
% 1.96/2.36 fun( X, bool ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat,
% 1.96/2.36 finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun
% 1.96/2.36 ( X, bool ), fun( X, bool ) ), insert( X ), Z ), Y ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, zero_zero( nat ) ) ), hAPP( nat, nat, hAPP( nat,
% 1.96/2.36 fun( nat, nat ), times_times( nat ), X ), Y ) ) ), hBOOL( hAPP( nat, bool
% 1.96/2.36 , hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP( nat, nat, suc,
% 1.96/2.36 zero_zero( nat ) ) ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, zero_zero( nat ) ) ), hAPP( nat, nat, hAPP( nat,
% 1.96/2.36 fun( nat, nat ), times_times( nat ), X ), Y ) ) ), hBOOL( hAPP( nat, bool
% 1.96/2.36 , hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP( nat, nat, suc,
% 1.96/2.36 zero_zero( nat ) ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, zero_zero( nat ) ) ), X ) ), ! hBOOL( hAPP( nat,
% 1.96/2.36 bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP( nat, nat,
% 1.96/2.36 suc, zero_zero( nat ) ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less_eq( nat ), hAPP( nat, nat, suc, zero_zero( nat )
% 1.96/2.36 ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X )
% 1.96/2.36 , Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.36 hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP(
% 1.96/2.36 fun( Z, bool ), nat, finite_card( Z ), hAPP( fun( X, bool ), fun( Z, bool
% 1.96/2.36 ), hAPP( fun( X, Z ), fun( fun( X, bool ), fun( Z, bool ) ), image( X, Z
% 1.96/2.36 ), T ), Y ) ) ), hAPP( fun( X, bool ), nat, finite_card( X ), Y ) ) ) }
% 1.96/2.36 .
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), Y ), X ) ) ), Z ) = hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.36 nat, nat ), minus_minus( nat ), hAPP( nat, nat, suc, Y ) ), hAPP( nat,
% 1.96/2.36 nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), Z ), hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), minus_minus( nat ), Y ), X ) ) ) = hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.36 nat, nat ), minus_minus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), plus_plus( nat ), Z ), X ) ), hAPP( nat, nat, suc, Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 Y ), Z ) ), T ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 X ), Z ) ), U ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool )
% 1.96/2.36 , ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ),
% 1.96/2.36 Y ), X ) ), Z ) ), T ) ), U ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), X )
% 1.96/2.36 ), Z ) ), T ) ), U ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat,
% 1.96/2.36 bool ), ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times
% 1.96/2.36 ( nat ), Y ), Z ) ), T ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times
% 1.96/2.36 ( nat ), X ), Z ) ), U ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.96/2.36 ( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y ), Z ) ), T
% 1.96/2.36 ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.96/2.36 ( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Z ) ), U
% 1.96/2.36 ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP( nat,
% 1.96/2.36 nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat, nat, hAPP
% 1.96/2.36 ( nat, fun( nat, nat ), minus_minus( nat ), Y ), X ) ), Z ) ), T ) ), U )
% 1.96/2.36 }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y
% 1.96/2.36 ), Z ) ), T ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X
% 1.96/2.36 ), Z ) ), U ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), X )
% 1.96/2.36 ), Z ) ), T ) = U }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), X )
% 1.96/2.36 ), Z ) ), T ) = U, hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 Y ), Z ) ), T ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X
% 1.96/2.36 ), Z ) ), U ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 X ), Z ) ), T ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 Y ), Z ) ), U ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool )
% 1.96/2.36 , ord_less_eq( nat ), T ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ),
% 1.96/2.36 Y ), X ) ), Z ) ), U ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), T ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ),
% 1.96/2.36 Y ), X ) ), Z ) ), U ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat,
% 1.96/2.36 bool ), ord_less_eq( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times
% 1.96/2.36 ( nat ), X ), Z ) ), T ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times
% 1.96/2.36 ( nat ), Y ), Z ) ), U ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.96/2.36 ( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Z ) ), T
% 1.96/2.36 ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP
% 1.96/2.36 ( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y ), Z ) ), U
% 1.96/2.36 ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), T
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), hAPP(
% 1.96/2.36 nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat, nat
% 1.96/2.36 , hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), X ) ), Z ) ), U )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X
% 1.96/2.36 ), Z ) ), T ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y
% 1.96/2.36 ), Z ) ), U ), T = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), X )
% 1.96/2.36 ), Z ) ), U ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! T = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ), X )
% 1.96/2.36 ), Z ) ), U ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X
% 1.96/2.36 ), Z ) ), T ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Y
% 1.96/2.36 ), Z ) ), U ) }.
% 1.96/2.36 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.36 , Y ) ), hAPP( fun( X, bool ), X, big_lattice_Sup_fin( X ), Y ) = hAPP(
% 1.96/2.36 fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool ), X )
% 1.96/2.36 , finite_fold1( X ), semilattice_sup_sup( X ) ), Y ) }.
% 1.96/2.36 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.36 , Y ) ), hAPP( fun( X, bool ), X, big_lattice_Inf_fin( X ), Y ) = hAPP(
% 1.96/2.36 fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool ), X )
% 1.96/2.36 , finite_fold1( X ), semilattice_inf_inf( X ) ), Y ) }.
% 1.96/2.36 { ! linord1278240602ring_1( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), T ), Z ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), zero_zero( X ) ), U ) ), !
% 1.96/2.36 hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ),
% 1.96/2.36 zero_zero( X ) ), W ) ), ! hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X
% 1.96/2.36 ), U ), W ) = one_one( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), U ), Y ) ), hAPP( X,
% 1.96/2.36 X, hAPP( X, fun( X, X ), times_times( X ), W ), T ) ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.36 hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP(
% 1.96/2.36 nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), hAPP( fun( X,
% 1.96/2.36 bool ), nat, finite_card( X ), Z ) ), hAPP( fun( X, bool ), nat,
% 1.96/2.36 finite_card( X ), Y ) ) ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.36 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Z ), Y ) ) ) ) }
% 1.96/2.36 .
% 1.96/2.36 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.36 , Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hBOOL( hAPP
% 1.96/2.36 ( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( fun( X, bool
% 1.96/2.36 ), X, big_lattice_Inf_fin( X ), Y ) ), hAPP( fun( X, bool ), X,
% 1.96/2.36 big_lattice_Sup_fin( X ), Y ) ) ) }.
% 1.96/2.36 { ! ab_semigroup_mult( X ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool
% 1.96/2.36 ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ),
% 1.96/2.36 hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.36 member( X ), Z ), Y ) ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X
% 1.96/2.36 ) ), fun( fun( X, bool ), X ), finite_fold1( X ), times_times( X ) ),
% 1.96/2.36 hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun(
% 1.96/2.36 X, bool ) ), insert( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Z ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X )
% 1.96/2.36 ), fun( fun( X, bool ), X ), finite_fold1( X ), times_times( X ) ), Y )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! ab_sem1668676832m_mult( X ), ti( fun( X, bool ), Y ) = bot_bot( fun( X
% 1.96/2.36 , bool ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y
% 1.96/2.36 ) ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun( X,
% 1.96/2.36 bool ), X ), finite_fold1( X ), times_times( X ) ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), Y ) ) = hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Z
% 1.96/2.36 ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun( X,
% 1.96/2.36 bool ), X ), finite_fold1( X ), times_times( X ) ), Y ) ) }.
% 1.96/2.36 { ! ab_sem1668676832m_mult( X ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.36 finite_finite_1( X ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X,
% 1.96/2.36 bool ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Z )
% 1.96/2.36 ), ti( fun( X, bool ), Z ) = bot_bot( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.36 bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool ), X ),
% 1.96/2.36 finite_fold1( X ), times_times( X ) ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.36 ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.36 semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) = hAPP( X, X, hAPP( X,
% 1.96/2.36 fun( X, X ), times_times( X ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun
% 1.96/2.36 ( X, X ) ), fun( fun( X, bool ), X ), finite_fold1( X ), times_times( X )
% 1.96/2.36 ), Y ) ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun
% 1.96/2.36 ( X, bool ), X ), finite_fold1( X ), times_times( X ) ), Z ) ) }.
% 1.96/2.36 { ! ab_sem1668676832m_mult( X ), ! hAPP( X, X, Y, hAPP( X, X, hAPP( X, fun
% 1.96/2.36 ( X, X ), times_times( X ), skol84( X, Y ) ), skol126( X, Y ) ) ) = hAPP
% 1.96/2.36 ( X, X, hAPP( X, fun( X, X ), times_times( X ), hAPP( X, X, Y, skol84( X
% 1.96/2.36 , Y ) ) ), hAPP( X, X, Y, skol126( X, Y ) ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.36 bool ), bool, finite_finite_1( X ), Z ) ), ti( fun( X, bool ), Z ) =
% 1.96/2.36 bot_bot( fun( X, bool ) ), hAPP( X, X, Y, hAPP( fun( X, bool ), X, hAPP(
% 1.96/2.36 fun( X, fun( X, X ) ), fun( fun( X, bool ), X ), finite_fold1( X ),
% 1.96/2.36 times_times( X ) ), Z ) ) = hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X
% 1.96/2.36 , X ) ), fun( fun( X, bool ), X ), finite_fold1( X ), times_times( X ) )
% 1.96/2.36 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, X ), fun( fun( X,
% 1.96/2.36 bool ), fun( X, bool ) ), image( X, X ), Y ), Z ) ) }.
% 1.96/2.36 { ! ab_semigroup_mult( X ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.36 finite_finite_1( X ), Y ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X,
% 1.96/2.36 bool ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.36 ), bool ), member( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X
% 1.96/2.36 ), skol85( X ) ), skol127( X ) ) ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.36 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), skol85( X
% 1.96/2.36 ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool )
% 1.96/2.36 , fun( X, bool ) ), insert( X ), skol127( X ) ), bot_bot( fun( X, bool )
% 1.96/2.36 ) ) ) ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.36 ), bool ), member( X ), hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X
% 1.96/2.36 ) ), fun( fun( X, bool ), X ), finite_fold1( X ), times_times( X ) ), Y
% 1.96/2.36 ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.36 ), fun( fun( fun( X, bool ), X ), bool ), big_semilattice_big( X ), Y )
% 1.96/2.36 , Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T ) )
% 1.96/2.36 , hAPP( fun( X, bool ), X, Z, T ) = hAPP( fun( X, bool ), X, hAPP( fun( X
% 1.96/2.36 , fun( X, X ) ), fun( fun( X, bool ), X ), finite_fold1( X ), Y ), T ) }
% 1.96/2.36 .
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), bot_bot( fun( X, bool ) )
% 1.96/2.36 ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), hBOOL(
% 1.96/2.36 hAPP( fun( fun( X, bool ), bool ), bool, finite_finite_1( fun( X, bool )
% 1.96/2.36 ), hAPP( fun( fun( X, bool ), bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 collect( fun( X, bool ) ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), hAPP( fun( fun( X, bool ), fun( fun( X, bool ), bool ) ), fun(
% 1.96/2.36 fun( X, bool ), fun( fun( X, bool ), bool ) ), combc( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), bool ), ord_less_eq( fun( X, bool ) ) ), Y ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Z ), hAPP( fun( Y, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool )
% 1.96/2.36 ), image( Y, X ), T ), U ) ) ), hBOOL( hAPP( fun( Y, bool ), bool, hAPP
% 1.96/2.36 ( fun( Y, bool ), fun( fun( Y, bool ), bool ), ord_less_eq( fun( Y, bool
% 1.96/2.36 ) ), skol86( W, Y, V0, V1, U ) ), U ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Z ), hAPP( fun( Y, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool )
% 1.96/2.36 ), image( Y, X ), T ), U ) ) ), ti( fun( X, bool ), Z ) = hAPP( fun( Y,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X,
% 1.96/2.36 bool ) ), image( Y, X ), T ), skol86( X, Y, Z, T, U ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( Y, bool ), bool, hAPP( fun( Y, bool ), fun( fun( Y,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( Y, bool ) ), W ), U ) ), ! ti( fun( X,
% 1.96/2.36 bool ), Z ) = hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ),
% 1.96/2.36 fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), T ), W ), hBOOL(
% 1.96/2.36 hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Z ), hAPP( fun( Y, bool ), fun( X
% 1.96/2.36 , bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool ) ), image
% 1.96/2.36 ( Y, X ), T ), U ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hBOOL( hAPP(
% 1.96/2.36 fun( T, bool ), bool, hAPP( fun( T, bool ), fun( fun( T, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( T, bool ) ), hAPP( fun( X, bool ), fun( T, bool ), hAPP
% 1.96/2.36 ( fun( X, T ), fun( fun( X, bool ), fun( T, bool ) ), image( X, T ), U )
% 1.96/2.36 , Y ) ), hAPP( fun( X, bool ), fun( T, bool ), hAPP( fun( X, T ), fun(
% 1.96/2.36 fun( X, bool ), fun( T, bool ) ), image( X, T ), U ), Z ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), Y ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) = ti( fun( X
% 1.96/2.36 , bool ), Y ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), Y ) = ti( fun( X
% 1.96/2.36 , bool ), Y ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), Y ), T ) ), hBOOL( hAPP( fun( X, bool )
% 1.96/2.36 , bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq(
% 1.96/2.36 fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X
% 1.96/2.36 , bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun
% 1.96/2.36 ( X, bool ) ), Z ), T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), T ), U ) ), hBOOL( hAPP( fun( X, bool )
% 1.96/2.36 , bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq(
% 1.96/2.36 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.36 X, bool ) ), Y ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.36 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf(
% 1.96/2.36 fun( X, bool ) ), Z ), U ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool
% 1.96/2.36 ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool
% 1.96/2.36 ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) = ti( fun( X
% 1.96/2.36 , bool ), Z ) }.
% 1.96/2.36 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.36 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z
% 1.96/2.36 ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X, bool ), bool, hAPP(
% 1.96/2.36 fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X, bool )
% 1.96/2.36 ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), Z ) = ti( fun( X
% 1.96/2.36 , bool ), Z ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), Y ) = ti( fun( X
% 1.96/2.36 , bool ), Z ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), T ), Z ) ), hBOOL( hAPP( fun( X, bool )
% 1.96/2.36 , bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq(
% 1.96/2.36 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.36 X, bool ) ), Y ), T ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), T ), U ) ), hBOOL( hAPP( fun( X, bool )
% 1.96/2.36 , bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq(
% 1.96/2.36 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup( fun(
% 1.96/2.36 X, bool ) ), Y ), T ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun
% 1.96/2.36 ( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), semilattice_sup_sup(
% 1.96/2.36 fun( X, bool ) ), Z ), U ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hBOOL( hAPP(
% 1.96/2.36 fun( fun( X, bool ), bool ), bool, hAPP( fun( fun( X, bool ), bool ), fun
% 1.96/2.36 ( fun( fun( X, bool ), bool ), bool ), ord_less_eq( fun( fun( X, bool ),
% 1.96/2.36 bool ) ), hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), powp( X ), Y
% 1.96/2.36 ) ), hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), powp( X ), Z ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.36 , Y ), Z ) ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun
% 1.96/2.36 ( X, bool ), bool ), member( X ), Y ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X )
% 1.96/2.36 , Y ), Z ) ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X,
% 1.96/2.36 bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X, bool ) ), Z ),
% 1.96/2.36 T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.36 , member( X ), Y ), T ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun
% 1.96/2.36 ( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X, bool ) ),
% 1.96/2.36 Z ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun
% 1.96/2.36 ( fun( X, bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.36 insert( X ), Y ), Z ) ), T ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.36 member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun(
% 1.96/2.36 X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X, bool ) ), Z
% 1.96/2.36 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ),
% 1.96/2.36 fun( X, bool ) ), insert( X ), Y ), T ) ) ), hBOOL( hAPP( fun( X, bool )
% 1.96/2.36 , bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq(
% 1.96/2.36 fun( X, bool ) ), Z ), T ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.36 member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun(
% 1.96/2.36 X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X, bool ) ), Z
% 1.96/2.36 ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun(
% 1.96/2.36 fun( X, bool ), bool ), ord_less_eq( fun( X, bool ) ), Z ), hAPP( fun( X
% 1.96/2.36 , bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , insert( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hBOOL( hAPP(
% 1.96/2.36 fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.36 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), Z ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hBOOL( hAPP(
% 1.96/2.36 fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.36 ( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), T ), Y ) ), hAPP
% 1.96/2.36 ( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.36 bool ) ), insert( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.36 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.36 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), Z ) ), ! hBOOL(
% 1.96/2.36 hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.36 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.36 ), bool ), bool ), ord_less_eq( fun( hoare_2118899576triple( X ), bool )
% 1.96/2.36 ), Y ), T ) ), hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ),
% 1.96/2.36 bool, hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.36 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.36 , T ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.36 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.36 X ), bool ), bool ), hoare_1301688828derivs( X ), Y ), Z ) ), ! hBOOL(
% 1.96/2.36 hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun(
% 1.96/2.36 hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple( X
% 1.96/2.36 ), bool ), bool ), ord_less_eq( fun( hoare_2118899576triple( X ), bool )
% 1.96/2.36 ), T ), Z ) ), hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ),
% 1.96/2.36 bool, hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.36 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.36 , Y ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ), bool, hAPP( fun
% 1.96/2.36 ( hoare_2118899576triple( X ), bool ), fun( fun( hoare_2118899576triple(
% 1.96/2.36 X ), bool ), bool ), ord_less_eq( fun( hoare_2118899576triple( X ), bool
% 1.96/2.36 ) ), Y ), Z ) ), hBOOL( hAPP( fun( hoare_2118899576triple( X ), bool ),
% 1.96/2.36 bool, hAPP( fun( hoare_2118899576triple( X ), bool ), fun( fun(
% 1.96/2.36 hoare_2118899576triple( X ), bool ), bool ), hoare_1301688828derivs( X )
% 1.96/2.36 , Z ), Y ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , minus_minus( fun( X, bool ) ), Y ), Z ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), T ), U ) ), hBOOL( hAPP( fun( X, bool )
% 1.96/2.36 , bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq(
% 1.96/2.36 fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.36 ) ), Y ), U ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X, bool
% 1.96/2.36 ) ), Z ), T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), Z ), T ) ), hAPP( fun( X, bool ), fun( X
% 1.96/2.36 , bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.36 minus_minus( fun( X, bool ) ), Z ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.36 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.36 minus_minus( fun( X, bool ) ), T ), Y ) ) = ti( fun( X, bool ), Y ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), bot_bot( fun( X, bool
% 1.96/2.36 ) ) ) ), ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ) }.
% 1.96/2.36 { ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hBOOL( hAPP( fun(
% 1.96/2.36 X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Y ), bot_bot( fun( X, bool ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, finite_finite_1( X ), Z ) ), hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, finite_finite_1( X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Z ), Y ) ), hBOOL( hAPP( fun( X,
% 1.96/2.36 bool ), bool, finite_finite_1( X ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ), ti( fun( X, bool ), Y ) =
% 1.96/2.36 bot_bot( fun( X, bool ) ), ti( fun( X, bool ), Y ) = hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), bot_bot( fun( X, bool ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( Z, bool ), bool, hAPP( fun( Z, bool ), fun( fun( Z, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( Z, bool ) ), T ), hAPP( fun( X, bool ), fun( Z
% 1.96/2.36 , bool ), hAPP( fun( X, Z ), fun( fun( X, bool ), fun( Z, bool ) ), image
% 1.96/2.36 ( X, Z ), U ), Y ) ) ), hBOOL( hAPP( fun( Z, bool ), bool,
% 1.96/2.36 finite_finite_1( Z ), T ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( Y, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool ) ),
% 1.96/2.36 image( Y, X ), Z ), hAPP( fun( Y, bool ), fun( Y, bool ), hAPP( fun( Y,
% 1.96/2.36 bool ), fun( fun( Y, bool ), fun( Y, bool ) ), semilattice_inf_inf( fun(
% 1.96/2.36 Y, bool ) ), T ), U ) ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP(
% 1.96/2.36 fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.36 semilattice_inf_inf( fun( X, bool ) ), hAPP( fun( Y, bool ), fun( X, bool
% 1.96/2.36 ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X
% 1.96/2.36 ), Z ), T ) ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ),
% 1.96/2.36 fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), Z ), U ) ) ) ) }.
% 1.96/2.36 { ! hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.36 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP(
% 1.96/2.36 fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool )
% 1.96/2.36 , fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T
% 1.96/2.36 ) = hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.36 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y )
% 1.96/2.36 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X
% 1.96/2.36 , bool ), fun( X, bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T
% 1.96/2.36 ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun(
% 1.96/2.36 X, bool ), bool ), ord_less_eq( fun( X, bool ) ), T ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), T ), Y ) ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), hAPP( fun( X, bool ),
% 1.96/2.36 fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool )
% 1.96/2.36 ), semilattice_inf_inf( fun( X, bool ) ), Y ), Z ) ), T ) = hAPP( fun( X
% 1.96/2.36 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , minus_minus( fun( X, bool ) ), hAPP( fun( Y, bool ), fun( X, bool ),
% 1.96/2.36 hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ),
% 1.96/2.36 Z ), T ) ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ), fun
% 1.96/2.36 ( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), Z ), U ) ) ), hAPP(
% 1.96/2.36 fun( Y, bool ), fun( X, bool ), hAPP( fun( Y, X ), fun( fun( Y, bool ),
% 1.96/2.36 fun( X, bool ) ), image( Y, X ), Z ), hAPP( fun( Y, bool ), fun( Y, bool
% 1.96/2.36 ), hAPP( fun( Y, bool ), fun( fun( Y, bool ), fun( Y, bool ) ),
% 1.96/2.36 minus_minus( fun( Y, bool ) ), T ), U ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , minus_minus( fun( X, bool ) ), Y ), Z ) ), T ) ), hBOOL( hAPP( fun( X,
% 1.96/2.36 bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.36 , hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ),
% 1.96/2.36 semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool
% 1.96/2.36 ) ), semilattice_sup_sup( fun( X, bool ) ), Z ), T ) ) ), hBOOL( hAPP(
% 1.96/2.36 fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.36 ( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun
% 1.96/2.36 ( X, bool ) ), Y ), Z ) ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), semilattice_sup_sup( fun( X, bool ) ), Y ), hAPP( fun( X,
% 1.96/2.36 bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), minus_minus( fun( X, bool ) ), Z ), Y ) ) = ti( fun( X, bool
% 1.96/2.36 ), Z ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( fun( X, bool ), Y ), bool, hAPP( fun( X, Y ), fun(
% 1.96/2.36 fun( fun( X, bool ), Y ), bool ), hAPP( Y, fun( fun( X, Y ), fun( fun(
% 1.96/2.36 fun( X, bool ), Y ), bool ) ), hAPP( fun( Y, fun( Y, Y ) ), fun( Y, fun(
% 1.96/2.36 fun( X, Y ), fun( fun( fun( X, bool ), Y ), bool ) ) ),
% 1.96/2.36 finite908156982e_idem( Y, X ), Z ), U ), W ), T ) ), ! hBOOL( hAPP( fun(
% 1.96/2.36 X, bool ), bool, finite_finite_1( X ), V0 ) ), ! hBOOL( hAPP( fun( X,
% 1.96/2.36 bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), V1 ), V0 ) ), hAPP( Y, Y, hAPP( Y, fun( Y
% 1.96/2.36 , Y ), Z, hAPP( fun( X, bool ), Y, T, V1 ) ), hAPP( fun( X, bool ), Y, T
% 1.96/2.36 , V0 ) ) = hAPP( fun( X, bool ), Y, T, V0 ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), T ) ) ), alpha15( X, Y, Z, T ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), T ) ) ), alpha29( X, Y, Z, T ) }.
% 1.96/2.36 { ! alpha15( X, Y, Z, T ), ! alpha29( X, Y, Z, T ), hBOOL( hAPP( fun( X,
% 1.96/2.36 bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool )
% 1.96/2.36 , hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), T ) )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! alpha29( X, Y, Z, T ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.96/2.36 ( fun( X, bool ), bool ), member( X ), Z ), Y ) ), hBOOL( hAPP( fun( X,
% 1.96/2.36 bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Y ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.36 , member( X ), Z ), Y ) ), alpha29( X, Y, Z, T ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), T ) ), alpha29( X, Y
% 1.96/2.36 , Z, T ) }.
% 1.96/2.36 { ! alpha15( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.36 fun( fun( X, bool ), bool ), member( X ), Z ), Y ) ), hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.36 ( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun
% 1.96/2.36 ( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun(
% 1.96/2.36 fun( X, bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool
% 1.96/2.36 ) ) ) ) ), T ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.36 member( X ), Z ), Y ) ), alpha15( X, Y, Z, T ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.36 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.36 bot_bot( fun( X, bool ) ) ) ) ), T ) ), alpha15( X, Y, Z, T ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.36 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.36 bot_bot( fun( X, bool ) ) ) ) ), T ) ), ! hBOOL( hAPP( fun( X, bool ),
% 1.96/2.36 bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ), Z ), Y ) ),
% 1.96/2.36 hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Z ), Y ) ), hBOOL( hAPP( nat, bool
% 1.96/2.36 , hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP( fun( X, bool ),
% 1.96/2.36 nat, finite_card( X ), Z ) ), hAPP( fun( X, bool ), nat, finite_card( X )
% 1.96/2.36 , Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Z ), Y ) ), ! hBOOL( hAPP( nat,
% 1.96/2.36 bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), hAPP( fun( X, bool
% 1.96/2.36 ), nat, finite_card( X ), Y ) ), hAPP( fun( X, bool ), nat, finite_card
% 1.96/2.36 ( X ), Z ) ) ), ti( fun( X, bool ), Z ) = ti( fun( X, bool ), Y ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( fun( X, bool ), X ), bool, hAPP( fun( X, fun( X, X )
% 1.96/2.36 ), fun( fun( fun( X, bool ), X ), bool ), finite2073411215e_idem( X ), Y
% 1.96/2.36 ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), T )
% 1.96/2.36 ), ti( fun( X, bool ), U ) = bot_bot( fun( X, bool ) ), ! hBOOL( hAPP(
% 1.96/2.36 fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), U ), T ) ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), Y, hAPP( fun( X, bool ), X, Z, U ) ), hAPP( fun( X, bool ), X, Z, T )
% 1.96/2.36 ) = hAPP( fun( X, bool ), X, Z, T ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hAPP( fun( X, bool ),
% 1.96/2.36 nat, finite_card( X ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X
% 1.96/2.36 , bool ), fun( fun( X, bool ), fun( X, bool ) ), minus_minus( fun( X,
% 1.96/2.36 bool ) ), Z ), Y ) ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), hAPP( fun( X, bool ), nat, finite_card( X ), Z ) ),
% 1.96/2.36 hAPP( fun( X, bool ), nat, finite_card( X ), Y ) ) }.
% 1.96/2.36 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.36 , Y ) ), ti( fun( X, bool ), Z ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.96/2.36 hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Z ), Y ) ), hAPP( X, X, hAPP( X,
% 1.96/2.36 fun( X, X ), semilattice_sup_sup( X ), hAPP( fun( X, bool ), X,
% 1.96/2.36 big_lattice_Sup_fin( X ), Z ) ), hAPP( fun( X, bool ), X,
% 1.96/2.36 big_lattice_Sup_fin( X ), Y ) ) = hAPP( fun( X, bool ), X,
% 1.96/2.36 big_lattice_Sup_fin( X ), Y ) }.
% 1.96/2.36 { ! lattice( X ), ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X )
% 1.96/2.36 , Y ) ), ti( fun( X, bool ), Z ) = bot_bot( fun( X, bool ) ), ! hBOOL(
% 1.96/2.36 hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Z ), Y ) ), hAPP( X, X, hAPP( X,
% 1.96/2.36 fun( X, X ), semilattice_inf_inf( X ), hAPP( fun( X, bool ), X,
% 1.96/2.36 big_lattice_Inf_fin( X ), Z ) ), hAPP( fun( X, bool ), X,
% 1.96/2.36 big_lattice_Inf_fin( X ), Y ) ) = hAPP( fun( X, bool ), X,
% 1.96/2.36 big_lattice_Inf_fin( X ), Y ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), hAPP( nat, X, Y, skol87( X, Y ) ) ), hAPP( nat, X, Y,
% 1.96/2.36 hAPP( nat, nat, suc, skol87( X, Y ) ) ) ) ), ! hBOOL( hAPP( nat, bool,
% 1.96/2.36 hAPP( nat, fun( nat, bool ), ord_less_eq( nat ), Z ), T ) ), hBOOL( hAPP
% 1.96/2.36 ( X, bool, hAPP( X, fun( X, bool ), ord_less_eq( X ), hAPP( nat, X, Y, Z
% 1.96/2.36 ) ), hAPP( nat, X, Y, T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, T, bot_bot( fun( X, bool ) ) ) ), hBOOL( hAPP( fun( X,
% 1.96/2.36 bool ), bool, finite_finite_1( X ), skol88( X, U, W ) ) ), hBOOL( hAPP(
% 1.96/2.36 fun( X, bool ), bool, T, Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, T, bot_bot( fun( X, bool ) ) ) ), alpha44( X, Z, T,
% 1.96/2.36 skol88( X, Z, T ) ), hBOOL( hAPP( fun( X, bool ), bool, T, Y ) ) }.
% 1.96/2.36 { ! alpha44( X, Y, Z, T ), alpha47( X, Y, T, skol89( X, Y, U, T ) ) }.
% 1.96/2.36 { ! alpha44( X, Y, Z, T ), hBOOL( hAPP( fun( X, bool ), bool, Z, T ) ) }.
% 1.96/2.36 { ! alpha44( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, Z, hAPP(
% 1.96/2.36 fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X,
% 1.96/2.36 bool ) ), insert( X ), skol89( X, Y, Z, T ) ), T ) ) ) }.
% 1.96/2.36 { ! alpha47( X, Y, T, U ), ! hBOOL( hAPP( fun( X, bool ), bool, Z, T ) ),
% 1.96/2.36 hBOOL( hAPP( fun( X, bool ), bool, Z, hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.36 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), U ), T )
% 1.96/2.36 ) ), alpha44( X, Y, Z, T ) }.
% 1.96/2.36 { ! alpha47( X, Y, Z, T ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun
% 1.96/2.36 ( fun( X, bool ), bool ), member( X ), T ), Y ) ) }.
% 1.96/2.36 { ! alpha47( X, Y, Z, T ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.36 fun( fun( X, bool ), bool ), member( X ), T ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.36 , member( X ), T ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X,
% 1.96/2.36 fun( fun( X, bool ), bool ), member( X ), T ), Z ) ), alpha47( X, Y, Z, T
% 1.96/2.36 ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), Z ), Y ) ), ti( fun( X, bool ), Y ) = ti
% 1.96/2.36 ( fun( X, bool ), Z ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X )
% 1.96/2.36 , T ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X,
% 1.96/2.36 bool ), bool ), member( X ), T ), Z ) ) }.
% 1.96/2.36 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Y ), Z ) ) }.
% 1.96/2.36 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Z ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), Z ), T ) ), hBOOL( hAPP( fun( X, bool )
% 1.96/2.36 , bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq(
% 1.96/2.36 fun( X, bool ) ), Y ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X )
% 1.96/2.36 , T ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X,
% 1.96/2.36 bool ), bool ), member( X ), T ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.36 , member( X ), Y ), Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun
% 1.96/2.36 ( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X, bool ) ),
% 1.96/2.36 Z ), T ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool
% 1.96/2.36 ), bool ), member( X ), Y ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( X, bool, Y, T ) ), hBOOL( hAPP( X, bool, Z, T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X )
% 1.96/2.36 , T ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X,
% 1.96/2.36 bool ), bool ), member( X ), T ), Z ) ) }.
% 1.96/2.36 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Z ), Y ) ) }.
% 1.96/2.36 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, Y, Z ) ), ! hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.36 hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X,
% 1.96/2.36 bool ) ), Y ), T ) ), hBOOL( hAPP( X, bool, T, Z ) ) }.
% 1.96/2.36 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Y ), Z ) ) }.
% 1.96/2.36 { ! ti( fun( X, bool ), Y ) = ti( fun( X, bool ), Z ), hBOOL( hAPP( fun( X
% 1.96/2.36 , bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), Z ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool )
% 1.96/2.36 , ord_less_eq( fun( X, bool ) ), Z ), Y ) ), ti( fun( X, bool ), Y ) = ti
% 1.96/2.36 ( fun( X, bool ), Z ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X,
% 1.96/2.36 bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool ), member( X ) )
% 1.96/2.36 , Y ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( fun( X
% 1.96/2.36 , bool ), bool ) ), fun( fun( X, bool ), fun( X, bool ) ), combc( X, fun
% 1.96/2.36 ( X, bool ), bool ), member( X ) ), Z ) ) ), hBOOL( hAPP( fun( X, bool )
% 1.96/2.36 , bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq(
% 1.96/2.36 fun( X, bool ) ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hBOOL( hAPP(
% 1.96/2.36 fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP
% 1.96/2.36 ( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X,
% 1.96/2.36 bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), Y ) ), hAPP(
% 1.96/2.36 fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( fun( X, bool ), bool )
% 1.96/2.36 ), fun( fun( X, bool ), fun( X, bool ) ), combc( X, fun( X, bool ), bool
% 1.96/2.36 ), member( X ) ), Z ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.36 member( X ), skol90( X, T, Z ) ), Z ) ), hBOOL( hAPP( fun( X, bool ),
% 1.96/2.36 bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun
% 1.96/2.36 ( X, bool ) ), Z ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.36 , member( X ), skol90( X, Y, Z ) ), Y ) ), hBOOL( hAPP( fun( X, bool ),
% 1.96/2.36 bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun
% 1.96/2.36 ( X, bool ) ), Z ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( Z, bool ), fun( X
% 1.96/2.36 , bool ), hAPP( fun( Z, X ), fun( fun( Z, bool ), fun( X, bool ) ), image
% 1.96/2.36 ( Z, X ), T ), U ) ) ), hBOOL( hAPP( fun( Z, bool ), bool,
% 1.96/2.36 finite_finite_1( Z ), skol91( W, V0, Z, V1, V2 ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( Z, bool ), fun( X
% 1.96/2.36 , bool ), hAPP( fun( Z, X ), fun( fun( Z, bool ), fun( X, bool ) ), image
% 1.96/2.36 ( Z, X ), T ), U ) ) ), hBOOL( hAPP( fun( Z, bool ), bool, hAPP( fun( Z,
% 1.96/2.36 bool ), fun( fun( Z, bool ), bool ), ord_less_eq( fun( Z, bool ) ),
% 1.96/2.36 skol91( W, V0, Z, V1, U ) ), U ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( Z, bool ), fun( X
% 1.96/2.36 , bool ), hAPP( fun( Z, X ), fun( fun( Z, bool ), fun( X, bool ) ), image
% 1.96/2.36 ( Z, X ), T ), U ) ) ), ti( fun( X, bool ), Y ) = hAPP( fun( Z, bool ),
% 1.96/2.36 fun( X, bool ), hAPP( fun( Z, X ), fun( fun( Z, bool ), fun( X, bool ) )
% 1.96/2.36 , image( Z, X ), T ), skol91( X, Y, Z, T, U ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hBOOL( hAPP(
% 1.96/2.36 fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ), member( X ),
% 1.96/2.36 skol92( X, Y, W, V0 ) ), Y ) ), hBOOL( hAPP( fun( X, bool ), bool, hAPP(
% 1.96/2.36 fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X, bool )
% 1.96/2.36 ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun
% 1.96/2.36 ( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Y )
% 1.96/2.36 , hAPP( fun( X, bool ), fun( X, bool ), collect( X ), U ) ) ), hAPP( fun
% 1.96/2.36 ( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), hAPP( fun(
% 1.96/2.36 X, bool ), fun( X, bool ), collect( X ), T ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), hBOOL( hAPP( X
% 1.96/2.36 , bool, U, skol92( X, Y, W, U ) ) ), hBOOL( hAPP( fun( X, bool ), bool,
% 1.96/2.36 hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X,
% 1.96/2.36 bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun
% 1.96/2.36 ( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) )
% 1.96/2.36 , Y ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), U ) ) ), hAPP
% 1.96/2.36 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool
% 1.96/2.36 ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ), hAPP(
% 1.96/2.36 fun( X, bool ), fun( X, bool ), collect( X ), T ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), Z ) ), ! hBOOL( hAPP
% 1.96/2.36 ( X, bool, T, skol92( X, Y, T, U ) ) ), hBOOL( hAPP( fun( X, bool ), bool
% 1.96/2.36 , hAPP( fun( X, bool ), fun( fun( X, bool ), bool ), ord_less_eq( fun( X
% 1.96/2.36 , bool ) ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ),
% 1.96/2.36 fun( fun( X, bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool
% 1.96/2.36 ) ), Y ), hAPP( fun( X, bool ), fun( X, bool ), collect( X ), U ) ) ),
% 1.96/2.36 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), fun( X, bool ) ), semilattice_inf_inf( fun( X, bool ) ), Z ),
% 1.96/2.36 hAPP( fun( X, bool ), fun( X, bool ), collect( X ), T ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, Y ) ), X ) ), X = hAPP( nat, nat, suc, skol93( X )
% 1.96/2.36 ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, X ) ), Y ) ), ! hBOOL( hAPP( nat, bool, Z, hAPP(
% 1.96/2.36 nat, nat, suc, skol94( T, Z ) ) ) ), hBOOL( hAPP( nat, bool, Z, Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, X ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.36 fun( nat, bool ), ord_less_eq( nat ), X ), skol94( X, Z ) ) ), hBOOL(
% 1.96/2.36 hAPP( nat, bool, Z, Y ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( Y, bool ), bool, hAPP( Y, fun( fun( Y, bool ), bool ),
% 1.96/2.36 member( Y ), skol95( W, Y, V0, V1, U ) ), U ) ), hBOOL( hAPP( fun( X,
% 1.96/2.36 bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ), bool ),
% 1.96/2.36 ord_less_eq( fun( X, bool ) ), hAPP( fun( Y, bool ), fun( X, bool ), hAPP
% 1.96/2.36 ( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X ), Z )
% 1.96/2.36 , U ) ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool )
% 1.96/2.36 , member( X ), hAPP( Y, X, Z, skol95( X, Y, Z, T, U ) ) ), T ) ), hBOOL(
% 1.96/2.36 hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X, bool ),
% 1.96/2.36 bool ), ord_less_eq( fun( X, bool ) ), hAPP( fun( Y, bool ), fun( X, bool
% 1.96/2.36 ), hAPP( fun( Y, X ), fun( fun( Y, bool ), fun( X, bool ) ), image( Y, X
% 1.96/2.36 ), Z ), U ) ), T ) ) }.
% 1.96/2.36 { ! ord( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less_eq
% 1.96/2.36 ( X ), hAPP( Y, X, Z, skol96( X, Y, Z, T ) ) ), hAPP( Y, X, T, skol96( X
% 1.96/2.36 , Y, Z, T ) ) ) ), hBOOL( hAPP( fun( Y, X ), bool, hAPP( fun( Y, X ), fun
% 1.96/2.36 ( fun( Y, X ), bool ), ord_less_eq( fun( Y, X ) ), Z ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( nat, bool ), bool, finite_finite_1( nat ), X ) ), !
% 1.96/2.36 hBOOL( hAPP( fun( nat, bool ), bool, hAPP( nat, fun( fun( nat, bool ),
% 1.96/2.36 bool ), member( nat ), Y ), X ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less_eq( nat ), Y ), skol97( X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , skol128( Z, Y ) ), Y ) ), hBOOL( hAPP( fun( nat, bool ), bool,
% 1.96/2.36 finite_finite_1( nat ), X ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( nat, bool ), bool, hAPP( nat, fun( fun( nat, bool ),
% 1.96/2.36 bool ), member( nat ), skol128( X, Y ) ), X ) ), hBOOL( hAPP( fun( nat,
% 1.96/2.36 bool ), bool, finite_finite_1( nat ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , skol98( X ) ), hAPP( nat, nat, X, skol98( X ) ) ) ), hBOOL( hAPP( fun(
% 1.96/2.36 nat, bool ), bool, finite_finite_1( nat ), hAPP( fun( nat, bool ), fun(
% 1.96/2.36 nat, bool ), collect( nat ), hAPP( nat, fun( nat, bool ), hAPP( fun( nat
% 1.96/2.36 , fun( nat, bool ) ), fun( nat, fun( nat, bool ) ), combc( nat, nat, bool
% 1.96/2.36 ), hAPP( fun( nat, nat ), fun( nat, fun( nat, bool ) ), hAPP( fun( nat,
% 1.96/2.36 fun( nat, bool ) ), fun( fun( nat, nat ), fun( nat, fun( nat, bool ) ) )
% 1.96/2.36 , combb( nat, fun( nat, bool ), nat ), ord_less_eq( nat ) ), X ) ), Y ) )
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ), hAPP( fun( X, bool ), X,
% 1.96/2.36 hAPP( X, fun( fun( X, bool ), X ), partial_flat_lub( X ), Z ), Y ) = ti(
% 1.96/2.36 X, Z ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( X, bool ), bool, hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), bool ), ord_less_eq( fun( X, bool ) ), Y ), hAPP( fun( X, bool )
% 1.96/2.36 , fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert
% 1.96/2.36 ( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ), hAPP( fun( X, bool ), X,
% 1.96/2.36 hAPP( X, fun( fun( X, bool ), X ), partial_flat_lub( X ), Z ), Y ) = hAPP
% 1.96/2.36 ( fun( X, bool ), X, the_1( X ), hAPP( fun( X, bool ), fun( X, bool ),
% 1.96/2.36 hAPP( fun( X, fun( fun( X, bool ), bool ) ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), combc( X, fun( X, bool ), bool ), member( X ) ), hAPP( fun( X
% 1.96/2.36 , bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X, bool ), fun
% 1.96/2.36 ( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun( X, bool ),
% 1.96/2.36 fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X
% 1.96/2.36 ), Z ), bot_bot( fun( X, bool ) ) ) ) ) ) }.
% 1.96/2.36 { hAPP( fun( X, bool ), X, hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool )
% 1.96/2.36 , X ), finite_fold1( X ), Y ), Z ) = hAPP( fun( X, bool ), X, the_1( X )
% 1.96/2.36 , hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( X, X ) ), fun
% 1.96/2.36 ( fun( X, bool ), fun( X, bool ) ), finite_fold1Set( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.36 X, fun( X, X ) ), fun( fun( X, bool ), fun( X, bool ) ), finite_fold1Set
% 1.96/2.36 ( X ), Z ), Y ), T ) ), ! ti( fun( X, bool ), Y ) = bot_bot( fun( X, bool
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.36 X, fun( X, X ) ), fun( fun( X, bool ), fun( X, bool ) ), finite_fold1Set
% 1.96/2.36 ( X ), Y ), bot_bot( fun( X, bool ) ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun(
% 1.96/2.36 X, fun( X, X ) ), fun( fun( X, bool ), fun( X, bool ) ), finite_fold1Set
% 1.96/2.36 ( X ), Y ), hAPP( fun( X, bool ), fun( X, bool ), hAPP( X, fun( fun( X,
% 1.96/2.36 bool ), fun( X, bool ) ), insert( X ), Z ), bot_bot( fun( X, bool ) ) ) )
% 1.96/2.36 , T ) ), ti( X, Z ) = ti( X, T ) }.
% 1.96/2.36 { ! ti( X, Z ) = ti( X, T ), hBOOL( hAPP( X, bool, hAPP( fun( X, bool ),
% 1.96/2.36 fun( X, bool ), hAPP( fun( X, fun( X, X ) ), fun( fun( X, bool ), fun( X
% 1.96/2.36 , bool ) ), finite_fold1Set( X ), Y ), hAPP( fun( X, bool ), fun( X, bool
% 1.96/2.36 ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) ), insert( X ), Z ),
% 1.96/2.36 bot_bot( fun( X, bool ) ) ) ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ti( fun
% 1.96/2.36 ( X, bool ), Y ) = bot_bot( fun( X, bool ) ), hBOOL( hAPP( X, bool, hAPP
% 1.96/2.36 ( fun( X, bool ), fun( X, bool ), hAPP( fun( X, fun( X, X ) ), fun( fun(
% 1.96/2.36 X, bool ), fun( X, bool ) ), finite_fold1Set( X ), Z ), Y ), skol99( X, Y
% 1.96/2.36 , Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ), ! hBOOL
% 1.96/2.36 ( hAPP( fun( X, bool ), bool, hAPP( X, fun( fun( X, bool ), bool ),
% 1.96/2.36 member( X ), Z ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat,
% 1.96/2.36 bool ), ord_less( nat ), hAPP( fun( X, bool ), nat, finite_card( X ),
% 1.96/2.36 hAPP( fun( X, bool ), fun( X, bool ), hAPP( fun( X, bool ), fun( fun( X,
% 1.96/2.36 bool ), fun( X, bool ) ), minus_minus( fun( X, bool ) ), Y ), hAPP( fun(
% 1.96/2.36 X, bool ), fun( X, bool ), hAPP( X, fun( fun( X, bool ), fun( X, bool ) )
% 1.96/2.36 , insert( X ), Z ), bot_bot( fun( X, bool ) ) ) ) ) ), hAPP( fun( X, bool
% 1.96/2.36 ), nat, finite_card( X ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), zero_zero( nat ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X )
% 1.96/2.36 , hAPP( nat, nat, suc, X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), hAPP( nat, nat, suc, X ) ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( nat, bool ), bool, finite_finite_1( nat ), hAPP( fun(
% 1.96/2.36 nat, bool ), fun( nat, bool ), collect( nat ), hAPP( nat, fun( nat, bool
% 1.96/2.36 ), hAPP( fun( nat, fun( nat, bool ) ), fun( nat, fun( nat, bool ) ),
% 1.96/2.36 combc( nat, nat, bool ), ord_less( nat ) ), X ) ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), hAPP( nat, nat, suc, X ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( nat, bool ), bool, finite_finite_1( nat ), hAPP( fun(
% 1.96/2.36 nat, bool ), fun( nat, bool ), collect( nat ), hAPP( fun( nat, bool ),
% 1.96/2.36 fun( nat, bool ), hAPP( fun( nat, fun( bool, bool ) ), fun( fun( nat,
% 1.96/2.36 bool ), fun( nat, bool ) ), combs( nat, bool, bool ), hAPP( fun( nat,
% 1.96/2.36 bool ), fun( nat, fun( bool, bool ) ), hAPP( fun( bool, fun( bool, bool )
% 1.96/2.36 ), fun( fun( nat, bool ), fun( nat, fun( bool, bool ) ) ), combb( bool,
% 1.96/2.36 fun( bool, bool ), nat ), fconj ), X ) ), hAPP( nat, fun( nat, bool ),
% 1.96/2.36 hAPP( fun( nat, fun( nat, bool ) ), fun( nat, fun( nat, bool ) ), combc(
% 1.96/2.36 nat, nat, bool ), ord_less( nat ) ), Y ) ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( fun( nat, bool ), bool, finite_finite_1( nat ), X ) ), !
% 1.96/2.36 hBOOL( hAPP( fun( nat, bool ), bool, hAPP( nat, fun( fun( nat, bool ),
% 1.96/2.36 bool ), member( nat ), Y ), X ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), Y ), skol100( X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 skol129( Z, Y ) ), Y ) ), hBOOL( hAPP( fun( nat, bool ), bool,
% 1.96/2.36 finite_finite_1( nat ), X ) ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( nat, bool ), bool, hAPP( nat, fun( fun( nat, bool ),
% 1.96/2.36 bool ), member( nat ), skol129( X, Y ) ), X ) ), hBOOL( hAPP( fun( nat,
% 1.96/2.36 bool ), bool, finite_finite_1( nat ), X ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), T ), Y ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), T ), Z ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), Y ), T ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), T ), Y ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), T ), Z ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), T ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ti( X, Z ) = ti( X, Y ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Y ), Z ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! linorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Y ), Z ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! linorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! ti( X, Y ) = ti( X, Z ), ! hBOOL( hAPP( X
% 1.96/2.36 , bool, hAPP( X, fun( X, bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! order( X ), ti( X, Y ) = ti( X, Z ), ! hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), Z ), Y ) ), hBOOL( hAPP( X, bool, hAPP
% 1.96/2.36 ( X, fun( X, bool ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! order( X ), ti( X, Y ) = ti( X, Z ), ! hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP
% 1.96/2.36 ( X, fun( X, bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP
% 1.96/2.36 ( X, fun( X, bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Y ), Z ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! order( X ), ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), Z ), Y ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less_eq( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less_eq( X ), Z ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq
% 1.96/2.36 ( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool )
% 1.96/2.36 , ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), X ), Y ) ), X = Y }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq
% 1.96/2.36 ( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! X = Y }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool )
% 1.96/2.36 , ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! ti( fun( X, bool ), Y ) = hAPP( fun( nat, bool ), fun( X, bool ), hAPP
% 1.96/2.36 ( fun( nat, X ), fun( fun( nat, bool ), fun( X, bool ) ), image( nat, X )
% 1.96/2.36 , Z ), hAPP( fun( nat, bool ), fun( nat, bool ), collect( nat ), hAPP(
% 1.96/2.36 nat, fun( nat, bool ), hAPP( fun( nat, fun( nat, bool ) ), fun( nat, fun
% 1.96/2.36 ( nat, bool ) ), combc( nat, nat, bool ), ord_less( nat ) ), T ) ) ),
% 1.96/2.36 hBOOL( hAPP( fun( X, bool ), bool, finite_finite_1( X ), Y ) ) }.
% 1.96/2.36 { ! ordere223160158up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.36 X, bool ), ord_less_eq( X ), T ), U ) ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.36 X ), Z ), U ) ) ) }.
% 1.96/2.36 { ! ordere223160158up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less( X ), T ), U ) ), hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.36 X ), Z ), U ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, X ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.36 fun( nat, bool ), ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), Y ), hAPP( nat, nat, suc, X ) ) ), Y = X }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! Y = X, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool
% 1.96/2.36 ), ord_less( nat ), Y ), hAPP( nat, nat, suc, X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, suc, X ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, X ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.36 fun( nat, bool ), ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, suc, X ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), hAPP( nat, nat, suc, Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), hAPP( nat, nat, suc, X ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , hAPP( nat, nat, suc, X ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.36 fun( nat, bool ), ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Z ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), minus_minus( nat ), Y ), X ) ), hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), minus_minus( nat ), Z ), X ) ) ), hBOOL( hAPP( nat, bool, hAPP(
% 1.96/2.36 nat, fun( nat, bool ), ord_less( nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less_eq( nat )
% 1.96/2.36 , X ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Z ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), Y ), Z ) ), hBOOL( hAPP( nat, bool, hAPP
% 1.96/2.36 ( nat, fun( nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun
% 1.96/2.36 ( nat, nat ), minus_minus( nat ), Y ), X ) ), hAPP( nat, nat, hAPP( nat,
% 1.96/2.36 fun( nat, nat ), minus_minus( nat ), Z ), X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), Z ), X ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun(
% 1.96/2.36 nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.96/2.36 , minus_minus( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), minus_minus( nat ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! bot( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X
% 1.96/2.36 ), Y ), bot_bot( X ) ) ) }.
% 1.96/2.36 { ! bot( X ), ti( X, Y ) = bot_bot( X ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less( X ), bot_bot( X ) ), Y ) ) }.
% 1.96/2.36 { ! bot( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X
% 1.96/2.36 ), bot_bot( X ) ), Y ) ), ! ti( X, Y ) = bot_bot( X ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) )
% 1.96/2.36 , X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) )
% 1.96/2.36 , Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Y ) )
% 1.96/2.36 , hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z )
% 1.96/2.36 ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat
% 1.96/2.36 ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), Y
% 1.96/2.36 ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X
% 1.96/2.36 ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ),
% 1.96/2.36 X ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X
% 1.96/2.36 ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ),
% 1.96/2.36 Y ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), Z ), T ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.96/2.36 , plus_plus( nat ), Y ), T ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat )
% 1.96/2.36 , Z ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat )
% 1.96/2.36 , X ), T ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), Z ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z ) )
% 1.96/2.36 , Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), X ), Y ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.96/2.36 Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), T ), Z ) )
% 1.96/2.36 ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), Y ), T
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.36 , Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), T ), Z )
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.96/2.36 Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), T ) )
% 1.96/2.36 ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), Z ), T
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.36 , Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), T )
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! ordere223160158up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.36 , Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T )
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! ordere223160158up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X )
% 1.96/2.36 , T ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), T ), Z )
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! ordere223160158up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.36 X, bool ), ord_less( X ), T ), U ) ), hBOOL( hAPP( X, bool, hAPP( X, fun
% 1.96/2.36 ( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus(
% 1.96/2.36 X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), U
% 1.96/2.36 ) ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.96/2.36 Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Z ), T ) )
% 1.96/2.36 ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), Y ), Z
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! ordere236663937imp_le( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.96/2.36 T ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), T ), Z ) )
% 1.96/2.36 ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), Y ), Z
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), X ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), Z ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), minus_minus( nat ), Z ), X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ),
% 1.96/2.36 X ), Z ) ), Y ) ) }.
% 1.96/2.36 { ! ordered_ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), T ), U ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), T ), U ) ) }.
% 1.96/2.36 { ! ordered_ab_group_add( X ), ! hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), Y ), Z ) = hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 minus_minus( X ), T ), U ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), T ), U ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! semilattice_sup( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 semilattice_sup_sup( X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.96/2.36 ), T ), Y ) ), Z ) ) }.
% 1.96/2.36 { ! semilattice_inf( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), semilattice_inf_inf( X
% 1.96/2.36 ), Y ), T ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), zero_zero( nat ) ) ) }.
% 1.96/2.36 { X = zero_zero( nat ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool )
% 1.96/2.36 , ord_less( nat ), zero_zero( nat ) ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), ! X = zero_zero( nat ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), zero_zero( nat ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), Y
% 1.96/2.36 ), X ) ), ! X = zero_zero( nat ) }.
% 1.96/2.36 { X = zero_zero( nat ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool )
% 1.96/2.36 , ord_less( nat ), zero_zero( nat ) ), X ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X )
% 1.96/2.36 , Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), Y ), hAPP( nat, nat, suc, X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), Y
% 1.96/2.36 ), hAPP( nat, nat, suc, X ) ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.36 fun( nat, bool ), ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), hAPP( nat, nat, suc, Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), X ), Y ) ), X = Y }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { ! X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, suc, X ) ), hAPP( nat, nat, suc, Y ) ) ), hBOOL( hAPP(
% 1.96/2.36 nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), hAPP( nat, nat, suc, X ) ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X )
% 1.96/2.36 , Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), X ), hAPP( nat, nat, suc, Y ) ) ), X = Y }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X )
% 1.96/2.36 , Y ) ), ! X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X )
% 1.96/2.36 , Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), X ), hAPP( nat, nat, suc, Y ) ) ), Y = X }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hAPP( nat, nat, suc, X ) = Y, hBOOL( hAPP( nat, bool, hAPP(
% 1.96/2.36 nat, fun( nat, bool ), ord_less( nat ), hAPP( nat, nat, suc, X ) ), Y ) )
% 1.96/2.36 }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), Y ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), hAPP( nat, nat, suc, X ) ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), hAPP( nat, nat, suc, Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), X ), Y ) ), X = Y }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, suc, X ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, suc, X ) ), hAPP( nat, nat, suc, Y ) ) ), hBOOL( hAPP(
% 1.96/2.36 nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), X ) ) }.
% 1.96/2.36 { X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat
% 1.96/2.36 ), X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), Y ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! X = Y }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), Y
% 1.96/2.36 ), X ) ), ! X = Y }.
% 1.96/2.36 { X = Y, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat
% 1.96/2.36 ), X ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), Y ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! Y = X }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! X = Y }.
% 1.96/2.36 { alpha45( X, Y, Z ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), Z ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), X, Z ), Y ) ) }.
% 1.96/2.36 { alpha45( X, Y, Z ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool )
% 1.96/2.36 , X, Z ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), X,
% 1.96/2.36 Z ), Y ) ) }.
% 1.96/2.36 { ! alpha45( X, Y, Z ), alpha48( X, Y, Z ), Y = Z }.
% 1.96/2.36 { ! alpha45( X, Y, Z ), alpha48( X, Y, Z ), ! hBOOL( hAPP( nat, bool, hAPP
% 1.96/2.36 ( nat, fun( nat, bool ), X, Z ), Y ) ) }.
% 1.96/2.36 { ! alpha48( X, Y, Z ), alpha45( X, Y, Z ) }.
% 1.96/2.36 { ! Y = Z, hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), X, Z ), Y )
% 1.96/2.36 ), alpha45( X, Y, Z ) }.
% 1.96/2.36 { ! alpha48( X, Y, Z ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool )
% 1.96/2.36 , ord_less( nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! alpha48( X, Y, Z ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool
% 1.96/2.36 ), X, Z ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), Y
% 1.96/2.36 ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), X, Z ), Y
% 1.96/2.36 ) ), alpha48( X, Y, Z ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! linorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), Y ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), Y ) ), ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! linorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linorder( X ), ! ti( X, Y ) = ti( X, Z ), ! hBOOL( hAPP( X, bool, hAPP
% 1.96/2.36 ( X, fun( X, bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), Y ) ), ti( X, Z ) = ti( X, Y ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), ! ti( X, Z ) = ti( X, Y ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), ! ti( X, Z ) = ti( X, Y ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), Y ) ), hBOOL( T ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! ord( X ), ! Y = Z, ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less( X ), Y ), T ) ) }.
% 1.96/2.36 { ! order( X ), ! ti( X, Y ) = ti( X, Z ), ! hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less( X ), T ), Z ) ), hBOOL( hAPP( X, bool, hAPP(
% 1.96/2.36 X, fun( X, bool ), ord_less( X ), T ), Y ) ) }.
% 1.96/2.36 { ! ord( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X
% 1.96/2.36 ), Y ), Z ) ), ! Z = T, hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), T ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), ! ti( X, Y ) = ti( X, T ), hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less( X ), T ), Z ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), T ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), T ) ) }.
% 1.96/2.36 { ! order( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less(
% 1.96/2.36 X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), T ), Y ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less( X ), T ), Z ) ) }.
% 1.96/2.36 { ! preorder( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linorder( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), Z ) ), ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! linordered_idom( X ), ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less( X ), Z ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), Y ),
% 1.96/2.36 Z ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X )
% 1.96/2.36 , Z ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), X ), Z ) )
% 1.96/2.36 , Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat
% 1.96/2.36 ), Y ), Z ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X )
% 1.96/2.36 , Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat ), Y
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ),
% 1.96/2.36 Y ) ) = X }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), hAPP( nat
% 1.96/2.36 , nat, suc, X ) ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), hAPP( nat, nat, suc, X ) ), Z ) ) ), hBOOL( hAPP( nat
% 1.96/2.36 , bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), Y
% 1.96/2.36 ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ),
% 1.96/2.36 hAPP( nat, nat, suc, X ) ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), times_times( nat ), hAPP( nat, nat, suc, X ) ), Z ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), minus_minus( nat ), X ), Y )
% 1.96/2.36 ), hAPP( nat, nat, suc, X ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), X ), Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), zero_zero( nat ) ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), X ), Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), zero_zero( nat ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), zero_zero( nat ) ), Y ) ), hBOOL( hAPP( nat,
% 1.96/2.36 bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), zero_zero( nat ) ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y )
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y )
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ),
% 1.96/2.36 Z ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), zero_zero( nat ) ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y )
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ),
% 1.96/2.36 Z ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), Y ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat
% 1.96/2.36 , fun( nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun( nat
% 1.96/2.36 , nat ), times_times( nat ), X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.36 nat, nat ), times_times( nat ), X ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y )
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Z ),
% 1.96/2.36 Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), zero_zero( nat ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), X ), Y )
% 1.96/2.36 ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), times_times( nat ), Z ),
% 1.96/2.36 Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less(
% 1.96/2.36 nat ), X ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), X ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat
% 1.96/2.36 , fun( nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun( nat
% 1.96/2.36 , nat ), times_times( nat ), X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.36 nat, nat ), times_times( nat ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), zero_zero( nat ) ), Z ) ), hBOOL( hAPP( nat, bool, hAPP
% 1.96/2.36 ( nat, fun( nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun
% 1.96/2.36 ( nat, nat ), times_times( nat ), X ), Z ) ), hAPP( nat, nat, hAPP( nat,
% 1.96/2.36 fun( nat, nat ), times_times( nat ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), zero_zero( nat ) ), Z ) ), hBOOL( hAPP( nat, bool, hAPP
% 1.96/2.36 ( nat, fun( nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun
% 1.96/2.36 ( nat, nat ), times_times( nat ), Z ), X ) ), hAPP( nat, nat, hAPP( nat,
% 1.96/2.36 fun( nat, nat ), times_times( nat ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), ! hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), X ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat, nat )
% 1.96/2.36 , times_times( nat ), X ), Z ), Y = Z }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), ! Y = Z, hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), times_times( nat ), X ), Y ) = hAPP( nat, nat, hAPP( nat, fun( nat
% 1.96/2.36 , nat ), times_times( nat ), X ), Z ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 times_times( nat ), X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat
% 1.96/2.36 ), times_times( nat ), X ), Z ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat,
% 1.96/2.36 fun( nat, bool ), ord_less( nat ), Y ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), Y ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat
% 1.96/2.36 , fun( nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP( nat, fun( nat
% 1.96/2.36 , nat ), times_times( nat ), X ), Y ) ), hAPP( nat, nat, hAPP( nat, fun(
% 1.96/2.36 nat, nat ), times_times( nat ), X ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), zero_zero( nat ) ), Y ) ), hBOOL( hAPP( nat,
% 1.96/2.36 bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), hAPP( nat, nat, hAPP
% 1.96/2.36 ( nat, fun( nat, nat ), minus_minus( nat ), Y ), X ) ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), X ), Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), Y ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), Y
% 1.96/2.36 ), X ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), zero_zero( nat ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 minus_minus( nat ), X ), Y ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X )
% 1.96/2.36 , hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), X ), Y ) ) ) ) }.
% 1.96/2.36 { hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X )
% 1.96/2.36 , hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), Y ), X ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), Y = hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat, fun( nat,
% 1.96/2.36 nat ), plus_plus( nat ), X ), skol101( X, Y ) ) ) }.
% 1.96/2.36 { ! Y = hAPP( nat, nat, suc, hAPP( nat, nat, hAPP( nat, fun( nat, nat ),
% 1.96/2.36 plus_plus( nat ), X ), Z ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat
% 1.96/2.36 , bool ), ord_less( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus
% 1.96/2.36 ( nat ), X ), Y ) ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool
% 1.96/2.36 ), ord_less( nat ), zero_zero( nat ) ), X ) ), hBOOL( hAPP( nat, bool,
% 1.96/2.36 hAPP( nat, fun( nat, bool ), ord_less( nat ), zero_zero( nat ) ), Y ) ) }
% 1.96/2.36 .
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat,
% 1.96/2.36 bool ), ord_less( nat ), zero_zero( nat ) ), hAPP( nat, nat, hAPP( nat,
% 1.96/2.36 fun( nat, nat ), plus_plus( nat ), X ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat,
% 1.96/2.36 bool ), ord_less( nat ), zero_zero( nat ) ), hAPP( nat, nat, hAPP( nat,
% 1.96/2.36 fun( nat, nat ), plus_plus( nat ), X ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ),
% 1.96/2.36 zero_zero( nat ) ), X ) ), X = hAPP( nat, nat, suc, skol102( X ) ) }.
% 1.96/2.36 { ! X = hAPP( nat, nat, suc, Y ), hBOOL( hAPP( nat, bool, hAPP( nat, fun(
% 1.96/2.36 nat, bool ), ord_less( nat ), zero_zero( nat ) ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), hAPP( nat, nat, suc, zero_zero( nat ) ) ) ), X = zero_zero( nat ) }.
% 1.96/2.36 { ! X = zero_zero( nat ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool
% 1.96/2.36 ), ord_less( nat ), X ), hAPP( nat, nat, suc, zero_zero( nat ) ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), hAPP( nat, nat, suc, Y ) ) ), X = zero_zero( nat ), alpha16( X, Y ) }
% 1.96/2.36 .
% 1.96/2.36 { ! X = zero_zero( nat ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool
% 1.96/2.36 ), ord_less( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { ! alpha16( X, Y ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), X ), hAPP( nat, nat, suc, Y ) ) ) }.
% 1.96/2.36 { ! alpha16( X, Y ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less( nat ), skol103( Z, Y ) ), Y ) ) }.
% 1.96/2.36 { ! alpha16( X, Y ), X = hAPP( nat, nat, suc, skol103( X, Y ) ) }.
% 1.96/2.36 { ! X = hAPP( nat, nat, suc, Z ), ! hBOOL( hAPP( nat, bool, hAPP( nat, fun
% 1.96/2.36 ( nat, bool ), ord_less( nat ), Z ), Y ) ), alpha16( X, Y ) }.
% 1.96/2.36 { ! linordered_semidom( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), one_one( X ) ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP( X
% 1.96/2.36 , fun( X, bool ), ord_less( X ), one_one( X ) ), Z ) ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), one_one( X ) ), hAPP( X, X
% 1.96/2.36 , hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! linordered_semidom( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less( X ), Y ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y
% 1.96/2.36 ), one_one( X ) ) ) ) }.
% 1.96/2.36 { ! linordered_semidom( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), one_one( X ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linordered_semidom( X ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , ord_less( X ), zero_zero( X ) ), one_one( X ) ) ) }.
% 1.96/2.36 { ! ordered_ab_group_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X
% 1.96/2.36 ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! ordered_ab_group_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), minus_minus( X )
% 1.96/2.36 , Y ), Z ) ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.36 X, bool ), ord_less( X ), T ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), T ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), T ), Y ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.36 X, bool ), ord_less( X ), T ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), Z ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! linord893533164strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.36 X, bool ), ord_less( X ), zero_zero( X ) ), T ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), T ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! linord20386208strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.36 X, bool ), ord_less( X ), zero_zero( X ) ), T ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), T ), Y ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! linord20386208strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun(
% 1.96/2.36 X, bool ), ord_less( X ), zero_zero( X ) ), T ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), Y ), T ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Z ), T ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), Z ), zero_zero( X ) ) ), hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! linord20386208strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ), Z ) ), hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP(
% 1.96/2.36 X, fun( X, X ), times_times( X ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), T ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), T ), Z ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), T ), Z ) ), hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! linord20386208strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), Y ), Z ) ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), zero_zero( X ) ), Z ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ), Y ) ) }.
% 1.96/2.36 { ! linord20386208strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), Y ), Z ) ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X
% 1.96/2.36 , bool ), ord_less( X ), zero_zero( X ) ), Y ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ), Z ) ) }.
% 1.96/2.36 { ! linord20386208strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), Z ), zero_zero( X ) ) ), hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP(
% 1.96/2.36 X, fun( X, X ), times_times( X ), Z ), Y ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linord20386208strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), Z ), zero_zero( X ) ) ), hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP(
% 1.96/2.36 X, fun( X, X ), times_times( X ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linord20386208strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ), Z ) ), hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), T ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Z ), T ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), Z ), T ) ), hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X
% 1.96/2.36 ), times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X )
% 1.96/2.36 , Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), T
% 1.96/2.36 ) ) ), alpha17( X, Y, Z, T ), alpha30( X, Y, Z, T ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! alpha17( X, Y, Z, T ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.36 , X ), times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! alpha30( X, Y, Z, T ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.36 , X ), times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! alpha30( X, Y, Z, T ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! alpha30( X, Y, Z, T ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), T ), Z ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), Y ),
% 1.96/2.36 zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), T ), Z ) ), alpha30( X, Y, Z, T ) }.
% 1.96/2.36 { ! alpha17( X, Y, Z, T ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), zero_zero( X ) ), Y ) ) }.
% 1.96/2.36 { ! alpha17( X, Y, Z, T ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), zero_zero
% 1.96/2.36 ( X ) ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Z ), T ) ), alpha17( X, Y, Z, T ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X )
% 1.96/2.36 , Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), T ), Z
% 1.96/2.36 ) ) ), alpha18( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! alpha18( X, Y, Z, T ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.36 , X ), times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! linord581940658strict( X ), ! alpha31( X, Y, Z, T ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.36 , X ), times_times( X ), Y ), Z ) ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 times_times( X ), T ), Z ) ) ) }.
% 1.96/2.36 { ! alpha31( X, Y, Z, T ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Z ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! alpha31( X, Y, Z, T ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), T ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), Z ),
% 1.96/2.36 zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), T ), Y ) ), alpha31( X, Y, Z, T ) }.
% 1.96/2.36 { ! alpha18( X, Y, Z, T ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), zero_zero( X ) ), Z ) ) }.
% 1.96/2.36 { ! alpha18( X, Y, Z, T ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), T ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), zero_zero
% 1.96/2.36 ( X ) ), Z ) ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less
% 1.96/2.36 ( X ), Y ), T ) ), alpha18( X, Y, Z, T ) }.
% 1.96/2.36 { ! linordered_ring( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), times_times( X ), Y ), Y
% 1.96/2.36 ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linordered_idom( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Y )
% 1.96/2.36 ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linordered_idom( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ),
% 1.96/2.36 ord_less( X ), Y ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool, hAPP( X,
% 1.96/2.36 fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ),
% 1.96/2.36 plus_plus( X ), Y ), Y ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linord219039673up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , plus_plus( X ), Y ), Y ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ) }.
% 1.96/2.36 { ! linord219039673up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ), hAPP( X, X,
% 1.96/2.36 hAPP( X, fun( X, X ), plus_plus( X ), Y ), Y ) ) ) }.
% 1.96/2.36 { ! linord219039673up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ),
% 1.96/2.36 Y ), Y ) ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! linord219039673up_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), zero_zero( X ) ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP( X, fun( X, X )
% 1.96/2.36 , plus_plus( X ), Y ), Y ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ), Z ) ), hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), zero_zero( X ) ),
% 1.96/2.36 hAPP( X, X, hAPP( X, fun( X, X ), plus_plus( X ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! linordered_semidom( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool
% 1.96/2.36 ), ord_less( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool, hAPP
% 1.96/2.36 ( X, fun( X, bool ), ord_less( X ), Z ), T ) ), hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), Z ), hAPP( X, X, hAPP( X, fun( X
% 1.96/2.36 , X ), plus_plus( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less( X ), Z ), zero_zero( X ) ) ), hBOOL(
% 1.96/2.36 hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP(
% 1.96/2.36 X, fun( X, X ), plus_plus( X ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { hAPP( fun( nat, bool ), nat, finite_card( nat ), hAPP( fun( nat, bool ),
% 1.96/2.36 fun( nat, bool ), collect( nat ), hAPP( nat, fun( nat, bool ), hAPP( fun
% 1.96/2.36 ( nat, fun( nat, bool ) ), fun( nat, fun( nat, bool ) ), combc( nat, nat
% 1.96/2.36 , bool ), ord_less( nat ) ), X ) ) ) = X }.
% 1.96/2.36 { hAPP( nat, fun( nat, bool ), ord_less( nat ), X ) = hAPP( nat, fun( nat,
% 1.96/2.36 bool ), ord_less_eq( nat ), hAPP( nat, nat, suc, X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), Y ), Z ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less
% 1.96/2.36 ( nat ), X ), hAPP( nat, nat, hAPP( nat, fun( nat, nat ), plus_plus( nat
% 1.96/2.36 ), Z ), Y ) ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ), ord_less( nat ), X
% 1.96/2.36 ), Y ) ), hBOOL( hAPP( nat, bool, hAPP( nat, fun( nat, bool ),
% 1.96/2.36 ord_less_eq( nat ), X ), Y ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less( X ), Z ), zero_zero( X ) ) ), hBOOL
% 1.96/2.36 ( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP
% 1.96/2.36 ( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), Y ), zero_zero( X ) ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), zero_zero( X ) ) ), hBOOL
% 1.96/2.36 ( hAPP( X, bool, hAPP( X, fun( X, bool ), ord_less( X ), hAPP( X, X, hAPP
% 1.96/2.36 ( X, fun( X, X ), plus_plus( X ), Y ), Z ) ), zero_zero( X ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less_eq( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool
% 1.96/2.36 , hAPP( X, fun( X, bool ), ord_less( X ), Z ), T ) ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), Z ), hAPP( X, X, hAPP( X,
% 1.96/2.36 fun( X, X ), plus_plus( X ), Y ), T ) ) ) }.
% 1.96/2.36 { ! ordere216010020id_add( X ), ! hBOOL( hAPP( X, bool, hAPP( X, fun( X,
% 1.96/2.36 bool ), ord_less( X ), zero_zero( X ) ), Y ) ), ! hBOOL( hAPP( X, bool,
% 1.96/2.36 hAPP( X, fun( X, bool ), ord_less_eq( X ), Z ), T ) ), hBOOL( hAPP( X,
% 1.96/2.36 bool, hAPP( X, fun( X, bool ), ord_less( X ), Z ), hAPP( X, X, hAPP( X,
% 1.96/2.36 fun( X, X ), plus_plus( X ), Y ), T ) ) ) }.
% 1.96/2.36 { bounded_lattice( bool ) }.
% 1.96/2.36 { ! bounded_lattice( X ), bounded_lattice( fun( Y, X ) ) }.
% 1.96/2.36 { ! bounded_lattice( X ), bounded_lattice_bot( fun( Y, X ) ) }.
% 1.96/2.36 { ! lattice( X ), semilattice_sup( fun( Y, X ) ) }.
% 1.96/2.36 { ! lattice( X ), semilattice_inf( fun( Y, X ) ) }.
% 1.96/2.36 { ! distrib_lattice( X ), distrib_lattice( fun( Y, X ) ) }.
% 1.96/2.36 { ! preorder( X ), preorder( fun( Y, X ) ) }.
% 1.96/2.36 { ! finite_finite( Y ), ! finite_finite( X ), finite_finite( fun( X, Y ) )
% 1.96/2.36 }.
% 1.96/2.36 { ! lattice( X ), lattice( fun( Y, X ) ) }.
% 1.96/2.36 { ! order( X ), order( fun( Y, X ) ) }.
% 1.96/2.36 { ! ord( X ), ord( fun( Y, X ) ) }.
% 1.96/2.36 { ! bot( X ), bot( fun( Y, X ) ) }.
% 1.96/2.36 { ! minus( X ), minus( fun( Y, X ) ) }.
% 1.96/2.36 { semiri456707255roduct( nat ) }.
% 1.96/2.36 { ordere223160158up_add( nat ) }.
% 1.96/2.36 { ordere236663937imp_le( nat ) }.
% 1.96/2.36 { linord893533164strict( nat ) }.
% 1.96/2.36 { linord20386208strict( nat ) }.
% 1.96/2.36 { ordere779506340up_add( nat ) }.
% 1.96/2.36 { ordere216010020id_add( nat ) }.
% 1.96/2.36 { cancel146912293up_add( nat ) }.
% 1.96/2.36 { ordere453448008miring( nat ) }.
% 1.96/2.36 { ordere1490568538miring( nat ) }.
% 1.96/2.36 { cancel_semigroup_add( nat ) }.
% 1.96/2.36 { linordered_semidom( nat ) }.
% 1.96/2.36 { semilattice_sup( nat ) }.
% 1.96/2.36 { semilattice_inf( nat ) }.
% 1.96/2.36 { distrib_lattice( nat ) }.
% 1.96/2.36 { ab_semigroup_mult( nat ) }.
% 1.96/2.36 { comm_monoid_mult( nat ) }.
% 1.96/2.36 { ab_semigroup_add( nat ) }.
% 1.96/2.36 { ordered_semiring( nat ) }.
% 1.96/2.36 { no_zero_divisors( nat ) }.
% 1.96/2.36 { comm_monoid_add( nat ) }.
% 1.96/2.36 { comm_semiring_1( nat ) }.
% 1.96/2.36 { comm_semiring( nat ) }.
% 1.96/2.36 { zero_neq_one( nat ) }.
% 1.96/2.36 { preorder( nat ) }.
% 1.96/2.36 { linorder( nat ) }.
% 1.96/2.36 { monoid_mult( nat ) }.
% 1.96/2.36 { monoid_add( nat ) }.
% 1.96/2.36 { lattice( nat ) }.
% 1.96/2.36 { mult_zero( nat ) }.
% 1.96/2.36 { order( nat ) }.
% 1.96/2.36 { semiring( nat ) }.
% 1.96/2.36 { ord( nat ) }.
% 1.96/2.36 { bot( nat ) }.
% 1.96/2.36 { minus( nat ) }.
% 1.96/2.36 { zero( nat ) }.
% 1.96/2.36 { one( nat ) }.
% 1.96/2.36 { bounded_lattice_bot( bool ) }.
% 1.96/2.36 { semilattice_sup( bool ) }.
% 1.96/2.36 { semilattice_inf( bool ) }.
% 1.96/2.36 { distrib_lattice( bool ) }.
% 1.96/2.36 { preorder( bool ) }.
% 1.96/2.36 { finite_finite( bool ) }.
% 1.96/2.36 { lattice( bool ) }.
% 1.96/2.36 { order( bool ) }.
% 1.96/2.36 { ord( bool ) }.
% 1.96/2.36 { bot( bool ) }.
% 1.96/2.36 { minus( bool ) }.
% 1.96/2.36 { ! finite_finite( Y ), ! finite_finite( X ), finite_finite( sum_sum( X, Y
% 1.96/2.36 ) ) }.
% 1.96/2.36 { ti( X, ti( X, Y ) ) = ti( X, Y ) }.
% 1.96/2.36 { hAPP( X, X, hAPP( X, fun( X, X ), hAPP( bool, fun( X, fun( X, X ) ), if(
% 1.96/2.36 X ), fTrue ), Y ), Z ) = ti( X, Y ) }.
% 1.96/2.36 { hAPP( X, X, hAPP( X, fun( X, X ), hAPP( bool, fun( X, fun( X, X ) ), if(
% 1.96/2.36 X ), fFalse ), Y ), Z ) = ti( X, Z ) }.
% 1.96/2.36 { ti( bool, X ) = fTrue, ti( bool, X ) = fFalse }.
% 1.96/2.36 { ! hBOOL( hAPP( bool, bool, fNot, X ) ), ! hBOOL( X ) }.
% 1.96/2.36 { hBOOL( X ), hBOOL( hAPP( bool, bool, fNot, X ) ) }.
% 1.96/2.36 { hAPP( X, Y, hAPP( fun( X, Z ), fun( X, Y ), hAPP( fun( Z, Y ), fun( fun(
% 1.96/2.36 X, Z ), fun( X, Y ) ), combb( Z, Y, X ), T ), U ), W ) = hAPP( Z, Y, T,
% 1.96/2.36 hAPP( X, Z, U, W ) ) }.
% 1.96/2.36 { hAPP( X, Y, hAPP( Z, fun( X, Y ), hAPP( fun( X, fun( Z, Y ) ), fun( Z,
% 1.96/2.36 fun( X, Y ) ), combc( X, Z, Y ), T ), U ), W ) = hAPP( Z, Y, hAPP( X, fun
% 1.96/2.36 ( Z, Y ), T, W ), U ) }.
% 1.96/2.36 { hAPP( X, X, combi( X ), Y ) = ti( X, Y ) }.
% 1.96/2.36 { hAPP( X, Y, hAPP( Y, fun( X, Y ), combk( Y, X ), Z ), T ) = ti( Y, Z ) }
% 1.96/2.36 .
% 1.96/2.36 { hAPP( X, Y, hAPP( fun( X, Z ), fun( X, Y ), hAPP( fun( X, fun( Z, Y ) ),
% 1.96/2.36 fun( fun( X, Z ), fun( X, Y ) ), combs( X, Z, Y ), T ), U ), W ) = hAPP(
% 1.96/2.36 Z, Y, hAPP( X, fun( Z, Y ), T, W ), hAPP( X, Z, U, W ) ) }.
% 1.96/2.36 { ! hBOOL( X ), ! hBOOL( Y ), hBOOL( hAPP( bool, bool, hAPP( bool, fun(
% 1.96/2.36 bool, bool ), fconj, X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ), fconj, X ), Y )
% 1.96/2.36 ), hBOOL( X ) }.
% 1.96/2.36 { ! hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ), fconj, Y ), X )
% 1.96/2.36 ), hBOOL( X ) }.
% 1.96/2.36 { ! hBOOL( X ), hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ),
% 1.96/2.36 fdisj, X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( X ), hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ),
% 1.96/2.36 fdisj, Y ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ), fdisj, X ), Y )
% 1.96/2.36 ), hBOOL( X ), hBOOL( Y ) }.
% 1.96/2.36 { ! hBOOL( fFalse ) }.
% 1.96/2.36 { ti( bool, X ) = fTrue, ti( bool, X ) = fFalse }.
% 1.96/2.36 { ! hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool ), fequal( X ), Y ), Z ) )
% 1.96/2.36 , ti( X, Y ) = ti( X, Z ) }.
% 1.96/2.36 { ! ti( X, Y ) = ti( X, Z ), hBOOL( hAPP( X, bool, hAPP( X, fun( X, bool )
% 1.96/2.36 , fequal( X ), Y ), Z ) ) }.
% 1.96/2.36 { hBOOL( X ), hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ),
% 1.96/2.36 fimplies, X ), Y ) ) }.
% 1.96/2.36 { ! hBOOL( X ), hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ),
% 1.96/2.36 fimplies, Y ), X ) ) }.
% 1.96/2.36 { ! hBOOL( hAPP( bool, bool, hAPP( bool, fun( bool, bool ), fimplies, X ),
% 1.96/2.36 Y ) ), ! hBOOL( X ), hBOOL( Y ) }.
% 1.96/2.36 { hBOOL( hAPP( fun( hoare_2118899576triple( x_a ), bool ), bool, hAPP(
% 1.96/2.36 hoare_2118899576triple( x_a ), fun( fun( hoare_2118899576triple( x_a ),
% 1.96/2.36 bool ), bool ), member( hoare_2118899576triple( x_a ) ), skol104( Y ) ),
% 1.96/2.36 hAPP( fun( hoare_2118899576triple( x_a ), bool ), fun(
% 1.96/2.36 hoare_2118899576triple( x_a ), bool ), hAPP( fun( hoare_2118899576triple
% 1.96/2.36 ( x_a ), bool ), fun( fun( hoare_2118899576triple( x_a ), bool ), fun(
% 1.96/2.36 hoare_2118899576triple( x_a ), bool ) ), semilattice_sup_sup( fun(
% 1.96/2.36 hoare_2118899576triple( x_a ), bool ) ), g ), hAPP( fun( pname, bool ),
% 1.96/2.36 fun( hoare_2118899576triple( x_a ), bool ), hAPP( fun( pname,
% 1.96/2.36 hoare_2118899576triple( x_a ) ), fun( fun( pname, bool ), fun(
% 1.96/2.36 hoare_2118899576triple( x_a ), bool ) ), image( pname,
% 1.96/2.36 hoare_2118899576triple( x_a ) ), hAPP( fun( pname, fun( x_a, fun( state,
% 1.96/2.36 bool ) ) ), fun( pname, hoare_2118899576triple( x_a ) ), hAPP( fun( pname
% 1.96/2.36 , fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a ) ) )
% 1.96/2.36 , fun( fun( pname, fun( x_a, fun( state, bool ) ) ), fun( pname,
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ), combs( pname, fun( x_a, fun( state,
% 1.96/2.36 bool ) ), hoare_2118899576triple( x_a ) ), hAPP( fun( pname, com ), fun(
% 1.96/2.36 pname, fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a )
% 1.96/2.36 ) ), hAPP( fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.36 fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a ) ) ) )
% 1.96/2.36 , combs( pname, com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ), hAPP( fun( pname, fun( x_a, fun( state
% 1.96/2.36 , bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ) ), hAPP( fun( fun( x_a, fun( state,
% 1.96/2.36 bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ) ), fun( fun( pname, fun( x_a, fun(
% 1.96/2.36 state, bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool
% 1.96/2.36 ) ), hoare_2118899576triple( x_a ) ) ) ) ), combb( fun( x_a, fun( state
% 1.96/2.36 , bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ), pname ), hoare_759811442triple( x_a )
% 1.96/2.36 ), p ) ), body ) ), q ) ), procs ) ) ) ), ! hBOOL( hAPP( fun(
% 1.96/2.36 hoare_2118899576triple( x_a ), bool ), bool, hAPP( hoare_2118899576triple
% 1.96/2.36 ( x_a ), fun( fun( hoare_2118899576triple( x_a ), bool ), bool ), member
% 1.96/2.36 ( hoare_2118899576triple( x_a ) ), Z ), hAPP( fun( pname, bool ), fun(
% 1.96/2.36 hoare_2118899576triple( x_a ), bool ), hAPP( fun( pname,
% 1.96/2.36 hoare_2118899576triple( x_a ) ), fun( fun( pname, bool ), fun(
% 1.96/2.36 hoare_2118899576triple( x_a ), bool ) ), image( pname,
% 1.96/2.36 hoare_2118899576triple( x_a ) ), hAPP( fun( pname, fun( x_a, fun( state,
% 1.96/2.36 bool ) ) ), fun( pname, hoare_2118899576triple( x_a ) ), hAPP( fun( pname
% 1.96/2.36 , fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a ) ) )
% 1.96/2.36 , fun( fun( pname, fun( x_a, fun( state, bool ) ) ), fun( pname,
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ), combs( pname, fun( x_a, fun( state,
% 1.96/2.36 bool ) ), hoare_2118899576triple( x_a ) ), hAPP( fun( pname, com ), fun(
% 1.96/2.36 pname, fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a )
% 1.96/2.36 ) ), hAPP( fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.36 fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a ) ) ) )
% 1.96/2.36 , combs( pname, com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ), hAPP( fun( pname, fun( x_a, fun( state
% 1.96/2.36 , bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ) ), hAPP( fun( fun( x_a, fun( state,
% 1.96/2.36 bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ) ), fun( fun( pname, fun( x_a, fun(
% 1.96/2.36 state, bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool
% 1.96/2.36 ) ), hoare_2118899576triple( x_a ) ) ) ) ), combb( fun( x_a, fun( state
% 1.96/2.36 , bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.36 hoare_2118899576triple( x_a ) ) ), pname ), hoare_759811442triple( x_a )
% 1.96/2.36 ), p ) ), hAPP( fun( pname, option( com ) ), fun( pname, com ), hAPP(
% 1.96/2.37 fun( option( com ), com ), fun( fun( pname, option( com ) ), fun( pname,
% 1.96/2.37 com ) ), combb( option( com ), com, pname ), the( com ) ), body_1 ) ) ),
% 1.96/2.37 q ) ), procs ) ) ), hBOOL( hAPP( hoare_2118899576triple( x_a ), bool,
% 1.96/2.37 hAPP( nat, fun( hoare_2118899576triple( x_a ), bool ),
% 1.96/2.37 hoare_1942962616_valid( x_a ), X ), Z ) ) }.
% 1.96/2.37 { ! hBOOL( hAPP( hoare_2118899576triple( x_a ), bool, hAPP( nat, fun(
% 1.96/2.37 hoare_2118899576triple( x_a ), bool ), hoare_1942962616_valid( x_a ), X )
% 1.96/2.37 , skol104( X ) ) ), ! hBOOL( hAPP( fun( hoare_2118899576triple( x_a ),
% 1.96/2.37 bool ), bool, hAPP( hoare_2118899576triple( x_a ), fun( fun(
% 1.96/2.37 hoare_2118899576triple( x_a ), bool ), bool ), member(
% 1.96/2.37 hoare_2118899576triple( x_a ) ), Y ), hAPP( fun( pname, bool ), fun(
% 1.96/2.37 hoare_2118899576triple( x_a ), bool ), hAPP( fun( pname,
% 1.96/2.37 hoare_2118899576triple( x_a ) ), fun( fun( pname, bool ), fun(
% 1.96/2.37 hoare_2118899576triple( x_a ), bool ) ), image( pname,
% 1.96/2.37 hoare_2118899576triple( x_a ) ), hAPP( fun( pname, fun( x_a, fun( state,
% 1.96/2.37 bool ) ) ), fun( pname, hoare_2118899576triple( x_a ) ), hAPP( fun( pname
% 1.96/2.37 , fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a ) ) )
% 1.96/2.37 , fun( fun( pname, fun( x_a, fun( state, bool ) ) ), fun( pname,
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ), combs( pname, fun( x_a, fun( state,
% 1.96/2.37 bool ) ), hoare_2118899576triple( x_a ) ), hAPP( fun( pname, com ), fun(
% 1.96/2.37 pname, fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a )
% 1.96/2.37 ) ), hAPP( fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.37 fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a ) ) ) )
% 1.96/2.37 , combs( pname, com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ), hAPP( fun( pname, fun( x_a, fun( state
% 1.96/2.37 , bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ) ), hAPP( fun( fun( x_a, fun( state,
% 1.96/2.37 bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ) ), fun( fun( pname, fun( x_a, fun(
% 1.96/2.37 state, bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool
% 1.96/2.37 ) ), hoare_2118899576triple( x_a ) ) ) ) ), combb( fun( x_a, fun( state
% 1.96/2.37 , bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ), pname ), hoare_759811442triple( x_a )
% 1.96/2.37 ), p ) ), hAPP( fun( pname, option( com ) ), fun( pname, com ), hAPP(
% 1.96/2.37 fun( option( com ), com ), fun( fun( pname, option( com ) ), fun( pname,
% 1.96/2.37 com ) ), combb( option( com ), com, pname ), the( com ) ), body_1 ) ) ),
% 1.96/2.37 q ) ), procs ) ) ), hBOOL( hAPP( hoare_2118899576triple( x_a ), bool,
% 1.96/2.37 hAPP( nat, fun( hoare_2118899576triple( x_a ), bool ),
% 1.96/2.37 hoare_1942962616_valid( x_a ), X ), Y ) ) }.
% 1.96/2.37 { ! hBOOL( hAPP( fun( hoare_2118899576triple( x_a ), bool ), bool, hAPP(
% 1.96/2.37 hoare_2118899576triple( x_a ), fun( fun( hoare_2118899576triple( x_a ),
% 1.96/2.37 bool ), bool ), member( hoare_2118899576triple( x_a ) ), X ), g ) ),
% 1.96/2.37 hBOOL( hAPP( hoare_2118899576triple( x_a ), bool, hAPP( nat, fun(
% 1.96/2.37 hoare_2118899576triple( x_a ), bool ), hoare_1942962616_valid( x_a ), n )
% 1.96/2.37 , X ) ) }.
% 1.96/2.37 { hBOOL( hAPP( fun( hoare_2118899576triple( x_a ), bool ), bool, hAPP(
% 1.96/2.37 hoare_2118899576triple( x_a ), fun( fun( hoare_2118899576triple( x_a ),
% 1.96/2.37 bool ), bool ), member( hoare_2118899576triple( x_a ) ), skol105 ), hAPP
% 1.96/2.37 ( fun( pname, bool ), fun( hoare_2118899576triple( x_a ), bool ), hAPP(
% 1.96/2.37 fun( pname, hoare_2118899576triple( x_a ) ), fun( fun( pname, bool ), fun
% 1.96/2.37 ( hoare_2118899576triple( x_a ), bool ) ), image( pname,
% 1.96/2.37 hoare_2118899576triple( x_a ) ), hAPP( fun( pname, fun( x_a, fun( state,
% 1.96/2.37 bool ) ) ), fun( pname, hoare_2118899576triple( x_a ) ), hAPP( fun( pname
% 1.96/2.37 , fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a ) ) )
% 1.96/2.37 , fun( fun( pname, fun( x_a, fun( state, bool ) ) ), fun( pname,
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ), combs( pname, fun( x_a, fun( state,
% 1.96/2.37 bool ) ), hoare_2118899576triple( x_a ) ), hAPP( fun( pname, com ), fun(
% 1.96/2.37 pname, fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a )
% 1.96/2.37 ) ), hAPP( fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ) ), fun( fun( pname, com ), fun( pname,
% 1.96/2.37 fun( fun( x_a, fun( state, bool ) ), hoare_2118899576triple( x_a ) ) ) )
% 1.96/2.37 , combs( pname, com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ), hAPP( fun( pname, fun( x_a, fun( state
% 1.96/2.37 , bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ) ), hAPP( fun( fun( x_a, fun( state,
% 1.96/2.37 bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ) ), fun( fun( pname, fun( x_a, fun(
% 1.96/2.37 state, bool ) ) ), fun( pname, fun( com, fun( fun( x_a, fun( state, bool
% 1.96/2.37 ) ), hoare_2118899576triple( x_a ) ) ) ) ), combb( fun( x_a, fun( state
% 1.96/2.37 , bool ) ), fun( com, fun( fun( x_a, fun( state, bool ) ),
% 1.96/2.37 hoare_2118899576triple( x_a ) ) ), pname ), hoare_759811442triple( x_a )
% 1.96/2.37 ), p ) ), body ) ), q ) ), procs ) ) ) }.
% 1.96/2.37 { ! hBOOL( hAPP( hoare_2118899576triple( x_a ), bool, hAPP( nat, fun(
% 1.96/2.37 hoare_2118899576triple( x_a ), bool ), hoare_1942962616_valid( x_a ), n )
% 1.96/2.37 , skol105 ) ) }.
% 1.96/2.37
% 1.96/2.37 *** allocated 15000 integers for clauses
% 1.96/2.37 *** allocated 22500 integers for clauses
% 1.96/2.37 *** allocated 33750 integers for clauses
% 1.96/2.37 *** allocated 50625 integers for clauses
% 1.96/2.37 *** allocated 75937 integers for clauses
% 1.96/2.37 *** allocated 113905 integers for clauses
% 1.96/2.37 *** allocated 170857 integers for clauses
% 1.96/2.37 percentage equality = 0.300697, percentage horn = 0.854993
% 1.96/2.37 This is a problem with some equality
% 1.96/2.37
% 1.96/2.37
% 1.96/2.37
% 1.96/2.37 Options Used:
% 1.96/2.37
% 1.96/2.37 useres = 1
% 1.96/2.37 useparamod = 1
% 1.96/2.37 useeqrefl = 1
% 1.96/2.37 useeqfact = 1
% 1.96/2.37 usefactor = 1
% 1.96/2.37 usesimpsplitting = 0
% 1.96/2.37 usesimpdemod = 5
% 1.96/2.37 usesimpres = 3
% 1.96/2.37
% 1.96/2.37 resimpinuse = 1000
% 1.96/2.37 resimpclauses = 20000
% 1.96/2.37 substype = eqrewr
% 1.96/2.37 backwardsubs = 1
% 1.96/2.37 selectoldest = 5
% 1.96/2.37
% 1.96/2.37 litorderings [0] = split
% 1.96/2.37 litorderings [1] = extend the termordering, first sorting on arguments
% 1.96/2.37
% 1.96/2.37 termordering = kbo
% 1.96/2.37
% 1.96/2.37 litapriori = 0
% 1.96/2.37 termapriori = 1
% 1.96/2.37 litaposteriori = 0
% 1.96/2.37 termaposteriori = 0
% 1.96/2.37 demodaposteriori = 0
% 1.96/2.37 ordereqreflfact = 0
% 1.96/2.37
% 1.96/2.37 litselect = negord
% 1.96/2.37
% 1.96/2.37 maxweight = 15
% 1.96/2.37 maxdepth = 30000
% 1.96/2.37 maxlength = 115
% 1.96/2.37 maxnrvars = 195
% 1.96/2.37 excuselevel = 1
% 1.96/2.37 increasemaxweight = 1
% 1.96/2.37
% 1.96/2.37 maxselected = 10000000
% 1.96/2.37 maxnrclauses = 10000000
% 1.96/2.37
% 1.96/2.37 showgenerated = 0
% 1.96/2.37 showkept = 0
% 1.96/2.37 showselected = 0
% 1.96/2.37 showdeleted = 0
% 1.96/2.37 showresimp = 1
% 1.96/2.37 showstatus = 2000
% 1.96/2.37
% 1.96/2.37 prologoutput = 0
% 1.96/2.37 nrgoals = 5000000
% 1.96/2.37 totalproof = 1
% 1.96/2.37
% 1.96/2.37 Symbols occurring in the translation:
% 1.96/2.37
% 1.96/2.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.96/2.37 . [1, 2] (w:1, o:312, a:1, s:1, b:0),
% 1.96/2.37 ! [4, 1] (w:0, o:191, a:1, s:1, b:0),
% 1.96/2.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.96/2.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.96/2.37 fun [37, 2] (w:1, o:336, a:1, s:1, b:0),
% 1.96/2.37 bool [38, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.96/2.37 big_comm_monoid_big [39, 2] (w:1, o:345, a:1, s:1, b:0),
% 1.96/2.37 ti [40, 2] (w:1, o:384, a:1, s:1, b:0),
% 1.96/2.37 lattice [41, 1] (w:1, o:196, a:1, s:1, b:0),
% 1.96/2.37 big_lattice_Inf_fin [42, 1] (w:1, o:201, a:1, s:1, b:0),
% 1.96/2.37 big_lattice_Sup_fin [43, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.96/2.37 big_semilattice_big [44, 1] (w:1, o:203, a:1, s:1, b:0),
% 1.96/2.37 combb [46, 3] (w:1, o:393, a:1, s:1, b:0),
% 1.96/2.37 combc [47, 3] (w:1, o:394, a:1, s:1, b:0),
% 1.96/2.37 combi [48, 1] (w:1, o:209, a:1, s:1, b:0),
% 1.96/2.37 combk [49, 2] (w:1, o:385, a:1, s:1, b:0),
% 1.96/2.37 combs [50, 3] (w:1, o:395, a:1, s:1, b:0),
% 1.96/2.37 pname [51, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.96/2.37 com [52, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.96/2.37 option [53, 1] (w:1, o:223, a:1, s:1, b:0),
% 1.96/2.37 body_1 [54, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.96/2.37 body [55, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.96/2.37 state [56, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.96/2.37 cond [57, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.96/2.37 skip [58, 0] (w:1, o:19, a:1, s:1, b:0),
% 1.96/2.37 semi [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.96/2.37 while [60, 0] (w:1, o:21, a:1, s:1, b:0),
% 1.96/2.37 nat [61, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.96/2.37 com_size [62, 0] (w:1, o:17, a:1, s:1, b:0),
% 1.96/2.37 finite_card [63, 1] (w:1, o:224, a:1, s:1, b:0),
% 1.96/2.37 finite_comp_fun_idem [64, 2] (w:1, o:386, a:1, s:1, b:0),
% 1.96/2.37 finite_finite_1 [65, 1] (w:1, o:225, a:1, s:1, b:0),
% 1.96/2.37 finite_fold1 [66, 1] (w:1, o:226, a:1, s:1, b:0),
% 1.96/2.37 finite_fold1Set [67, 1] (w:1, o:227, a:1, s:1, b:0),
% 1.96/2.37 finite_fold_image [68, 2] (w:1, o:387, a:1, s:1, b:0),
% 1.96/2.37 finite1357897459simple [69, 2] (w:1, o:388, a:1, s:1, b:0),
% 1.96/2.37 finite908156982e_idem [70, 2] (w:1, o:389, a:1, s:1, b:0),
% 1.96/2.37 finite_folding_one [71, 1] (w:1, o:228, a:1, s:1, b:0),
% 1.96/2.37 finite2073411215e_idem [72, 1] (w:1, o:229, a:1, s:1, b:0),
% 1.96/2.37 minus [73, 1] (w:1, o:230, a:1, s:1, b:0),
% 1.96/2.37 minus_minus [74, 1] (w:1, o:231, a:1, s:1, b:0),
% 1.96/2.37 one [75, 1] (w:1, o:232, a:1, s:1, b:0),
% 1.96/2.37 one_one [76, 1] (w:1, o:233, a:1, s:1, b:0),
% 1.96/2.37 monoid_add [77, 1] (w:1, o:234, a:1, s:1, b:0),
% 1.96/2.37 plus_plus [78, 1] (w:1, o:248, a:1, s:1, b:0),
% 1.96/2.37 cancel_semigroup_add [79, 1] (w:1, o:249, a:1, s:1, b:0),
% 1.96/2.37 ab_semigroup_add [80, 1] (w:1, o:197, a:1, s:1, b:0),
% 1.96/2.37 monoid_mult [81, 1] (w:1, o:250, a:1, s:1, b:0),
% 1.96/2.37 times_times [82, 1] (w:1, o:286, a:1, s:1, b:0),
% 1.96/2.37 no_zero_divisors [83, 1] (w:1, o:221, a:1, s:1, b:0),
% 1.96/2.37 mult_zero [84, 1] (w:1, o:219, a:1, s:1, b:0),
% 1.96/2.37 ab_semigroup_mult [85, 1] (w:1, o:198, a:1, s:1, b:0),
% 1.96/2.37 semiring [86, 1] (w:1, o:253, a:1, s:1, b:0),
% 1.96/2.37 zero [87, 1] (w:1, o:287, a:1, s:1, b:0),
% 1.96/2.37 zero_zero [88, 1] (w:1, o:288, a:1, s:1, b:0),
% 1.96/2.37 the_1 [89, 1] (w:1, o:283, a:1, s:1, b:0),
% 1.96/2.37 undefined [90, 1] (w:1, o:289, a:1, s:1, b:0),
% 1.96/2.37 hoare_2118899576triple [91, 1] (w:1, o:294, a:1, s:1, b:0),
% 1.96/2.37 hoare_Mirabelle_MGT [92, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.96/2.37 hoare_1301688828derivs [93, 1] (w:1, o:291, a:1, s:1, b:0),
% 1.96/2.37 hoare_902341502valids [94, 1] (w:1, o:295, a:1, s:1, b:0),
% 1.96/2.37 hoare_759811442triple [95, 1] (w:1, o:296, a:1, s:1, b:0),
% 1.96/2.37 hoare_225284258e_case [96, 2] (w:1, o:391, a:1, s:1, b:0),
% 1.96/2.37 hoare_1759541758le_rec [97, 2] (w:1, o:390, a:1, s:1, b:0),
% 1.96/2.37 hoare_2043812435e_size [98, 1] (w:1, o:293, a:1, s:1, b:0),
% 1.96/2.37 hoare_1942962616_valid [99, 1] (w:1, o:292, a:1, s:1, b:0),
% 1.96/2.37 if [100, 1] (w:1, o:298, a:1, s:1, b:0),
% 1.96/2.37 semilattice_inf [101, 1] (w:1, o:254, a:1, s:1, b:0),
% 1.96/2.37 semilattice_inf_inf [102, 1] (w:1, o:255, a:1, s:1, b:0),
% 1.96/2.37 semilattice_sup [103, 1] (w:1, o:256, a:1, s:1, b:0),
% 1.96/2.37 semilattice_sup_sup [104, 1] (w:1, o:257, a:1, s:1, b:0),
% 1.96/2.37 suc [105, 0] (w:1, o:25, a:1, s:1, b:0),
% 1.96/2.37 nat_case [106, 1] (w:1, o:222, a:1, s:1, b:0),
% 1.96/2.37 size_size [107, 1] (w:1, o:258, a:1, s:1, b:0),
% 1.96/2.37 evalc [108, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.96/2.37 evaln [109, 0] (w:1, o:27, a:1, s:1, b:0),
% 1.96/2.37 the [110, 1] (w:1, o:284, a:1, s:1, b:0),
% 1.96/2.37 bot [111, 1] (w:1, o:204, a:1, s:1, b:0),
% 1.96/2.37 bot_bot [112, 1] (w:1, o:205, a:1, s:1, b:0),
% 1.96/2.37 ord [113, 1] (w:1, o:235, a:1, s:1, b:0),
% 1.96/2.37 ord_less [114, 1] (w:1, o:236, a:1, s:1, b:0),
% 1.96/2.37 ord_less_eq [115, 1] (w:1, o:237, a:1, s:1, b:0),
% 1.96/2.37 partial_flat_lub [116, 1] (w:1, o:299, a:1, s:1, b:0),
% 1.96/2.37 powp [117, 1] (w:1, o:300, a:1, s:1, b:0),
% 1.96/2.37 collect [118, 1] (w:1, o:208, a:1, s:1, b:0),
% 1.96/2.37 image [119, 2] (w:1, o:392, a:1, s:1, b:0),
% 1.96/2.37 insert [120, 1] (w:1, o:301, a:1, s:1, b:0),
% 1.96/2.37 the_elem [121, 1] (w:1, o:285, a:1, s:1, b:0),
% 1.96/2.37 sum_sum [122, 2] (w:1, o:346, a:1, s:1, b:0),
% 1.96/2.37 sum_Plus [123, 2] (w:1, o:347, a:1, s:1, b:0),
% 1.96/2.37 fFalse [124, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.96/2.37 fNot [125, 0] (w:1, o:29, a:1, s:1, b:0),
% 1.96/2.37 fTrue [126, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.96/2.37 fconj [127, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.96/2.37 fdisj [128, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.96/2.37 fequal [129, 1] (w:1, o:302, a:1, s:1, b:0),
% 1.96/2.37 fimplies [130, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.96/2.37 hAPP [133, 4] (w:1, o:453, a:1, s:1, b:0),
% 1.96/2.37 hBOOL [134, 1] (w:1, o:297, a:1, s:1, b:0),
% 1.96/2.37 member [135, 1] (w:1, o:220, a:1, s:1, b:0),
% 1.96/2.37 x_a [136, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.96/2.38 g [137, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.96/2.38 p [138, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.96/2.38 procs [139, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.96/2.38 q [140, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.96/2.38 n [141, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.96/2.38 bounded_lattice_bot [197, 1] (w:1, o:206, a:1, s:1, b:0),
% 1.96/2.38 finite_finite [246, 1] (w:1, o:303, a:1, s:1, b:0),
% 1.96/2.38 distrib_lattice [251, 1] (w:1, o:309, a:1, s:1, b:0),
% 1.96/2.38 group_add [254, 1] (w:1, o:290, a:1, s:1, b:0),
% 1.96/2.38 ab_group_add [255, 1] (w:1, o:199, a:1, s:1, b:0),
% 1.96/2.38 zero_neq_one [262, 1] (w:1, o:310, a:1, s:1, b:0),
% 1.96/2.38 cancel146912293up_add [263, 1] (w:1, o:304, a:1, s:1, b:0),
% 1.96/2.38 comm_monoid_add [264, 1] (w:1, o:305, a:1, s:1, b:0),
% 1.96/2.38 linord219039673up_add [265, 1] (w:1, o:212, a:1, s:1, b:0),
% 1.96/2.38 semiri456707255roduct [266, 1] (w:1, o:259, a:1, s:1, b:0),
% 1.96/2.38 comm_semiring_1 [267, 1] (w:1, o:306, a:1, s:1, b:0),
% 1.96/2.38 comm_monoid_mult [270, 1] (w:1, o:307, a:1, s:1, b:0),
% 1.96/2.38 comm_semiring [273, 1] (w:1, o:308, a:1, s:1, b:0),
% 1.96/2.38 ab_sem1668676832m_mult [278, 1] (w:1, o:200, a:1, s:1, b:0),
% 1.96/2.38 ring_n68954251visors [279, 1] (w:1, o:251, a:1, s:1, b:0),
% 1.96/2.38 linord581940658strict [280, 1] (w:1, o:213, a:1, s:1, b:0),
% 1.96/2.38 ring [282, 1] (w:1, o:252, a:1, s:1, b:0),
% 1.96/2.38 preorder [289, 1] (w:1, o:311, a:1, s:1, b:0),
% 1.96/2.38 linorder [292, 1] (w:1, o:214, a:1, s:1, b:0),
% 1.96/2.38 order [293, 1] (w:1, o:238, a:1, s:1, b:0),
% 1.96/2.38 ordered_ab_group_add [294, 1] (w:1, o:239, a:1, s:1, b:0),
% 1.96/2.38 ordere236663937imp_le [296, 1] (w:1, o:242, a:1, s:1, b:0),
% 1.96/2.38 ordere779506340up_add [297, 1] (w:1, o:243, a:1, s:1, b:0),
% 1.96/2.38 ordere216010020id_add [299, 1] (w:1, o:244, a:1, s:1, b:0),
% 1.96/2.38 ordere453448008miring [300, 1] (w:1, o:245, a:1, s:1, b:0),
% 1.96/2.38 ordered_ring [301, 1] (w:1, o:246, a:1, s:1, b:0),
% 1.96/2.38 ordered_semiring [302, 1] (w:1, o:247, a:1, s:1, b:0),
% 1.96/2.38 ordere1490568538miring [303, 1] (w:1, o:240, a:1, s:1, b:0),
% 1.96/2.38 linordered_ring [304, 1] (w:1, o:215, a:1, s:1, b:0),
% 1.96/2.38 linordered_semidom [305, 1] (w:1, o:216, a:1, s:1, b:0),
% 1.96/2.38 linordered_idom [307, 1] (w:1, o:217, a:1, s:1, b:0),
% 1.96/2.38 linord1278240602ring_1 [309, 1] (w:1, o:210, a:1, s:1, b:0),
% 1.96/2.38 ordere223160158up_add [318, 1] (w:1, o:241, a:1, s:1, b:0),
% 1.96/2.38 linord893533164strict [320, 1] (w:1, o:218, a:1, s:1, b:0),
% 1.96/2.38 linord20386208strict [321, 1] (w:1, o:211, a:1, s:1, b:0),
% 1.96/2.38 bounded_lattice [322, 1] (w:1, o:207, a:1, s:1, b:0),
% 1.96/2.38 alpha1 [329, 4] (w:1, o:454, a:1, s:1, b:1),
% 1.96/2.38 alpha2 [330, 3] (w:1, o:399, a:1, s:1, b:1),
% 1.96/2.38 alpha3 [331, 3] (w:1, o:405, a:1, s:1, b:1),
% 1.96/2.38 alpha4 [332, 3] (w:1, o:410, a:1, s:1, b:1),
% 1.96/2.38 alpha5 [333, 5] (w:1, o:482, a:1, s:1, b:1),
% 1.96/2.38 alpha6 [334, 6] (w:1, o:503, a:1, s:1, b:1),
% 1.96/2.38 alpha7 [335, 2] (w:1, o:337, a:1, s:1, b:1),
% 1.96/2.38 alpha8 [336, 3] (w:1, o:411, a:1, s:1, b:1),
% 1.96/2.38 alpha9 [337, 3] (w:1, o:412, a:1, s:1, b:1),
% 1.96/2.38 alpha10 [338, 2] (w:1, o:338, a:1, s:1, b:1),
% 1.96/2.38 alpha11 [339, 2] (w:1, o:339, a:1, s:1, b:1),
% 1.96/2.38 alpha12 [340, 4] (w:1, o:455, a:1, s:1, b:1),
% 1.96/2.38 alpha13 [341, 3] (w:1, o:396, a:1, s:1, b:1),
% 1.96/2.38 alpha14 [342, 3] (w:1, o:397, a:1, s:1, b:1),
% 1.96/2.38 alpha15 [343, 4] (w:1, o:456, a:1, s:1, b:1),
% 1.96/2.38 alpha16 [344, 2] (w:1, o:340, a:1, s:1, b:1),
% 1.96/2.38 alpha17 [345, 4] (w:1, o:457, a:1, s:1, b:1),
% 1.96/2.38 alpha18 [346, 4] (w:1, o:458, a:1, s:1, b:1),
% 1.96/2.38 alpha19 [347, 3] (w:1, o:398, a:1, s:1, b:1),
% 1.96/2.38 alpha20 [348, 3] (w:1, o:400, a:1, s:1, b:1),
% 1.96/2.38 alpha21 [349, 3] (w:1, o:401, a:1, s:1, b:1),
% 1.96/2.38 alpha22 [350, 5] (w:1, o:483, a:1, s:1, b:1),
% 1.96/2.38 alpha23 [351, 4] (w:1, o:459, a:1, s:1, b:1),
% 1.96/2.38 alpha24 [352, 3] (w:1, o:402, a:1, s:1, b:1),
% 1.96/2.38 alpha25 [353, 2] (w:1, o:341, a:1, s:1, b:1),
% 1.96/2.38 alpha26 [354, 2] (w:1, o:342, a:1, s:1, b:1),
% 1.96/2.38 alpha27 [355, 3] (w:1, o:403, a:1, s:1, b:1),
% 1.96/2.38 alpha28 [356, 3] (w:1, o:404, a:1, s:1, b:1),
% 1.96/2.38 alpha29 [357, 4] (w:1, o:460, a:1, s:1, b:1),
% 1.96/2.38 alpha30 [358, 4] (w:1, o:461, a:1, s:1, b:1),
% 1.96/2.38 alpha31 [359, 4] (w:1, o:462, a:1, s:1, b:1),
% 2.07/2.40 alpha32 [360, 4] (w:1, o:463, a:1, s:1, b:1),
% 2.07/2.40 alpha33 [361, 4] (w:1, o:464, a:1, s:1, b:1),
% 2.07/2.40 alpha34 [362, 3] (w:1, o:406, a:1, s:1, b:1),
% 2.07/2.40 alpha35 [363, 3] (w:1, o:407, a:1, s:1, b:1),
% 2.07/2.40 alpha36 [364, 3] (w:1, o:408, a:1, s:1, b:1),
% 2.07/2.40 alpha37 [365, 2] (w:1, o:343, a:1, s:1, b:1),
% 2.07/2.40 alpha38 [366, 3] (w:1, o:409, a:1, s:1, b:1),
% 2.07/2.40 alpha39 [367, 4] (w:1, o:465, a:1, s:1, b:1),
% 2.07/2.40 alpha40 [368, 6] (w:1, o:504, a:1, s:1, b:1),
% 2.07/2.40 alpha41 [369, 2] (w:1, o:344, a:1, s:1, b:1),
% 2.07/2.40 alpha42 [370, 5] (w:1, o:481, a:1, s:1, b:1),
% 2.07/2.40 alpha43 [371, 4] (w:1, o:466, a:1, s:1, b:1),
% 2.07/2.40 alpha44 [372, 4] (w:1, o:467, a:1, s:1, b:1),
% 2.07/2.40 alpha45 [373, 3] (w:1, o:413, a:1, s:1, b:1),
% 2.07/2.40 alpha46 [374, 3] (w:1, o:414, a:1, s:1, b:1),
% 2.07/2.40 alpha47 [375, 4] (w:1, o:468, a:1, s:1, b:1),
% 2.07/2.40 alpha48 [376, 3] (w:1, o:415, a:1, s:1, b:1),
% 2.07/2.40 skol1 [377, 3] (w:1, o:416, a:1, s:1, b:1),
% 2.07/2.40 skol2 [378, 3] (w:1, o:425, a:1, s:1, b:1),
% 2.07/2.40 skol3 [379, 3] (w:1, o:429, a:1, s:1, b:1),
% 2.07/2.40 skol4 [380, 5] (w:1, o:486, a:1, s:1, b:1),
% 2.07/2.40 skol5 [381, 4] (w:1, o:470, a:1, s:1, b:1),
% 2.07/2.40 skol6 [382, 3] (w:1, o:436, a:1, s:1, b:1),
% 2.07/2.40 skol7 [383, 3] (w:1, o:438, a:1, s:1, b:1),
% 2.07/2.40 skol8 [384, 4] (w:1, o:472, a:1, s:1, b:1),
% 2.07/2.40 skol9 [385, 3] (w:1, o:441, a:1, s:1, b:1),
% 2.07/2.40 skol10 [386, 3] (w:1, o:417, a:1, s:1, b:1),
% 2.07/2.40 skol11 [387, 5] (w:1, o:488, a:1, s:1, b:1),
% 2.07/2.40 skol12 [388, 2] (w:1, o:353, a:1, s:1, b:1),
% 2.07/2.40 skol13 [389, 5] (w:1, o:489, a:1, s:1, b:1),
% 2.07/2.40 skol14 [390, 3] (w:1, o:418, a:1, s:1, b:1),
% 2.07/2.40 skol15 [391, 3] (w:1, o:419, a:1, s:1, b:1),
% 2.07/2.40 skol16 [392, 2] (w:1, o:354, a:1, s:1, b:1),
% 2.07/2.40 skol17 [393, 2] (w:1, o:355, a:1, s:1, b:1),
% 2.07/2.40 skol18 [394, 4] (w:1, o:473, a:1, s:1, b:1),
% 2.07/2.40 skol19 [395, 2] (w:1, o:356, a:1, s:1, b:1),
% 2.07/2.40 skol20 [396, 2] (w:1, o:368, a:1, s:1, b:1),
% 2.07/2.40 skol21 [397, 5] (w:1, o:493, a:1, s:1, b:1),
% 2.07/2.40 skol22 [398, 3] (w:1, o:426, a:1, s:1, b:1),
% 2.07/2.40 skol23 [399, 3] (w:1, o:427, a:1, s:1, b:1),
% 2.07/2.40 skol24 [400, 5] (w:1, o:494, a:1, s:1, b:1),
% 2.07/2.40 skol25 [401, 1] (w:1, o:270, a:1, s:1, b:1),
% 2.07/2.40 skol26 [402, 1] (w:1, o:271, a:1, s:1, b:1),
% 2.07/2.40 skol27 [403, 1] (w:1, o:272, a:1, s:1, b:1),
% 2.07/2.40 skol28 [404, 1] (w:1, o:273, a:1, s:1, b:1),
% 2.07/2.40 skol29 [405, 3] (w:1, o:428, a:1, s:1, b:1),
% 2.07/2.40 skol30 [406, 5] (w:1, o:484, a:1, s:1, b:1),
% 2.07/2.40 skol31 [407, 6] (w:1, o:505, a:1, s:1, b:1),
% 2.07/2.40 skol32 [408, 4] (w:1, o:474, a:1, s:1, b:1),
% 2.07/2.40 skol33 [409, 4] (w:1, o:475, a:1, s:1, b:1),
% 2.07/2.40 skol34 [410, 5] (w:1, o:485, a:1, s:1, b:1),
% 2.07/2.40 skol35 [411, 3] (w:1, o:442, a:1, s:1, b:1),
% 2.07/2.40 skol36 [412, 8] (w:1, o:510, a:1, s:1, b:1),
% 2.07/2.40 skol37 [413, 6] (w:1, o:506, a:1, s:1, b:1),
% 2.07/2.40 skol38 [414, 3] (w:1, o:443, a:1, s:1, b:1),
% 2.07/2.40 skol39 [415, 4] (w:1, o:476, a:1, s:1, b:1),
% 2.07/2.40 skol40 [416, 5] (w:1, o:495, a:1, s:1, b:1),
% 2.07/2.40 skol41 [417, 2] (w:1, o:369, a:1, s:1, b:1),
% 2.07/2.40 skol42 [418, 3] (w:1, o:444, a:1, s:1, b:1),
% 2.07/2.40 skol43 [419, 2] (w:1, o:370, a:1, s:1, b:1),
% 2.07/2.40 skol44 [420, 4] (w:1, o:469, a:1, s:1, b:1),
% 2.07/2.40 skol45 [421, 2] (w:1, o:371, a:1, s:1, b:1),
% 2.07/2.40 skol46 [422, 2] (w:1, o:372, a:1, s:1, b:1),
% 2.07/2.40 skol47 [423, 3] (w:1, o:445, a:1, s:1, b:1),
% 2.07/2.40 skol48 [424, 3] (w:1, o:446, a:1, s:1, b:1),
% 2.07/2.40 skol49 [425, 3] (w:1, o:447, a:1, s:1, b:1),
% 2.07/2.40 skol50 [426, 2] (w:1, o:373, a:1, s:1, b:1),
% 2.07/2.40 skol51 [427, 5] (w:1, o:496, a:1, s:1, b:1),
% 2.07/2.40 skol52 [428, 3] (w:1, o:430, a:1, s:1, b:1),
% 2.07/2.40 skol53 [429, 3] (w:1, o:431, a:1, s:1, b:1),
% 2.07/2.40 skol54 [430, 3] (w:1, o:432, a:1, s:1, b:1),
% 2.07/2.40 skol55 [431, 3] (w:1, o:433, a:1, s:1, b:1),
% 2.07/2.40 skol56 [432, 2] (w:1, o:374, a:1, s:1, b:1),
% 2.07/2.40 skol57 [433, 3] (w:1, o:434, a:1, s:1, b:1),
% 2.07/2.40 skol58 [434, 3] (w:1, o:435, a:1, s:1, b:1),
% 2.07/2.40 skol59 [435, 2] (w:1, o:375, a:1, s:1, b:1),
% 2.07/2.40 skol60 [436, 1] (w:1, o:274, a:1, s:1, b:1),
% 2.07/2.40 skol61 [437, 2] (w:1, o:376, a:1, s:1, b:1),
% 7.41/7.78 skol62 [438, 3] (w:1, o:437, a:1, s:1, b:1),
% 7.41/7.78 skol63 [439, 1] (w:1, o:275, a:1, s:1, b:1),
% 7.41/7.78 skol64 [440, 1] (w:1, o:276, a:1, s:1, b:1),
% 7.41/7.78 skol65 [441, 6] (w:1, o:507, a:1, s:1, b:1),
% 7.41/7.78 skol66 [442, 5] (w:1, o:497, a:1, s:1, b:1),
% 7.41/7.78 skol67 [443, 1] (w:1, o:277, a:1, s:1, b:1),
% 7.41/7.78 skol68 [444, 2] (w:1, o:377, a:1, s:1, b:1),
% 7.41/7.78 skol69 [445, 1] (w:1, o:278, a:1, s:1, b:1),
% 7.41/7.78 skol70 [446, 3] (w:1, o:448, a:1, s:1, b:1),
% 7.41/7.78 skol71 [447, 3] (w:1, o:449, a:1, s:1, b:1),
% 7.41/7.78 skol72 [448, 2] (w:1, o:378, a:1, s:1, b:1),
% 7.41/7.78 skol73 [449, 3] (w:1, o:450, a:1, s:1, b:1),
% 7.41/7.78 skol74 [450, 5] (w:1, o:498, a:1, s:1, b:1),
% 7.41/7.78 skol75 [451, 4] (w:1, o:471, a:1, s:1, b:1),
% 7.41/7.78 skol76 [452, 5] (w:1, o:499, a:1, s:1, b:1),
% 7.41/7.78 skol77 [453, 9] (w:1, o:511, a:1, s:1, b:1),
% 7.41/7.78 skol78 [454, 6] (w:1, o:508, a:1, s:1, b:1),
% 7.41/7.78 skol79 [455, 6] (w:1, o:509, a:1, s:1, b:1),
% 7.41/7.78 skol80 [456, 2] (w:1, o:379, a:1, s:1, b:1),
% 7.41/7.78 skol81 [457, 4] (w:1, o:477, a:1, s:1, b:1),
% 7.41/7.78 skol82 [458, 2] (w:1, o:380, a:1, s:1, b:1),
% 7.41/7.78 skol83 [459, 3] (w:1, o:439, a:1, s:1, b:1),
% 7.41/7.78 skol84 [460, 2] (w:1, o:381, a:1, s:1, b:1),
% 7.41/7.78 skol85 [461, 1] (w:1, o:279, a:1, s:1, b:1),
% 7.41/7.78 skol86 [462, 5] (w:1, o:500, a:1, s:1, b:1),
% 7.41/7.78 skol87 [463, 2] (w:1, o:382, a:1, s:1, b:1),
% 7.41/7.78 skol88 [464, 3] (w:1, o:440, a:1, s:1, b:1),
% 7.41/7.78 skol89 [465, 4] (w:1, o:478, a:1, s:1, b:1),
% 7.41/7.78 skol90 [466, 3] (w:1, o:451, a:1, s:1, b:1),
% 7.41/7.78 skol91 [467, 5] (w:1, o:501, a:1, s:1, b:1),
% 7.41/7.78 skol92 [468, 4] (w:1, o:479, a:1, s:1, b:1),
% 7.41/7.78 skol93 [469, 1] (w:1, o:280, a:1, s:1, b:1),
% 7.41/7.78 skol94 [470, 2] (w:1, o:383, a:1, s:1, b:1),
% 7.41/7.78 skol95 [471, 5] (w:1, o:502, a:1, s:1, b:1),
% 7.41/7.78 skol96 [472, 4] (w:1, o:480, a:1, s:1, b:1),
% 7.41/7.78 skol97 [473, 1] (w:1, o:281, a:1, s:1, b:1),
% 7.41/7.78 skol98 [474, 1] (w:1, o:282, a:1, s:1, b:1),
% 7.41/7.78 skol99 [475, 3] (w:1, o:452, a:1, s:1, b:1),
% 7.41/7.78 skol100 [476, 1] (w:1, o:260, a:1, s:1, b:1),
% 7.41/7.78 skol101 [477, 2] (w:1, o:357, a:1, s:1, b:1),
% 7.41/7.78 skol102 [478, 1] (w:1, o:261, a:1, s:1, b:1),
% 7.41/7.78 skol103 [479, 2] (w:1, o:358, a:1, s:1, b:1),
% 7.41/7.78 skol104 [480, 1] (w:1, o:262, a:1, s:1, b:1),
% 7.41/7.78 skol105 [481, 0] (w:1, o:190, a:1, s:1, b:1),
% 7.41/7.78 skol106 [482, 2] (w:1, o:359, a:1, s:1, b:1),
% 7.41/7.78 skol107 [483, 5] (w:1, o:487, a:1, s:1, b:1),
% 7.41/7.78 skol108 [484, 3] (w:1, o:420, a:1, s:1, b:1),
% 7.41/7.78 skol109 [485, 3] (w:1, o:421, a:1, s:1, b:1),
% 7.41/7.78 skol110 [486, 5] (w:1, o:490, a:1, s:1, b:1),
% 7.41/7.78 skol111 [487, 5] (w:1, o:491, a:1, s:1, b:1),
% 7.41/7.78 skol112 [488, 2] (w:1, o:348, a:1, s:1, b:1),
% 7.41/7.78 skol113 [489, 2] (w:1, o:349, a:1, s:1, b:1),
% 7.41/7.78 skol114 [490, 2] (w:1, o:350, a:1, s:1, b:1),
% 7.41/7.78 skol115 [491, 3] (w:1, o:422, a:1, s:1, b:1),
% 7.41/7.78 skol116 [492, 2] (w:1, o:351, a:1, s:1, b:1),
% 7.41/7.78 skol117 [493, 2] (w:1, o:352, a:1, s:1, b:1),
% 7.41/7.78 skol118 [494, 1] (w:1, o:263, a:1, s:1, b:1),
% 7.41/7.78 skol119 [495, 1] (w:1, o:264, a:1, s:1, b:1),
% 7.41/7.78 skol120 [496, 1] (w:1, o:265, a:1, s:1, b:1),
% 7.41/7.78 skol121 [497, 2] (w:1, o:360, a:1, s:1, b:1),
% 7.41/7.78 skol122 [498, 1] (w:1, o:266, a:1, s:1, b:1),
% 7.41/7.78 skol123 [499, 3] (w:1, o:423, a:1, s:1, b:1),
% 7.41/7.78 skol124 [500, 3] (w:1, o:424, a:1, s:1, b:1),
% 7.41/7.78 skol125 [501, 2] (w:1, o:361, a:1, s:1, b:1),
% 7.41/7.78 skol126 [502, 2] (w:1, o:362, a:1, s:1, b:1),
% 7.41/7.78 skol127 [503, 1] (w:1, o:267, a:1, s:1, b:1),
% 7.41/7.78 skol128 [504, 2] (w:1, o:363, a:1, s:1, b:1),
% 7.41/7.78 skol129 [505, 2] (w:1, o:364, a:1, s:1, b:1),
% 7.41/7.78 skol130 [506, 2] (w:1, o:365, a:1, s:1, b:1),
% 7.41/7.78 skol131 [507, 5] (w:1, o:492, a:1, s:1, b:1),
% 7.41/7.78 skol132 [508, 1] (w:1, o:268, a:1, s:1, b:1),
% 7.41/7.78 skol133 [509, 1] (w:1, o:269, a:1, s:1, b:1),
% 7.41/7.78 skol134 [510, 2] (w:1, o:366, a:1, s:1, b:1),
% 7.41/7.78 skol135 [511, 2] (w:1, o:367, a:1, s:1, b:1).
% 7.41/7.78
% 7.41/7.78
% 7.41/7.78 Starting Search:
% 7.41/7.78
% 7.41/7.78 *** allocated 256285 integers for clauses
% 7.41/7.78 Resimplifying inuse:
% 7.41/7.78 Done
% 7.41/7.78
% 7.41/7.78 *** allocated 384427 integers for clauses
% 7.41/7.78
% 7.41/7.78 Intermediate Status:
% 7.41/7.78 Generated: 3149
% 7.41/7.78 Kept: 2320
% 7.41/7.78 Inuse: 150
% 31.43/31.77 Deleted: 0
% 31.43/31.77 Deletedinuse: 0
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 6631
% 31.43/31.77 Kept: 4410
% 31.43/31.77 Inuse: 405
% 31.43/31.77 Deleted: 0
% 31.43/31.77 Deletedinuse: 0
% 31.43/31.77
% 31.43/31.77 *** allocated 576640 integers for clauses
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 *** allocated 576640 integers for termspace/termends
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 12441
% 31.43/31.77 Kept: 6565
% 31.43/31.77 Inuse: 421
% 31.43/31.77 Deleted: 0
% 31.43/31.77 Deletedinuse: 0
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 *** allocated 864960 integers for clauses
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 15886
% 31.43/31.77 Kept: 8643
% 31.43/31.77 Inuse: 451
% 31.43/31.77 Deleted: 0
% 31.43/31.77 Deletedinuse: 0
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 *** allocated 864960 integers for termspace/termends
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 *** allocated 1297440 integers for termspace/termends
% 31.43/31.77 *** allocated 1297440 integers for clauses
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 26969
% 31.43/31.77 Kept: 10859
% 31.43/31.77 Inuse: 516
% 31.43/31.77 Deleted: 0
% 31.43/31.77 Deletedinuse: 0
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 34060
% 31.43/31.77 Kept: 12927
% 31.43/31.77 Inuse: 619
% 31.43/31.77 Deleted: 3
% 31.43/31.77 Deletedinuse: 1
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 40836
% 31.43/31.77 Kept: 15060
% 31.43/31.77 Inuse: 757
% 31.43/31.77 Deleted: 5
% 31.43/31.77 Deletedinuse: 1
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 *** allocated 1946160 integers for clauses
% 31.43/31.77 *** allocated 1946160 integers for termspace/termends
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 47497
% 31.43/31.77 Kept: 17133
% 31.43/31.77 Inuse: 784
% 31.43/31.77 Deleted: 45
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 55430
% 31.43/31.77 Kept: 19161
% 31.43/31.77 Inuse: 815
% 31.43/31.77 Deleted: 63
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying clauses:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 59727
% 31.43/31.77 Kept: 21166
% 31.43/31.77 Inuse: 857
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 67750
% 31.43/31.77 Kept: 23171
% 31.43/31.77 Inuse: 899
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 *** allocated 2919240 integers for clauses
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 77970
% 31.43/31.77 Kept: 25291
% 31.43/31.77 Inuse: 946
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 81975
% 31.43/31.77 Kept: 27294
% 31.43/31.77 Inuse: 970
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 88788
% 31.43/31.77 Kept: 29316
% 31.43/31.77 Inuse: 1005
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 *** allocated 2919240 integers for termspace/termends
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 105264
% 31.43/31.77 Kept: 31764
% 31.43/31.77 Inuse: 1008
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 114803
% 31.43/31.77 Kept: 33807
% 31.43/31.77 Inuse: 1061
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 124038
% 31.43/31.77 Kept: 35899
% 31.43/31.77 Inuse: 1091
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 142312
% 31.43/31.77 Kept: 38649
% 31.43/31.77 Inuse: 1137
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 178367
% 31.43/31.77 Kept: 41353
% 31.43/31.77 Inuse: 1200
% 31.43/31.77 Deleted: 255
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying clauses:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 *** allocated 4378860 integers for clauses
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 195205
% 31.43/31.77 Kept: 43370
% 31.43/31.77 Inuse: 1206
% 31.43/31.77 Deleted: 691
% 31.43/31.77 Deletedinuse: 3
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 213748
% 31.43/31.77 Kept: 45395
% 31.43/31.77 Inuse: 1241
% 31.43/31.77 Deleted: 692
% 31.43/31.77 Deletedinuse: 4
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77
% 31.43/31.77 Intermediate Status:
% 31.43/31.77 Generated: 231780
% 31.43/31.77 Kept: 47493
% 31.43/31.77 Inuse: 1276
% 31.43/31.77 Deleted: 693
% 31.43/31.77 Deletedinuse: 5
% 31.43/31.77
% 31.43/31.77 Resimplifying inuse:
% 31.43/31.77 Done
% 31.43/31.77
% 31.43/31.77 *** allocated 4378860 integers for termspace/termends
% 95.65/96.03
% 95.65/96.03 Intermediate Status:
% 95.65/96.03 Generated: 250534
% 95.65/96.03 Kept: 51561
% 95.65/96.03 Inuse: 1286
% 95.65/96.03 Deleted: 693
% 95.65/96.03 Deletedinuse: 5
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03
% 95.65/96.03 Intermediate Status:
% 95.65/96.03 Generated: 268244
% 95.65/96.03 Kept: 55443
% 95.65/96.03 Inuse: 1291
% 95.65/96.03 Deleted: 693
% 95.65/96.03 Deletedinuse: 5
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03
% 95.65/96.03 Intermediate Status:
% 95.65/96.03 Generated: 289091
% 95.65/96.03 Kept: 58015
% 95.65/96.03 Inuse: 1306
% 95.65/96.03 Deleted: 693
% 95.65/96.03 Deletedinuse: 5
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03
% 95.65/96.03 Intermediate Status:
% 95.65/96.03 Generated: 308497
% 95.65/96.03 Kept: 60067
% 95.65/96.03 Inuse: 1315
% 95.65/96.03 Deleted: 693
% 95.65/96.03 Deletedinuse: 5
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03 Resimplifying clauses:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03
% 95.65/96.03 Intermediate Status:
% 95.65/96.03 Generated: 319768
% 95.65/96.03 Kept: 62458
% 95.65/96.03 Inuse: 1346
% 95.65/96.03 Deleted: 2679
% 95.65/96.03 Deletedinuse: 5
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03
% 95.65/96.03 Intermediate Status:
% 95.65/96.03 Generated: 328119
% 95.65/96.03 Kept: 64537
% 95.65/96.03 Inuse: 1376
% 95.65/96.03 Deleted: 2679
% 95.65/96.03 Deletedinuse: 5
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.03
% 95.65/96.03 Resimplifying inuse:
% 95.65/96.03 Done
% 95.65/96.04
% 95.65/96.04 *** allocated 6568290 integers for clauses
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 335987
% 95.65/96.04 Kept: 66574
% 95.65/96.04 Inuse: 1401
% 95.65/96.04 Deleted: 2679
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 344861
% 95.65/96.04 Kept: 68588
% 95.65/96.04 Inuse: 1425
% 95.65/96.04 Deleted: 2679
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 *** allocated 6568290 integers for termspace/termends
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 385048
% 95.65/96.04 Kept: 70691
% 95.65/96.04 Inuse: 1456
% 95.65/96.04 Deleted: 2679
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 418102
% 95.65/96.04 Kept: 74801
% 95.65/96.04 Inuse: 1476
% 95.65/96.04 Deleted: 2679
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 443036
% 95.65/96.04 Kept: 77347
% 95.65/96.04 Inuse: 1481
% 95.65/96.04 Deleted: 2679
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 452742
% 95.65/96.04 Kept: 79668
% 95.65/96.04 Inuse: 1511
% 95.65/96.04 Deleted: 2679
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 482054
% 95.65/96.04 Kept: 88679
% 95.65/96.04 Inuse: 1528
% 95.65/96.04 Deleted: 2679
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying clauses:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 491841
% 95.65/96.04 Kept: 90732
% 95.65/96.04 Inuse: 1576
% 95.65/96.04 Deleted: 2681
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 499353
% 95.65/96.04 Kept: 92851
% 95.65/96.04 Inuse: 1626
% 95.65/96.04 Deleted: 2681
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 515039
% 95.65/96.04 Kept: 95358
% 95.65/96.04 Inuse: 1651
% 95.65/96.04 Deleted: 2681
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 541959
% 95.65/96.04 Kept: 103491
% 95.65/96.04 Inuse: 1663
% 95.65/96.04 Deleted: 2682
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 *** allocated 9852435 integers for termspace/termends
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 *** allocated 9852435 integers for clauses
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 548818
% 95.65/96.04 Kept: 105523
% 95.65/96.04 Inuse: 1704
% 95.65/96.04 Deleted: 2683
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 556838
% 95.65/96.04 Kept: 107560
% 95.65/96.04 Inuse: 1719
% 95.65/96.04 Deleted: 2683
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying clauses:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 569494
% 95.65/96.04 Kept: 110671
% 95.65/96.04 Inuse: 1744
% 95.65/96.04 Deleted: 2892
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 579441
% 95.65/96.04 Kept: 113208
% 95.65/96.04 Inuse: 1764
% 95.65/96.04 Deleted: 2892
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 589721
% 95.65/96.04 Kept: 115400
% 95.65/96.04 Inuse: 1784
% 95.65/96.04 Deleted: 2892
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 95.65/96.04 Done
% 95.65/96.04
% 95.65/96.04
% 95.65/96.04 Intermediate Status:
% 95.65/96.04 Generated: 599924
% 95.65/96.04 Kept: 118141
% 95.65/96.04 Inuse: 1804
% 95.65/96.04 Deleted: 2892
% 95.65/96.04 Deletedinuse: 5
% 95.65/96.04
% 95.65/96.04 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 612419
% 204.24/204.67 Kept: 120583
% 204.24/204.67 Inuse: 1829
% 204.24/204.67 Deleted: 2892
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 627495
% 204.24/204.67 Kept: 122760
% 204.24/204.67 Inuse: 1844
% 204.24/204.67 Deleted: 2892
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 642487
% 204.24/204.67 Kept: 124950
% 204.24/204.67 Inuse: 1879
% 204.24/204.67 Deleted: 2892
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 652317
% 204.24/204.67 Kept: 127190
% 204.24/204.67 Inuse: 1909
% 204.24/204.67 Deleted: 2892
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying clauses:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 672500
% 204.24/204.67 Kept: 129603
% 204.24/204.67 Inuse: 1954
% 204.24/204.67 Deleted: 3204
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 *** allocated 14778652 integers for termspace/termends
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 681463
% 204.24/204.67 Kept: 131779
% 204.24/204.67 Inuse: 1994
% 204.24/204.67 Deleted: 3204
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 696134
% 204.24/204.67 Kept: 133846
% 204.24/204.67 Inuse: 2059
% 204.24/204.67 Deleted: 3204
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 706358
% 204.24/204.67 Kept: 136150
% 204.24/204.67 Inuse: 2104
% 204.24/204.67 Deleted: 3204
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 715231
% 204.24/204.67 Kept: 138258
% 204.24/204.67 Inuse: 2139
% 204.24/204.67 Deleted: 3204
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 728287
% 204.24/204.67 Kept: 140605
% 204.24/204.67 Inuse: 2179
% 204.24/204.67 Deleted: 3204
% 204.24/204.67 Deletedinuse: 5
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 757296
% 204.24/204.67 Kept: 142934
% 204.24/204.67 Inuse: 2253
% 204.24/204.67 Deleted: 3206
% 204.24/204.67 Deletedinuse: 6
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 *** allocated 14778652 integers for clauses
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 777980
% 204.24/204.67 Kept: 145077
% 204.24/204.67 Inuse: 2288
% 204.24/204.67 Deleted: 3206
% 204.24/204.67 Deletedinuse: 6
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 791694
% 204.24/204.67 Kept: 147095
% 204.24/204.67 Inuse: 2333
% 204.24/204.67 Deleted: 3206
% 204.24/204.67 Deletedinuse: 6
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 839025
% 204.24/204.67 Kept: 149201
% 204.24/204.67 Inuse: 2368
% 204.24/204.67 Deleted: 3206
% 204.24/204.67 Deletedinuse: 6
% 204.24/204.67
% 204.24/204.67 Resimplifying clauses:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 849905
% 204.24/204.67 Kept: 152271
% 204.24/204.67 Inuse: 2383
% 204.24/204.67 Deleted: 3663
% 204.24/204.67 Deletedinuse: 7
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 861335
% 204.24/204.67 Kept: 155016
% 204.24/204.67 Inuse: 2393
% 204.24/204.67 Deleted: 3663
% 204.24/204.67 Deletedinuse: 7
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 874666
% 204.24/204.67 Kept: 157112
% 204.24/204.67 Inuse: 2403
% 204.24/204.67 Deleted: 3663
% 204.24/204.67 Deletedinuse: 7
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 888601
% 204.24/204.67 Kept: 160573
% 204.24/204.67 Inuse: 2413
% 204.24/204.67 Deleted: 3663
% 204.24/204.67 Deletedinuse: 7
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 *** allocated 22167978 integers for termspace/termends
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 911641
% 204.24/204.67 Kept: 162606
% 204.24/204.67 Inuse: 2424
% 204.24/204.67 Deleted: 3663
% 204.24/204.67 Deletedinuse: 7
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 935355
% 204.24/204.67 Kept: 164621
% 204.24/204.67 Inuse: 2442
% 204.24/204.67 Deleted: 3680
% 204.24/204.67 Deletedinuse: 9
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 946796
% 204.24/204.67 Kept: 166634
% 204.24/204.67 Inuse: 2464
% 204.24/204.67 Deleted: 3680
% 204.24/204.67 Deletedinuse: 9
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 964939
% 204.24/204.67 Kept: 168938
% 204.24/204.67 Inuse: 2498
% 204.24/204.67 Deleted: 3680
% 204.24/204.67 Deletedinuse: 9
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying clauses:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67
% 204.24/204.67 Intermediate Status:
% 204.24/204.67 Generated: 982591
% 204.24/204.67 Kept: 171000
% 204.24/204.67 Inuse: 2548
% 204.24/204.67 Deleted: 4475
% 204.24/204.67 Deletedinuse: 9
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 204.24/204.67 Done
% 204.24/204.67
% 204.24/204.67 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82
% 245.42/245.82 Intermediate Status:
% 245.42/245.82 Generated: 994334
% 245.42/245.82 Kept: 173428
% 245.42/245.82 Inuse: 2598
% 245.42/245.82 Deleted: 4476
% 245.42/245.82 Deletedinuse: 10
% 245.42/245.82
% 245.42/245.82 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82
% 245.42/245.82 Intermediate Status:
% 245.42/245.82 Generated: 1014564
% 245.42/245.82 Kept: 178453
% 245.42/245.82 Inuse: 2618
% 245.42/245.82 Deleted: 4476
% 245.42/245.82 Deletedinuse: 10
% 245.42/245.82
% 245.42/245.82 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82
% 245.42/245.82 Intermediate Status:
% 245.42/245.82 Generated: 1035641
% 245.42/245.82 Kept: 180453
% 245.42/245.82 Inuse: 2646
% 245.42/245.82 Deleted: 4476
% 245.42/245.82 Deletedinuse: 10
% 245.42/245.82
% 245.42/245.82 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82
% 245.42/245.82 Intermediate Status:
% 245.42/245.82 Generated: 1042603
% 245.42/245.82 Kept: 182473
% 245.42/245.82 Inuse: 2670
% 245.42/245.82 Deleted: 4476
% 245.42/245.82 Deletedinuse: 10
% 245.42/245.82
% 245.42/245.82 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82
% 245.42/245.82 Intermediate Status:
% 245.42/245.82 Generated: 1054380
% 245.42/245.82 Kept: 184480
% 245.42/245.82 Inuse: 2699
% 245.42/245.82 Deleted: 4476
% 245.42/245.82 Deletedinuse: 10
% 245.42/245.82
% 245.42/245.82 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82
% 245.42/245.82 Intermediate Status:
% 245.42/245.82 Generated: 1160783
% 245.42/245.82 Kept: 189774
% 245.42/245.82 Inuse: 2747
% 245.42/245.82 Deleted: 4478
% 245.42/245.82 Deletedinuse: 11
% 245.42/245.82
% 245.42/245.82 Resimplifying inuse:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82 Resimplifying clauses:
% 245.42/245.82 Done
% 245.42/245.82
% 245.42/245.82
% 245.42/245.82 Intermediate Status:
% 245.42/245.82 Generated: 1204178
% 245.42/245.83 Kept: 194369
% 245.42/245.83 Inuse: 2752
% 245.42/245.83 Deleted: 4645
% 245.42/245.83 Deletedinuse: 11
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1247336
% 245.42/245.83 Kept: 196690
% 245.42/245.83 Inuse: 2767
% 245.42/245.83 Deleted: 4649
% 245.42/245.83 Deletedinuse: 15
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1257987
% 245.42/245.83 Kept: 199029
% 245.42/245.83 Inuse: 2787
% 245.42/245.83 Deleted: 4649
% 245.42/245.83 Deletedinuse: 15
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1264713
% 245.42/245.83 Kept: 201261
% 245.42/245.83 Inuse: 2827
% 245.42/245.83 Deleted: 4649
% 245.42/245.83 Deletedinuse: 15
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1274813
% 245.42/245.83 Kept: 203321
% 245.42/245.83 Inuse: 2862
% 245.42/245.83 Deleted: 4649
% 245.42/245.83 Deletedinuse: 15
% 245.42/245.83
% 245.42/245.83 *** allocated 22167978 integers for clauses
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1302283
% 245.42/245.83 Kept: 205969
% 245.42/245.83 Inuse: 2902
% 245.42/245.83 Deleted: 4650
% 245.42/245.83 Deletedinuse: 16
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1315060
% 245.42/245.83 Kept: 208035
% 245.42/245.83 Inuse: 2952
% 245.42/245.83 Deleted: 4650
% 245.42/245.83 Deletedinuse: 16
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying clauses:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1330644
% 245.42/245.83 Kept: 210101
% 245.42/245.83 Inuse: 2987
% 245.42/245.83 Deleted: 5533
% 245.42/245.83 Deletedinuse: 16
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1346813
% 245.42/245.83 Kept: 212252
% 245.42/245.83 Inuse: 3002
% 245.42/245.83 Deleted: 5533
% 245.42/245.83 Deletedinuse: 16
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1354570
% 245.42/245.83 Kept: 214402
% 245.42/245.83 Inuse: 3027
% 245.42/245.83 Deleted: 5533
% 245.42/245.83 Deletedinuse: 16
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1384985
% 245.42/245.83 Kept: 220484
% 245.42/245.83 Inuse: 3067
% 245.42/245.83 Deleted: 5533
% 245.42/245.83 Deletedinuse: 16
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1406556
% 245.42/245.83 Kept: 225398
% 245.42/245.83 Inuse: 3072
% 245.42/245.83 Deleted: 5533
% 245.42/245.83 Deletedinuse: 16
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1623192
% 245.42/245.83 Kept: 231306
% 245.42/245.83 Inuse: 3132
% 245.42/245.83 Deleted: 5533
% 245.42/245.83 Deletedinuse: 16
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying clauses:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1634219
% 245.42/245.83 Kept: 233640
% 245.42/245.83 Inuse: 3172
% 245.42/245.83 Deleted: 5644
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1642165
% 245.42/245.83 Kept: 235825
% 245.42/245.83 Inuse: 3207
% 245.42/245.83 Deleted: 5644
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1652452
% 245.42/245.83 Kept: 238276
% 245.42/245.83 Inuse: 3232
% 245.42/245.83 Deleted: 5644
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 *** allocated 33251967 integers for termspace/termends
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1665270
% 245.42/245.83 Kept: 240632
% 245.42/245.83 Inuse: 3247
% 245.42/245.83 Deleted: 5644
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1673756
% 245.42/245.83 Kept: 243139
% 245.42/245.83 Inuse: 3257
% 245.42/245.83 Deleted: 5644
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1681299
% 245.42/245.83 Kept: 245306
% 245.42/245.83 Inuse: 3277
% 245.42/245.83 Deleted: 5644
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1740853
% 245.42/245.83 Kept: 248537
% 245.42/245.83 Inuse: 3302
% 245.42/245.83 Deleted: 5644
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1781544
% 245.42/245.83 Kept: 250977
% 245.42/245.83 Inuse: 3322
% 245.42/245.83 Deleted: 5644
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying clauses:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1795183
% 245.42/245.83 Kept: 253763
% 245.42/245.83 Inuse: 3337
% 245.42/245.83 Deleted: 5767
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1807859
% 245.42/245.83 Kept: 256044
% 245.42/245.83 Inuse: 3347
% 245.42/245.83 Deleted: 5767
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83 Resimplifying inuse:
% 245.42/245.83 Done
% 245.42/245.83
% 245.42/245.83
% 245.42/245.83 Intermediate Status:
% 245.42/245.83 Generated: 1824070
% 245.42/245.83 Kept: 259270
% 245.42/245.83 Inuse: 3377
% 245.42/245.83 Deleted: 5767
% 245.42/245.83 Deletedinuse: 17
% 245.42/245.84
% 245.42/245.84 Resimplifying inuse:
% 245.42/245.84 Done
% 245.42/245.84
% 245.42/245.84 assignments is full
% 245.42/245.84
% 245.42/245.84 Memory use:
% 245.42/245.84
% 245.42/245.84 space for terms: 25827537
% 245.42/245.84 space for clauses: 20650230
% 245.42/245.84
% 245.42/245.84
% 245.42/245.84 clauses generated: 1824167
% 245.42/245.84 clauses kept: 259271
% 245.42/245.84 clauses selected: 3382
% 245.42/245.84 clauses deleted: 5767
% 245.42/245.84 clauses inuse deleted: 17
% 245.42/245.84
% 245.42/245.84 subsentry: 47907810
% 245.42/245.84 literals s-matched: 7001458
% 245.42/245.84 literals matched: 6317598
% 245.42/245.84 full subsumption: 3733889
% 245.42/245.84
% 245.42/245.84 checksum: -130011575
% 245.42/245.84
% 245.42/245.84
% 245.42/245.84 Bliksem ended
%------------------------------------------------------------------------------